---
_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: '45954'
abstract:
- lang: eng
text: "Abstract\r\n $L^2$ norm error
estimates of semi- and full discretizations of wave equations with dynamic boundary
conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied.
The analysis rests on an abstract formulation and error estimates, via energy
techniques, within this abstract setting. Four prototypical linear wave equations
with dynamic boundary conditions are analysed, which fit into the abstract framework.
For problems with velocity terms or with acoustic boundary conditions we prove
surprising results: for such problems the spatial convergence order is shown to
be less than 2. These can also be observed in the presented numerical experiments."
author:
- first_name: David
full_name: Hipp, David
last_name: Hipp
- first_name: Balázs
full_name: Kovács, Balázs
last_name: Kovács
citation:
ama: 'Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic
boundary conditions: L2 estimates. IMA Journal of Numerical Analysis.
2020;41(1):638-728. doi:10.1093/imanum/drz073'
apa: 'Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations
with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical
Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073'
bibtex: '@article{Hipp_Kovács_2020, title={Finite element error analysis of wave
equations with dynamic boundary conditions: L2 estimates}, volume={41},
DOI={10.1093/imanum/drz073},
number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728}
}'
chicago: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave
Equations with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal
of Numerical Analysis 41, no. 1 (2020): 638–728. https://doi.org/10.1093/imanum/drz073.'
ieee: 'D. Hipp and B. Kovács, “Finite element error analysis of wave equations with
dynamic boundary conditions: L2 estimates,” IMA Journal of Numerical
Analysis, vol. 41, no. 1, pp. 638–728, 2020, doi: 10.1093/imanum/drz073.'
mla: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations
with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal of Numerical
Analysis, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728,
doi:10.1093/imanum/drz073.'
short: D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
date_created: 2023-07-10T11:42:43Z
date_updated: 2024-04-03T09:14:14Z
department:
- _id: '841'
doi: 10.1093/imanum/drz073
intvolume: ' 41'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 638-728
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'Finite element error analysis of wave equations with dynamic boundary conditions:
L2 estimates'
type: journal_article
user_id: '100441'
volume: 41
year: '2020'
...
---
_id: '45953'
abstract:
- lang: eng
text: "Abstract\r\n $L^2$ norm error
estimates of semi- and full discretizations of wave equations with dynamic boundary
conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied.
The analysis rests on an abstract formulation and error estimates, via energy
techniques, within this abstract setting. Four prototypical linear wave equations
with dynamic boundary conditions are analysed, which fit into the abstract framework.
For problems with velocity terms or with acoustic boundary conditions we prove
surprising results: for such problems the spatial convergence order is shown to
be less than 2. These can also be observed in the presented numerical experiments."
author:
- first_name: David
full_name: Hipp, David
last_name: Hipp
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: 'Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic
boundary conditions: L2 estimates. IMA Journal of Numerical Analysis.
2020;41(1):638-728. doi:10.1093/imanum/drz073'
apa: 'Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations
with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical
Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073'
bibtex: '@article{Hipp_Kovács_2020, title={Finite element error analysis of wave
equations with dynamic boundary conditions: L2 estimates}, volume={41},
DOI={10.1093/imanum/drz073},
number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728}
}'
chicago: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave
Equations with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal
of Numerical Analysis 41, no. 1 (2020): 638–728. https://doi.org/10.1093/imanum/drz073.'
ieee: 'D. Hipp and B. Kovács, “Finite element error analysis of wave equations with
dynamic boundary conditions: L2 estimates,” IMA Journal of Numerical
Analysis, vol. 41, no. 1, pp. 638–728, 2020, doi: 10.1093/imanum/drz073.'
mla: 'Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations
with Dynamic Boundary Conditions: L2 Estimates.” IMA Journal of Numerical
Analysis, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728,
doi:10.1093/imanum/drz073.'
short: D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
date_created: 2023-07-10T11:42:31Z
date_updated: 2024-04-03T09:20:44Z
department:
- _id: '841'
doi: 10.1093/imanum/drz073
intvolume: ' 41'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 638-728
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: 'Finite element error analysis of wave equations with dynamic boundary conditions:
L2 estimates'
type: journal_article
user_id: '100441'
volume: 41
year: '2020'
...
---
_id: '45955'
author:
- first_name: Georgios
full_name: Akrivis, Georgios
last_name: Akrivis
- first_name: Michael
full_name: Feischl, Michael
last_name: Feischl
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Christian
full_name: Lubich, Christian
last_name: Lubich
citation:
ama: Akrivis G, Feischl M, Kovács B, Lubich C. Higher-order linearly implicit full
discretization of the Landau–Lifshitz–Gilbert equation. Mathematics of Computation.
2020;90(329):995-1038. doi:10.1090/mcom/3597
apa: Akrivis, G., Feischl, M., Kovács, B., & Lubich, C. (2020). Higher-order
linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation.
Mathematics of Computation, 90(329), 995–1038. https://doi.org/10.1090/mcom/3597
bibtex: '@article{Akrivis_Feischl_Kovács_Lubich_2020, title={Higher-order linearly
implicit full discretization of the Landau–Lifshitz–Gilbert equation}, volume={90},
DOI={10.1090/mcom/3597}, number={329},
journal={Mathematics of Computation}, publisher={American Mathematical Society
(AMS)}, author={Akrivis, Georgios and Feischl, Michael and Kovács, Balázs and
Lubich, Christian}, year={2020}, pages={995–1038} }'
chicago: 'Akrivis, Georgios, Michael Feischl, Balázs Kovács, and Christian Lubich.
“Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert
Equation.” Mathematics of Computation 90, no. 329 (2020): 995–1038. https://doi.org/10.1090/mcom/3597.'
ieee: 'G. Akrivis, M. Feischl, B. Kovács, and C. Lubich, “Higher-order linearly
implicit full discretization of the Landau–Lifshitz–Gilbert equation,” Mathematics
of Computation, vol. 90, no. 329, pp. 995–1038, 2020, doi: 10.1090/mcom/3597.'
mla: Akrivis, Georgios, et al. “Higher-Order Linearly Implicit Full Discretization
of the Landau–Lifshitz–Gilbert Equation.” Mathematics of Computation, vol.
90, no. 329, American Mathematical Society (AMS), 2020, pp. 995–1038, doi:10.1090/mcom/3597.
short: G. Akrivis, M. Feischl, B. Kovács, C. Lubich, Mathematics of Computation
90 (2020) 995–1038.
date_created: 2023-07-10T11:42:57Z
date_updated: 2024-04-03T09:20:36Z
department:
- _id: '841'
doi: 10.1090/mcom/3597
intvolume: ' 90'
issue: '329'
keyword:
- Applied Mathematics
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 995-1038
publication: Mathematics of Computation
publication_identifier:
issn:
- 0025-5718
- 1088-6842
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert
equation
type: journal_article
user_id: '100441'
volume: 90
year: '2020'
...
---
_id: '45952'
author:
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Buyang
full_name: Li, Buyang
last_name: Li
- first_name: Christian
full_name: Lubich, Christian
last_name: Lubich
citation:
ama: Kovács B, Li B, Lubich C. A convergent algorithm for forced mean curvature
flow driven by diffusion on the surface. Interfaces and Free Boundaries.
2020;22(4):443-464. doi:10.4171/ifb/446
apa: Kovács, B., Li, B., & Lubich, C. (2020). A convergent algorithm for forced
mean curvature flow driven by diffusion on the surface. Interfaces and Free
Boundaries, 22(4), 443–464. https://doi.org/10.4171/ifb/446
bibtex: '@article{Kovács_Li_Lubich_2020, title={A convergent algorithm for forced
mean curvature flow driven by diffusion on the surface}, volume={22}, DOI={10.4171/ifb/446}, number={4}, journal={Interfaces
and Free Boundaries}, publisher={European Mathematical Society - EMS - Publishing
House GmbH}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2020},
pages={443–464} }'
chicago: 'Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Algorithm
for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” Interfaces
and Free Boundaries 22, no. 4 (2020): 443–64. https://doi.org/10.4171/ifb/446.'
ieee: 'B. Kovács, B. Li, and C. Lubich, “A convergent algorithm for forced mean
curvature flow driven by diffusion on the surface,” Interfaces and Free Boundaries,
vol. 22, no. 4, pp. 443–464, 2020, doi: 10.4171/ifb/446.'
mla: Kovács, Balázs, et al. “A Convergent Algorithm for Forced Mean Curvature Flow
Driven by Diffusion on the Surface.” Interfaces and Free Boundaries, vol.
22, no. 4, European Mathematical Society - EMS - Publishing House GmbH, 2020,
pp. 443–64, doi:10.4171/ifb/446.
short: B. Kovács, B. Li, C. Lubich, Interfaces and Free Boundaries 22 (2020) 443–464.
date_created: 2023-07-10T11:42:14Z
date_updated: 2024-04-03T09:21:02Z
department:
- _id: '841'
doi: 10.4171/ifb/446
intvolume: ' 22'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 443-464
publication: Interfaces and Free Boundaries
publication_identifier:
issn:
- 1463-9963
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: A convergent algorithm for forced mean curvature flow driven by diffusion on
the surface
type: journal_article
user_id: '100441'
volume: 22
year: '2020'
...
---
_id: '34632'
author:
- first_name: Kerstin
full_name: Hesse, Kerstin
id: '42608'
last_name: Hesse
orcid: 0000-0003-4125-1941
citation:
ama: 'Hesse K. RBF-based penalized least-squares approximation of noisy scattered
data on the sphere. In: Hickernell FJ, Kritzer P, eds. Multivariate Algorithms
and Information-Based Complexity. De Gruyter; 2020:33-42.'
apa: Hesse, K. (2020). RBF-based penalized least-squares approximation of noisy
scattered data on the sphere. In F. J. Hickernell & P. Kritzer (Eds.), Multivariate
Algorithms and Information-Based Complexity (pp. 33–42). De Gruyter.
bibtex: '@inbook{Hesse_2020, place={Berlin/Boston}, title={RBF-based penalized least-squares
approximation of noisy scattered data on the sphere}, booktitle={Multivariate
Algorithms and Information-Based Complexity}, publisher={De Gruyter}, author={Hesse,
Kerstin}, editor={Hickernell, Fred J. and Kritzer, Peter}, year={2020}, pages={33–42}
}'
chicago: 'Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy
Scattered Data on the Sphere.” In Multivariate Algorithms and Information-Based
Complexity, edited by Fred J. Hickernell and Peter Kritzer, 33–42. Berlin/Boston:
De Gruyter, 2020.'
ieee: 'K. Hesse, “RBF-based penalized least-squares approximation of noisy scattered
data on the sphere,” in Multivariate Algorithms and Information-Based Complexity,
F. J. Hickernell and P. Kritzer, Eds. Berlin/Boston: De Gruyter, 2020, pp. 33–42.'
mla: Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy Scattered
Data on the Sphere.” Multivariate Algorithms and Information-Based Complexity,
edited by Fred J. Hickernell and Peter Kritzer, De Gruyter, 2020, pp. 33–42.
short: 'K. Hesse, in: F.J. Hickernell, P. Kritzer (Eds.), Multivariate Algorithms
and Information-Based Complexity, De Gruyter, Berlin/Boston, 2020, pp. 33–42.'
date_created: 2022-12-20T17:34:38Z
date_updated: 2024-04-03T11:03:30Z
department:
- _id: '10'
editor:
- first_name: Fred J.
full_name: Hickernell, Fred J.
last_name: Hickernell
- first_name: Peter
full_name: Kritzer, Peter
last_name: Kritzer
language:
- iso: eng
page: '33-42 '
place: Berlin/Boston
publication: Multivariate Algorithms and Information-Based Complexity
publication_identifier:
isbn:
- '9783110633115'
publisher: De Gruyter
status: public
title: RBF-based penalized least-squares approximation of noisy scattered data on
the sphere
type: book_chapter
user_id: '49063'
year: '2020'
...
---
_id: '53415'
abstract:
- lang: eng
text: "AbstractGiven a closed orientable hyperbolic
manifold of dimension $$\\ne
3$$\r\n
\ \r\n ≠\r\n 3\r\n
\ \r\n
we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic
flow on perpendicular one-forms at zero agrees with the first Betti number of
the manifold. Additionally, we prove that this equality is stable under small
perturbations of the Riemannian metric and simultaneous small perturbations of
the geodesic vector field within the class of contact vector fields. For more
general perturbations we get bounds on the multiplicity of the resonance zero
on all one-forms in terms of the first and zeroth Betti numbers. Furthermore,
we identify for hyperbolic manifolds further resonance spaces whose multiplicities
are given by higher Betti numbers.\r\n"
author:
- first_name: Benjamin
full_name: Küster, Benjamin
last_name: Küster
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. Communications
in Mathematical Physics. 2020;378(2):917-941. doi:10.1007/s00220-020-03793-2
apa: Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti
Numbers. Communications in Mathematical Physics, 378(2), 917–941.
https://doi.org/10.1007/s00220-020-03793-2
bibtex: '@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and
Betti Numbers}, volume={378}, DOI={10.1007/s00220-020-03793-2},
number={2}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias},
year={2020}, pages={917–941} }'
chicago: 'Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States
and Betti Numbers.” Communications in Mathematical Physics 378, no. 2 (2020):
917–41. https://doi.org/10.1007/s00220-020-03793-2.'
ieee: 'B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,”
Communications in Mathematical Physics, vol. 378, no. 2, pp. 917–941, 2020,
doi: 10.1007/s00220-020-03793-2.'
mla: Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti
Numbers.” Communications in Mathematical Physics, vol. 378, no. 2, Springer
Science and Business Media LLC, 2020, pp. 917–41, doi:10.1007/s00220-020-03793-2.
short: B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
date_created: 2024-04-11T12:33:03Z
date_updated: 2024-04-11T12:36:53Z
department:
- _id: '548'
doi: 10.1007/s00220-020-03793-2
intvolume: ' 378'
issue: '2'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 917-941
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- 0010-3616
- 1432-0916
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Pollicott-Ruelle Resonant States and Betti Numbers
type: journal_article
user_id: '70575'
volume: 378
year: '2020'
...
---
_id: '44685'
alternative_title:
- Vergleich zweier methodischer Zugänge
author:
- first_name: Jan
full_name: Schumacher, Jan
last_name: Schumacher
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: 'Schumacher J, Rezat S. Rekonstruktion diagrammatischen Schließens beim Erlernen
der Subtraktion negativer Zahlen. In: Kadunz G, ed. Zeichen Und Sprache Im
Mathematikunterricht: Semiotik in Theorie Und Praxis. Springer; 2020:85–112.
doi:10.1007/978-3-662-61194-4_5'
apa: 'Schumacher, J., & Rezat, S. (2020). Rekonstruktion diagrammatischen Schließens
beim Erlernen der Subtraktion negativer Zahlen. In G. Kadunz (Ed.), Zeichen
und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis (pp. 85–112).
Springer. https://doi.org/10.1007/978-3-662-61194-4_5'
bibtex: '@inbook{Schumacher_Rezat_2020, place={Berlin, Heidelberg}, title={Rekonstruktion
diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen}, DOI={10.1007/978-3-662-61194-4_5},
booktitle={Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und
Praxis}, publisher={Springer}, author={Schumacher, Jan and Rezat, Sebastian},
editor={Kadunz, Gert}, year={2020}, pages={85–112} }'
chicago: 'Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion Diagrammatischen
Schließens Beim Erlernen Der Subtraktion Negativer Zahlen.” In Zeichen Und
Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis, edited by
Gert Kadunz, 85–112. Berlin, Heidelberg: Springer, 2020. https://doi.org/10.1007/978-3-662-61194-4_5.'
ieee: 'J. Schumacher and S. Rezat, “Rekonstruktion diagrammatischen Schließens beim
Erlernen der Subtraktion negativer Zahlen,” in Zeichen und Sprache im Mathematikunterricht:
Semiotik in Theorie und Praxis, G. Kadunz, Ed. Berlin, Heidelberg: Springer,
2020, pp. 85–112.'
mla: 'Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion Diagrammatischen Schließens
Beim Erlernen Der Subtraktion Negativer Zahlen.” Zeichen Und Sprache Im Mathematikunterricht:
Semiotik in Theorie Und Praxis, edited by Gert Kadunz, Springer, 2020, pp.
85–112, doi:10.1007/978-3-662-61194-4_5.'
short: 'J. Schumacher, S. Rezat, in: G. Kadunz (Ed.), Zeichen Und Sprache Im Mathematikunterricht:
Semiotik in Theorie Und Praxis, Springer, Berlin, Heidelberg, 2020, pp. 85–112.'
date_created: 2023-05-09T13:47:49Z
date_updated: 2024-04-18T08:18:10Z
department:
- _id: '360'
doi: 10.1007/978-3-662-61194-4_5
editor:
- first_name: Gert
full_name: Kadunz, Gert
last_name: Kadunz
language:
- iso: eng
page: 85–112
place: Berlin, Heidelberg
publication: 'Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und
Praxis'
publication_identifier:
isbn:
- '9783662611937'
- '9783662611944'
publication_status: published
publisher: Springer
status: public
title: Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer
Zahlen
type: book_chapter
user_id: '31132'
year: '2020'
...
---
_id: '44688'
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: 'Rezat S. Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen
Individualisierung und Kooperation. In: Meister D, Ilka M, eds. Mobile Medien
Im Schulkontext. Springer; 2020. doi:10.1007/978-3-658-29039-9_10'
apa: Rezat, S. (2020). Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld
zwischen Individualisierung und Kooperation. In D. Meister & M. Ilka (Eds.),
Mobile Medien im Schulkontext. Springer. https://doi.org/10.1007/978-3-658-29039-9_10
bibtex: '@inbook{Rezat_2020, place={Wiesbaden}, title={Mathematiklernen mit digitalen
Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation}, DOI={10.1007/978-3-658-29039-9_10},
booktitle={Mobile Medien im Schulkontext}, publisher={Springer}, author={Rezat,
Sebastian}, editor={Meister, Dorothee and Ilka, Mindt}, year={2020} }'
chicago: 'Rezat, Sebastian. “Mathematiklernen Mit Digitalen Schulbüchern Im Spannungsfeld
Zwischen Individualisierung Und Kooperation.” In Mobile Medien Im Schulkontext,
edited by Dorothee Meister and Mindt Ilka. Wiesbaden: Springer, 2020. https://doi.org/10.1007/978-3-658-29039-9_10.'
ieee: 'S. Rezat, “Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen
Individualisierung und Kooperation,” in Mobile Medien im Schulkontext,
D. Meister and M. Ilka, Eds. Wiesbaden: Springer, 2020.'
mla: Rezat, Sebastian. “Mathematiklernen Mit Digitalen Schulbüchern Im Spannungsfeld
Zwischen Individualisierung Und Kooperation.” Mobile Medien Im Schulkontext,
edited by Dorothee Meister and Mindt Ilka, Springer, 2020, doi:10.1007/978-3-658-29039-9_10.
short: 'S. Rezat, in: D. Meister, M. Ilka (Eds.), Mobile Medien Im Schulkontext,
Springer, Wiesbaden, 2020.'
date_created: 2023-05-09T14:01:30Z
date_updated: 2024-04-18T08:24:04Z
department:
- _id: '360'
doi: 10.1007/978-3-658-29039-9_10
editor:
- first_name: Dorothee
full_name: Meister, Dorothee
last_name: Meister
- first_name: Mindt
full_name: Ilka, Mindt
last_name: Ilka
language:
- iso: eng
place: Wiesbaden
publication: Mobile Medien im Schulkontext
publication_identifier:
isbn:
- '9783658290382'
- '9783658290399'
issn:
- 2512-112X
- 2512-1146
publication_status: published
publisher: Springer
status: public
title: Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung
und Kooperation
type: book_chapter
user_id: '31132'
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: 2024-04-18T09:02:02Z
department:
- _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: 2024-04-18T09:01:51Z
department:
- _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: '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: 2024-04-18T09:15:00Z
department:
- _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: '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: 2024-04-18T09:17:59Z
department:
- _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: '35701'
author:
- first_name: Steffen
full_name: Lünne, Steffen
last_name: Lünne
- first_name: Susanne
full_name: Schnell, Susanne
last_name: Schnell
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Lünne S, Schnell S, Biehler R. Motivation of out-of-field teachers for participating
in professional development courses in mathematics. European Journal of Teacher
Education. 2020;44(5):688-705. doi:10.1080/02619768.2020.1793950
apa: Lünne, S., Schnell, S., & Biehler, R. (2020). Motivation of out-of-field
teachers for participating in professional development courses in mathematics.
European Journal of Teacher Education, 44(5), 688–705. https://doi.org/10.1080/02619768.2020.1793950
bibtex: '@article{Lünne_Schnell_Biehler_2020, title={Motivation of out-of-field
teachers for participating in professional development courses in mathematics},
volume={44}, DOI={10.1080/02619768.2020.1793950},
number={5}, journal={European Journal of Teacher Education}, publisher={Informa
UK Limited}, author={Lünne, Steffen and Schnell, Susanne and Biehler, Rolf}, year={2020},
pages={688–705} }'
chicago: 'Lünne, Steffen, Susanne Schnell, and Rolf Biehler. “Motivation of Out-of-Field
Teachers for Participating in Professional Development Courses in Mathematics.”
European Journal of Teacher Education 44, no. 5 (2020): 688–705. https://doi.org/10.1080/02619768.2020.1793950.'
ieee: 'S. Lünne, S. Schnell, and R. Biehler, “Motivation of out-of-field teachers
for participating in professional development courses in mathematics,” European
Journal of Teacher Education, vol. 44, no. 5, pp. 688–705, 2020, doi: 10.1080/02619768.2020.1793950.'
mla: Lünne, Steffen, et al. “Motivation of Out-of-Field Teachers for Participating
in Professional Development Courses in Mathematics.” European Journal of Teacher
Education, vol. 44, no. 5, Informa UK Limited, 2020, pp. 688–705, doi:10.1080/02619768.2020.1793950.
short: S. Lünne, S. Schnell, R. Biehler, European Journal of Teacher Education 44
(2020) 688–705.
date_created: 2023-01-10T09:08:17Z
date_updated: 2024-04-18T09:48:43Z
department:
- _id: '363'
doi: 10.1080/02619768.2020.1793950
intvolume: ' 44'
issue: '5'
keyword:
- Education
language:
- iso: eng
page: 688-705
publication: European Journal of Teacher Education
publication_identifier:
issn:
- 0261-9768
- 1469-5928
publication_status: published
publisher: Informa UK Limited
status: public
title: Motivation of out-of-field teachers for participating in professional development
courses in mathematics
type: journal_article
user_id: '37888'
volume: 44
year: '2020'
...
---
_id: '35808'
author:
- first_name: Bärbel
full_name: Barzel, Bärbel
last_name: Barzel
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Barzel B, Biehler R. Theory-Based Design of Professional Development for Upper
Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools. In:
Zehetmeier S, Potari D, Ribeiro M, eds. Professional Development and Knowledge
of Mathematics Teachers. Routledge; 2020:163–192.'
apa: Barzel, B., & Biehler, R. (2020). Theory-Based Design of Professional Development
for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools.
In S. Zehetmeier, D. Potari, & M. Ribeiro (Eds.), Professional development
and knowledge of mathematics teachers (pp. 163–192). Routledge.
bibtex: '@inbook{Barzel_Biehler_2020, place={London}, title={Theory-Based Design
of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific
Use of Digital Tools}, booktitle={Professional development and knowledge of mathematics
teachers}, publisher={Routledge}, author={Barzel, Bärbel and Biehler, Rolf}, editor={Zehetmeier,
Stefan and Potari, Despina and Ribeiro, Miguel}, year={2020}, pages={163–192}
}'
chicago: 'Barzel, Bärbel, and Rolf Biehler. “Theory-Based Design of Professional
Development for Upper Secondary Teachers–Focusing on the Content-Specific Use
of Digital Tools.” In Professional Development and Knowledge of Mathematics
Teachers, edited by Stefan Zehetmeier, Despina Potari, and Miguel Ribeiro,
163–192. London: Routledge, 2020.'
ieee: 'B. Barzel and R. Biehler, “Theory-Based Design of Professional Development
for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools,”
in Professional development and knowledge of mathematics teachers, S. Zehetmeier,
D. Potari, and M. Ribeiro, Eds. London: Routledge, 2020, pp. 163–192.'
mla: Barzel, Bärbel, and Rolf Biehler. “Theory-Based Design of Professional Development
for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools.”
Professional Development and Knowledge of Mathematics Teachers, edited
by Stefan Zehetmeier et al., Routledge, 2020, pp. 163–192.
short: 'B. Barzel, R. Biehler, in: S. Zehetmeier, D. Potari, M. Ribeiro (Eds.),
Professional Development and Knowledge of Mathematics Teachers, Routledge, London,
2020, pp. 163–192.'
date_created: 2023-01-10T11:09:37Z
date_updated: 2024-04-18T09:51:25Z
department:
- _id: '363'
editor:
- first_name: Stefan
full_name: Zehetmeier, Stefan
last_name: Zehetmeier
- first_name: Despina
full_name: Potari, Despina
last_name: Potari
- first_name: Miguel
full_name: Ribeiro, Miguel
last_name: Ribeiro
language:
- iso: eng
page: 163–192
place: London
publication: Professional development and knowledge of mathematics teachers
publication_identifier:
eisbn:
- '9781003008460'
publisher: Routledge
related_material:
link:
- relation: confirmation
url: https://www.taylorfrancis.com/chapters/edit/10.4324/9781003008460-10/theory-based-design-professional-development-upper-secondary-teachers-focusing-content-specific-use-digital-tools-b%C3%A4rbel-barzel-rolf-biehler
status: public
title: Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing
on the Content-Specific Use of Digital Tools
type: book_chapter
user_id: '37888'
year: '2020'
...
---
_id: '35822'
abstract:
- lang: eng
text: AbstractThe derivative concept plays a major
role in economics. However, its use in economics is very heterogeneous, sometimes
inconsistent, and contradicts students’ prior knowledge from school. This applies
in particular to the common economic interpretation of the derivative as the amount
of change while increasing the production by one unit. Hence, in calculus courses
for economics students, learners should acquire an understanding of the derivative
that is mathematically acceptable and connected to their prior knowledge, but
which also takes into account its practical use in economics. In this paper we
first develop a theoretical model describing such an understanding of the derivative
for economics students. We then present an exploratory study investigating the
extent to which economics students have such an understanding after their calculus
course. The results indicate that many of them might not have acquired this kind
of understanding, in particular concerning the common economic interpretation
of the derivative. The study furthermore yields possible gaps in students’ understanding
and possible misconceptions.
author:
- first_name: Frank
full_name: Feudel, Frank
last_name: Feudel
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Feudel F, Biehler R. Students’ Understanding of the Derivative Concept in the
Context of Mathematics for Economics. Journal für Mathematik-Didaktik.
2020;42(1):273-305. doi:10.1007/s13138-020-00174-z
apa: Feudel, F., & Biehler, R. (2020). Students’ Understanding of the Derivative
Concept in the Context of Mathematics for Economics. Journal Für Mathematik-Didaktik,
42(1), 273–305. https://doi.org/10.1007/s13138-020-00174-z
bibtex: '@article{Feudel_Biehler_2020, title={Students’ Understanding of the Derivative
Concept in the Context of Mathematics for Economics}, volume={42}, DOI={10.1007/s13138-020-00174-z},
number={1}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
and Business Media LLC}, author={Feudel, Frank and Biehler, Rolf}, year={2020},
pages={273–305} }'
chicago: 'Feudel, Frank, and Rolf Biehler. “Students’ Understanding of the Derivative
Concept in the Context of Mathematics for Economics.” Journal Für Mathematik-Didaktik
42, no. 1 (2020): 273–305. https://doi.org/10.1007/s13138-020-00174-z.'
ieee: 'F. Feudel and R. Biehler, “Students’ Understanding of the Derivative Concept
in the Context of Mathematics for Economics,” Journal für Mathematik-Didaktik,
vol. 42, no. 1, pp. 273–305, 2020, doi: 10.1007/s13138-020-00174-z.'
mla: Feudel, Frank, and Rolf Biehler. “Students’ Understanding of the Derivative
Concept in the Context of Mathematics for Economics.” Journal Für Mathematik-Didaktik,
vol. 42, no. 1, Springer Science and Business Media LLC, 2020, pp. 273–305, doi:10.1007/s13138-020-00174-z.
short: F. Feudel, R. Biehler, Journal Für Mathematik-Didaktik 42 (2020) 273–305.
date_created: 2023-01-10T11:45:46Z
date_updated: 2024-04-18T09:53:18Z
department:
- _id: '363'
doi: 10.1007/s13138-020-00174-z
intvolume: ' 42'
issue: '1'
keyword:
- Education
- General Mathematics
language:
- iso: eng
page: 273-305
publication: Journal für Mathematik-Didaktik
publication_identifier:
issn:
- 0173-5322
- 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Students’ Understanding of the Derivative Concept in the Context of Mathematics
for Economics
type: journal_article
user_id: '37888'
volume: 42
year: '2020'
...
---
_id: '35709'
author:
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Kempen L, Biehler R. Using Figurate Numbers in Elementary Number Theory – Discussing
a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology.
Frontiers in Psychology. 2020;11:1180. doi:10.3389/fpsyg.2020.01180
apa: Kempen, L., & Biehler, R. (2020). Using Figurate Numbers in Elementary
Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics
and Cognitive Psychology. Frontiers in Psychology, 11, 1180. https://doi.org/10.3389/fpsyg.2020.01180
bibtex: '@article{Kempen_Biehler_2020, title={Using Figurate Numbers in Elementary
Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics
and Cognitive Psychology}, volume={11}, DOI={10.3389/fpsyg.2020.01180},
journal={Frontiers in Psychology}, publisher={Frontiers Media SA}, author={Kempen,
Leander and Biehler, Rolf}, year={2020}, pages={1180} }'
chicago: 'Kempen, Leander, and Rolf Biehler. “Using Figurate Numbers in Elementary
Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics
and Cognitive Psychology.” Frontiers in Psychology 11 (2020): 1180. https://doi.org/10.3389/fpsyg.2020.01180.'
ieee: 'L. Kempen and R. Biehler, “Using Figurate Numbers in Elementary Number Theory
– Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive
Psychology,” Frontiers in Psychology, vol. 11, p. 1180, 2020, doi: 10.3389/fpsyg.2020.01180.'
mla: Kempen, Leander, and Rolf Biehler. “Using Figurate Numbers in Elementary Number
Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and
Cognitive Psychology.” Frontiers in Psychology, vol. 11, Frontiers Media
SA, 2020, p. 1180, doi:10.3389/fpsyg.2020.01180.
short: L. Kempen, R. Biehler, Frontiers in Psychology 11 (2020) 1180.
date_created: 2023-01-10T09:13:13Z
date_updated: 2024-04-18T09:57:09Z
department:
- _id: '363'
doi: 10.3389/fpsyg.2020.01180
intvolume: ' 11'
keyword:
- General Psychology
language:
- iso: eng
page: '1180'
publication: Frontiers in Psychology
publication_identifier:
issn:
- 1664-1078
publication_status: published
publisher: Frontiers Media SA
status: public
title: Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’
Heuristic From the Perspectives of Semiotics and Cognitive Psychology
type: journal_article
user_id: '37888'
volume: 11
year: '2020'
...
---
_id: '35827'
author:
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
- first_name: Sandra
full_name: Krämer, Sandra
last_name: Krämer
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Kempen L, Krämer S, Biehler R. Was verstehen Schülerinnen und Schüler unter
„Beweis“? – ausgewählte Ergebnisse einer Pilotstudie. In: Siller H-S, Weigel W,
Wörler JF, eds. Beiträge zum Mathematikunterricht 2020. WTM-Verlag; 2020:489-492.
doi:10.17877/DE290R-21418'
apa: Kempen, L., Krämer, S., & Biehler, R. (2020). Was verstehen Schülerinnen
und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie. In H.-S.
Siller, W. Weigel, & J. F. Wörler (Eds.), Beiträge zum Mathematikunterricht
2020 (pp. 489–492). WTM-Verlag. https://doi.org/10.17877/DE290R-21418
bibtex: '@inbook{Kempen_Krämer_Biehler_2020, place={Münster}, title={Was verstehen
Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie},
DOI={10.17877/DE290R-21418},
booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Kempen,
Leander and Krämer, Sandra and Biehler, Rolf}, editor={Siller, H.-S. and Weigel,
W. and Wörler, J. F.}, year={2020}, pages={489–492} }'
chicago: 'Kempen, Leander, Sandra Krämer, and Rolf Biehler. “Was verstehen Schülerinnen
und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie.” In Beiträge
zum Mathematikunterricht 2020, edited by H.-S. Siller, W. Weigel, and J. F.
Wörler, 489–92. Münster: WTM-Verlag, 2020. https://doi.org/10.17877/DE290R-21418.'
ieee: 'L. Kempen, S. Krämer, and R. Biehler, “Was verstehen Schülerinnen und Schüler
unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie,” in Beiträge zum
Mathematikunterricht 2020, H.-S. Siller, W. Weigel, and J. F. Wörler, Eds.
Münster: WTM-Verlag, 2020, pp. 489–492.'
mla: Kempen, Leander, et al. “Was verstehen Schülerinnen und Schüler unter „Beweis“?
– ausgewählte Ergebnisse einer Pilotstudie.” Beiträge zum Mathematikunterricht
2020, edited by H.-S. Siller et al., WTM-Verlag, 2020, pp. 489–92, doi:10.17877/DE290R-21418.
short: 'L. Kempen, S. Krämer, R. Biehler, in: H.-S. Siller, W. Weigel, J.F. Wörler
(Eds.), Beiträge zum Mathematikunterricht 2020, WTM-Verlag, Münster, 2020, pp.
489–492.'
date_created: 2023-01-10T11:53:40Z
date_updated: 2024-04-18T09:57:55Z
department:
- _id: '363'
doi: 10.17877/DE290R-21418
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
page: 489-492
place: Münster
publication: Beiträge zum Mathematikunterricht 2020
publisher: WTM-Verlag
status: public
title: Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse
einer Pilotstudie
type: book_chapter
user_id: '37888'
year: '2020'
...