---
_id: '37354'
author:
- first_name: Youshan
full_name: Tao, Youshan
last_name: Tao
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion
system modeling oncolytic virotherapy. Journal of Differential Equations.
2020;268:4973-4997.
apa: Tao, Y., & Winkler, M. (2020). Global classical solutions to a doubly haptotactic
cross-diffusion system modeling oncolytic virotherapy. Journal of Differential
Equations, 268, 4973–4997.
bibtex: '@article{Tao_Winkler_2020, title={Global classical solutions to a doubly
haptotactic cross-diffusion system modeling oncolytic virotherapy.}, volume={268},
journal={Journal of Differential Equations}, author={Tao, Youshan and Winkler,
Michael}, year={2020}, pages={4973–4997} }'
chicago: 'Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly
Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal
of Differential Equations 268 (2020): 4973–97.'
ieee: Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic
cross-diffusion system modeling oncolytic virotherapy.,” Journal of Differential
Equations, vol. 268, pp. 4973–4997, 2020.
mla: Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly
Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal
of Differential Equations, vol. 268, 2020, pp. 4973–97.
short: Y. Tao, M. Winkler, Journal of Differential Equations 268 (2020) 4973–4997.
date_created: 2023-01-18T12:23:40Z
date_updated: 2023-01-20T13:14:20Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 268'
language:
- iso: eng
page: 4973-4997
publication: Journal of Differential Equations
status: public
title: Global classical solutions to a doubly haptotactic cross-diffusion system modeling
oncolytic virotherapy.
type: journal_article
user_id: '15645'
volume: 268
year: '2020'
...
---
_id: '37351'
article_number: '111870'
author:
- first_name: Youshan
full_name: Tao, Youshan
last_name: Tao
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Tao Y, Winkler M. A critical virus production rate for blow-up suppression
in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis. 2020;198.
apa: Tao, Y., & Winkler, M. (2020). A critical virus production rate for blow-up
suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis,
198, Article 111870.
bibtex: '@article{Tao_Winkler_2020, title={A critical virus production rate for
blow-up suppression in a haptotaxis model for oncolytic virotherapy.}, volume={198},
number={111870}, journal={Nonlinear Analysis}, author={Tao, Youshan and Winkler,
Michael}, year={2020} }'
chicago: Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for
Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” Nonlinear
Analysis 198 (2020).
ieee: Y. Tao and M. Winkler, “A critical virus production rate for blow-up suppression
in a haptotaxis model for oncolytic virotherapy.,” Nonlinear Analysis,
vol. 198, Art. no. 111870, 2020.
mla: Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up
Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” Nonlinear Analysis,
vol. 198, 111870, 2020.
short: Y. Tao, M. Winkler, Nonlinear Analysis 198 (2020).
date_created: 2023-01-18T12:20:31Z
date_updated: 2023-01-20T13:14:24Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 198'
language:
- iso: eng
publication: Nonlinear Analysis
status: public
title: A critical virus production rate for blow-up suppression in a haptotaxis model
for oncolytic virotherapy.
type: journal_article
user_id: '15645'
volume: 198
year: '2020'
...
---
_id: '37349'
author:
- first_name: Christian
full_name: Stinner, Christian
last_name: Stinner
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Stinner C, Winkler M. Refined regularity and stabilization properties in a
degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A.
2020;40:4039-4058.
apa: Stinner, C., & Winkler, M. (2020). Refined regularity and stabilization
properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical
Systems --A, 40, 4039–4058.
bibtex: '@article{Stinner_Winkler_2020, title={Refined regularity and stabilization
properties in a degenerate haptotaxis system}, volume={40}, journal={Discrete
and Continuous Dynamical Systems --A}, author={Stinner, Christian and Winkler,
Michael}, year={2020}, pages={4039–4058} }'
chicago: 'Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization
Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical
Systems --A 40 (2020): 4039–58.'
ieee: C. Stinner and M. Winkler, “Refined regularity and stabilization properties
in a degenerate haptotaxis system,” Discrete and Continuous Dynamical Systems
--A, vol. 40, pp. 4039–4058, 2020.
mla: Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization
Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical
Systems --A, vol. 40, 2020, pp. 4039–58.
short: C. Stinner, M. Winkler, Discrete and Continuous Dynamical Systems --A 40
(2020) 4039–4058.
date_created: 2023-01-18T12:17:21Z
date_updated: 2023-01-20T13:14:30Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 40'
language:
- iso: eng
page: 4039-4058
publication: Discrete and Continuous Dynamical Systems --A
status: public
title: Refined regularity and stabilization properties in a degenerate haptotaxis
system
type: journal_article
user_id: '15645'
volume: 40
year: '2020'
...
---
_id: '35820'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Angela
full_name: Schmitz, Angela
last_name: Schmitz
- first_name: Yael
full_name: Fleischmann, Yael
last_name: Fleischmann
- first_name: Sandra
full_name: Krämer, Sandra
last_name: Krämer
- first_name: Laura
full_name: Ostsieker, Laura
last_name: Ostsieker
- first_name: Sarah
full_name: Schlüter, Sarah
last_name: Schlüter
citation:
ama: 'Biehler R, Liebendörfer M, Schmitz A, et al. studiVEMINTvideos – Mathematische
Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr. In:
Siller H-S, Weigel W, Wörler JF, eds. Beiträge zum Mathematikunterricht 2020.
WTM; 2020. doi:10.17877/DE290R-21234'
apa: Biehler, R., Liebendörfer, M., Schmitz, A., Fleischmann, Y., Krämer, S., Ostsieker,
L., & Schlüter, S. (2020). studiVEMINTvideos – Mathematische Lernvideos zur
Studienvorbereitung und Unterstützung im ersten Studienjahr. In H.-S. Siller,
W. Weigel, & J. F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020.
WTM. https://doi.org/10.17877/DE290R-21234
bibtex: '@inbook{Biehler_Liebendörfer_Schmitz_Fleischmann_Krämer_Ostsieker_Schlüter_2020,
place={Münster}, title={studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung
und Unterstützung im ersten Studienjahr}, DOI={10.17877/DE290R-21234},
booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM}, author={Biehler,
Rolf and Liebendörfer, Michael and Schmitz, Angela and Fleischmann, Yael and Krämer,
Sandra and Ostsieker, Laura and Schlüter, Sarah}, editor={Siller, H.-S. and Weigel,
W. and Wörler, J. F.}, year={2020} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, Angela Schmitz, Yael Fleischmann,
Sandra Krämer, Laura Ostsieker, and Sarah Schlüter. “studiVEMINTvideos – Mathematische
Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr.” In
Beiträge zum Mathematikunterricht 2020, edited by H.-S. Siller, W. Weigel,
and J. F. Wörler. Münster: WTM, 2020. https://doi.org/10.17877/DE290R-21234.'
ieee: 'R. Biehler et al., “studiVEMINTvideos – Mathematische Lernvideos zur
Studienvorbereitung und Unterstützung im ersten Studienjahr,” in Beiträge zum
Mathematikunterricht 2020, H.-S. Siller, W. Weigel, and J. F. Wörler, Eds.
Münster: WTM, 2020.'
mla: Biehler, Rolf, et al. “studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung
und Unterstützung im ersten Studienjahr.” Beiträge zum Mathematikunterricht
2020, edited by H.-S. Siller et al., WTM, 2020, doi:10.17877/DE290R-21234.
short: 'R. Biehler, M. Liebendörfer, A. Schmitz, Y. Fleischmann, S. Krämer, L. Ostsieker,
S. Schlüter, in: H.-S. Siller, W. Weigel, J.F. Wörler (Eds.), Beiträge zum Mathematikunterricht
2020, WTM, Münster, 2020.'
date_created: 2023-01-10T11:35:02Z
date_updated: 2023-01-24T08:57:22Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
doi: 10.17877/DE290R-21234
editor:
- first_name: H.-S.
full_name: Siller, H.-S.
last_name: Siller
- first_name: W.
full_name: Weigel, W.
last_name: Weigel
- first_name: J. F.
full_name: Wörler, J. F.
last_name: Wörler
language:
- iso: ger
place: Münster
publication: Beiträge zum Mathematikunterricht 2020
publisher: WTM
status: public
title: studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung
im ersten Studienjahr
type: book_chapter
user_id: '30933'
year: '2020'
...
---
_id: '37660'
article_number: '108506'
author:
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
citation:
ama: Rösler M. Riesz distributions and Laplace transform in the Dunkl setting of
type A. Journal of Functional Analysis. 2020;278(12). doi:10.1016/j.jfa.2020.108506
apa: Rösler, M. (2020). Riesz distributions and Laplace transform in the Dunkl setting
of type A. Journal of Functional Analysis, 278(12), Article 108506.
https://doi.org/10.1016/j.jfa.2020.108506
bibtex: '@article{Rösler_2020, title={Riesz distributions and Laplace transform
in the Dunkl setting of type A}, volume={278}, DOI={10.1016/j.jfa.2020.108506},
number={12108506}, journal={Journal of Functional Analysis}, publisher={Elsevier
BV}, author={Rösler, Margit}, year={2020} }'
chicago: Rösler, Margit. “Riesz Distributions and Laplace Transform in the Dunkl
Setting of Type A.” Journal of Functional Analysis 278, no. 12 (2020).
https://doi.org/10.1016/j.jfa.2020.108506.
ieee: 'M. Rösler, “Riesz distributions and Laplace transform in the Dunkl setting
of type A,” Journal of Functional Analysis, vol. 278, no. 12, Art. no.
108506, 2020, doi: 10.1016/j.jfa.2020.108506.'
mla: Rösler, Margit. “Riesz Distributions and Laplace Transform in the Dunkl Setting
of Type A.” Journal of Functional Analysis, vol. 278, no. 12, 108506, Elsevier
BV, 2020, doi:10.1016/j.jfa.2020.108506.
short: M. Rösler, Journal of Functional Analysis 278 (2020).
date_created: 2023-01-20T09:22:53Z
date_updated: 2023-01-24T22:16:07Z
department:
- _id: '555'
doi: 10.1016/j.jfa.2020.108506
intvolume: ' 278'
issue: '12'
keyword:
- Analysis
language:
- iso: eng
publication: Journal of Functional Analysis
publication_identifier:
issn:
- 0022-1236
publication_status: published
publisher: Elsevier BV
status: public
title: Riesz distributions and Laplace transform in the Dunkl setting of type A
type: journal_article
user_id: '93826'
volume: 278
year: '2020'
...
---
_id: '40051'
author:
- first_name: Tomasz
full_name: Luks, Tomasz
id: '58312'
last_name: Luks
- first_name: Yimin
full_name: Xiao, Yimin
last_name: Xiao
citation:
ama: Luks T, Xiao Y. Multiple Points of Operator Semistable Lévy Processes. Journal
of Theoretical Probability. 2020;33(1):153-179. doi:10.1007/s10959-018-0859-4
apa: Luks, T., & Xiao, Y. (2020). Multiple Points of Operator Semistable Lévy
Processes. Journal of Theoretical Probability, 33(1), 153–179. https://doi.org/10.1007/s10959-018-0859-4
bibtex: '@article{Luks_Xiao_2020, title={Multiple Points of Operator Semistable
Lévy Processes}, volume={33}, DOI={10.1007/s10959-018-0859-4},
number={1}, journal={Journal of Theoretical Probability}, publisher={Springer
Science and Business Media LLC}, author={Luks, Tomasz and Xiao, Yimin}, year={2020},
pages={153–179} }'
chicago: 'Luks, Tomasz, and Yimin Xiao. “Multiple Points of Operator Semistable
Lévy Processes.” Journal of Theoretical Probability 33, no. 1 (2020): 153–79.
https://doi.org/10.1007/s10959-018-0859-4.'
ieee: 'T. Luks and Y. Xiao, “Multiple Points of Operator Semistable Lévy Processes,”
Journal of Theoretical Probability, vol. 33, no. 1, pp. 153–179, 2020,
doi: 10.1007/s10959-018-0859-4.'
mla: Luks, Tomasz, and Yimin Xiao. “Multiple Points of Operator Semistable Lévy
Processes.” Journal of Theoretical Probability, vol. 33, no. 1, Springer
Science and Business Media LLC, 2020, pp. 153–79, doi:10.1007/s10959-018-0859-4.
short: T. Luks, Y. Xiao, Journal of Theoretical Probability 33 (2020) 153–179.
date_created: 2023-01-25T15:12:16Z
date_updated: 2023-01-26T17:19:17Z
department:
- _id: '555'
doi: 10.1007/s10959-018-0859-4
intvolume: ' 33'
issue: '1'
language:
- iso: eng
page: 153-179
publication: Journal of Theoretical Probability
publication_identifier:
issn:
- 0894-9840
- 1572-9230
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Multiple Points of Operator Semistable Lévy Processes
type: journal_article
user_id: '58312'
volume: 33
year: '2020'
...
---
_id: '37339'
author:
- first_name: Evi
full_name: Steiner, Evi
last_name: Steiner
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Steiner E, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration
Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science.
2020;30:1809-1847.
apa: Steiner, E., & Winkler, M. (2020). Mathematical Analysis of Two Competing
Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal
of Nonlinear Science, 30, 1809–1847.
bibtex: '@article{Steiner_Winkler_2020, title={Mathematical Analysis of Two Competing
Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow}, volume={30},
journal={Journal of Nonlinear Science}, author={Steiner, Evi and Winkler, Michael},
year={2020}, pages={1809–1847} }'
chicago: 'Steiner, Evi, and Michael Winkler. “Mathematical Analysis of Two Competing
Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal
of Nonlinear Science 30 (2020): 1809–47.'
ieee: E. Steiner and M. Winkler, “Mathematical Analysis of Two Competing Cancer
Cell Migration Mechanisms Driven by Interstitial Fluid Flow,” Journal of Nonlinear
Science, vol. 30, pp. 1809–1847, 2020.
mla: Steiner, Evi, and Michael Winkler. “Mathematical Analysis of Two Competing
Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal
of Nonlinear Science, vol. 30, 2020, pp. 1809–47.
short: E. Steiner, M. Winkler, Journal of Nonlinear Science 30 (2020) 1809–1847.
date_created: 2023-01-18T11:57:20Z
date_updated: 2023-01-30T15:43:49Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 30'
language:
- iso: eng
page: 1809-1847
publication: Journal of Nonlinear Science
status: public
title: Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven
by Interstitial Fluid Flow
type: journal_article
user_id: '14931'
volume: 30
year: '2020'
...
---
_id: '34842'
abstract:
- lang: eng
text: Let D<0 be a fundamental discriminant and denote by E(D) the exponent of the
ideal class group Cl(D) of K=ℚ(√D). Under the assumption that no Siegel zeros
exist we compute all such D with E(D) dividing 8. We compute all D with |D| ≤
3.1⋅10²⁰ such that E(D) ≤ 8.
author:
- first_name: Andreas-Stephan
full_name: Elsenhans, Andreas-Stephan
last_name: Elsenhans
- first_name: Jürgen
full_name: Klüners, Jürgen
id: '21202'
last_name: Klüners
- first_name: Florin
full_name: Nicolae, Florin
last_name: Nicolae
citation:
ama: Elsenhans A-S, Klüners J, Nicolae F. Imaginary quadratic number fields with
class groups of small exponent. Acta Arithmetica. 2020;193(3):217-233.
doi:10.4064/aa180220-20-3
apa: Elsenhans, A.-S., Klüners, J., & Nicolae, F. (2020). Imaginary quadratic
number fields with class groups of small exponent. Acta Arithmetica, 193(3),
217–233. https://doi.org/10.4064/aa180220-20-3
bibtex: '@article{Elsenhans_Klüners_Nicolae_2020, title={Imaginary quadratic number
fields with class groups of small exponent}, volume={193}, DOI={10.4064/aa180220-20-3},
number={3}, journal={Acta Arithmetica}, publisher={Institute of Mathematics, Polish
Academy of Sciences}, author={Elsenhans, Andreas-Stephan and Klüners, Jürgen and
Nicolae, Florin}, year={2020}, pages={217–233} }'
chicago: 'Elsenhans, Andreas-Stephan, Jürgen Klüners, and Florin Nicolae. “Imaginary
Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica
193, no. 3 (2020): 217–33. https://doi.org/10.4064/aa180220-20-3.'
ieee: 'A.-S. Elsenhans, J. Klüners, and F. Nicolae, “Imaginary quadratic number
fields with class groups of small exponent,” Acta Arithmetica, vol. 193,
no. 3, pp. 217–233, 2020, doi: 10.4064/aa180220-20-3.'
mla: Elsenhans, Andreas-Stephan, et al. “Imaginary Quadratic Number Fields with
Class Groups of Small Exponent.” Acta Arithmetica, vol. 193, no. 3, Institute
of Mathematics, Polish Academy of Sciences, 2020, pp. 217–33, doi:10.4064/aa180220-20-3.
short: A.-S. Elsenhans, J. Klüners, F. Nicolae, Acta Arithmetica 193 (2020) 217–233.
date_created: 2022-12-22T10:51:13Z
date_updated: 2023-03-06T10:19:53Z
department:
- _id: '102'
doi: 10.4064/aa180220-20-3
external_id:
arxiv:
- '1803.02056 '
intvolume: ' 193'
issue: '3'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 217-233
publication: Acta Arithmetica
publication_identifier:
issn:
- 0065-1036
- 1730-6264
publication_status: published
publisher: Institute of Mathematics, Polish Academy of Sciences
status: public
title: Imaginary quadratic number fields with class groups of small exponent
type: journal_article
user_id: '93826'
volume: 193
year: '2020'
...
---
_id: '34841'
abstract:
- lang: eng
text: "We give an exact formula for the number of G-extensions of local function
fields Fq((t)) for finite abelian groups G up to a conductor bound. As an application
we give a lower bound for the corresponding counting problem by discriminant.\r\n"
author:
- first_name: Jürgen
full_name: Klüners, Jürgen
id: '21202'
last_name: Klüners
- first_name: Raphael
full_name: Müller, Raphael
last_name: Müller
citation:
ama: Klüners J, Müller R. The conductor density of local function fields with abelian
Galois group. Journal of Number Theory. 2020;212:311-322. doi:10.1016/j.jnt.2019.11.007
apa: Klüners, J., & Müller, R. (2020). The conductor density of local function
fields with abelian Galois group. Journal of Number Theory, 212,
311–322. https://doi.org/10.1016/j.jnt.2019.11.007
bibtex: '@article{Klüners_Müller_2020, title={The conductor density of local function
fields with abelian Galois group}, volume={212}, DOI={10.1016/j.jnt.2019.11.007},
journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Klüners,
Jürgen and Müller, Raphael}, year={2020}, pages={311–322} }'
chicago: 'Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function
Fields with Abelian Galois Group.” Journal of Number Theory 212 (2020):
311–22. https://doi.org/10.1016/j.jnt.2019.11.007.'
ieee: 'J. Klüners and R. Müller, “The conductor density of local function fields
with abelian Galois group,” Journal of Number Theory, vol. 212, pp. 311–322,
2020, doi: 10.1016/j.jnt.2019.11.007.'
mla: Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function
Fields with Abelian Galois Group.” Journal of Number Theory, vol. 212,
Elsevier BV, 2020, pp. 311–22, doi:10.1016/j.jnt.2019.11.007.
short: J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322.
date_created: 2022-12-22T10:50:03Z
date_updated: 2023-03-06T10:23:09Z
department:
- _id: '102'
doi: 10.1016/j.jnt.2019.11.007
external_id:
arxiv:
- '1904.02573 '
intvolume: ' 212'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 311-322
publication: Journal of Number Theory
publication_identifier:
issn:
- 0022-314X
publication_status: published
publisher: Elsevier BV
status: public
title: The conductor density of local function fields with abelian Galois group
type: journal_article
user_id: '93826'
volume: 212
year: '2020'
...
---
_id: '44331'
abstract:
- lang: eng
text: In this paper, we study properties of the algebras of planar quasi-invariants.
These algebras are Cohen–Macaulay and Gorenstein in codimension one. Using the
technique of matrix problems, we classify all Cohen–Macaulay modules of rank one
over them and determine their Picard groups. In terms of this classification,
we describe the spectral modules of the planar rational Calogero–Moser systems.
Finally, we elaborate the theory of the algebraic inverse scattering method, providing
explicit computations of some ‘isospectral deformations’ of the planar rational
Calogero–Moser system in the case of the split rational potential.
author:
- first_name: Igor
full_name: Burban, Igor
id: '72064'
last_name: Burban
- first_name: A.
full_name: Zheglov, A.
last_name: Zheglov
citation:
ama: Burban I, Zheglov A. Cohen-Macaulay modules over the algebra of planar quasi-invariants
and Calogero-Moser systems. Proceedings of the London Mathematical Society.
2020;121(4):1033–1082. doi:10.1112/plms.12341
apa: Burban, I., & Zheglov, A. (2020). Cohen-Macaulay modules over the algebra
of planar quasi-invariants and Calogero-Moser systems. Proceedings of the London
Mathematical Society, 121(4), 1033–1082. https://doi.org/10.1112/plms.12341
bibtex: '@article{Burban_Zheglov_2020, title={Cohen-Macaulay modules over the algebra
of planar quasi-invariants and Calogero-Moser systems}, volume={121}, DOI={10.1112/plms.12341}, number={4},
journal={Proceedings of the London Mathematical Society}, author={Burban, Igor
and Zheglov, A.}, year={2020}, pages={1033–1082} }'
chicago: 'Burban, Igor, and A. Zheglov. “Cohen-Macaulay Modules over the Algebra
of Planar Quasi-Invariants and Calogero-Moser Systems.” Proceedings of the
London Mathematical Society 121, no. 4 (2020): 1033–1082. https://doi.org/10.1112/plms.12341.'
ieee: 'I. Burban and A. Zheglov, “Cohen-Macaulay modules over the algebra of planar
quasi-invariants and Calogero-Moser systems,” Proceedings of the London Mathematical
Society, vol. 121, no. 4, pp. 1033–1082, 2020, doi: 10.1112/plms.12341.'
mla: Burban, Igor, and A. Zheglov. “Cohen-Macaulay Modules over the Algebra of Planar
Quasi-Invariants and Calogero-Moser Systems.” Proceedings of the London Mathematical
Society, vol. 121, no. 4, 2020, pp. 1033–1082, doi:10.1112/plms.12341.
short: I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121
(2020) 1033–1082.
date_created: 2023-05-02T18:47:19Z
date_updated: 2023-05-07T01:30:54Z
department:
- _id: '602'
doi: 10.1112/plms.12341
intvolume: ' 121'
issue: '4'
language:
- iso: eng
page: 1033–1082
publication: Proceedings of the London Mathematical Society
publication_status: published
status: public
title: Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser
systems
type: journal_article
user_id: '49063'
volume: 121
year: '2020'
...
---
_id: '45385'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
citation:
ama: 'Dröse J, Prediger S. Lesen lernen von Aufgabentexten. In: Prediger S, ed.
Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes
Praxisbuch . Cornelsen; 2020:86-94.'
apa: Dröse, J., & Prediger, S. (2020). Lesen lernen von Aufgabentexten. In S.
Prediger (Ed.), Sprachbildender Mathematikunterricht in der Sekundarstufe -
ein forschungsbasiertes Praxisbuch (pp. 86–94). Cornelsen.
bibtex: '@inbook{Dröse_Prediger_2020, place={Berlin}, title={Lesen lernen von Aufgabentexten},
booktitle={Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes
Praxisbuch }, publisher={Cornelsen}, author={Dröse, Jennifer and Prediger, Susanne},
editor={Prediger, Susanne}, year={2020}, pages={86–94} }'
chicago: 'Dröse, Jennifer, and Susanne Prediger. “Lesen lernen von Aufgabentexten.”
In Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes
Praxisbuch , edited by Susanne Prediger, 86–94. Berlin: Cornelsen, 2020.'
ieee: 'J. Dröse and S. Prediger, “Lesen lernen von Aufgabentexten,” in Sprachbildender
Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch
, S. Prediger, Ed. Berlin: Cornelsen, 2020, pp. 86–94.'
mla: Dröse, Jennifer, and Susanne Prediger. “Lesen lernen von Aufgabentexten.” Sprachbildender
Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch
, edited by Susanne Prediger, Cornelsen, 2020, pp. 86–94.
short: 'J. Dröse, S. Prediger, in: S. Prediger (Ed.), Sprachbildender Mathematikunterricht
in der Sekundarstufe - ein forschungsbasiertes Praxisbuch , Cornelsen, Berlin,
2020, pp. 86–94.'
date_created: 2023-05-31T07:20:50Z
date_updated: 2023-05-31T07:21:01Z
department:
- _id: '98'
editor:
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
language:
- iso: ger
page: 86-94
place: Berlin
publication: 'Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes
Praxisbuch '
publisher: Cornelsen
status: public
title: Lesen lernen von Aufgabentexten
type: book_chapter
user_id: '21240'
year: '2020'
...
---
_id: '45688'
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: A.
full_name: Vogtländer, A.
last_name: Vogtländer
citation:
ama: 'Bruns J, Vogtländer A. Frühe alltagsintegrierte mathematische Bildung. Eine
Einleitung. In: Born-Rauchecker E, Vogtländer A, Weber K, eds. Frühe alltagsintegrierte
mathematische Bildung. Handreichung für Lehrende. Kallmeyer; 2020:37-46.'
apa: Bruns, J., & Vogtländer, A. (2020). Frühe alltagsintegrierte mathematische
Bildung. Eine Einleitung. In E. Born-Rauchecker, A. Vogtländer, & K. Weber
(Eds.), Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende
(pp. 37–46). Kallmeyer.
bibtex: '@inbook{Bruns_Vogtländer_2020, place={Hannover}, title={Frühe alltagsintegrierte
mathematische Bildung. Eine Einleitung}, booktitle={Frühe alltagsintegrierte mathematische
Bildung. Handreichung für Lehrende}, publisher={Kallmeyer}, author={Bruns, Julia
and Vogtländer, A.}, editor={Born-Rauchecker, E. and Vogtländer, A. and Weber,
K.}, year={2020}, pages={37–46} }'
chicago: 'Bruns, Julia, and A. Vogtländer. “Frühe alltagsintegrierte mathematische
Bildung. Eine Einleitung.” In Frühe alltagsintegrierte mathematische Bildung.
Handreichung für Lehrende, edited by E. Born-Rauchecker, A. Vogtländer, and
K. Weber, 37–46. Hannover: Kallmeyer, 2020.'
ieee: 'J. Bruns and A. Vogtländer, “Frühe alltagsintegrierte mathematische Bildung.
Eine Einleitung,” in Frühe alltagsintegrierte mathematische Bildung. Handreichung
für Lehrende, E. Born-Rauchecker, A. Vogtländer, and K. Weber, Eds. Hannover:
Kallmeyer, 2020, pp. 37–46.'
mla: Bruns, Julia, and A. Vogtländer. “Frühe alltagsintegrierte mathematische Bildung.
Eine Einleitung.” Frühe alltagsintegrierte mathematische Bildung. Handreichung
für Lehrende, edited by E. Born-Rauchecker et al., Kallmeyer, 2020, pp. 37–46.
short: 'J. Bruns, A. Vogtländer, in: E. Born-Rauchecker, A. Vogtländer, K. Weber
(Eds.), Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende,
Kallmeyer, Hannover, 2020, pp. 37–46.'
date_created: 2023-06-20T18:48:54Z
date_updated: 2023-06-20T18:48:58Z
department:
- _id: '97'
- _id: '611'
editor:
- first_name: E.
full_name: Born-Rauchecker, E.
last_name: Born-Rauchecker
- first_name: A.
full_name: Vogtländer, A.
last_name: Vogtländer
- first_name: K.
full_name: Weber, K.
last_name: Weber
language:
- iso: ger
page: 37-46
place: Hannover
publication: Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende
publication_status: published
publisher: Kallmeyer
status: public
title: Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung
type: book_chapter
user_id: '49063'
year: '2020'
...
---
_id: '34816'
abstract:
- lang: eng
text: ZusammenfassungFrühe mathematische Bildung
findet in der Kindertagesstätte insbesondere in spontanen Alltagssituationen statt.
Damit diese Alltagssituationen zu natürlichen Lernsituationen für die Kinder werden,
müssen (angehende) frühpädagogische Fachkräfte zunächst das mathematische Potenzial
in diesen Situationen erkennen. Diese Fähigkeit zur situativen Beobachtung
und Wahrnehmung ist bisher unzureichend erforscht, was unter anderem
auf begrenzte Methoden zur standardisierten Erfassung dieses Konstrukts zurückzuführen
ist. Um diesem Bedarf zu begegnen, wurde das videobasierte Testinstrument Vimas_num
zur Erfassung der Fähigkeit zur situativen Beobachtung und Wahrnehmung angehender
frühpädagogischer Fachpersonen im Bereich Mengen und Zahlen entwickelt. Auf der
Grundlage von drei aufeinander aufbauenden Studien wird die Validität verschiedener
Aspekte der Testwertinterpretation untersucht. Die Ergebnisse geben Hinweise auf
die Validität der Testwertinterpretation in Bezug auf den Testinhalt, die interne
Struktur des Tests und die Zusammenhänge mit theoretisch verbundenen Konstrukten.
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Carolin
full_name: Strahl, Carolin
last_name: Strahl
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
citation:
ama: Bruns J, Strahl C, Gasteiger H. Situative Beobachtung und Wahrnehmung angehender
frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung
eines Testinstruments. Unterrichtswissenschaft. 2020;49(3):345-371. doi:10.1007/s42010-020-00091-7
apa: Bruns, J., Strahl, C., & Gasteiger, H. (2020). Situative Beobachtung und
Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik –
Entwicklung und Validierung eines Testinstruments. Unterrichtswissenschaft,
49(3), 345–371. https://doi.org/10.1007/s42010-020-00091-7
bibtex: '@article{Bruns_Strahl_Gasteiger_2020, title={Situative Beobachtung und
Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik –
Entwicklung und Validierung eines Testinstruments}, volume={49}, DOI={10.1007/s42010-020-00091-7},
number={3}, journal={Unterrichtswissenschaft}, publisher={Springer Science and
Business Media LLC}, author={Bruns, Julia and Strahl, Carolin and Gasteiger, Hedwig},
year={2020}, pages={345–371} }'
chicago: 'Bruns, Julia, Carolin Strahl, and Hedwig Gasteiger. “Situative Beobachtung
und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik
– Entwicklung und Validierung eines Testinstruments.” Unterrichtswissenschaft
49, no. 3 (2020): 345–71. https://doi.org/10.1007/s42010-020-00091-7.'
ieee: 'J. Bruns, C. Strahl, and H. Gasteiger, “Situative Beobachtung und Wahrnehmung
angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung
und Validierung eines Testinstruments,” Unterrichtswissenschaft, vol. 49,
no. 3, pp. 345–371, 2020, doi: 10.1007/s42010-020-00091-7.'
mla: Bruns, Julia, et al. “Situative Beobachtung und Wahrnehmung angehender frühpädagogischer
Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments.”
Unterrichtswissenschaft, vol. 49, no. 3, Springer Science and Business
Media LLC, 2020, pp. 345–71, doi:10.1007/s42010-020-00091-7.
short: J. Bruns, C. Strahl, H. Gasteiger, Unterrichtswissenschaft 49 (2020) 345–371.
date_created: 2022-12-22T09:18:04Z
date_updated: 2023-06-20T19:04:46Z
department:
- _id: '611'
- _id: '97'
doi: 10.1007/s42010-020-00091-7
intvolume: ' 49'
issue: '3'
keyword:
- Education
language:
- iso: ger
page: 345-371
publication: Unterrichtswissenschaft
publication_identifier:
issn:
- 0340-4099
- 2520-873X
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen
im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments
type: journal_article
user_id: '49063'
volume: 49
year: '2020'
...
---
_id: '36546'
author:
- first_name: Lena
full_name: Meyer, Lena
last_name: Meyer
- first_name: Laura
full_name: Tabeling, Laura
last_name: Tabeling
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
citation:
ama: 'Meyer L, Tabeling L, Gasteiger H, Bruns J. Interaktionen in mathematischen
Spielsituationen in Kindertagesstätte und Familie. In: Siller H-S, Weigel W, Wörler
J, eds. Beiträge zum Mathematikunterricht 2020. WTM-Verlag; 2020:1253-1256.'
apa: Meyer, L., Tabeling, L., Gasteiger, H., & Bruns, J. (2020). Interaktionen
in mathematischen Spielsituationen in Kindertagesstätte und Familie. In H.-S.
Siller, W. Weigel, & J. Wörler (Eds.), Beiträge zum Mathematikunterricht
2020 (pp. 1253–1256). WTM-Verlag.
bibtex: '@inproceedings{Meyer_Tabeling_Gasteiger_Bruns_2020, place={Münster}, title={Interaktionen
in mathematischen Spielsituationen in Kindertagesstätte und Familie}, booktitle={Beiträge
zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Meyer, Lena and
Tabeling, Laura and Gasteiger, Hedwig and Bruns, Julia}, editor={Siller, Hans-Stefan
and Weigel, Wolfgang and Wörler, Jan}, year={2020}, pages={1253–1256} }'
chicago: 'Meyer, Lena, Laura Tabeling, Hedwig Gasteiger, and Julia Bruns. “Interaktionen
in mathematischen Spielsituationen in Kindertagesstätte und Familie.” In Beiträge
zum Mathematikunterricht 2020, edited by Hans-Stefan Siller, Wolfgang Weigel,
and Jan Wörler, 1253–56. Münster: WTM-Verlag, 2020.'
ieee: L. Meyer, L. Tabeling, H. Gasteiger, and J. Bruns, “Interaktionen in mathematischen
Spielsituationen in Kindertagesstätte und Familie,” in Beiträge zum Mathematikunterricht
2020, Würzburg, 2020, pp. 1253–1256.
mla: Meyer, Lena, et al. “Interaktionen in mathematischen Spielsituationen in Kindertagesstätte
und Familie.” Beiträge zum Mathematikunterricht 2020, edited by Hans-Stefan
Siller et al., WTM-Verlag, 2020, pp. 1253–56.
short: 'L. Meyer, L. Tabeling, H. Gasteiger, J. Bruns, in: H.-S. Siller, W. Weigel,
J. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020, WTM-Verlag, Münster,
2020, pp. 1253–1256.'
conference:
location: Würzburg
name: 54. Jahrestagung der Gesellschaft für Didaktik der Mathematik
date_created: 2023-01-13T09:26:42Z
date_updated: 2023-06-20T19:06:16Z
department:
- _id: '611'
- _id: '97'
editor:
- first_name: Hans-Stefan
full_name: Siller, Hans-Stefan
last_name: Siller
- first_name: Wolfgang
full_name: Weigel, Wolfgang
last_name: Weigel
- first_name: Jan
full_name: Wörler, Jan
last_name: Wörler
language:
- iso: ger
main_file_link:
- open_access: '1'
oa: '1'
page: 1253-1256
place: Münster
publication: Beiträge zum Mathematikunterricht 2020
publication_status: published
publisher: WTM-Verlag
related_material:
link:
- relation: confirmation
url: https://eldorado.tu-dortmund.de/bitstream/2003/39567/1/BzMu2020_MEYER-id135.pdf
status: public
title: Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie
type: conference
user_id: '49063'
year: '2020'
...
---
_id: '21529'
abstract:
- lang: eng
text: 'ZusammenfassungDie Implementation früher
mathematischer Bildung in Kindertagesstätten kann durch fachdidaktische Fortbildungen
für frühpädagogische Fachkräfte unterstützt werden. Um Fachkräfte in der Breite
zu erreichen, erscheint ein scaling up Ansatz geeignet, bei dem aufbauend auf
das Fortbildungskonzept EmMa – Erzieherinnen und Erzieher machen
Mathematik Multiplikatorinnen und Multiplikatoren qualifiziert werden.
Dabei ergibt sich die Herausforderung, dass Fortbildende im Elementarbereich kaum
mathematisches und mathematikdidaktisches Wissen mitbringen. Der Kontext dieser
Studie ist der scaling up Prozess der Fortbildung EmMa
unter diesen Umständen. Das Erkenntnisinteresse liegt in der Beschreibung und
Bewertung der Adaptionshandlungen der Multiplikatorinnen und Multiplikatoren.
Für die Bewertung der Adaptionen werden zwei Kriterien herangezogen: (1) das Kriterium
der Präzision, das die Vollständigkeit und Klarheit der Inhalte umfasst und (2) das
Kriterium der fachlichen Korrektheit, das durch das Ausbleiben fachbezogener Fehler
beschrieben wird. Analysiert werden dabei die theoretischen, fachbezogenen Phasen
der von Multiplikatorinnen und Multiplikatoren durchgeführten Fortbildung zur
frühen mathematischen Bildung, da davon ausgegangen wird, dass insbesondere diese
theoretischen Inhalte für diese Gruppe von Multiplikatorinnen und Multiplikatoren
eine Herausforderung darstellen. Zur Untersuchung wurde eine videogestützte, qualitative
Feldstudie mit N = 8 Fällen durchgeführt. Mit Hilfe
der qualitativen Inhaltsanalyse wurden die Adaptionshandlungen der Multiplikatorinnen
und Multiplikatoren charakterisiert und hinsichtlich ihrer Präzision und der fachlichen
Fehler in diesen Adaptionen analysiert. Dabei zeigte sich, dass der eigenständige
Umgang mit den mathematischen und mathematikdidaktischen Inhalten des Fortbildungskonzepts
EmMa trotz intensiver Unterstützung anspruchsvoll und
bei vielen Multiplikatorinnen und Multiplikatoren mit fachbezogenen Fehlern verbunden
ist. Implikationen dieser Ergebnisse für die weitere Forschung werden diskutiert.'
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Theresa
full_name: Schopferer, Theresa
last_name: Schopferer
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
citation:
ama: Bruns J, Schopferer T, Gasteiger H. Adaptionshandlungen von Multiplikatorinnen
und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung
aus fachbezogener Perspektive. Journal für Mathematik-Didaktik. 2020;42(1):243-271.
doi:10.1007/s13138-020-00175-y
apa: Bruns, J., Schopferer, T., & Gasteiger, H. (2020). Adaptionshandlungen
von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung –
Beschreibung und Bewertung aus fachbezogener Perspektive. Journal für Mathematik-Didaktik,
42(1), 243–271. https://doi.org/10.1007/s13138-020-00175-y
bibtex: '@article{Bruns_Schopferer_Gasteiger_2020, title={Adaptionshandlungen von
Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung
und Bewertung aus fachbezogener Perspektive}, volume={42}, DOI={10.1007/s13138-020-00175-y},
number={1}, journal={Journal für Mathematik-Didaktik}, author={Bruns, Julia and
Schopferer, Theresa and Gasteiger, Hedwig}, year={2020}, pages={243–271} }'
chicago: 'Bruns, Julia, Theresa Schopferer, and Hedwig Gasteiger. “Adaptionshandlungen
von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung –
Beschreibung und Bewertung aus fachbezogener Perspektive.” Journal für Mathematik-Didaktik
42, no. 1 (2020): 243–71. https://doi.org/10.1007/s13138-020-00175-y.'
ieee: 'J. Bruns, T. Schopferer, and H. Gasteiger, “Adaptionshandlungen von Multiplikatorinnen
und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung
aus fachbezogener Perspektive,” Journal für Mathematik-Didaktik, vol. 42,
no. 1, pp. 243–271, 2020, doi: 10.1007/s13138-020-00175-y.'
mla: Bruns, Julia, et al. “Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren
zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener
Perspektive.” Journal für Mathematik-Didaktik, vol. 42, no. 1, 2020, pp.
243–71, doi:10.1007/s13138-020-00175-y.
short: J. Bruns, T. Schopferer, H. Gasteiger, Journal für Mathematik-Didaktik 42
(2020) 243–271.
date_created: 2021-03-17T15:19:29Z
date_updated: 2023-06-20T19:12:42Z
department:
- _id: '97'
- _id: '611'
doi: 10.1007/s13138-020-00175-y
intvolume: ' 42'
issue: '1'
language:
- iso: ger
page: 243-271
publication: Journal für Mathematik-Didaktik
publication_identifier:
issn:
- 0173-5322
- 1869-2699
publication_status: published
quality_controlled: '1'
status: public
title: Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen
Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive
type: journal_article
user_id: '49063'
volume: 42
year: '2020'
...
---
_id: '21530'
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Martin
full_name: Carlsen, Martin
last_name: Carlsen
- first_name: Lars
full_name: Eichen, Lars
last_name: Eichen
- first_name: Ingvald
full_name: Erfjord, Ingvald
last_name: Erfjord
- first_name: Per Sigurd
full_name: Hundeland, Per Sigurd
last_name: Hundeland
citation:
ama: 'Bruns J, Carlsen M, Eichen L, Erfjord I, Hundeland PS. Situational Perception
in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and Norway.
In: Mathematics Education in the Early Years. Springer; 2020:317–332. doi:10.1007/978-3-030-34776-5_19'
apa: Bruns, J., Carlsen, M., Eichen, L., Erfjord, I., & Hundeland, P. S. (2020).
Situational Perception in Mathematics (SPiM)—Results of a Cross-Country Study
in Austria and Norway. In Mathematics Education in the Early Years (pp.
317–332). Springer. https://doi.org/10.1007/978-3-030-34776-5_19
bibtex: '@inbook{Bruns_Carlsen_Eichen_Erfjord_Hundeland_2020, place={Cham}, title={Situational
Perception in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and
Norway}, DOI={10.1007/978-3-030-34776-5_19},
booktitle={Mathematics Education in the Early Years}, publisher={Springer}, author={Bruns,
Julia and Carlsen, Martin and Eichen, Lars and Erfjord, Ingvald and Hundeland,
Per Sigurd}, year={2020}, pages={317–332} }'
chicago: 'Bruns, Julia, Martin Carlsen, Lars Eichen, Ingvald Erfjord, and Per Sigurd
Hundeland. “Situational Perception in Mathematics (SPiM)—Results of a Cross-Country
Study in Austria and Norway.” In Mathematics Education in the Early Years,
317–332. Cham: Springer, 2020. https://doi.org/10.1007/978-3-030-34776-5_19.'
ieee: 'J. Bruns, M. Carlsen, L. Eichen, I. Erfjord, and P. S. Hundeland, “Situational
Perception in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and
Norway,” in Mathematics Education in the Early Years, Cham: Springer, 2020,
pp. 317–332.'
mla: Bruns, Julia, et al. “Situational Perception in Mathematics (SPiM)—Results
of a Cross-Country Study in Austria and Norway.” Mathematics Education in the
Early Years, Springer, 2020, pp. 317–332, doi:10.1007/978-3-030-34776-5_19.
short: 'J. Bruns, M. Carlsen, L. Eichen, I. Erfjord, P.S. Hundeland, in: Mathematics
Education in the Early Years, Springer, Cham, 2020, pp. 317–332.'
date_created: 2021-03-17T15:19:40Z
date_updated: 2023-06-20T19:11:15Z
department:
- _id: '97'
- _id: '611'
doi: 10.1007/978-3-030-34776-5_19
language:
- iso: eng
page: 317–332
place: Cham
publication: Mathematics Education in the Early Years
publication_identifier:
isbn:
- '9783030347758'
- '9783030347765'
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Situational Perception in Mathematics (SPiM)—Results of a Cross-Country Study
in Austria and Norway
type: book_chapter
user_id: '49063'
year: '2020'
...
---
_id: '36539'
author:
- first_name: Julia
full_name: Bruns, Julia
last_name: Bruns
citation:
ama: 'Bruns J. Mathematisches Fachwissen von frühpädagogischen Fachpersonen im Spannungsfeld
zwischen Disziplin- und Praxis. In: Siller H-S, Weigel W, Wörler J, eds. Beiträge
zum Mathematikunterricht 2020. WTM-Verlag; 2020:1245-1248. doi:10.37626/GA9783959871402.0'
apa: Bruns, J. (2020). Mathematisches Fachwissen von frühpädagogischen Fachpersonen
im Spannungsfeld zwischen Disziplin- und Praxis. In H.-S. Siller, W. Weigel, &
J. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 1245–1248).
WTM-Verlag. https://doi.org/10.37626/GA9783959871402.0
bibtex: '@inproceedings{Bruns_2020, place={Münster}, title={Mathematisches Fachwissen
von frühpädagogischen Fachpersonen im Spannungsfeld zwischen Disziplin- und Praxis},
DOI={10.37626/GA9783959871402.0},
booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Bruns,
Julia}, editor={Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan}, year={2020},
pages={1245–1248} }'
chicago: 'Bruns, Julia. “Mathematisches Fachwissen von frühpädagogischen Fachpersonen
im Spannungsfeld zwischen Disziplin- und Praxis.” In Beiträge zum Mathematikunterricht
2020, edited by Hans-Stefan Siller, Wolfgang Weigel, and Jan Wörler, 1245–48.
Münster: WTM-Verlag, 2020. https://doi.org/10.37626/GA9783959871402.0.'
ieee: 'J. Bruns, “Mathematisches Fachwissen von frühpädagogischen Fachpersonen im
Spannungsfeld zwischen Disziplin- und Praxis,” in Beiträge zum Mathematikunterricht
2020, Würzburg, 2020, pp. 1245–1248, doi: 10.37626/GA9783959871402.0.'
mla: Bruns, Julia. “Mathematisches Fachwissen von frühpädagogischen Fachpersonen
im Spannungsfeld zwischen Disziplin- und Praxis.” Beiträge zum Mathematikunterricht
2020, edited by Hans-Stefan Siller et al., WTM-Verlag, 2020, pp. 1245–48,
doi:10.37626/GA9783959871402.0.
short: 'J. Bruns, in: H.-S. Siller, W. Weigel, J. Wörler (Eds.), Beiträge zum Mathematikunterricht
2020, WTM-Verlag, Münster, 2020, pp. 1245–1248.'
conference:
location: Würzburg
name: 54. Jahrestagung der Gesellschaft für Didaktik der Mathematik
date_created: 2023-01-13T09:13:46Z
date_updated: 2023-06-20T19:14:31Z
department:
- _id: '611'
doi: 10.37626/GA9783959871402.0
editor:
- first_name: Hans-Stefan
full_name: Siller, Hans-Stefan
last_name: Siller
- first_name: Wolfgang
full_name: Weigel, Wolfgang
last_name: Weigel
- first_name: Jan
full_name: Wörler, Jan
last_name: Wörler
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://eldorado.tu-dortmund.de/bitstream/2003/39363/1/BzMu2020_BRUNS-id189.pdf
oa: '1'
page: 1245-1248
place: Münster
publication: Beiträge zum Mathematikunterricht 2020
publication_status: published
publisher: WTM-Verlag
status: public
title: Mathematisches Fachwissen von frühpädagogischen Fachpersonen im Spannungsfeld
zwischen Disziplin- und Praxis
type: conference
user_id: '49063'
year: '2020'
...
---
_id: '45330'
author:
- first_name: Johanna
full_name: Schönherr, Johanna
id: '99409'
last_name: Schönherr
- first_name: J.
full_name: Blomberg, J.
last_name: Blomberg
- first_name: S.
full_name: Schukajlow, S.
last_name: Schukajlow
- first_name: J.
full_name: Rellensmann, J.
last_name: Rellensmann
citation:
ama: 'Schönherr J, Blomberg J, Schukajlow S, Rellensmann J. “Why don’t you make
a drawing?" Motivation and strategy use in mathematical modelling. In: Inprasitha
M, Changsri N, Boonsena N, eds. Proceedings of the 44th Conference of the International
Group for the Psychology of Mathematics Education: PME. ; 2020:46–54.'
apa: 'Schönherr, J., Blomberg, J., Schukajlow, S., & Rellensmann, J. (2020).
“Why don’t you make a drawing?" Motivation and strategy use in mathematical modelling.
In M. Inprasitha, N. Changsri, & N. Boonsena (Eds.), Proceedings of the
44th Conference of the International Group for the Psychology of Mathematics Education:
PME (pp. 46–54).'
bibtex: '@inproceedings{Schönherr_Blomberg_Schukajlow_Rellensmann_2020, title={“Why
don’t you make a drawing?" Motivation and strategy use in mathematical modelling},
booktitle={Proceedings of the 44th Conference of the International Group for the
Psychology of Mathematics Education: PME}, author={Schönherr, Johanna and Blomberg,
J. and Schukajlow, S. and Rellensmann, J.}, editor={Inprasitha, M. and Changsri,
N. and Boonsena, N.}, year={2020}, pages={46–54} }'
chicago: 'Schönherr, Johanna, J. Blomberg, S. Schukajlow, and J. Rellensmann. ““Why
Don’t You Make a Drawing?" Motivation and Strategy Use in Mathematical Modelling.”
In Proceedings of the 44th Conference of the International Group for the Psychology
of Mathematics Education: PME, edited by M. Inprasitha, N. Changsri, and N.
Boonsena, 46–54, 2020.'
ieee: 'J. Schönherr, J. Blomberg, S. Schukajlow, and J. Rellensmann, ““Why don’t
you make a drawing?" Motivation and strategy use in mathematical modelling,” in
Proceedings of the 44th Conference of the International Group for the Psychology
of Mathematics Education: PME, 2020, pp. 46–54.'
mla: 'Schönherr, Johanna, et al. ““Why Don’t You Make a Drawing?" Motivation and
Strategy Use in Mathematical Modelling.” Proceedings of the 44th Conference
of the International Group for the Psychology of Mathematics Education: PME,
edited by M. Inprasitha et al., 2020, pp. 46–54.'
short: 'J. Schönherr, J. Blomberg, S. Schukajlow, J. Rellensmann, in: M. Inprasitha,
N. Changsri, N. Boonsena (Eds.), Proceedings of the 44th Conference of the International
Group for the Psychology of Mathematics Education: PME, 2020, pp. 46–54.'
date_created: 2023-05-29T17:14:34Z
date_updated: 2023-06-20T19:29:15Z
department:
- _id: '97'
editor:
- first_name: M.
full_name: Inprasitha, M.
last_name: Inprasitha
- first_name: N.
full_name: Changsri, N.
last_name: Changsri
- first_name: N.
full_name: Boonsena, N.
last_name: Boonsena
extern: '1'
language:
- iso: eng
page: 46–54
publication: 'Proceedings of the 44th Conference of the International Group for the
Psychology of Mathematics Education: PME'
publication_status: published
status: public
title: “Why don’t you make a drawing?" Motivation and strategy use in mathematical
modelling
type: conference
user_id: '49063'
year: '2020'
...
---
_id: '45338'
author:
- first_name: Johanna
full_name: Schönherr, Johanna
id: '99409'
last_name: Schönherr
- first_name: S.
full_name: Schukajlow, S.
last_name: Schukajlow
- first_name: C.
full_name: Leopold, C.
last_name: Leopold
citation:
ama: Schönherr J, Schukajlow S, Leopold C. Measuring and investigating strategic
knowledge about drawing to solve geometry modelling problems. ZDM – Mathematics
Education. 2020;52(1):97–110. doi:10.1007/s11858-019-01085-1
apa: Schönherr, J., Schukajlow, S., & Leopold, C. (2020). Measuring and investigating
strategic knowledge about drawing to solve geometry modelling problems. ZDM
– Mathematics Education, 52(1), 97–110. https://doi.org/10.1007/s11858-019-01085-1
bibtex: '@article{Schönherr_Schukajlow_Leopold_2020, title={Measuring and investigating
strategic knowledge about drawing to solve geometry modelling problems}, volume={52},
DOI={10.1007/s11858-019-01085-1},
number={1}, journal={ZDM – Mathematics Education}, author={Schönherr, Johanna
and Schukajlow, S. and Leopold, C.}, year={2020}, pages={97–110} }'
chicago: 'Schönherr, Johanna, S. Schukajlow, and C. Leopold. “Measuring and Investigating
Strategic Knowledge about Drawing to Solve Geometry Modelling Problems.” ZDM
– Mathematics Education 52, no. 1 (2020): 97–110. https://doi.org/10.1007/s11858-019-01085-1.'
ieee: 'J. Schönherr, S. Schukajlow, and C. Leopold, “Measuring and investigating
strategic knowledge about drawing to solve geometry modelling problems,” ZDM
– Mathematics Education, vol. 52, no. 1, pp. 97–110, 2020, doi: 10.1007/s11858-019-01085-1.'
mla: Schönherr, Johanna, et al. “Measuring and Investigating Strategic Knowledge
about Drawing to Solve Geometry Modelling Problems.” ZDM – Mathematics Education,
vol. 52, no. 1, 2020, pp. 97–110, doi:10.1007/s11858-019-01085-1.
short: J. Schönherr, S. Schukajlow, C. Leopold, ZDM – Mathematics Education 52 (2020)
97–110.
date_created: 2023-05-29T17:32:02Z
date_updated: 2023-06-20T19:29:35Z
department:
- _id: '97'
doi: 10.1007/s11858-019-01085-1
extern: '1'
intvolume: ' 52'
issue: '1'
language:
- iso: eng
page: 97–110
publication: ZDM – Mathematics Education
publication_status: published
status: public
title: Measuring and investigating strategic knowledge about drawing to solve geometry
modelling problems
type: journal_article
user_id: '49063'
volume: 52
year: '2020'
...
---
_id: '34670'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. Global generalized solutions to a forager–exploiter model with superlinear
degradation and their eventual regularity properties. Mathematical Models and
Methods in Applied Sciences. 2020;30(06):1075-1117. doi:10.1142/s0218202520400072
apa: Black, T. (2020). Global generalized solutions to a forager–exploiter model
with superlinear degradation and their eventual regularity properties. Mathematical
Models and Methods in Applied Sciences, 30(06), 1075–1117. https://doi.org/10.1142/s0218202520400072
bibtex: '@article{Black_2020, title={Global generalized solutions to a forager–exploiter
model with superlinear degradation and their eventual regularity properties},
volume={30}, DOI={10.1142/s0218202520400072},
number={06}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
Scientific Pub Co Pte Lt}, author={Black, Tobias}, year={2020}, pages={1075–1117}
}'
chicago: 'Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model
with Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical
Models and Methods in Applied Sciences 30, no. 06 (2020): 1075–1117. https://doi.org/10.1142/s0218202520400072.'
ieee: 'T. Black, “Global generalized solutions to a forager–exploiter model with
superlinear degradation and their eventual regularity properties,” Mathematical
Models and Methods in Applied Sciences, vol. 30, no. 06, pp. 1075–1117, 2020,
doi: 10.1142/s0218202520400072.'
mla: Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with
Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical
Models and Methods in Applied Sciences, vol. 30, no. 06, World Scientific
Pub Co Pte Lt, 2020, pp. 1075–117, doi:10.1142/s0218202520400072.
short: T. Black, Mathematical Models and Methods in Applied Sciences 30 (2020) 1075–1117.
date_created: 2022-12-21T09:48:11Z
date_updated: 2023-07-10T11:39:59Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1142/s0218202520400072
intvolume: ' 30'
issue: '06'
keyword:
- Applied Mathematics
- Modeling and Simulation
language:
- iso: eng
page: 1075-1117
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
issn:
- 0218-2025
- 1793-6314
publication_status: published
publisher: World Scientific Pub Co Pte Lt
status: public
title: Global generalized solutions to a forager–exploiter model with superlinear
degradation and their eventual regularity properties
type: journal_article
user_id: '23686'
volume: 30
year: '2020'
...
---
_id: '31376'
article_type: original
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: 'Hoffmann M. Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang
zur hyperbolischen Geometrie. Der Mathematikunterricht. 2020;66 (6):36–47.'
apa: 'Hoffmann, M. (2020). Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver
Zugang zur hyperbolischen Geometrie. Der Mathematikunterricht, 66 (6),
36–47.'
bibtex: '@article{Hoffmann_2020, title={Zirkel und Lineal ohne Parallelenaxiom:
Ein konstruktiver Zugang zur hyperbolischen Geometrie.}, volume={66 (6)}, journal={Der
Mathematikunterricht}, author={Hoffmann, Max}, year={2020}, pages={36–47} }'
chicago: 'Hoffmann, Max. “Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver
Zugang zur hyperbolischen Geometrie.” Der Mathematikunterricht 66 (6) (2020):
36–47.'
ieee: 'M. Hoffmann, “Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang
zur hyperbolischen Geometrie.,” Der Mathematikunterricht, vol. 66 (6),
pp. 36–47, 2020.'
mla: 'Hoffmann, Max. “Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver
Zugang zur hyperbolischen Geometrie.” Der Mathematikunterricht, vol. 66
(6), 2020, pp. 36–47.'
short: M. Hoffmann, Der Mathematikunterricht 66 (6) (2020) 36–47.
date_created: 2022-05-22T14:56:06Z
date_updated: 2023-07-19T13:59:16Z
department:
- _id: '97'
language:
- iso: ger
page: 36–47
publication: Der Mathematikunterricht
publication_status: published
quality_controlled: '1'
status: public
title: 'Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang zur hyperbolischen
Geometrie.'
type: journal_article
user_id: '32202'
volume: 66 (6)
year: '2020'
...
---
_id: '46159'
author:
- first_name: Timo
full_name: Leuders, Timo
last_name: Leuders
- first_name: Lena
full_name: Wessel, Lena
id: '85190'
last_name: Wessel
citation:
ama: Leuders T, Wessel L. Differenziertes Üben gestalten. Zwischen Umsetzung in
der Praxis und Fundierung in der Forschung. Pädagogik 2/2020. 2020;(2):26-30.
apa: Leuders, T., & Wessel, L. (2020). Differenziertes Üben gestalten. Zwischen
Umsetzung in der Praxis und Fundierung in der Forschung. Pädagogik 2/2020,
2, 26–30.
bibtex: '@article{Leuders_Wessel_2020, title={Differenziertes Üben gestalten. Zwischen
Umsetzung in der Praxis und Fundierung in der Forschung.}, number={2}, journal={Pädagogik
2/2020}, publisher={Beltz Verlagsgruppe}, author={Leuders, Timo and Wessel, Lena},
year={2020}, pages={26–30} }'
chicago: 'Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen
Umsetzung in Der Praxis Und Fundierung in Der Forschung.” Pädagogik 2/2020,
no. 2 (2020): 26–30.'
ieee: T. Leuders and L. Wessel, “Differenziertes Üben gestalten. Zwischen Umsetzung
in der Praxis und Fundierung in der Forschung.,” Pädagogik 2/2020, no.
2, pp. 26–30, 2020.
mla: Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen Umsetzung
in Der Praxis Und Fundierung in Der Forschung.” Pädagogik 2/2020, no. 2,
Beltz Verlagsgruppe, 2020, pp. 26–30.
short: T. Leuders, L. Wessel, Pädagogik 2/2020 (2020) 26–30.
date_created: 2023-07-26T10:26:53Z
date_updated: 2023-07-26T10:29:13Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '643'
issue: '2'
language:
- iso: eng
page: 26-30
publication: Pädagogik 2/2020
publication_identifier:
issn:
- 0933-422X
publisher: Beltz Verlagsgruppe
status: public
title: Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung
in der Forschung.
type: journal_article
user_id: '37888'
year: '2020'
...
---
_id: '46158'
author:
- first_name: Lena
full_name: Wessel, Lena
id: '85190'
last_name: Wessel
- first_name: T.
full_name: Kuzu, T.
last_name: Kuzu
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
citation:
ama: 'Wessel L, Kuzu T, Prediger S. Sprachbildender Vorstellungsaufbau für verschiedene
mathematische Konzepte: Brüche in Klasse 6. Sprachbildender Mathematikunterricht
in der Sekundarstufe - ein forschungsbasiertes Praxisbuch. Published online
2020:148–151.'
apa: 'Wessel, L., Kuzu, T., & Prediger, S. (2020). Sprachbildender Vorstellungsaufbau
für verschiedene mathematische Konzepte: Brüche in Klasse 6. Sprachbildender
Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch,
148–151.'
bibtex: '@article{Wessel_Kuzu_Prediger_2020, title={Sprachbildender Vorstellungsaufbau
für verschiedene mathematische Konzepte: Brüche in Klasse 6}, journal={Sprachbildender
Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch},
author={Wessel, Lena and Kuzu, T. and Prediger, Susanne}, year={2020}, pages={148–151}
}'
chicago: 'Wessel, Lena, T. Kuzu, and Susanne Prediger. “Sprachbildender Vorstellungsaufbau
Für Verschiedene Mathematische Konzepte: Brüche in Klasse 6.” Sprachbildender
Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch,
2020, 148–151.'
ieee: 'L. Wessel, T. Kuzu, and S. Prediger, “Sprachbildender Vorstellungsaufbau
für verschiedene mathematische Konzepte: Brüche in Klasse 6,” Sprachbildender
Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch,
pp. 148–151, 2020.'
mla: 'Wessel, Lena, et al. “Sprachbildender Vorstellungsaufbau Für Verschiedene
Mathematische Konzepte: Brüche in Klasse 6.” Sprachbildender Mathematikunterricht
in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch, 2020, pp. 148–151.'
short: L. Wessel, T. Kuzu, S. Prediger, Sprachbildender Mathematikunterricht in
Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch (2020) 148–151.
date_created: 2023-07-26T10:24:10Z
date_updated: 2023-07-26T10:25:23Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '643'
language:
- iso: eng
page: 148–151
publication: Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes
Praxisbuch
status: public
title: 'Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte:
Brüche in Klasse 6'
type: journal_article
user_id: '37888'
year: '2020'
...
---
_id: '48406'
author:
- first_name: Lena
full_name: Wessel, Lena
id: '85190'
last_name: Wessel
- first_name: S.
full_name: Prediger, S.
last_name: Prediger
- first_name: A.
full_name: Stein, A.
last_name: Stein
- first_name: M.
full_name: Wijers, M.
last_name: Wijers
- first_name: V.
full_name: Jonker, V.
last_name: Jonker
citation:
ama: Wessel L, Prediger S, Stein A, Wijers M, Jonker V. Language for Mathematics
in Vocational Contexts. Handbook for Teachers and Facilitators. DZLM; 2020.
apa: Wessel, L., Prediger, S., Stein, A., Wijers, M., & Jonker, V. (2020). Language
for Mathematics in Vocational Contexts. Handbook for teachers and facilitators.
DZLM.
bibtex: '@book{Wessel_Prediger_Stein_Wijers_Jonker_2020, place={Dortmund/Arnsberg},
title={Language for Mathematics in Vocational Contexts. Handbook for teachers
and facilitators}, publisher={DZLM}, author={Wessel, Lena and Prediger, S. and
Stein, A. and Wijers, M. and Jonker, V.}, year={2020} }'
chicago: 'Wessel, Lena, S. Prediger, A. Stein, M. Wijers, and V. Jonker. Language
for Mathematics in Vocational Contexts. Handbook for Teachers and Facilitators.
Dortmund/Arnsberg: DZLM, 2020.'
ieee: 'L. Wessel, S. Prediger, A. Stein, M. Wijers, and V. Jonker, Language for
Mathematics in Vocational Contexts. Handbook for teachers and facilitators.
Dortmund/Arnsberg: DZLM, 2020.'
mla: Wessel, Lena, et al. Language for Mathematics in Vocational Contexts. Handbook
for Teachers and Facilitators. DZLM, 2020.
short: L. Wessel, S. Prediger, A. Stein, M. Wijers, V. Jonker, Language for Mathematics
in Vocational Contexts. Handbook for Teachers and Facilitators, DZLM, Dortmund/Arnsberg,
2020.
date_created: 2023-10-24T07:17:54Z
date_updated: 2023-10-24T07:17:58Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '643'
language:
- iso: eng
main_file_link:
- url: www.lamavoc.nrw.de
place: Dortmund/Arnsberg
publisher: DZLM
status: public
title: Language for Mathematics in Vocational Contexts. Handbook for teachers and
facilitators
type: book
user_id: '37888'
year: '2020'
...
---
_id: '48405'
author:
- first_name: F.
full_name: Sprütten, F.
last_name: Sprütten
- first_name: Lena
full_name: Wessel, Lena
id: '85190'
last_name: Wessel
- first_name: K.
full_name: Zentgraf, K.
last_name: Zentgraf
- first_name: S.
full_name: Prediger, S.
last_name: Prediger
citation:
ama: 'Sprütten F, Wessel L, Zentgraf K, Prediger S. Fach- und sprachintegrierte
Ansätze für Neuzugewanderte. In: Prediger S, ed. Sprachbildender Mathematikunterricht
in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch. Cornelsen Skriptor;
2020:115-130.'
apa: Sprütten, F., Wessel, L., Zentgraf, K., & Prediger, S. (2020). Fach- und
sprachintegrierte Ansätze für Neuzugewanderte. In S. Prediger (Ed.), Sprachbildender
Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch
(pp. 115–130). Cornelsen Skriptor.
bibtex: '@inbook{Sprütten_Wessel_Zentgraf_Prediger_2020, place={Berlin}, title={Fach-
und sprachintegrierte Ansätze für Neuzugewanderte}, booktitle={Sprachbildender
Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch},
publisher={Cornelsen Skriptor}, author={Sprütten, F. and Wessel, Lena and Zentgraf,
K. and Prediger, S.}, editor={Prediger, S.}, year={2020}, pages={115–130} }'
chicago: 'Sprütten, F., Lena Wessel, K. Zentgraf, and S. Prediger. “Fach- und sprachintegrierte
Ansätze für Neuzugewanderte.” In Sprachbildender Mathematikunterricht in der
Sekundarstufe. Ein forschungsbasiertes Praxisbuch, edited by S. Prediger,
115–30. Berlin: Cornelsen Skriptor, 2020.'
ieee: 'F. Sprütten, L. Wessel, K. Zentgraf, and S. Prediger, “Fach- und sprachintegrierte
Ansätze für Neuzugewanderte,” in Sprachbildender Mathematikunterricht in der
Sekundarstufe. Ein forschungsbasiertes Praxisbuch, S. Prediger, Ed. Berlin:
Cornelsen Skriptor, 2020, pp. 115–130.'
mla: Sprütten, F., et al. “Fach- und sprachintegrierte Ansätze für Neuzugewanderte.”
Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes
Praxisbuch, edited by S. Prediger, Cornelsen Skriptor, 2020, pp. 115–30.
short: 'F. Sprütten, L. Wessel, K. Zentgraf, S. Prediger, in: S. Prediger (Ed.),
Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes
Praxisbuch, Cornelsen Skriptor, Berlin, 2020, pp. 115–130.'
date_created: 2023-10-24T07:13:15Z
date_updated: 2023-10-31T09:37:03Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '643'
editor:
- first_name: S.
full_name: Prediger, S.
last_name: Prediger
language:
- iso: other
page: 115-130
place: Berlin
publication: Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes
Praxisbuch
publisher: Cornelsen Skriptor
status: public
title: Fach- und sprachintegrierte Ansätze für Neuzugewanderte
type: book_chapter
user_id: '37888'
year: '2020'
...
---
_id: '45383'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
citation:
ama: 'Dröse J, Prediger S. Enhancing Fifth Graders’ Awareness of Syntactic Features
in Mathematical Word Problems: A Design Research Study on the Variation Principle.
Journal für Mathematik-Didaktik, 41(2). Published online 2020:399-422.
doi:doi.org/10.1007/s13138-019-00153-z'
apa: 'Dröse, J., & Prediger, S. (2020). Enhancing Fifth Graders’ Awareness of
Syntactic Features in Mathematical Word Problems: A Design Research Study on the
Variation Principle. Journal Für Mathematik-Didaktik, 41(2), 399–422. https://doi.org/doi.org/10.1007/s13138-019-00153-z'
bibtex: '@article{Dröse_Prediger_2020, title={Enhancing Fifth Graders’ Awareness
of Syntactic Features in Mathematical Word Problems: A Design Research Study on
the Variation Principle}, DOI={doi.org/10.1007/s13138-019-00153-z},
journal={Journal für Mathematik-Didaktik, 41(2)}, author={Dröse, Jennifer and
Prediger, Susanne}, year={2020}, pages={399–422} }'
chicago: 'Dröse, Jennifer, and Susanne Prediger. “Enhancing Fifth Graders’ Awareness
of Syntactic Features in Mathematical Word Problems: A Design Research Study on
the Variation Principle.” Journal Für Mathematik-Didaktik, 41(2), 2020,
399–422. https://doi.org/doi.org/10.1007/s13138-019-00153-z.'
ieee: 'J. Dröse and S. Prediger, “Enhancing Fifth Graders’ Awareness of Syntactic
Features in Mathematical Word Problems: A Design Research Study on the Variation
Principle,” Journal für Mathematik-Didaktik, 41(2), pp. 399–422, 2020,
doi: doi.org/10.1007/s13138-019-00153-z.'
mla: 'Dröse, Jennifer, and Susanne Prediger. “Enhancing Fifth Graders’ Awareness
of Syntactic Features in Mathematical Word Problems: A Design Research Study on
the Variation Principle.” Journal Für Mathematik-Didaktik, 41(2), 2020,
pp. 399–422, doi:doi.org/10.1007/s13138-019-00153-z.'
short: J. Dröse, S. Prediger, Journal Für Mathematik-Didaktik, 41(2) (2020) 399–422.
date_created: 2023-05-31T07:16:27Z
date_updated: 2023-11-02T08:06:54Z
department:
- _id: '98'
doi: doi.org/10.1007/s13138-019-00153-z
language:
- iso: eng
page: 399-422
publication: Journal für Mathematik-Didaktik, 41(2)
quality_controlled: '1'
status: public
title: 'Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word
Problems: A Design Research Study on the Variation Principle'
type: journal_article
user_id: '85820'
year: '2020'
...
---
_id: '29413'
author:
- first_name: K.
full_name: Flaßkamp, K.
last_name: Flaßkamp
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'S. '
full_name: 'Peitz, S. '
last_name: Peitz
citation:
ama: 'Flaßkamp K, Ober-Blöbaum S, Peitz S. Symmetry in optimal control: A multiobjective
model predictive control approach. In: Junge O, Schütze O, Froyland G, Ober-Blöbaum
S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation.
Springer International Publishing; 2020:209-237.'
apa: 'Flaßkamp, K., Ober-Blöbaum, S., & Peitz, S. (2020). Symmetry in optimal
control: A multiobjective model predictive control approach. In O. Junge, O. Schütze,
G. Froyland, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics,
Optimization and Computation (pp. 209–237). Springer International Publishing.'
bibtex: '@inbook{Flaßkamp_Ober-Blöbaum_Peitz_2020, place={Cham}, title={Symmetry
in optimal control: A multiobjective model predictive control approach}, booktitle={Advances
in Dynamics, Optimization and Computation}, publisher={Springer International
Publishing}, author={Flaßkamp, K. and Ober-Blöbaum, Sina and Peitz, S. }, editor={Junge,
Oliver and Schütze, Oliver and Froyland, Gary and Ober-Blöbaum, Sina and Padberg-Gehle,
Kathrin}, year={2020}, pages={209–237} }'
chicago: 'Flaßkamp, K., Sina Ober-Blöbaum, and S. Peitz. “Symmetry in Optimal Control:
A Multiobjective Model Predictive Control Approach.” In Advances in Dynamics,
Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary
Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 209–37. Cham: Springer
International Publishing, 2020.'
ieee: 'K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in optimal control:
A multiobjective model predictive control approach,” in Advances in Dynamics,
Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum,
and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp.
209–237.'
mla: 'Flaßkamp, K., et al. “Symmetry in Optimal Control: A Multiobjective Model
Predictive Control Approach.” Advances in Dynamics, Optimization and Computation,
edited by Oliver Junge et al., Springer International Publishing, 2020, pp. 209–37.'
short: 'K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland,
S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and
Computation, Springer International Publishing, Cham, 2020, pp. 209–237.'
date_created: 2022-01-18T12:58:18Z
date_updated: 2023-11-08T08:15:14Z
department:
- _id: '636'
editor:
- first_name: Oliver
full_name: Junge, Oliver
last_name: Junge
- first_name: Oliver
full_name: Schütze, Oliver
last_name: Schütze
- first_name: Gary
full_name: Froyland, Gary
last_name: Froyland
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
- first_name: Kathrin
full_name: Padberg-Gehle, Kathrin
last_name: Padberg-Gehle
language:
- iso: eng
page: 209-237
place: Cham
publication: Advances in Dynamics, Optimization and Computation
publisher: Springer International Publishing
status: public
title: 'Symmetry in optimal control: A multiobjective model predictive control approach'
type: book_chapter
user_id: '15694'
year: '2020'
...
---
_id: '31553'
author:
- first_name: Susanne
full_name: Seitz, Susanne
last_name: Seitz
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Yannik
full_name: Wilke, Yannik
last_name: Wilke
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
citation:
ama: Seitz S, Häsel-Weide U, Wilke Y, Wallner M. Expertise von Lehrpersonen für
inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.
K:ON Kölner Online-Journal für Lehrer*innenbildung. 2020;(2). doi:10.18716/ojs/kON/2020.2.03
apa: Seitz, S., Häsel-Weide, U., Wilke, Y., & Wallner, M. (2020). Expertise
von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte
zur Professionalisierungsforschung. K:ON Kölner Online-Journal für Lehrer*innenbildung,
2. https://doi.org/10.18716/ojs/kON/2020.2.03
bibtex: '@article{Seitz_Häsel-Weide_Wilke_Wallner_2020, title={Expertise von Lehrpersonen
für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.},
DOI={10.18716/ojs/kON/2020.2.03},
number={2}, journal={K:ON Kölner Online-Journal für Lehrer*innenbildung}, author={Seitz,
Susanne and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina}, year={2020}
}'
chicago: Seitz, Susanne, Uta Häsel-Weide, Yannik Wilke, and Melina Wallner. “Expertise
von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte
zur Professionalisierungsforschung.” K:ON Kölner Online-Journal für Lehrer*innenbildung,
no. 2 (2020). https://doi.org/10.18716/ojs/kON/2020.2.03.
ieee: 'S. Seitz, U. Häsel-Weide, Y. Wilke, and M. Wallner, “Expertise von Lehrpersonen
für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.,”
K:ON Kölner Online-Journal für Lehrer*innenbildung, no. 2, 2020, doi: 10.18716/ojs/kON/2020.2.03.'
mla: Seitz, Susanne, et al. “Expertise von Lehrpersonen für inklusiven Mathematikunterricht
der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.” K:ON
Kölner Online-Journal für Lehrer*innenbildung, no. 2, 2020, doi:10.18716/ojs/kON/2020.2.03.
short: S. Seitz, U. Häsel-Weide, Y. Wilke, M. Wallner, K:ON Kölner Online-Journal
für Lehrer*innenbildung (2020).
date_created: 2022-05-31T08:11:34Z
date_updated: 2023-11-24T16:50:38Z
department:
- _id: '98'
- _id: '543'
doi: 10.18716/ojs/kON/2020.2.03
issue: '2'
language:
- iso: ger
publication: K:ON Kölner Online-Journal für Lehrer*innenbildung
publication_status: published
status: public
title: Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe
- Ausgangspunkte zur Professionalisierungsforschung.
type: journal_article
user_id: '45445'
year: '2020'
...
---
_id: '45384'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
citation:
ama: 'Dröse J. Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren
Lehrkräfte? In: Siller H-S, Weigel W, Wöler JF, eds. Beiträge zum Mathematikunterricht
2020 . WTM; 2020:233-236.'
apa: Dröse, J. (2020). Verstehensgrundlagen diagnostizieren - Welche Wissenselemente
fokussieren Lehrkräfte? In H.-S. Siller, W. Weigel, & J. F. Wöler (Eds.),
Beiträge zum Mathematikunterricht 2020 (pp. 233–236). WTM.
bibtex: '@inproceedings{Dröse_2020, place={Münster}, title={Verstehensgrundlagen
diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?}, booktitle={Beiträge
zum Mathematikunterricht 2020 }, publisher={WTM}, author={Dröse, Jennifer}, editor={Siller,
H.-S. and Weigel, W. and Wöler, J. F.}, year={2020}, pages={233–236} }'
chicago: 'Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente
fokussieren Lehrkräfte?” In Beiträge zum Mathematikunterricht 2020 , edited
by H.-S. Siller, W. Weigel, and J. F. Wöler, 233–36. Münster: WTM, 2020.'
ieee: J. Dröse, “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren
Lehrkräfte?,” in Beiträge zum Mathematikunterricht 2020 , 2020, pp. 233–236.
mla: Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente
fokussieren Lehrkräfte?” Beiträge zum Mathematikunterricht 2020 , edited
by H.-S. Siller et al., WTM, 2020, pp. 233–36.
short: 'J. Dröse, in: H.-S. Siller, W. Weigel, J.F. Wöler (Eds.), Beiträge zum Mathematikunterricht
2020 , WTM, Münster, 2020, pp. 233–236.'
date_created: 2023-05-31T07:18:51Z
date_updated: 2023-11-02T08:09:21Z
department:
- _id: '98'
editor:
- first_name: H.-S.
full_name: Siller, H.-S.
last_name: Siller
- first_name: W.
full_name: Weigel, W.
last_name: Weigel
- first_name: J. F.
full_name: Wöler, J. F.
last_name: Wöler
language:
- iso: ger
page: 233-236
place: Münster
publication: 'Beiträge zum Mathematikunterricht 2020 '
publisher: WTM
status: public
title: Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?
type: conference
user_id: '85820'
year: '2020'
...
---
_id: '45386'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
- first_name: V.
full_name: Eisen, V.
last_name: Eisen
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
- first_name: M.
full_name: Altieri, M.
last_name: Altieri
- first_name: M.
full_name: Schellenbach, M.
last_name: Schellenbach
- first_name: R.
full_name: Menning, R.
last_name: Menning
citation:
ama: 'Dröse J, Eisen V, Prediger S, Altieri M, Schellenbach M, Menning R. Textaufgaben
lesen lernen – eine digital gestützte Einheit mit App . In: Mathematik lehren
223. ; 2020:38-40.'
apa: Dröse, J., Eisen, V., Prediger, S., Altieri, M., Schellenbach, M., & Menning,
R. (2020). Textaufgaben lesen lernen – eine digital gestützte Einheit mit App
. In Mathematik lehren 223 (pp. 38–40).
bibtex: '@inbook{Dröse_Eisen_Prediger_Altieri_Schellenbach_Menning_2020, title={Textaufgaben
lesen lernen – eine digital gestützte Einheit mit App }, booktitle={Mathematik
lehren 223}, author={Dröse, Jennifer and Eisen, V. and Prediger, Susanne and Altieri,
M. and Schellenbach, M. and Menning, R.}, year={2020}, pages={38–40} }'
chicago: Dröse, Jennifer, V. Eisen, Susanne Prediger, M. Altieri, M. Schellenbach,
and R. Menning. “Textaufgaben lesen lernen – eine digital gestützte Einheit mit
App .” In Mathematik lehren 223, 38–40, 2020.
ieee: J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, and R. Menning,
“Textaufgaben lesen lernen – eine digital gestützte Einheit mit App ,” in Mathematik
lehren 223, 2020, pp. 38–40.
mla: Dröse, Jennifer, et al. “Textaufgaben lesen lernen – eine digital gestützte
Einheit mit App .” Mathematik lehren 223, 2020, pp. 38–40.
short: 'J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, R. Menning,
in: Mathematik lehren 223, 2020, pp. 38–40.'
date_created: 2023-05-31T07:42:06Z
date_updated: 2023-11-02T08:09:54Z
department:
- _id: '98'
language:
- iso: ger
page: 38-40
publication: Mathematik lehren 223
status: public
title: 'Textaufgaben lesen lernen – eine digital gestützte Einheit mit App '
type: book_chapter
user_id: '85820'
year: '2020'
...
---
_id: '17994'
abstract:
- lang: eng
text: In this work we review the novel framework for the computation of finite dimensional
invariant sets of infinite dimensional dynamical systems developed in [6] and
[36]. By utilizing results on embedding techniques for infinite dimensional systems
we extend a classical subdivision scheme [8] as well as a continuation algorithm
[7] for the computation of attractors and invariant manifolds of finite dimensional
systems to the infinite dimensional case. We show how to implement this approach
for the analysis of delay differential equations and partial differential equations
and illustrate the feasibility of our implementation by computing the attractor
of the Mackey-Glass equation and the unstable manifold of the one-dimensional
Kuramoto-Sivashinsky equation.
author:
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
- first_name: Adrian
full_name: Ziessler, Adrian
last_name: Ziessler
citation:
ama: 'Gerlach R, Ziessler A. The Approximation of Invariant Sets in Infinite Dimensional
Dynamical Systems. In: Junge O, Schütze O, Ober-Blöbaum S, Padberg-Gehle K, eds.
Advances in Dynamics, Optimization and Computation. Vol 304. Studies in
Systems, Decision and Control. Springer International Publishing; 2020:66-85.
doi:10.1007/978-3-030-51264-4_3'
apa: Gerlach, R., & Ziessler, A. (2020). The Approximation of Invariant Sets
in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum,
& K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation
(Vol. 304, pp. 66–85). Springer International Publishing. https://doi.org/10.1007/978-3-030-51264-4_3
bibtex: '@inbook{Gerlach_Ziessler_2020, place={Cham}, series={Studies in Systems,
Decision and Control}, title={The Approximation of Invariant Sets in Infinite
Dimensional Dynamical Systems}, volume={304}, DOI={10.1007/978-3-030-51264-4_3},
booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer
International Publishing}, author={Gerlach, Raphael and Ziessler, Adrian}, editor={Junge,
Oliver and Schütze, Oliver and Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin},
year={2020}, pages={66–85}, collection={Studies in Systems, Decision and Control}
}'
chicago: 'Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant
Sets in Infinite Dimensional Dynamical Systems.” In Advances in Dynamics, Optimization
and Computation, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum,
and Kathrin Padberg-Gehle, 304:66–85. Studies in Systems, Decision and Control.
Cham: Springer International Publishing, 2020. https://doi.org/10.1007/978-3-030-51264-4_3.'
ieee: 'R. Gerlach and A. Ziessler, “The Approximation of Invariant Sets in Infinite
Dimensional Dynamical Systems,” in Advances in Dynamics, Optimization and Computation,
vol. 304, O. Junge, O. Schütze, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham:
Springer International Publishing, 2020, pp. 66–85.'
mla: Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets
in Infinite Dimensional Dynamical Systems.” Advances in Dynamics, Optimization
and Computation, edited by Oliver Junge et al., vol. 304, Springer International
Publishing, 2020, pp. 66–85, doi:10.1007/978-3-030-51264-4_3.
short: 'R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle
(Eds.), Advances in Dynamics, Optimization and Computation, Springer International
Publishing, Cham, 2020, pp. 66–85.'
date_created: 2020-08-14T15:02:22Z
date_updated: 2023-11-17T13:13:25Z
department:
- _id: '101'
doi: 10.1007/978-3-030-51264-4_3
editor:
- first_name: Oliver
full_name: Junge, Oliver
last_name: Junge
- first_name: Oliver
full_name: Schütze, Oliver
last_name: Schütze
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
- first_name: Kathrin
full_name: Padberg-Gehle, Kathrin
last_name: Padberg-Gehle
intvolume: ' 304'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-030-51264-4_3
page: 66-85
place: Cham
publication: Advances in Dynamics, Optimization and Computation
publication_identifier:
isbn:
- '9783030512637'
- '9783030512644'
issn:
- 2198-4182
- 2198-4190
publication_status: published
publisher: Springer International Publishing
series_title: Studies in Systems, Decision and Control
status: public
title: The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
type: book_chapter
user_id: '32655'
volume: 304
year: '2020'
...
---
_id: '16712'
abstract:
- lang: eng
text: We investigate self-adjoint matrices A∈Rn,n with respect to their equivariance
properties. We show in particular that a matrix is self-adjoint if and only if
it is equivariant with respect to the action of a group Γ2(A)⊂O(n) which is isomorphic
to ⊗nk=1Z2. If the self-adjoint matrix possesses multiple eigenvalues – this may,
for instance, be induced by symmetry properties of an underlying dynamical system
– then A is even equivariant with respect to the action of a group Γ(A)≃∏ki=1O(mi)
where m1,…,mk are the multiplicities of the eigenvalues λ1,…,λk of A. We discuss
implications of this result for equivariant bifurcation problems, and we briefly
address further applications for the Procrustes problem, graph symmetries and
Taylor expansions.
author:
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
citation:
ama: Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of
self-adjoint matrices. Dynamical Systems. 2020;35(2):197-215. doi:10.1080/14689367.2019.1661355
apa: Dellnitz, M., Gebken, B., Gerlach, R., & Klus, S. (2020). On the equivariance
properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215.
https://doi.org/10.1080/14689367.2019.1661355
bibtex: '@article{Dellnitz_Gebken_Gerlach_Klus_2020, title={On the equivariance
properties of self-adjoint matrices}, volume={35}, DOI={10.1080/14689367.2019.1661355},
number={2}, journal={Dynamical Systems}, author={Dellnitz, Michael and Gebken,
Bennet and Gerlach, Raphael and Klus, Stefan}, year={2020}, pages={197–215} }'
chicago: 'Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On
the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems
35, no. 2 (2020): 197–215. https://doi.org/10.1080/14689367.2019.1661355.'
ieee: 'M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties
of self-adjoint matrices,” Dynamical Systems, vol. 35, no. 2, pp. 197–215,
2020, doi: 10.1080/14689367.2019.1661355.'
mla: Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.”
Dynamical Systems, vol. 35, no. 2, 2020, pp. 197–215, doi:10.1080/14689367.2019.1661355.
short: M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020)
197–215.
date_created: 2020-04-16T14:07:25Z
date_updated: 2023-11-17T13:12:59Z
department:
- _id: '101'
doi: 10.1080/14689367.2019.1661355
intvolume: ' 35'
issue: '2'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1080/14689367.2019.1661355
page: 197-215
publication: Dynamical Systems
publication_identifier:
issn:
- 1468-9367
- 1468-9375
publication_status: published
status: public
title: On the equivariance properties of self-adjoint matrices
type: journal_article
user_id: '32655'
volume: 35
year: '2020'
...
---
_id: '51386'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: H.
full_name: Barnum, H.
last_name: Barnum
citation:
ama: Hilgert J, Barnum H. Spectral Properties of Convex Bodies. J of Lie Theory.
2020;30:315-344.
apa: Hilgert, J., & Barnum, H. (2020). Spectral Properties of Convex Bodies.
J. of Lie Theory, 30, 315–344.
bibtex: '@article{Hilgert_Barnum_2020, title={Spectral Properties of Convex Bodies},
volume={30}, journal={J. of Lie Theory}, author={Hilgert, Joachim and Barnum,
H.}, year={2020}, pages={315–344} }'
chicago: 'Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.”
J. of Lie Theory 30 (2020): 315–44.'
ieee: J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” J. of
Lie Theory, vol. 30, pp. 315–344, 2020.
mla: Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” J.
of Lie Theory, vol. 30, 2020, pp. 315–44.
short: J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.
date_created: 2024-02-19T06:37:21Z
date_updated: 2024-02-19T06:39:48Z
department:
- _id: '91'
intvolume: ' 30'
language:
- iso: eng
page: 315-344
publication: J. of Lie Theory
publication_status: published
status: public
title: Spectral Properties of Convex Bodies
type: journal_article
user_id: '49063'
volume: 30
year: '2020'
...
---
_id: '51488'
citation:
ama: Hilgert J, ed. Mathematik studieren -- Ein Ratgeber für Erstsemester und
solche, die es vielleicht werden wollen. Springer Spektrum; 2020.
apa: Hilgert, J. (Ed.). (2020). Mathematik studieren -- Ein Ratgeber für Erstsemester
und solche, die es vielleicht werden wollen. Springer Spektrum.
bibtex: '@book{Hilgert_2020, title={Mathematik studieren -- Ein Ratgeber für Erstsemester
und solche, die es vielleicht werden wollen}, publisher={Springer Spektrum}, year={2020}
}'
chicago: Hilgert, Joachim, ed. Mathematik studieren -- Ein Ratgeber für Erstsemester
und solche, die es vielleicht werden wollen. Springer Spektrum, 2020.
ieee: J. Hilgert, Ed., Mathematik studieren -- Ein Ratgeber für Erstsemester
und solche, die es vielleicht werden wollen. Springer Spektrum, 2020.
mla: Hilgert, Joachim, editor. Mathematik studieren -- Ein Ratgeber für Erstsemester
und solche, die es vielleicht werden wollen. Springer Spektrum, 2020.
short: J. Hilgert, ed., Mathematik studieren -- Ein Ratgeber für Erstsemester und
solche, die es vielleicht werden wollen, Springer Spektrum, 2020.
date_created: 2024-02-19T10:15:44Z
date_updated: 2024-02-19T10:16:46Z
department:
- _id: '91'
editor:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/book/10.1007/978-3-658-31833-8
publication_status: published
publisher: Springer Spektrum
status: public
title: Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht
werden wollen
type: book_editor
user_id: '49063'
year: '2020'
...
---
_id: '51520'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: D.
full_name: Brennecken, D.
last_name: Brennecken
- first_name: L.
full_name: Ciardo, L.
last_name: Ciardo
citation:
ama: Hilgert J, Brennecken D, Ciardo L. Algebraically Independent Generators for
the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ). Published online
2020.
apa: Hilgert, J., Brennecken, D., & Ciardo, L. (2020). Algebraically Independent
Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ).
bibtex: '@article{Hilgert_Brennecken_Ciardo_2020, title={Algebraically Independent
Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ)},
author={Hilgert, Joachim and Brennecken, D. and Ciardo, L.}, year={2020} }'
chicago: Hilgert, Joachim, D. Brennecken, and L. Ciardo. “Algebraically Independent
Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ),”
2020.
ieee: J. Hilgert, D. Brennecken, and L. Ciardo, “Algebraically Independent Generators
for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ).” 2020.
mla: Hilgert, Joachim, et al. Algebraically Independent Generators for the Algebra
of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ). 2020.
short: J. Hilgert, D. Brennecken, L. Ciardo, (2020).
date_created: 2024-02-20T08:19:00Z
date_updated: 2024-02-20T08:19:07Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2008.07479.pdf
oa: '1'
publication_status: published
status: public
title: Algebraically Independent Generators for the Algebra of Invariant Differential
Operators on SLn(ℝ)/SOn(ℝ)
type: preprint
user_id: '49063'
year: '2020'
...
---
_id: '51559'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. Mathematische
Semesterberichte. 2020;67:301–305. doi:10.1007/s00591-020-00282-4'
apa: 'Hilgert, J. (2020). Titu Andreescu und Vlad Crisan: Mathematical Induction
– A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk:
Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum
2019. In Mathematische Semesterberichte (Vol. 67, pp. 301–305). https://doi.org/10.1007/s00591-020-00282-4'
bibtex: '@article{Hilgert_2020, title={Titu Andreescu und Vlad Crisan: Mathematical
Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian
André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen.
Springer Spektrum 2019}, volume={67}, DOI={10.1007/s00591-020-00282-4},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
pages={301–305} }'
chicago: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
– A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00282-4.'
ieee: 'J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,”
Mathematische Semesterberichte, vol. 67. pp. 301–305, 2020, doi: 10.1007/s00591-020-00282-4.'
mla: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
– A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
2019.” Mathematische Semesterberichte, vol. 67, 2020, pp. 301–305, doi:10.1007/s00591-020-00282-4.'
short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305.
date_created: 2024-02-20T10:01:02Z
date_updated: 2024-02-20T10:03:50Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00282-4
intvolume: ' 67'
language:
- iso: eng
page: 301–305
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant
method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion
– Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51557'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed
Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press
2020. Mathematische Semesterberichte. 2020;67:307–309. doi:10.1007/s00591-020-00283-3'
apa: 'Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical
Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
Press 2020. In Mathematische Semesterberichte (Vol. 67, pp. 307–309). https://doi.org/10.1007/s00591-020-00283-3'
bibtex: '@article{Hilgert_2020, title={Fabio Toscano: The Secret Formula – How a
Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation.
Princeton University Press 2020}, volume={67}, DOI={10.1007/s00591-020-00283-3},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
pages={307–309} }'
chicago: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
Press 2020.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00283-3.'
ieee: 'J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel
Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
Press 2020,” Mathematische Semesterberichte, vol. 67. pp. 307–309, 2020,
doi: 10.1007/s00591-020-00283-3.'
mla: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
Press 2020.” Mathematische Semesterberichte, vol. 67, 2020, pp. 307–309,
doi:10.1007/s00591-020-00283-3.'
short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 307–309.
date_created: 2024-02-20T09:53:55Z
date_updated: 2024-02-20T10:03:46Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00283-3
intvolume: ' 67'
language:
- iso: eng
page: 307–309
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance
Italy and Uncovered the Cubic Equation. Princeton University Press 2020'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51561'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Robert Bosch: OPT ART – From Mathematical Optimization to Visual
Design. Princeton University Press 2019. Mathematische Semesterberichte.
2020;67:123–124. doi:10.1007/s00591-020-00272-6'
apa: 'Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization
to Visual Design. Princeton University Press 2019. In Mathematische Semesterberichte
(Vol. 67, pp. 123–124). https://doi.org/10.1007/s00591-020-00272-6'
bibtex: '@article{Hilgert_2020, title={Robert Bosch: OPT ART – From Mathematical
Optimization to Visual Design. Princeton University Press 2019}, volume={67},
DOI={10.1007/s00591-020-00272-6},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
pages={123–124} }'
chicago: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
to Visual Design. Princeton University Press 2019.” Mathematische Semesterberichte,
2020. https://doi.org/10.1007/s00591-020-00272-6.'
ieee: 'J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual
Design. Princeton University Press 2019,” Mathematische Semesterberichte,
vol. 67. pp. 123–124, 2020, doi: 10.1007/s00591-020-00272-6.'
mla: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
to Visual Design. Princeton University Press 2019.” Mathematische Semesterberichte,
vol. 67, 2020, pp. 123–124, doi:10.1007/s00591-020-00272-6.'
short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 123–124.
date_created: 2024-02-20T10:03:14Z
date_updated: 2024-02-20T10:04:02Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00272-6
intvolume: ' 67'
language:
- iso: eng
page: 123–124
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton
University Press 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51560'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. David M. Bressoud: Calculus Reordered -- A History of the Big Ideas.
Princeton University Press 2019. Mathematische Semesterberichte. 2020;67:297–299.
doi:10.1007/s00591-020-00280-6'
apa: 'Hilgert, J. (2020). David M. Bressoud: Calculus Reordered -- A History of
the Big Ideas. Princeton University Press 2019. In Mathematische Semesterberichte
(Vol. 67, pp. 297–299). https://doi.org/10.1007/s00591-020-00280-6'
bibtex: '@article{Hilgert_2020, title={David M. Bressoud: Calculus Reordered --
A History of the Big Ideas. Princeton University Press 2019}, volume={67}, DOI={10.1007/s00591-020-00280-6},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
pages={297–299} }'
chicago: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History
of the Big Ideas. Princeton University Press 2019.” Mathematische Semesterberichte,
2020. https://doi.org/10.1007/s00591-020-00280-6.'
ieee: 'J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big
Ideas. Princeton University Press 2019,” Mathematische Semesterberichte,
vol. 67. pp. 297–299, 2020, doi: 10.1007/s00591-020-00280-6.'
mla: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the
Big Ideas. Princeton University Press 2019.” Mathematische Semesterberichte,
vol. 67, 2020, pp. 297–299, doi:10.1007/s00591-020-00280-6.'
short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 297–299.
date_created: 2024-02-20T10:02:16Z
date_updated: 2024-02-20T10:03:56Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00280-6
intvolume: ' 67'
language:
- iso: eng
page: 297–299
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton
University Press 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51564'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Hilgert J. Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine
Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). Mathematische
Semesterberichte. 2020;67:97–98. doi:10.1007/s00591-019-00254-3'
apa: 'Hilgert, J. (2020). Daniel Grieser: Mathematisches Problemlösen und Beweisen
– Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). In Mathematische
Semesterberichte (Vol. 67, pp. 97–98). https://doi.org/10.1007/s00591-019-00254-3'
bibtex: '@article{Hilgert_2020, title={Daniel Grieser: Mathematisches Problemlösen
und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)},
volume={67}, DOI={10.1007/s00591-019-00254-3},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
pages={97–98} }'
chicago: 'Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen
– Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” Mathematische
Semesterberichte, 2020. https://doi.org/10.1007/s00591-019-00254-3.'
ieee: 'J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine
Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” Mathematische
Semesterberichte, vol. 67. pp. 97–98, 2020, doi: 10.1007/s00591-019-00254-3.'
mla: 'Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen
– Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” Mathematische
Semesterberichte, vol. 67, 2020, pp. 97–98, doi:10.1007/s00591-019-00254-3.'
short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 97–98.
date_created: 2024-02-20T10:06:36Z
date_updated: 2024-02-20T10:10:24Z
department:
- _id: '91'
doi: 10.1007/s00591-019-00254-3
intvolume: ' 67'
language:
- iso: ger
page: 97–98
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise
in die Mathematik. 2. Auflage (Springer 2017)'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51563'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
last_name: Hilgert
citation:
ama: 'Hilgert J. Claas Lattmann: Mathematische Modellierung bai Platon zwischen
Thales und Euklid (De Gruyter 2019). Mathematische Semesterberichte. 2020;67:109–111.
doi:10.1007/s00591-019-00254-3'
apa: 'Hilgert, J. (2020). Claas Lattmann: Mathematische Modellierung bai Platon
zwischen Thales und Euklid (De Gruyter 2019). In Mathematische Semesterberichte
(Vol. 67, pp. 109–111). https://doi.org/10.1007/s00591-019-00254-3'
bibtex: '@article{Hilgert_2020, title={Claas Lattmann: Mathematische Modellierung
bai Platon zwischen Thales und Euklid (De Gruyter 2019)}, volume={67}, DOI={10.1007/s00591-019-00254-3},
journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
pages={109–111} }'
chicago: 'Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon
zwischen Thales und Euklid (De Gruyter 2019).” Mathematische Semesterberichte,
2020. https://doi.org/10.1007/s00591-019-00254-3.'
ieee: 'J. Hilgert, “Claas Lattmann: Mathematische Modellierung bai Platon zwischen
Thales und Euklid (De Gruyter 2019),” Mathematische Semesterberichte, vol.
67. pp. 109–111, 2020, doi: 10.1007/s00591-019-00254-3.'
mla: 'Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen
Thales und Euklid (De Gruyter 2019).” Mathematische Semesterberichte, vol.
67, 2020, pp. 109–111, doi:10.1007/s00591-019-00254-3.'
short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 109–111.
date_created: 2024-02-20T10:05:17Z
date_updated: 2024-02-20T10:10:28Z
department:
- _id: '91'
doi: 10.1007/s00591-019-00254-3
intvolume: ' 67'
language:
- iso: ger
page: 109–111
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und
Euklid (De Gruyter 2019)'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '19945'
abstract:
- lang: eng
text: Many PDEs (Burgers' equation, KdV, Camassa-Holm, Euler's fluid equations,
…) can be formulated as infinite-dimensional Lie-Poisson systems. These are Hamiltonian
systems on manifolds equipped with Poisson brackets. The Poisson structure is
connected to conservation properties and other geometric features of solutions
to the PDE and, therefore, of great interest for numerical integration. For the
example of Burgers' equations and related PDEs we use Clebsch variables to lift
the original system to a collective Hamiltonian system on a symplectic manifold
whose structure is related to the original Lie-Poisson structure. On the collective
Hamiltonian system a symplectic integrator can be applied. Our numerical examples
show excellent conservation properties and indicate that the disadvantage of an
increased phase-space dimension can be outweighed by the advantage of symplectic
integration.
article_type: original
author:
- first_name: Robert I
full_name: McLachlan, Robert I
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
- first_name: Benjamin K
full_name: Tapley, Benjamin K
last_name: Tapley
citation:
ama: McLachlan RI, Offen C, Tapley BK. Symplectic integration of PDEs using Clebsch
variables. Journal of Computational Dynamics. 2019;6(1):111-130. doi:10.3934/jcd.2019005
apa: McLachlan, R. I., Offen, C., & Tapley, B. K. (2019). Symplectic integration
of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1),
111–130. https://doi.org/10.3934/jcd.2019005
bibtex: '@article{McLachlan_Offen_Tapley_2019, title={Symplectic integration of
PDEs using Clebsch variables}, volume={6}, DOI={10.3934/jcd.2019005},
number={1}, journal={Journal of Computational Dynamics}, publisher={American Institute
of Mathematical Sciences (AIMS)}, author={McLachlan, Robert I and Offen, Christian
and Tapley, Benjamin K}, year={2019}, pages={111–130} }'
chicago: 'McLachlan, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic
Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics
6, no. 1 (2019): 111–30. https://doi.org/10.3934/jcd.2019005.'
ieee: R. I. McLachlan, C. Offen, and B. K. Tapley, “Symplectic integration of PDEs
using Clebsch variables,” Journal of Computational Dynamics, vol. 6, no.
1, pp. 111–130, 2019.
mla: McLachlan, Robert I., et al. “Symplectic Integration of PDEs Using Clebsch
Variables.” Journal of Computational Dynamics, vol. 6, no. 1, American
Institute of Mathematical Sciences (AIMS), 2019, pp. 111–30, doi:10.3934/jcd.2019005.
short: R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics
6 (2019) 111–130.
date_created: 2020-10-06T16:44:07Z
date_updated: 2022-01-06T06:54:15Z
department:
- _id: '636'
doi: 10.3934/jcd.2019005
extern: '1'
intvolume: ' 6'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.aimsciences.org/article/doi/10.3934/jcd.2019005
oa: '1'
page: 111-130
publication: Journal of Computational Dynamics
publication_identifier:
issn:
- 2158-2505
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Symplectic integration of PDEs using Clebsch variables
type: journal_article
user_id: '85279'
volume: 6
year: '2019'
...
---
_id: '21944'
article_number: '044116'
author:
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Lorenzo
full_name: Boninsegna, Lorenzo
last_name: Boninsegna
- first_name: Cecilia
full_name: Clementi, Cecilia
last_name: Clementi
citation:
ama: Nüske F, Boninsegna L, Clementi C. Coarse-graining molecular systems by spectral
matching. The Journal of Chemical Physics. 2019. doi:10.1063/1.5100131
apa: Nüske, F., Boninsegna, L., & Clementi, C. (2019). Coarse-graining molecular
systems by spectral matching. The Journal of Chemical Physics. https://doi.org/10.1063/1.5100131
bibtex: '@article{Nüske_Boninsegna_Clementi_2019, title={Coarse-graining molecular
systems by spectral matching}, DOI={10.1063/1.5100131},
number={044116}, journal={The Journal of Chemical Physics}, author={Nüske, Feliks
and Boninsegna, Lorenzo and Clementi, Cecilia}, year={2019} }'
chicago: Nüske, Feliks, Lorenzo Boninsegna, and Cecilia Clementi. “Coarse-Graining
Molecular Systems by Spectral Matching.” The Journal of Chemical Physics,
2019. https://doi.org/10.1063/1.5100131.
ieee: F. Nüske, L. Boninsegna, and C. Clementi, “Coarse-graining molecular systems
by spectral matching,” The Journal of Chemical Physics, 2019.
mla: Nüske, Feliks, et al. “Coarse-Graining Molecular Systems by Spectral Matching.”
The Journal of Chemical Physics, 044116, 2019, doi:10.1063/1.5100131.
short: F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
date_created: 2021-04-30T17:01:13Z
date_updated: 2022-01-06T06:55:20Z
department:
- _id: '101'
doi: 10.1063/1.5100131
extern: '1'
language:
- iso: eng
publication: The Journal of Chemical Physics
publication_identifier:
issn:
- 0021-9606
- 1089-7690
publication_status: published
status: public
title: Coarse-graining molecular systems by spectral matching
type: journal_article
user_id: '81513'
year: '2019'
...
---
_id: '8577'
author:
- first_name: Christiane
full_name: Kuklinski, Christiane
last_name: Kuklinski
- first_name: Elena
full_name: Leis, Elena
last_name: Leis
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
citation:
ama: 'Kuklinski C, Leis E, Liebendörfer M, Hochmuth R. Erklärung von Mathematikleistung
im Ingenieursstudium. In: Beiträge Zum Mathematikunterricht 2019. ; 2019.'
apa: Kuklinski, C., Leis, E., Liebendörfer, M., & Hochmuth, R. (2019). Erklärung
von Mathematikleistung im Ingenieursstudium. In Beiträge zum Mathematikunterricht
2019.
bibtex: '@inbook{Kuklinski_Leis_Liebendörfer_Hochmuth_2019, title={Erklärung von
Mathematikleistung im Ingenieursstudium}, booktitle={Beiträge zum Mathematikunterricht
2019}, author={Kuklinski, Christiane and Leis, Elena and Liebendörfer, Michael
and Hochmuth, Reinhard}, year={2019} }'
chicago: Kuklinski, Christiane, Elena Leis, Michael Liebendörfer, and Reinhard Hochmuth.
“Erklärung von Mathematikleistung Im Ingenieursstudium.” In Beiträge Zum Mathematikunterricht
2019, 2019.
ieee: C. Kuklinski, E. Leis, M. Liebendörfer, and R. Hochmuth, “Erklärung von Mathematikleistung
im Ingenieursstudium,” in Beiträge zum Mathematikunterricht 2019, 2019.
mla: Kuklinski, Christiane, et al. “Erklärung von Mathematikleistung Im Ingenieursstudium.”
Beiträge Zum Mathematikunterricht 2019, 2019.
short: 'C. Kuklinski, E. Leis, M. Liebendörfer, R. Hochmuth, in: Beiträge Zum Mathematikunterricht
2019, 2019.'
date_created: 2019-03-25T15:35:44Z
date_updated: 2022-01-06T07:03:57Z
department:
- _id: '10'
language:
- iso: eng
publication: Beiträge zum Mathematikunterricht 2019
status: public
title: Erklärung von Mathematikleistung im Ingenieursstudium
type: book_chapter
user_id: '30933'
year: '2019'
...
---
_id: '16709'
author:
- first_name: Tuhin
full_name: Sahai, Tuhin
last_name: Sahai
- first_name: Adrian
full_name: Ziessler, Adrian
last_name: Ziessler
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Sahai T, Ziessler A, Klus S, Dellnitz M. Continuous relaxations for the traveling
salesman problem. Nonlinear Dynamics. 2019. doi:10.1007/s11071-019-05092-5
apa: Sahai, T., Ziessler, A., Klus, S., & Dellnitz, M. (2019). Continuous relaxations
for the traveling salesman problem. Nonlinear Dynamics. https://doi.org/10.1007/s11071-019-05092-5
bibtex: '@article{Sahai_Ziessler_Klus_Dellnitz_2019, title={Continuous relaxations
for the traveling salesman problem}, DOI={10.1007/s11071-019-05092-5},
journal={Nonlinear Dynamics}, author={Sahai, Tuhin and Ziessler, Adrian and Klus,
Stefan and Dellnitz, Michael}, year={2019} }'
chicago: Sahai, Tuhin, Adrian Ziessler, Stefan Klus, and Michael Dellnitz. “Continuous
Relaxations for the Traveling Salesman Problem.” Nonlinear Dynamics, 2019.
https://doi.org/10.1007/s11071-019-05092-5.
ieee: T. Sahai, A. Ziessler, S. Klus, and M. Dellnitz, “Continuous relaxations for
the traveling salesman problem,” Nonlinear Dynamics, 2019.
mla: Sahai, Tuhin, et al. “Continuous Relaxations for the Traveling Salesman Problem.”
Nonlinear Dynamics, 2019, doi:10.1007/s11071-019-05092-5.
short: T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
date_created: 2020-04-16T14:05:04Z
date_updated: 2022-01-06T06:52:55Z
department:
- _id: '101'
doi: 10.1007/s11071-019-05092-5
language:
- iso: eng
publication: Nonlinear Dynamics
publication_identifier:
issn:
- 0924-090X
- 1573-269X
publication_status: published
status: public
title: Continuous relaxations for the traveling salesman problem
type: journal_article
user_id: '47427'
year: '2019'
...
---
_id: '10593'
abstract:
- lang: eng
text: We present a new framework for optimal and feedback control of PDEs using
Koopman operator-based reduced order models (K-ROMs). The Koopman operator is
a linear but infinite-dimensional operator which describes the dynamics of observables.
A numerical approximation of the Koopman operator therefore yields a linear system
for the observation of an autonomous dynamical system. In our approach, by introducing
a finite number of constant controls, the dynamic control system is transformed
into a set of autonomous systems and the corresponding optimal control problem
into a switching time optimization problem. This allows us to replace each of
these systems by a K-ROM which can be solved orders of magnitude faster. By this
approach, a nonlinear infinite-dimensional control problem is transformed into
a low-dimensional linear problem. Using a recent convergence result for the numerical
approximation via Extended Dynamic Mode Decomposition (EDMD), we show that the
value of the K-ROM based objective function converges in measure to the value
of the full objective function. To illustrate the results, we consider the 1D
Burgers equation and the 2D Navier–Stokes equations. The numerical experiments
show remarkable performance concerning both solution times and accuracy.
article_type: original
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
citation:
ama: Peitz S, Klus S. Koopman operator-based model reduction for switched-system
control of PDEs. Automatica. 2019;106:184-191. doi:10.1016/j.automatica.2019.05.016
apa: Peitz, S., & Klus, S. (2019). Koopman operator-based model reduction for
switched-system control of PDEs. Automatica, 106, 184–191. https://doi.org/10.1016/j.automatica.2019.05.016
bibtex: '@article{Peitz_Klus_2019, title={Koopman operator-based model reduction
for switched-system control of PDEs}, volume={106}, DOI={10.1016/j.automatica.2019.05.016},
journal={Automatica}, author={Peitz, Sebastian and Klus, Stefan}, year={2019},
pages={184–191} }'
chicago: 'Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction
for Switched-System Control of PDEs.” Automatica 106 (2019): 184–91. https://doi.org/10.1016/j.automatica.2019.05.016.'
ieee: S. Peitz and S. Klus, “Koopman operator-based model reduction for switched-system
control of PDEs,” Automatica, vol. 106, pp. 184–191, 2019.
mla: Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction
for Switched-System Control of PDEs.” Automatica, vol. 106, 2019, pp. 184–91,
doi:10.1016/j.automatica.2019.05.016.
short: S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
date_created: 2019-07-10T08:08:16Z
date_updated: 2022-01-06T06:50:46Z
department:
- _id: '101'
doi: 10.1016/j.automatica.2019.05.016
intvolume: ' 106'
language:
- iso: eng
page: 184-191
publication: Automatica
publication_identifier:
issn:
- 0005-1098
publication_status: published
status: public
title: Koopman operator-based model reduction for switched-system control of PDEs
type: journal_article
user_id: '47427'
volume: 106
year: '2019'
...
---
_id: '10595'
abstract:
- lang: eng
text: In this article we show that the boundary of the Pareto critical set of an
unconstrained multiobjective optimization problem (MOP) consists of Pareto critical
points of subproblems where only a subset of the set of objective functions is
taken into account. If the Pareto critical set is completely described by its
boundary (e.g., if we have more objective functions than dimensions in decision
space), then this can be used to efficiently solve the MOP by solving a number
of MOPs with fewer objective functions. If this is not the case, the results can
still give insight into the structure of the Pareto critical set.
article_type: original
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Gebken B, Peitz S, Dellnitz M. On the hierarchical structure of Pareto critical
sets. Journal of Global Optimization. 2019;73(4):891-913. doi:10.1007/s10898-019-00737-6
apa: Gebken, B., Peitz, S., & Dellnitz, M. (2019). On the hierarchical structure
of Pareto critical sets. Journal of Global Optimization, 73(4),
891–913. https://doi.org/10.1007/s10898-019-00737-6
bibtex: '@article{Gebken_Peitz_Dellnitz_2019, title={On the hierarchical structure
of Pareto critical sets}, volume={73}, DOI={10.1007/s10898-019-00737-6},
number={4}, journal={Journal of Global Optimization}, author={Gebken, Bennet and
Peitz, Sebastian and Dellnitz, Michael}, year={2019}, pages={891–913} }'
chicago: 'Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “On the Hierarchical
Structure of Pareto Critical Sets.” Journal of Global Optimization 73,
no. 4 (2019): 891–913. https://doi.org/10.1007/s10898-019-00737-6.'
ieee: B. Gebken, S. Peitz, and M. Dellnitz, “On the hierarchical structure of Pareto
critical sets,” Journal of Global Optimization, vol. 73, no. 4, pp. 891–913,
2019.
mla: Gebken, Bennet, et al. “On the Hierarchical Structure of Pareto Critical Sets.”
Journal of Global Optimization, vol. 73, no. 4, 2019, pp. 891–913, doi:10.1007/s10898-019-00737-6.
short: B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019)
891–913.
date_created: 2019-07-10T08:13:31Z
date_updated: 2022-01-06T06:50:46Z
department:
- _id: '101'
doi: 10.1007/s10898-019-00737-6
intvolume: ' 73'
issue: '4'
language:
- iso: eng
page: 891-913
publication: Journal of Global Optimization
publication_identifier:
issn:
- 0925-5001
- 1573-2916
publication_status: published
status: public
title: On the hierarchical structure of Pareto critical sets
type: journal_article
user_id: '47427'
volume: 73
year: '2019'
...
---
_id: '10597'
abstract:
- lang: eng
text: In comparison to classical control approaches in the field of electrical drives
like the field-oriented control (FOC), model predictive control (MPC) approaches
are able to provide a higher control performance. This refers to shorter settling
times, lower overshoots, and a better decoupling of control variables in case
of multi-variable controls. However, this can only be achieved if the used prediction
model covers the actual behavior of the plant sufficiently well. In case of model
deviations, the performance utilizing MPC remains below its potential. This results
in effects like increased current ripple or steady state setpoint deviations.
In order to achieve a high control performance, it is therefore necessary to adapt
the model to the real plant behavior. When using an online system identification,
a less accurate model is sufficient for commissioning of the drive system. In
this paper, the combination of a finite-control-set MPC (FCS-MPC) with a system
identification is proposed. The method does not require high-frequency signal
injection, but uses the measured values already required for the FCS-MPC. An evaluation
of the least squares-based identification on a laboratory test bench showed that
the model accuracy and thus the control performance could be improved by an online
update of the prediction models.
author:
- first_name: Soren
full_name: Hanke, Soren
last_name: Hanke
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Oliver
full_name: Wallscheid, Oliver
last_name: Wallscheid
- first_name: Joachim
full_name: Böcker, Joachim
last_name: Böcker
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: 'Hanke S, Peitz S, Wallscheid O, Böcker J, Dellnitz M. Finite-Control-Set Model
Predictive Control for a Permanent Magnet Synchronous Motor Application with Online
Least Squares System Identification. In: 2019 IEEE International Symposium
on Predictive Control of Electrical Drives and Power Electronics (PRECEDE).
; 2019. doi:10.1109/precede.2019.8753313'
apa: Hanke, S., Peitz, S., Wallscheid, O., Böcker, J., & Dellnitz, M. (2019).
Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous
Motor Application with Online Least Squares System Identification. In 2019
IEEE International Symposium on Predictive Control of Electrical Drives and Power
Electronics (PRECEDE). https://doi.org/10.1109/precede.2019.8753313
bibtex: '@inproceedings{Hanke_Peitz_Wallscheid_Böcker_Dellnitz_2019, title={Finite-Control-Set
Model Predictive Control for a Permanent Magnet Synchronous Motor Application
with Online Least Squares System Identification}, DOI={10.1109/precede.2019.8753313},
booktitle={2019 IEEE International Symposium on Predictive Control of Electrical
Drives and Power Electronics (PRECEDE)}, author={Hanke, Soren and Peitz, Sebastian
and Wallscheid, Oliver and Böcker, Joachim and Dellnitz, Michael}, year={2019}
}'
chicago: Hanke, Soren, Sebastian Peitz, Oliver Wallscheid, Joachim Böcker, and Michael
Dellnitz. “Finite-Control-Set Model Predictive Control for a Permanent Magnet
Synchronous Motor Application with Online Least Squares System Identification.”
In 2019 IEEE International Symposium on Predictive Control of Electrical Drives
and Power Electronics (PRECEDE), 2019. https://doi.org/10.1109/precede.2019.8753313.
ieee: S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, and M. Dellnitz, “Finite-Control-Set
Model Predictive Control for a Permanent Magnet Synchronous Motor Application
with Online Least Squares System Identification,” in 2019 IEEE International
Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE),
2019.
mla: Hanke, Soren, et al. “Finite-Control-Set Model Predictive Control for a Permanent
Magnet Synchronous Motor Application with Online Least Squares System Identification.”
2019 IEEE International Symposium on Predictive Control of Electrical Drives
and Power Electronics (PRECEDE), 2019, doi:10.1109/precede.2019.8753313.
short: 'S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE
International Symposium on Predictive Control of Electrical Drives and Power Electronics
(PRECEDE), 2019.'
date_created: 2019-07-10T08:15:23Z
date_updated: 2022-01-06T06:50:46Z
department:
- _id: '101'
doi: 10.1109/precede.2019.8753313
language:
- iso: eng
publication: 2019 IEEE International Symposium on Predictive Control of Electrical
Drives and Power Electronics (PRECEDE)
publication_identifier:
isbn:
- '9781538694145'
publication_status: published
status: public
title: Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous
Motor Application with Online Least Squares System Identification
type: conference
user_id: '47427'
year: '2019'
...
---
_id: '13106'
author:
- first_name: Jan
full_name: Schumacher, Jan
id: '26809'
last_name: Schumacher
orcid: 0000-0002-6676-9774
citation:
ama: 'Schumacher J. Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion
negativer Zahlen. In: Beiträge zum Mathematikunterricht 2019.'
apa: Schumacher, J. (n.d.). Rekonstruktion diagrammatischen Schließens am Beispiel
der Subtraktion negativer Zahlen. In Beiträge zum Mathematikunterricht 2019.
Regensburg.
bibtex: '@inproceedings{Schumacher, title={Rekonstruktion diagrammatischen Schließens
am Beispiel der Subtraktion negativer Zahlen}, booktitle={Beiträge zum Mathematikunterricht
2019}, author={Schumacher, Jan} }'
chicago: Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel
der Subtraktion negativer Zahlen.” In Beiträge zum Mathematikunterricht 2019,
n.d.
ieee: J. Schumacher, “Rekonstruktion diagrammatischen Schließens am Beispiel der
Subtraktion negativer Zahlen,” in Beiträge zum Mathematikunterricht 2019,
Regensburg.
mla: Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel der
Subtraktion negativer Zahlen.” Beiträge zum Mathematikunterricht 2019.
short: 'J. Schumacher, in: Beiträge zum Mathematikunterricht 2019, n.d.'
conference:
location: Regensburg
name: 53. Jahrestagung der Gesellschaft für Didaktik der Mathematik
date_created: 2019-08-30T11:58:37Z
date_updated: 2022-01-06T06:51:28Z
department:
- _id: '360'
- _id: '98'
language:
- iso: ger
publication: Beiträge zum Mathematikunterricht 2019
publication_status: inpress
status: public
title: Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer
Zahlen
type: conference
user_id: '26809'
year: '2019'
...
---
_id: '13107'
abstract:
- lang: eng
text: In this paper, we first outline a Hypothetical Learning Trajectory (HLT),
which aims at a formal understanding of the rules for manipulating integers. The
HLT is based on task formats, which promote algebraic thinking in terms of generalizing
rules from the analysis of patterns and should be familiar to students from their
mathematics education experiences in elementary school. Second, we analyze two
students' actual learning process based on Peircean semiotics. The analysis shows
that the actual learning process diverges from the hypothesized learning process
in that the students do not relate the different levels of the diagrams in a way
that allows them to extrapolate the rule for the subtraction of negative numbers.
Based on this finding, we point out consequences for the design of the tasks.
author:
- first_name: Jan
full_name: Schumacher, Jan
id: '26809'
last_name: Schumacher
orcid: 0000-0002-6676-9774
- first_name: Sebastian
full_name: Rezat, Sebastian
last_name: Rezat
citation:
ama: 'Schumacher J, Rezat S. A Hypothetical Learning Trajectory for the Learning
of the Rules for Manipulating Integers. In: Jankvist UT, Van den Heuvel-Panhuizen
M, Veldhuis M, eds. Proceedings of the Eleventh Congress of the European Society
for Research in Mathematics Education (CERME11, February 6 – 10, 2019). Utrecht,
the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University
and ERME.'
apa: 'Schumacher, J., & Rezat, S. (n.d.). A Hypothetical Learning Trajectory
for the Learning of the Rules for Manipulating Integers. In U. T. Jankvist, M.
Van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Proceedings of the Eleventh
Congress of the European Society for Research in Mathematics Education (CERME11,
February 6 – 10, 2019). Utrecht, the Netherlands: Freudenthal Group &
Freudenthal Institute, Utrecht University and ERME.'
bibtex: '@inproceedings{Schumacher_Rezat, place={Utrecht, the Netherlands}, title={A
Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating
Integers}, booktitle={Proceedings of the Eleventh Congress of the European Society
for Research in Mathematics Education (CERME11, February 6 – 10, 2019)}, publisher={Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME}, author={Schumacher,
Jan and Rezat, Sebastian}, editor={Jankvist, Uffe Thomas and Van den Heuvel-Panhuizen,
Marja and Veldhuis, MichielEditors} }'
chicago: 'Schumacher, Jan, and Sebastian Rezat. “A Hypothetical Learning Trajectory
for the Learning of the Rules for Manipulating Integers.” In Proceedings of
the Eleventh Congress of the European Society for Research in Mathematics Education
(CERME11, February 6 – 10, 2019), edited by Uffe Thomas Jankvist, Marja Van
den Heuvel-Panhuizen, and Michiel Veldhuis. Utrecht, the Netherlands: Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME, n.d.'
ieee: J. Schumacher and S. Rezat, “A Hypothetical Learning Trajectory for the Learning
of the Rules for Manipulating Integers,” in Proceedings of the Eleventh Congress
of the European Society for Research in Mathematics Education (CERME11, February
6 – 10, 2019), Utrecht.
mla: Schumacher, Jan, and Sebastian Rezat. “A Hypothetical Learning Trajectory for
the Learning of the Rules for Manipulating Integers.” Proceedings of the Eleventh
Congress of the European Society for Research in Mathematics Education (CERME11,
February 6 – 10, 2019), edited by Uffe Thomas Jankvist et al., Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME.
short: 'J. Schumacher, S. Rezat, in: U.T. Jankvist, M. Van den Heuvel-Panhuizen,
M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society
for Research in Mathematics Education (CERME11, February 6 – 10, 2019), Freudenthal
Group & Freudenthal Institute, Utrecht University and ERME, Utrecht, the Netherlands,
n.d.'
conference:
end_date: 2019-02-10
location: Utrecht
name: CERME 11
start_date: 2019-02-06
date_created: 2019-08-30T12:00:50Z
date_updated: 2022-01-06T06:51:28Z
department:
- _id: '360'
- _id: '98'
editor:
- first_name: Uffe Thomas
full_name: Jankvist, Uffe Thomas
last_name: Jankvist
- first_name: Marja
full_name: Van den Heuvel-Panhuizen, Marja
last_name: Van den Heuvel-Panhuizen
- first_name: Michiel
full_name: Veldhuis, Michiel
last_name: Veldhuis
keyword:
- diagrammatic reasoning
- hypothetical learning trajectory
- induction extrapolatory method
- integers
- negative numbers
- permanence principle
- semiotics
language:
- iso: eng
place: Utrecht, the Netherlands
publication: Proceedings of the Eleventh Congress of the European Society for Research
in Mathematics Education (CERME11, February 6 – 10, 2019)
publication_status: accepted
publisher: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME
quality_controlled: '1'
status: public
title: A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating
Integers
type: conference
user_id: '26809'
year: '2019'
...