---
_id: '45391'
author:
- first_name: R.
  full_name: Delucchi, R.
  last_name: Delucchi
- first_name: P.
  full_name: Neugebauer, P.
  last_name: Neugebauer
- first_name: Jennifer
  full_name: Dröse, Jennifer
  id: '85820'
  last_name: Dröse
- first_name: Susanne
  full_name: Prediger, Susanne
  last_name: Prediger
- first_name: B.
  full_name: Mertins, B.
  last_name: Mertins
citation:
  ama: 'Delucchi R, Neugebauer P, Dröse J, Prediger S, Mertins B. Eye-Tracking-Studie
    zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5. In: Frank A,
    Krauss S, Binder K, eds. <i>Beiträge zum Mathematikunterricht 2019 </i>. WTM;
    2019:1239-1242.'
  apa: Delucchi, R., Neugebauer, P., Dröse, J., Prediger, S., &#38; Mertins, B. (2019).
    Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse
    5. In A. Frank, S. Krauss, &#38; K. Binder (Eds.), <i>Beiträge zum Mathematikunterricht
    2019 </i> (pp. 1239–1242). WTM.
  bibtex: '@inproceedings{Delucchi_Neugebauer_Dröse_Prediger_Mertins_2019, place={Münster},
    title={Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben
    der Klasse 5}, booktitle={Beiträge zum Mathematikunterricht 2019 }, publisher={WTM},
    author={Delucchi, R. and Neugebauer, P. and Dröse, Jennifer and Prediger, Susanne
    and Mertins, B.}, editor={Frank, A. and Krauss, S. and Binder, K.}, year={2019},
    pages={1239–1242} }'
  chicago: 'Delucchi, R., P. Neugebauer, Jennifer Dröse, Susanne Prediger, and B.
    Mertins. “Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben
    der Klasse 5.” In <i>Beiträge zum Mathematikunterricht 2019 </i>, edited by A.
    Frank, S. Krauss, and K. Binder, 1239–42. Münster: WTM, 2019.'
  ieee: R. Delucchi, P. Neugebauer, J. Dröse, S. Prediger, and B. Mertins, “Eye-Tracking-Studie
    zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5,” in <i>Beiträge
    zum Mathematikunterricht 2019 </i>, 2019, pp. 1239–1242.
  mla: Delucchi, R., et al. “Eye-Tracking-Studie zum Erfassen von Referenzstrukturen
    in Textaufgaben der Klasse 5.” <i>Beiträge zum Mathematikunterricht 2019 </i>,
    edited by A. Frank et al., WTM, 2019, pp. 1239–42.
  short: 'R. Delucchi, P. Neugebauer, J. Dröse, S. Prediger, B. Mertins, in: A. Frank,
    S. Krauss, K. Binder (Eds.), Beiträge zum Mathematikunterricht 2019 , WTM, Münster,
    2019, pp. 1239–1242.'
date_created: 2023-05-31T08:10:11Z
date_updated: 2023-11-02T08:10:18Z
department:
- _id: '98'
editor:
- first_name: A.
  full_name: Frank, A.
  last_name: Frank
- first_name: S.
  full_name: Krauss, S.
  last_name: Krauss
- first_name: K.
  full_name: Binder, K.
  last_name: Binder
extern: '1'
language:
- iso: ger
page: 1239-1242
place: Münster
publication: 'Beiträge zum Mathematikunterricht 2019 '
publisher: WTM
status: public
title: Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der
  Klasse 5
type: conference
user_id: '85820'
year: '2019'
...
---
_id: '16708'
abstract:
- lang: eng
  text: " In this work we extend the novel framework developed by Dellnitz, Hessel-von
    Molo, and Ziessler to\r\nthe computation of finite dimensional unstable manifolds
    of infinite dimensional dynamical systems.\r\nTo this end, we adapt a set-oriented
    continuation technique developed by Dellnitz and Hohmann for\r\nthe computation
    of such objects of finite dimensional systems with the results obtained in the
    work\r\nof Dellnitz, Hessel-von Molo, and Ziessler. We show how to implement this
    approach for the analysis\r\nof partial differential equations and illustrate
    its feasibility by computing unstable manifolds of the\r\none-dimensional Kuramoto--Sivashinsky
    equation as well as for the Mackey--Glass delay differential\r\nequation.\r\n"
author:
- first_name: Adrian
  full_name: Ziessler, Adrian
  last_name: Ziessler
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Raphael
  full_name: Gerlach, Raphael
  id: '32655'
  last_name: Gerlach
citation:
  ama: Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds
    for Infinite Dimensional Dynamical Systems by Embedding Techniques. <i>SIAM Journal
    on Applied Dynamical Systems</i>. 2019;18(3):1265-1292. doi:<a href="https://doi.org/10.1137/18m1204395">10.1137/18m1204395</a>
  apa: Ziessler, A., Dellnitz, M., &#38; Gerlach, R. (2019). The Numerical Computation
    of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding
    Techniques. <i>SIAM Journal on Applied Dynamical Systems</i>, <i>18</i>(3), 1265–1292.
    <a href="https://doi.org/10.1137/18m1204395">https://doi.org/10.1137/18m1204395</a>
  bibtex: '@article{Ziessler_Dellnitz_Gerlach_2019, title={The Numerical Computation
    of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding
    Techniques}, volume={18}, DOI={<a href="https://doi.org/10.1137/18m1204395">10.1137/18m1204395</a>},
    number={3}, journal={SIAM Journal on Applied Dynamical Systems}, author={Ziessler,
    Adrian and Dellnitz, Michael and Gerlach, Raphael}, year={2019}, pages={1265–1292}
    }'
  chicago: 'Ziessler, Adrian, Michael Dellnitz, and Raphael Gerlach. “The Numerical
    Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by
    Embedding Techniques.” <i>SIAM Journal on Applied Dynamical Systems</i> 18, no.
    3 (2019): 1265–92. <a href="https://doi.org/10.1137/18m1204395">https://doi.org/10.1137/18m1204395</a>.'
  ieee: 'A. Ziessler, M. Dellnitz, and R. Gerlach, “The Numerical Computation of Unstable
    Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques,”
    <i>SIAM Journal on Applied Dynamical Systems</i>, vol. 18, no. 3, pp. 1265–1292,
    2019, doi: <a href="https://doi.org/10.1137/18m1204395">10.1137/18m1204395</a>.'
  mla: Ziessler, Adrian, et al. “The Numerical Computation of Unstable Manifolds for
    Infinite Dimensional Dynamical Systems by Embedding Techniques.” <i>SIAM Journal
    on Applied Dynamical Systems</i>, vol. 18, no. 3, 2019, pp. 1265–92, doi:<a href="https://doi.org/10.1137/18m1204395">10.1137/18m1204395</a>.
  short: A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems
    18 (2019) 1265–1292.
date_created: 2020-04-16T14:04:20Z
date_updated: 2023-11-17T13:13:09Z
department:
- _id: '101'
doi: 10.1137/18m1204395
intvolume: '        18'
issue: '3'
language:
- iso: eng
main_file_link:
- url: https://epubs.siam.org/doi/epdf/10.1137/18M1204395
page: 1265-1292
publication: SIAM Journal on Applied Dynamical Systems
publication_identifier:
  issn:
  - 1536-0040
publication_status: published
status: public
title: The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical
  Systems by Embedding Techniques
type: journal_article
user_id: '32655'
volume: 18
year: '2019'
...
---
_id: '34917'
abstract:
- lang: eng
  text: We relate proper isometry classes of maximal lattices in a totally definite
    quaternary quadratic space (V,q) with trivial discriminant to certain equivalence
    classes of ideals in the quaternion algebra representing the Clifford invariant
    of (V,q). This yields a good algorithm to enumerate a system of representatives
    of proper isometry classes of lattices in genera of maximal lattices in (V,q).
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: Gabriele
  full_name: Nebe, Gabriele
  last_name: Nebe
citation:
  ama: Kirschmer M, Nebe G. Quaternary quadratic lattices over number fields. <i>International
    Journal of Number Theory</i>. 2019;15(02):309-325. doi:<a href="https://doi.org/10.1142/s1793042119500131">10.1142/s1793042119500131</a>
  apa: Kirschmer, M., &#38; Nebe, G. (2019). Quaternary quadratic lattices over number
    fields. <i>International Journal of Number Theory</i>, <i>15</i>(02), 309–325.
    <a href="https://doi.org/10.1142/s1793042119500131">https://doi.org/10.1142/s1793042119500131</a>
  bibtex: '@article{Kirschmer_Nebe_2019, title={Quaternary quadratic lattices over
    number fields}, volume={15}, DOI={<a href="https://doi.org/10.1142/s1793042119500131">10.1142/s1793042119500131</a>},
    number={02}, journal={International Journal of Number Theory}, publisher={World
    Scientific Pub Co Pte Lt}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2019},
    pages={309–325} }'
  chicago: 'Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over
    Number Fields.” <i>International Journal of Number Theory</i> 15, no. 02 (2019):
    309–25. <a href="https://doi.org/10.1142/s1793042119500131">https://doi.org/10.1142/s1793042119500131</a>.'
  ieee: 'M. Kirschmer and G. Nebe, “Quaternary quadratic lattices over number fields,”
    <i>International Journal of Number Theory</i>, vol. 15, no. 02, pp. 309–325, 2019,
    doi: <a href="https://doi.org/10.1142/s1793042119500131">10.1142/s1793042119500131</a>.'
  mla: Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over Number
    Fields.” <i>International Journal of Number Theory</i>, vol. 15, no. 02, World
    Scientific Pub Co Pte Lt, 2019, pp. 309–25, doi:<a href="https://doi.org/10.1142/s1793042119500131">10.1142/s1793042119500131</a>.
  short: M. Kirschmer, G. Nebe, International Journal of Number Theory 15 (2019) 309–325.
date_created: 2022-12-23T11:05:09Z
date_updated: 2023-12-06T10:05:59Z
department:
- _id: '102'
doi: 10.1142/s1793042119500131
intvolume: '        15'
issue: '02'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 309-325
publication: International Journal of Number Theory
publication_identifier:
  issn:
  - 1793-0421
  - 1793-7310
publication_status: published
publisher: World Scientific Pub Co Pte Lt
status: public
title: Quaternary quadratic lattices over number fields
type: journal_article
user_id: '82258'
volume: 15
year: '2019'
...
---
_id: '34916'
abstract:
- lang: eng
  text: We describe the powers of irreducible polynomials occurring as characteristic
    polynomials of automorphisms of even unimodular lattices over number fields. This
    generalizes results of Gross & McMullen and Bayer-Fluckiger & Taelman.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
citation:
  ama: Kirschmer M. Automorphisms of even unimodular lattices over number fields.
    <i>Journal of Number Theory</i>. 2019;197:121-134. doi:<a href="https://doi.org/10.1016/j.jnt.2018.08.004">10.1016/j.jnt.2018.08.004</a>
  apa: Kirschmer, M. (2019). Automorphisms of even unimodular lattices over number
    fields. <i>Journal of Number Theory</i>, <i>197</i>, 121–134. <a href="https://doi.org/10.1016/j.jnt.2018.08.004">https://doi.org/10.1016/j.jnt.2018.08.004</a>
  bibtex: '@article{Kirschmer_2019, title={Automorphisms of even unimodular lattices
    over number fields}, volume={197}, DOI={<a href="https://doi.org/10.1016/j.jnt.2018.08.004">10.1016/j.jnt.2018.08.004</a>},
    journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer,
    Markus}, year={2019}, pages={121–134} }'
  chicago: 'Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number
    Fields.” <i>Journal of Number Theory</i> 197 (2019): 121–34. <a href="https://doi.org/10.1016/j.jnt.2018.08.004">https://doi.org/10.1016/j.jnt.2018.08.004</a>.'
  ieee: 'M. Kirschmer, “Automorphisms of even unimodular lattices over number fields,”
    <i>Journal of Number Theory</i>, vol. 197, pp. 121–134, 2019, doi: <a href="https://doi.org/10.1016/j.jnt.2018.08.004">10.1016/j.jnt.2018.08.004</a>.'
  mla: Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.”
    <i>Journal of Number Theory</i>, vol. 197, Elsevier BV, 2019, pp. 121–34, doi:<a
    href="https://doi.org/10.1016/j.jnt.2018.08.004">10.1016/j.jnt.2018.08.004</a>.
  short: M. Kirschmer, Journal of Number Theory 197 (2019) 121–134.
date_created: 2022-12-23T11:04:34Z
date_updated: 2023-12-06T10:07:17Z
department:
- _id: '102'
doi: 10.1016/j.jnt.2018.08.004
intvolume: '       197'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 121-134
publication: Journal of Number Theory
publication_identifier:
  issn:
  - 0022-314X
publication_status: published
publisher: Elsevier BV
status: public
title: Automorphisms of even unimodular lattices over number fields
type: journal_article
user_id: '82258'
volume: 197
year: '2019'
...
---
_id: '31302'
author:
- first_name: Philipp
  full_name: Schütte, Philipp
  id: '50168'
  last_name: Schütte
citation:
  ama: Schütte P. <i>Numerically Investigating Residues of Weighted Zeta Functions
    on Schottky Surfaces</i>.; 2019.
  apa: Schütte, P. (2019). <i>Numerically Investigating Residues of Weighted Zeta
    Functions on Schottky Surfaces</i>.
  bibtex: '@book{Schütte_2019, title={Numerically Investigating Residues of Weighted
    Zeta Functions on Schottky Surfaces}, author={Schütte, Philipp}, year={2019} }'
  chicago: Schütte, Philipp. <i>Numerically Investigating Residues of Weighted Zeta
    Functions on Schottky Surfaces</i>, 2019.
  ieee: P. Schütte, <i>Numerically Investigating Residues of Weighted Zeta Functions
    on Schottky Surfaces</i>. 2019.
  mla: Schütte, Philipp. <i>Numerically Investigating Residues of Weighted Zeta Functions
    on Schottky Surfaces</i>. 2019.
  short: P. Schütte, Numerically Investigating Residues of Weighted Zeta Functions
    on Schottky Surfaces, 2019.
date_created: 2022-05-17T13:41:53Z
date_updated: 2024-02-19T06:21:23Z
department:
- _id: '548'
language:
- iso: eng
status: public
supervisor:
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
title: Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces
type: mastersthesis
user_id: '49063'
year: '2019'
...
---
_id: '51387'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: A.
  full_name: Parthasarathy, A.
  last_name: Parthasarathy
- first_name: S.
  full_name: Hansen, S.
  last_name: Hansen
citation:
  ama: Hilgert J, Parthasarathy A, Hansen S. Resonances and Scattering Poles in Symmetric
    Spaces of Rank One. <i>Inter Math Research Notices</i>. 2019;20:6362-6389.
  apa: Hilgert, J., Parthasarathy, A., &#38; Hansen, S. (2019). Resonances and Scattering
    Poles in Symmetric Spaces of Rank One. <i>Inter. Math. Research Notices</i>, <i>20</i>,
    6362–6389.
  bibtex: '@article{Hilgert_Parthasarathy_Hansen_2019, title={Resonances and Scattering
    Poles in Symmetric Spaces of Rank One}, volume={20}, journal={Inter. Math. Research
    Notices}, author={Hilgert, Joachim and Parthasarathy, A. and Hansen, S.}, year={2019},
    pages={6362–6389} }'
  chicago: 'Hilgert, Joachim, A. Parthasarathy, and S. Hansen. “Resonances and Scattering
    Poles in Symmetric Spaces of Rank One.” <i>Inter. Math. Research Notices</i> 20
    (2019): 6362–89.'
  ieee: J. Hilgert, A. Parthasarathy, and S. Hansen, “Resonances and Scattering Poles
    in Symmetric Spaces of Rank One,” <i>Inter. Math. Research Notices</i>, vol. 20,
    pp. 6362–6389, 2019.
  mla: Hilgert, Joachim, et al. “Resonances and Scattering Poles in Symmetric Spaces
    of Rank One.” <i>Inter. Math. Research Notices</i>, vol. 20, 2019, pp. 6362–89.
  short: J. Hilgert, A. Parthasarathy, S. Hansen, Inter. Math. Research Notices 20
    (2019) 6362–6389.
date_created: 2024-02-19T06:38:19Z
date_updated: 2024-02-19T06:40:10Z
department:
- _id: '91'
intvolume: '        20'
language:
- iso: eng
page: 6362-6389
publication: Inter. Math. Research Notices
publication_status: published
status: public
title: Resonances and Scattering Poles in Symmetric Spaces of Rank One
type: journal_article
user_id: '49063'
volume: 20
year: '2019'
...
---
_id: '51568'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix
    Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European
    Mathematical Society 2015. <i>Mathematische Semesterberichte</i>. 2019;66:247–249.
    doi:<a href="https://doi.org/10.1007/s00591-018-0233-8">10.1007/s00591-018-0233-8</a>'
  apa: 'Hilgert, J. (2019). Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie
    and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics.
    European Mathematical Society 2015. In <i>Mathematische Semesterberichte</i> (Vol.
    66, pp. 247–249). <a href="https://doi.org/10.1007/s00591-018-0233-8">https://doi.org/10.1007/s00591-018-0233-8</a>'
  bibtex: '@article{Hilgert_2019, title={Lizhen Ji und Athanase Papadopoulos (Hrsg.):
    Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics
    and Physics. European Mathematical Society 2015}, volume={66}, DOI={<a href="https://doi.org/10.1007/s00591-018-0233-8">10.1007/s00591-018-0233-8</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2019},
    pages={247–249} }'
  chicago: 'Hilgert, Joachim. “Lizhen Ji Und Athanase Papadopoulos (Hrsg.): Sophus
    Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics.
    European Mathematical Society 2015.” <i>Mathematische Semesterberichte</i>, 2019.
    <a href="https://doi.org/10.1007/s00591-018-0233-8">https://doi.org/10.1007/s00591-018-0233-8</a>.'
  ieee: 'J. Hilgert, “Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and
    Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European
    Mathematical Society 2015,” <i>Mathematische Semesterberichte</i>, vol. 66. pp.
    247–249, 2019, doi: <a href="https://doi.org/10.1007/s00591-018-0233-8">10.1007/s00591-018-0233-8</a>.'
  mla: 'Hilgert, Joachim. “Lizhen Ji Und Athanase Papadopoulos (Hrsg.): Sophus Lie
    and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics.
    European Mathematical Society 2015.” <i>Mathematische Semesterberichte</i>, vol.
    66, 2019, pp. 247–249, doi:<a href="https://doi.org/10.1007/s00591-018-0233-8">10.1007/s00591-018-0233-8</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 66 (2019) 247–249.
date_created: 2024-02-20T10:11:29Z
date_updated: 2024-02-20T10:11:36Z
department:
- _id: '91'
doi: 10.1007/s00591-018-0233-8
intvolume: '        66'
language:
- iso: eng
page: 247–249
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The
  Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical
  Society 2015'
type: review
user_id: '49063'
volume: 66
year: '2019'
...
---
_id: '51566'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Brian W. Kernighan: Millions billions zillions – defending yourself
    in a world of too many numbers. Princeton University Press 2018. <i>Mathematische
    Semesterberichte</i>. 2019;66:261–262. doi:<a href="https://doi.org/10.1007/s00591-019-00251-6">10.1007/s00591-019-00251-6</a>'
  apa: 'Hilgert, J. (2019). Brian W. Kernighan: Millions billions zillions – defending
    yourself in a world of too many numbers. Princeton University Press 2018. In <i>Mathematische
    Semesterberichte</i> (Vol. 66, pp. 261–262). <a href="https://doi.org/10.1007/s00591-019-00251-6">https://doi.org/10.1007/s00591-019-00251-6</a>'
  bibtex: '@article{Hilgert_2019, title={Brian W. Kernighan: Millions billions zillions
    – defending yourself in a world of too many numbers. Princeton University Press
    2018}, volume={66}, DOI={<a href="https://doi.org/10.1007/s00591-019-00251-6">10.1007/s00591-019-00251-6</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2019},
    pages={261–262} }'
  chicago: 'Hilgert, Joachim. “Brian W. Kernighan: Millions Billions Zillions – Defending
    Yourself in a World of Too Many Numbers. Princeton University Press 2018.” <i>Mathematische
    Semesterberichte</i>, 2019. <a href="https://doi.org/10.1007/s00591-019-00251-6">https://doi.org/10.1007/s00591-019-00251-6</a>.'
  ieee: 'J. Hilgert, “Brian W. Kernighan: Millions billions zillions – defending yourself
    in a world of too many numbers. Princeton University Press 2018,” <i>Mathematische
    Semesterberichte</i>, vol. 66. pp. 261–262, 2019, doi: <a href="https://doi.org/10.1007/s00591-019-00251-6">10.1007/s00591-019-00251-6</a>.'
  mla: 'Hilgert, Joachim. “Brian W. Kernighan: Millions Billions Zillions – Defending
    Yourself in a World of Too Many Numbers. Princeton University Press 2018.” <i>Mathematische
    Semesterberichte</i>, vol. 66, 2019, pp. 261–262, doi:<a href="https://doi.org/10.1007/s00591-019-00251-6">10.1007/s00591-019-00251-6</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 66 (2019) 261–262.
date_created: 2024-02-20T10:08:33Z
date_updated: 2024-02-20T10:11:40Z
department:
- _id: '91'
doi: 10.1007/s00591-019-00251-6
intvolume: '        66'
language:
- iso: eng
page: 261–262
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Brian W. Kernighan: Millions billions zillions – defending yourself in a world
  of too many numbers. Princeton University Press 2018'
type: review
user_id: '49063'
volume: 66
year: '2019'
...
---
_id: '51567'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von
    der Kraft des mathematischen Beweises (Springer 2018). <i>Mathematische Semesterberichte
    </i>. 2019;66:257–258. doi:<a href="https://doi.org/10.1007/s00591-018-0234-7">10.1007/s00591-018-0234-7</a>'
  apa: 'Hilgert, J. (2019). Joseph Honerkamp: Denken in Strukturen und seine Geschichte
    – Von der Kraft des mathematischen Beweises (Springer 2018). In <i>Mathematische
    Semesterberichte </i> (Vol. 66, pp. 257–258). <a href="https://doi.org/10.1007/s00591-018-0234-7">https://doi.org/10.1007/s00591-018-0234-7</a>'
  bibtex: '@article{Hilgert_2019, title={Joseph Honerkamp: Denken in Strukturen und
    seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018)},
    volume={66}, DOI={<a href="https://doi.org/10.1007/s00591-018-0234-7">10.1007/s00591-018-0234-7</a>},
    journal={Mathematische Semesterberichte }, author={Hilgert, Joachim}, year={2019},
    pages={257–258} }'
  chicago: 'Hilgert, Joachim. “Joseph Honerkamp: Denken in Strukturen und seine Geschichte
    – Von der Kraft des mathematischen Beweises (Springer 2018).” <i>Mathematische
    Semesterberichte </i>, 2019. <a href="https://doi.org/10.1007/s00591-018-0234-7">https://doi.org/10.1007/s00591-018-0234-7</a>.'
  ieee: 'J. Hilgert, “Joseph Honerkamp: Denken in Strukturen und seine Geschichte
    – Von der Kraft des mathematischen Beweises (Springer 2018),” <i>Mathematische
    Semesterberichte </i>, vol. 66. pp. 257–258, 2019, doi: <a href="https://doi.org/10.1007/s00591-018-0234-7">10.1007/s00591-018-0234-7</a>.'
  mla: 'Hilgert, Joachim. “Joseph Honerkamp: Denken in Strukturen und seine Geschichte
    – Von der Kraft des mathematischen Beweises (Springer 2018).” <i>Mathematische
    Semesterberichte </i>, vol. 66, 2019, pp. 257–258, doi:<a href="https://doi.org/10.1007/s00591-018-0234-7">10.1007/s00591-018-0234-7</a>.'
  short: J. Hilgert, Mathematische Semesterberichte  66 (2019) 257–258.
date_created: 2024-02-20T10:09:41Z
date_updated: 2024-02-20T10:09:45Z
department:
- _id: '91'
doi: 10.1007/s00591-018-0234-7
intvolume: '        66'
language:
- iso: ger
page: 257–258
publication: 'Mathematische Semesterberichte '
publication_status: published
status: public
title: 'Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft
  des mathematischen Beweises (Springer 2018)'
type: review
user_id: '49063'
volume: 66
year: '2019'
...
---
_id: '51569'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Øystein Linnebo: Philosophy of Mathematics (Princeton University
    Press 2017). <i>Mathematische Semesterberichte</i>. 2019;66:127-129. doi:<a href="https://doi.org/10.1007/s00591-018-0226-7">10.1007/s00591-018-0226-7</a>'
  apa: 'Hilgert, J. (2019). Øystein Linnebo: Philosophy of Mathematics (Princeton
    University Press 2017). In <i>Mathematische Semesterberichte</i> (Vol. 66, pp.
    127–129). <a href="https://doi.org/10.1007/s00591-018-0226-7">https://doi.org/10.1007/s00591-018-0226-7</a>'
  bibtex: '@article{Hilgert_2019, title={Øystein Linnebo: Philosophy of Mathematics
    (Princeton University Press 2017)}, volume={66}, DOI={<a href="https://doi.org/10.1007/s00591-018-0226-7">10.1007/s00591-018-0226-7</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2019},
    pages={127–129} }'
  chicago: 'Hilgert, Joachim. “Øystein Linnebo: Philosophy of Mathematics (Princeton
    University Press 2017).” <i>Mathematische Semesterberichte</i>, 2019. <a href="https://doi.org/10.1007/s00591-018-0226-7">https://doi.org/10.1007/s00591-018-0226-7</a>.'
  ieee: 'J. Hilgert, “Øystein Linnebo: Philosophy of Mathematics (Princeton University
    Press 2017),” <i>Mathematische Semesterberichte</i>, vol. 66. pp. 127–129, 2019,
    doi: <a href="https://doi.org/10.1007/s00591-018-0226-7">10.1007/s00591-018-0226-7</a>.'
  mla: 'Hilgert, Joachim. “Øystein Linnebo: Philosophy of Mathematics (Princeton University
    Press 2017).” <i>Mathematische Semesterberichte</i>, vol. 66, 2019, pp. 127–29,
    doi:<a href="https://doi.org/10.1007/s00591-018-0226-7">10.1007/s00591-018-0226-7</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 66 (2019) 127–129.
date_created: 2024-02-20T10:12:36Z
date_updated: 2024-02-20T10:12:40Z
department:
- _id: '91'
doi: 10.1007/s00591-018-0226-7
intvolume: '        66'
language:
- iso: eng
page: 127-129
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017)'
type: review
user_id: '49063'
volume: 66
year: '2019'
...
---
_id: '51565'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer
    2017. <i>Mathematische Semesterberichte</i>. 2019;66:263–264. doi:<a href="https://doi.org/10.1007/s00591-019-00247-2">10.1007/s00591-019-00247-2</a>'
  apa: 'Hilgert, J. (2019). Jost-Hinrich Eschenburg: Sternstunden der Mathematik.
    Springer 2017. In <i>Mathematische Semesterberichte</i> (Vol. 66, pp. 263–264).
    <a href="https://doi.org/10.1007/s00591-019-00247-2">https://doi.org/10.1007/s00591-019-00247-2</a>'
  bibtex: '@article{Hilgert_2019, title={Jost-Hinrich Eschenburg: Sternstunden der
    Mathematik. Springer 2017}, volume={66}, DOI={<a href="https://doi.org/10.1007/s00591-019-00247-2">10.1007/s00591-019-00247-2</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2019},
    pages={263–264} }'
  chicago: 'Hilgert, Joachim. “Jost-Hinrich Eschenburg: Sternstunden der Mathematik.
    Springer 2017.” <i>Mathematische Semesterberichte</i>, 2019. <a href="https://doi.org/10.1007/s00591-019-00247-2">https://doi.org/10.1007/s00591-019-00247-2</a>.'
  ieee: 'J. Hilgert, “Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer
    2017,” <i>Mathematische Semesterberichte</i>, vol. 66. pp. 263–264, 2019, doi:
    <a href="https://doi.org/10.1007/s00591-019-00247-2">10.1007/s00591-019-00247-2</a>.'
  mla: 'Hilgert, Joachim. “Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer
    2017.” <i>Mathematische Semesterberichte</i>, vol. 66, 2019, pp. 263–264, doi:<a
    href="https://doi.org/10.1007/s00591-019-00247-2">10.1007/s00591-019-00247-2</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 66 (2019) 263–264.
date_created: 2024-02-20T10:07:28Z
date_updated: 2024-02-20T10:10:20Z
department:
- _id: '91'
doi: 10.1007/s00591-019-00247-2
intvolume: '        66'
language:
- iso: ger
page: 263–264
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017'
type: review
user_id: '49063'
volume: 66
year: '2019'
...
---
_id: '45948'
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 evolving finite element algorithm for
    mean curvature flow of closed surfaces. <i>Numerische Mathematik</i>. 2019;143(4):797-853.
    doi:<a href="https://doi.org/10.1007/s00211-019-01074-2">10.1007/s00211-019-01074-2</a>
  apa: Kovács, B., Li, B., &#38; Lubich, C. (2019). A convergent evolving finite element
    algorithm for mean curvature flow of closed surfaces. <i>Numerische Mathematik</i>,
    <i>143</i>(4), 797–853. <a href="https://doi.org/10.1007/s00211-019-01074-2">https://doi.org/10.1007/s00211-019-01074-2</a>
  bibtex: '@article{Kovács_Li_Lubich_2019, title={A convergent evolving finite element
    algorithm for mean curvature flow of closed surfaces}, volume={143}, DOI={<a href="https://doi.org/10.1007/s00211-019-01074-2">10.1007/s00211-019-01074-2</a>},
    number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2019},
    pages={797–853} }'
  chicago: 'Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving
    Finite Element Algorithm for Mean Curvature Flow of Closed Surfaces.” <i>Numerische
    Mathematik</i> 143, no. 4 (2019): 797–853. <a href="https://doi.org/10.1007/s00211-019-01074-2">https://doi.org/10.1007/s00211-019-01074-2</a>.'
  ieee: 'B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm
    for mean curvature flow of closed surfaces,” <i>Numerische Mathematik</i>, vol.
    143, no. 4, pp. 797–853, 2019, doi: <a href="https://doi.org/10.1007/s00211-019-01074-2">10.1007/s00211-019-01074-2</a>.'
  mla: Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for
    Mean Curvature Flow of Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 143,
    no. 4, Springer Science and Business Media LLC, 2019, pp. 797–853, doi:<a href="https://doi.org/10.1007/s00211-019-01074-2">10.1007/s00211-019-01074-2</a>.
  short: B. Kovács, B. Li, C. Lubich, Numerische Mathematik 143 (2019) 797–853.
date_created: 2023-07-10T11:40:56Z
date_updated: 2024-04-03T09:21:40Z
department:
- _id: '841'
doi: 10.1007/s00211-019-01074-2
intvolume: '       143'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 797-853
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A convergent evolving finite element algorithm for mean curvature flow of closed
  surfaces
type: journal_article
user_id: '100441'
volume: 143
year: '2019'
...
---
_id: '52510'
author:
- first_name: Gerda
  full_name: Werth, Gerda
  id: '578'
  last_name: Werth
citation:
  ama: 'Werth G. Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin. In:
    Frank A, Krauss S, Binder K, eds. <i>Beiträge zum Mathematikunterricht</i>. WTM;
    2019.'
  apa: Werth, G. (2019). Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin.
    In A. Frank, S. Krauss, &#38; K. Binder (Eds.), <i>Beiträge zum Mathematikunterricht</i>.
    WTM.
  bibtex: '@inproceedings{Werth_2019, place={Münster}, title={Mathilde Vaerting. Deutschlands
    erste Mathematikdidaktikderin}, booktitle={Beiträge zum Mathematikunterricht},
    publisher={WTM}, author={Werth, Gerda}, editor={Frank, Andreas and Krauss, Stefan  and
    Binder, Karin}, year={2019} }'
  chicago: 'Werth, Gerda. “Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin.”
    In <i>Beiträge zum Mathematikunterricht</i>, edited by Andreas Frank, Stefan  Krauss,
    and Karin Binder. Münster: WTM, 2019.'
  ieee: G. Werth, “Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin,”
    in <i>Beiträge zum Mathematikunterricht</i>, Regensburg, 2019.
  mla: Werth, Gerda. “Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin.”
    <i>Beiträge zum Mathematikunterricht</i>, edited by Andreas Frank et al., WTM,
    2019.
  short: 'G. Werth, in: A. Frank, S. Krauss, K. Binder (Eds.), Beiträge zum Mathematikunterricht,
    WTM, Münster, 2019.'
conference:
  end_date: 2019-03-08
  location: Regensburg
  name: Jahrestagung der Gesellschaft für Didaktik der Mathematik
  start_date: 2019-03-04
date_created: 2024-03-12T15:22:28Z
date_updated: 2024-04-09T11:06:08Z
department:
- _id: '34'
- _id: '10'
- _id: '98'
- _id: '360'
editor:
- first_name: Andreas
  full_name: Frank, Andreas
  last_name: Frank
- first_name: 'Stefan '
  full_name: 'Krauss, Stefan '
  last_name: Krauss
- first_name: Karin
  full_name: Binder, Karin
  last_name: Binder
language:
- iso: ger
place: Münster
publication: Beiträge zum Mathematikunterricht
publisher: WTM
status: public
title: Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin
type: conference
user_id: '578'
year: '2019'
...
---
_id: '53416'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>For a compact
    Riemannian locally symmetric space $\\mathcal M$ of rank 1 and an associated vector
    bundle $\\mathbf V_{\\tau }$ over the unit cosphere bundle $S^{\\ast }\\mathcal
    M$, we give a precise description of those classical (Pollicott–Ruelle) resonant
    states on $\\mathbf V_{\\tau }$ that vanish under covariant derivatives in the
    Anosov-unstable directions of the chaotic geodesic flow on $S^{\\ast }\\mathcal
    M$. In particular, we show that they are isomorphically mapped by natural pushforwards
    into generalized common eigenspaces of the algebra of invariant differential operators
    $D(G,\\sigma )$ on compatible associated vector bundles $\\mathbf W_{\\sigma }$
    over $\\mathcal M$. As a consequence of this description, we obtain an exact band
    structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions
    on the representations $\\tau$ and $\\sigma$ defining the bundles $\\mathbf V_{\\tau
    }$ and $\\mathbf W_{\\sigma }$, we obtain a very explicit description of the generalized
    common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances
    to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections
    of $\\mathbf W_{\\sigma }$. Our methods of proof are based on representation theory
    and Lie theory.</jats:p>"
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. Quantum-Classical Correspondence on Associated Vector Bundles
    Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>.
    2019;2021(11):8225-8296. doi:<a href="https://doi.org/10.1093/imrn/rnz068">10.1093/imrn/rnz068</a>
  apa: Küster, B., &#38; Weich, T. (2019). Quantum-Classical Correspondence on Associated
    Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research
    Notices</i>, <i>2021</i>(11), 8225–8296. <a href="https://doi.org/10.1093/imrn/rnz068">https://doi.org/10.1093/imrn/rnz068</a>
  bibtex: '@article{Küster_Weich_2019, title={Quantum-Classical Correspondence on
    Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={<a
    href="https://doi.org/10.1093/imrn/rnz068">10.1093/imrn/rnz068</a>}, number={11},
    journal={International Mathematics Research Notices}, publisher={Oxford University
    Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2019}, pages={8225–8296}
    }'
  chicago: 'Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence
    on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International
    Mathematics Research Notices</i> 2021, no. 11 (2019): 8225–96. <a href="https://doi.org/10.1093/imrn/rnz068">https://doi.org/10.1093/imrn/rnz068</a>.'
  ieee: 'B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector
    Bundles Over Locally Symmetric Spaces,” <i>International Mathematics Research
    Notices</i>, vol. 2021, no. 11, pp. 8225–8296, 2019, doi: <a href="https://doi.org/10.1093/imrn/rnz068">10.1093/imrn/rnz068</a>.'
  mla: Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated
    Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research
    Notices</i>, vol. 2021, no. 11, Oxford University Press (OUP), 2019, pp. 8225–96,
    doi:<a href="https://doi.org/10.1093/imrn/rnz068">10.1093/imrn/rnz068</a>.
  short: B. Küster, T. Weich, International Mathematics Research Notices 2021 (2019)
    8225–8296.
date_created: 2024-04-11T12:33:46Z
date_updated: 2024-04-11T12:36:33Z
department:
- _id: '548'
doi: 10.1093/imrn/rnz068
intvolume: '      2021'
issue: '11'
keyword:
- General Mathematics
language:
- iso: eng
page: 8225-8296
publication: International Mathematics Research Notices
publication_identifier:
  issn:
  - 1073-7928
  - 1687-0247
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Quantum-Classical Correspondence on Associated Vector Bundles Over Locally
  Symmetric Spaces
type: journal_article
user_id: '70575'
volume: 2021
year: '2019'
...
---
_id: '33598'
author:
- first_name: Sara
  full_name: Rezat, Sara
  id: '58338'
  last_name: Rezat
- first_name: Sebastian
  full_name: Rezat, Sebastian
  id: '31132'
  last_name: Rezat
citation:
  ama: 'Rezat S, Rezat S. „...weil man Fermi-Aufgaben so rechnet“. Modelltexte als
    sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben. <i>In:
    Mathematik differenziert 3/2019</i>. Published online 2019:30-37.'
  apa: 'Rezat, S., &#38; Rezat, S. (2019). „...weil man Fermi-Aufgaben so rechnet“.
    Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben.
    <i>In: Mathematik differenziert 3/2019</i>, 30–37.'
  bibtex: '@article{Rezat_Rezat_2019, title={„...weil man Fermi-Aufgaben so rechnet“.
    Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben},
    journal={In: Mathematik differenziert 3/2019}, author={Rezat, Sara and Rezat,
    Sebastian}, year={2019}, pages={30–37} }'
  chicago: 'Rezat, Sara, and Sebastian Rezat. “„...weil man Fermi-Aufgaben so rechnet“.
    Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben.”
    <i>In: Mathematik differenziert 3/2019</i>, 2019, 30–37.'
  ieee: 'S. Rezat and S. Rezat, “„...weil man Fermi-Aufgaben so rechnet“. Modelltexte
    als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben,”
    <i>In: Mathematik differenziert 3/2019</i>, pp. 30–37, 2019.'
  mla: 'Rezat, Sara, and Sebastian Rezat. “„...weil man Fermi-Aufgaben so rechnet“.
    Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben.”
    <i>In: Mathematik differenziert 3/2019</i>, 2019, pp. 30–37.'
  short: 'S. Rezat, S. Rezat, In: Mathematik differenziert 3/2019 (2019) 30–37.'
date_created: 2022-10-09T22:08:36Z
date_updated: 2024-04-18T08:02:47Z
department:
- _id: '463'
- _id: '360'
language:
- iso: ger
page: 30-37
publication: 'In: Mathematik differenziert 3/2019'
status: public
title: „...weil man Fermi-Aufgaben so rechnet“. Modelltexte als sprachliche Ressource
  für das Erklären von Lösungswegen bei Fermi-Aufgaben
type: journal_article
user_id: '31132'
year: '2019'
...
---
_id: '44684'
author:
- first_name: Maike
  full_name: Vollstedt, Maike
  last_name: Vollstedt
- first_name: Sebastian
  full_name: Rezat, Sebastian
  id: '31132'
  last_name: Rezat
citation:
  ama: 'Vollstedt M, Rezat S. An Introduction to Grounded Theory with a Special Focus
    on Axial Coding and the Coding Paradigm. In: Kaiser G, Presmeg N, eds. <i>Compendium
    for Early Career Researchers in Mathematics Education</i>. Springer International
    Publishing; 2019. doi:<a href="https://doi.org/10.1007/978-3-030-15636-7_4">10.1007/978-3-030-15636-7_4</a>'
  apa: Vollstedt, M., &#38; Rezat, S. (2019). An Introduction to Grounded Theory with
    a Special Focus on Axial Coding and the Coding Paradigm. In G. Kaiser &#38; N.
    Presmeg (Eds.), <i>Compendium for Early Career Researchers in Mathematics Education</i>.
    Springer International Publishing. <a href="https://doi.org/10.1007/978-3-030-15636-7_4">https://doi.org/10.1007/978-3-030-15636-7_4</a>
  bibtex: '@inbook{Vollstedt_Rezat_2019, place={Cham}, title={An Introduction to Grounded
    Theory with a Special Focus on Axial Coding and the Coding Paradigm}, DOI={<a
    href="https://doi.org/10.1007/978-3-030-15636-7_4">10.1007/978-3-030-15636-7_4</a>},
    booktitle={Compendium for Early Career Researchers in Mathematics Education},
    publisher={Springer International Publishing}, author={Vollstedt, Maike and Rezat,
    Sebastian}, editor={Kaiser, Gabriele and Presmeg, Norma}, year={2019} }'
  chicago: 'Vollstedt, Maike, and Sebastian Rezat. “An Introduction to Grounded Theory
    with a Special Focus on Axial Coding and the Coding Paradigm.” In <i>Compendium
    for Early Career Researchers in Mathematics Education</i>, edited by Gabriele
    Kaiser and Norma Presmeg. Cham: Springer International Publishing, 2019. <a href="https://doi.org/10.1007/978-3-030-15636-7_4">https://doi.org/10.1007/978-3-030-15636-7_4</a>.'
  ieee: 'M. Vollstedt and S. Rezat, “An Introduction to Grounded Theory with a Special
    Focus on Axial Coding and the Coding Paradigm,” in <i>Compendium for Early Career
    Researchers in Mathematics Education</i>, G. Kaiser and N. Presmeg, Eds. Cham:
    Springer International Publishing, 2019.'
  mla: Vollstedt, Maike, and Sebastian Rezat. “An Introduction to Grounded Theory
    with a Special Focus on Axial Coding and the Coding Paradigm.” <i>Compendium for
    Early Career Researchers in Mathematics Education</i>, edited by Gabriele Kaiser
    and Norma Presmeg, Springer International Publishing, 2019, doi:<a href="https://doi.org/10.1007/978-3-030-15636-7_4">10.1007/978-3-030-15636-7_4</a>.
  short: 'M. Vollstedt, S. Rezat, in: G. Kaiser, N. Presmeg (Eds.), Compendium for
    Early Career Researchers in Mathematics Education, Springer International Publishing,
    Cham, 2019.'
date_created: 2023-05-09T13:46:15Z
date_updated: 2024-04-18T08:24:46Z
department:
- _id: '360'
doi: 10.1007/978-3-030-15636-7_4
editor:
- first_name: Gabriele
  full_name: Kaiser, Gabriele
  last_name: Kaiser
- first_name: Norma
  full_name: Presmeg, Norma
  last_name: Presmeg
language:
- iso: eng
place: Cham
publication: Compendium for Early Career Researchers in Mathematics Education
publication_identifier:
  isbn:
  - '9783030156350'
  - '9783030156367'
  issn:
  - 2520-8322
  - 2520-8330
publication_status: published
publisher: Springer International Publishing
status: public
title: An Introduction to Grounded Theory with a Special Focus on Axial Coding and
  the Coding Paradigm
type: book_chapter
user_id: '31132'
year: '2019'
...
---
_id: '46156'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Although the teaching of vocabulary
    in mathematics lessons is requested in content- and language-integrated lesson
    designs, the clarification of the specific lexical language demands is still an
    open question for many mathematical topics. In a content- and language-integrated
    lesson design towards understanding the concept of equivalent fractions, the vocabulary
    (words and phrases) used by 17 students has been analyzed with qualitative means
    of data analysis. The qualitative in-depth analyses underline the importance of
    meaning-related vocabulary for making structural relations between the fractions
    in view explicit. Quantitative analyses of inventoried vocabulary for the four
    categories “self-initiated by students,” “triggered by teaching material,” “triggered
    by teacher,” or “triggered by peers” show the relations of collective and autonomous
    vocabularies from which the students retrieve their lexical means in oral and
    written language production.</jats:p>
author:
- first_name: Lena
  full_name: Wessel, Lena
  id: '85190'
  last_name: Wessel
citation:
  ama: Wessel L. Vocabulary in learning processes towards conceptual understanding
    of equivalent fractions—specifying students’ language demands on the basis of
    lexical trace analyses. <i>Mathematics Education Research Journal</i>. 2019;32(4):653-681.
    doi:<a href="https://doi.org/10.1007/s13394-019-00284-z">10.1007/s13394-019-00284-z</a>
  apa: Wessel, L. (2019). Vocabulary in learning processes towards conceptual understanding
    of equivalent fractions—specifying students’ language demands on the basis of
    lexical trace analyses. <i>Mathematics Education Research Journal</i>, <i>32</i>(4),
    653–681. <a href="https://doi.org/10.1007/s13394-019-00284-z">https://doi.org/10.1007/s13394-019-00284-z</a>
  bibtex: '@article{Wessel_2019, title={Vocabulary in learning processes towards conceptual
    understanding of equivalent fractions—specifying students’ language demands on
    the basis of lexical trace analyses}, volume={32}, DOI={<a href="https://doi.org/10.1007/s13394-019-00284-z">10.1007/s13394-019-00284-z</a>},
    number={4}, journal={Mathematics Education Research Journal}, publisher={Springer
    Science and Business Media LLC}, author={Wessel, Lena}, year={2019}, pages={653–681}
    }'
  chicago: 'Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding
    of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of
    Lexical Trace Analyses.” <i>Mathematics Education Research Journal</i> 32, no.
    4 (2019): 653–81. <a href="https://doi.org/10.1007/s13394-019-00284-z">https://doi.org/10.1007/s13394-019-00284-z</a>.'
  ieee: 'L. Wessel, “Vocabulary in learning processes towards conceptual understanding
    of equivalent fractions—specifying students’ language demands on the basis of
    lexical trace analyses,” <i>Mathematics Education Research Journal</i>, vol. 32,
    no. 4, pp. 653–681, 2019, doi: <a href="https://doi.org/10.1007/s13394-019-00284-z">10.1007/s13394-019-00284-z</a>.'
  mla: Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding
    of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of
    Lexical Trace Analyses.” <i>Mathematics Education Research Journal</i>, vol. 32,
    no. 4, Springer Science and Business Media LLC, 2019, pp. 653–81, doi:<a href="https://doi.org/10.1007/s13394-019-00284-z">10.1007/s13394-019-00284-z</a>.
  short: L. Wessel, Mathematics Education Research Journal 32 (2019) 653–681.
date_created: 2023-07-26T10:03:33Z
date_updated: 2024-04-18T09:01:40Z
department:
- _id: '643'
doi: 10.1007/s13394-019-00284-z
intvolume: '        32'
issue: '4'
keyword:
- Education
- General Mathematics
language:
- iso: eng
page: 653-681
publication: Mathematics Education Research Journal
publication_identifier:
  issn:
  - 1033-2170
  - 2211-050X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Vocabulary in learning processes towards conceptual understanding of equivalent
  fractions—specifying students’ language demands on the basis of lexical trace analyses
type: journal_article
user_id: '37888'
volume: 32
year: '2019'
...
---
_id: '48320'
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. 3.5 Kompetenzorientierte Didaktik der Analysis durch
    Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell.
    In: Kreutz J, Leuders T, Hellmann T, eds. <i>Professionsorientierung in der Lehrerbildung:
    Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell</i>.
    Springer; 2019:117-134.'
  apa: 'Leuders, T., &#38; Wessel, L. (2019). 3.5 Kompetenzorientierte Didaktik der
    Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign
    nach dem 4C/ID-Modell. In J. Kreutz, T. Leuders, &#38; T. Hellmann (Eds.), <i>Professionsorientierung
    in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell</i>
    (pp. 117–134). Springer.'
  bibtex: '@inbook{Leuders_Wessel_2019, place={Wiesbaden}, title={3.5 Kompetenzorientierte
    Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein
    Lehrdesign nach dem 4C/ID-Modell}, booktitle={Professionsorientierung in der Lehrerbildung:
    Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell},
    publisher={Springer}, author={Leuders, Timo and Wessel, Lena}, editor={Kreutz,
    J. and Leuders, Timo and Hellmann, T.}, year={2019}, pages={117–134} }'
  chicago: 'Leuders, Timo, and Lena Wessel. “3.5 Kompetenzorientierte Didaktik der
    Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign
    nach dem 4C/ID-Modell.” In <i>Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes
    Lehren nach dem 4-Component-Instructional-Design-Modell</i>, edited by J. Kreutz,
    Timo Leuders, and T. Hellmann, 117–34. Wiesbaden: Springer, 2019.'
  ieee: 'T. Leuders and L. Wessel, “3.5 Kompetenzorientierte Didaktik der Analysis
    durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem
    4C/ID-Modell,” in <i>Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes
    Lehren nach dem 4-Component-Instructional-Design-Modell</i>, J. Kreutz, T. Leuders,
    and T. Hellmann, Eds. Wiesbaden: Springer, 2019, pp. 117–134.'
  mla: 'Leuders, Timo, and Lena Wessel. “3.5 Kompetenzorientierte Didaktik der Analysis
    durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem
    4C/ID-Modell.” <i>Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes
    Lehren nach dem 4-Component-Instructional-Design-Modell</i>, edited by J. Kreutz
    et al., Springer, 2019, pp. 117–34.'
  short: 'T. Leuders, L. Wessel, in: J. Kreutz, T. Leuders, T. Hellmann (Eds.), Professionsorientierung
    in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell,
    Springer, Wiesbaden, 2019, pp. 117–134.'
date_created: 2023-10-19T09:24:24Z
date_updated: 2024-04-18T09:04:42Z
department:
- _id: '643'
editor:
- first_name: J.
  full_name: Kreutz, J.
  last_name: Kreutz
- first_name: Timo
  full_name: Leuders, Timo
  last_name: Leuders
- first_name: T.
  full_name: Hellmann, T.
  last_name: Hellmann
language:
- iso: ger
page: 117-134
place: Wiesbaden
publication: 'Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes
  Lehren nach dem 4-Component-Instructional-Design-Modell'
publisher: Springer
status: public
title: 3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life
  tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell
type: book_chapter
user_id: '37888'
year: '2019'
...
---
_id: '48376'
abstract:
- lang: eng
  text: '<jats:p>„Vielfalt, die verbindet“ ist ein Leitmotiv, welches das Hanse-Kolloquium
    zur Hochschuldidaktik der Mathematik 2018 in Essen gut beschreibt. Zu diesem kamen
    Akteure von Fachhochschulen und Universitäten mit fachmathematischer wie fachdidaktischer
    Perspektive vom 9. bis 10. November zusammen, um die Problematik des Übergangs
    von Schule zu Hochschule im Kontext mathematischer Studiengänge zu diskutieren.
    Der vorliegende Band bündelt die vielfältigen Projekte und Forschungsaktivitäten
    rund um den Übergang Schule–Hochschule und zeigt Innovationen innerhalb der mathematischen
    Hochschullehre gleichermaßen praxisorientiert wie theoretisch fundiert auf. Neben
    drei Hauptbeiträgen von Bärbel Barzel, Frode Rønning sowie Nimet Sarikaya und
    Peter Furlan umfasst der Band weitere 13 Sektionsbeiträge, welche u. a. die nebenstehenden
    Schwerpunkte fokussieren. • Heranführen von Studierenden an hochschulmathematische
    Denk- und Arbeitsweisen • Anpassung von Strukturen und Aufgaben für einen konstruktiven
    Übergang von Schule zu Hochschule • Bewährte Unterstützungsmaßnahmen für ein erfolgreiches
    Selbstlernen, z. B. in Form von Peer Instruction. • Etablierte Flipped-Classroom-
    und Blended-Learning-Formate  • Messung vielfältiger Fähigkeitsprofile von Studierenden
    beim Eintritt in die Hochschule • Chancen der Digitalisierung nutzen: Lehren und
    Lernen mit digitalen Medien, z. B. mithilfe von Lernvideo oder durch dynamische
    Visualisierungen • Umgang mit zunehmender Heterogenität und unterschiedlichem
    Vorwissen auf Seite der Studierenden • Konzepte problembasierten Lernens in die
    Hochschullehre integrieren • Steigerung der Motivation von Studierenden • Umgang
    mit der doppelten Diskontinuität mathematischer Lehramtsstudiengänge</jats:p>'
alternative_title:
- Beiträge zum gleichnamigen Symposium am 9. und 10. November 2018 an der Universität
  Duisburg-Essen
citation:
  ama: Klinger M, Schüler-Meyer A, Wessel L, eds. <i>Hanse-Kolloquium zur Hochschuldidaktik
    der Mathematik 2018</i>. Vol 6. WTM-Verlag; 2019. doi:<a href="https://doi.org/10.37626/ga9783959870986.0">10.37626/ga9783959870986.0</a>
  apa: Klinger, M., Schüler-Meyer, A., &#38; Wessel, L. (Eds.). (2019). <i>Hanse-Kolloquium
    zur Hochschuldidaktik der Mathematik 2018</i> (Vol. 6). WTM-Verlag. <a href="https://doi.org/10.37626/ga9783959870986.0">https://doi.org/10.37626/ga9783959870986.0</a>
  bibtex: '@book{Klinger_Schüler-Meyer_Wessel_2019, place={Münster}, series={Reihe
    Schriften zur Hochschuldidaktik Mathematik}, title={Hanse-Kolloquium zur Hochschuldidaktik
    der Mathematik 2018}, volume={6}, DOI={<a href="https://doi.org/10.37626/ga9783959870986.0">10.37626/ga9783959870986.0</a>},
    publisher={WTM-Verlag}, year={2019}, collection={Reihe Schriften zur Hochschuldidaktik
    Mathematik} }'
  chicago: 'Klinger, Marcel, Alexander Schüler-Meyer, and Lena Wessel, eds. <i>Hanse-Kolloquium
    zur Hochschuldidaktik der Mathematik 2018</i>. Vol. 6. Reihe Schriften zur Hochschuldidaktik
    Mathematik. Münster: WTM-Verlag, 2019. <a href="https://doi.org/10.37626/ga9783959870986.0">https://doi.org/10.37626/ga9783959870986.0</a>.'
  ieee: 'M. Klinger, A. Schüler-Meyer, and L. Wessel, Eds., <i>Hanse-Kolloquium zur
    Hochschuldidaktik der Mathematik 2018</i>, vol. 6. Münster: WTM-Verlag, 2019.'
  mla: Klinger, Marcel, et al., editors. <i>Hanse-Kolloquium zur Hochschuldidaktik
    der Mathematik 2018</i>. WTM-Verlag, 2019, doi:<a href="https://doi.org/10.37626/ga9783959870986.0">10.37626/ga9783959870986.0</a>.
  short: M. Klinger, A. Schüler-Meyer, L. Wessel, eds., Hanse-Kolloquium zur Hochschuldidaktik
    der Mathematik 2018, WTM-Verlag, Münster, 2019.
date_created: 2023-10-23T07:50:59Z
date_updated: 2024-04-18T09:08:38Z
department:
- _id: '643'
doi: 10.37626/ga9783959870986.0
editor:
- first_name: Marcel
  full_name: Klinger, Marcel
  last_name: Klinger
- first_name: Alexander
  full_name: Schüler-Meyer, Alexander
  last_name: Schüler-Meyer
- first_name: Lena
  full_name: Wessel, Lena
  id: '85190'
  last_name: Wessel
intvolume: '         6'
language:
- iso: ger
place: Münster
publication_identifier:
  isbn:
  - '9783959870986'
publication_status: published
publisher: WTM-Verlag
series_title: Reihe Schriften zur Hochschuldidaktik Mathematik
status: public
title: Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018
type: book_editor
user_id: '37888'
volume: 6
year: '2019'
...
---
_id: '48409'
article_number: hal-02409325
author:
- first_name: Lena
  full_name: Wessel, Lena
  id: '85190'
  last_name: Wessel
citation:
  ama: 'Wessel L. How theories of language-responsive mathematics can inform teaching
    designs for vocational mathematics. In: Jankvist UT, van den Heuvel-Panhuizen
    M, Veldhuis M, eds. <i>Eleventh Congress of the European Society for Research
    in Mathematics Education (CERME11)</i>. Vol TWG07. Proceedings of the Eleventh
    Congress of the European Society for Research in Mathematics Education (CERME11).
    Freudenthal Group; 2019.'
  apa: Wessel, L. (2019). How theories of language-responsive mathematics can inform
    teaching designs for vocational mathematics. In U. T. Jankvist, M. van den Heuvel-Panhuizen,
    &#38; M. Veldhuis (Eds.), <i>Eleventh Congress of the European Society for Research
    in Mathematics Education (CERME11)</i> (hal-02409325; Vol. TWG07, Issue 12). Freudenthal
    Group.
  bibtex: '@inproceedings{Wessel_2019, place={Utrecht, Netherlands}, series={Proceedings
    of the Eleventh Congress of the European Society for Research in Mathematics Education
    (CERME11)}, title={How theories of language-responsive mathematics can inform
    teaching designs for vocational mathematics}, volume={TWG07}, number={12hal-02409325},
    booktitle={Eleventh Congress of the European Society for Research in Mathematics
    Education (CERME11)}, publisher={Freudenthal Group}, author={Wessel, Lena}, editor={Jankvist,
    Uffe Thomas and van den Heuvel-Panhuizen, Marja and Veldhuis, Michiel}, year={2019},
    collection={Proceedings of the Eleventh Congress of the European Society for Research
    in Mathematics Education (CERME11)} }'
  chicago: 'Wessel, Lena. “How Theories of Language-Responsive Mathematics Can Inform
    Teaching Designs for Vocational Mathematics.” In <i>Eleventh Congress of the European
    Society for Research in Mathematics Education (CERME11)</i>, edited by Uffe Thomas
    Jankvist, Marja van den Heuvel-Panhuizen, and Michiel Veldhuis, Vol. TWG07. Proceedings
    of the Eleventh Congress of the European Society for Research in Mathematics Education
    (CERME11). Utrecht, Netherlands: Freudenthal Group, 2019.'
  ieee: L. Wessel, “How theories of language-responsive mathematics can inform teaching
    designs for vocational mathematics,” in <i>Eleventh Congress of the European Society
    for Research in Mathematics Education (CERME11)</i>, 2019, vol. TWG07, no. 12.
  mla: Wessel, Lena. “How Theories of Language-Responsive Mathematics Can Inform Teaching
    Designs for Vocational Mathematics.” <i>Eleventh Congress of the European Society
    for Research in Mathematics Education (CERME11)</i>, edited by Uffe Thomas Jankvist
    et al., vol. TWG07, no. 12, hal-02409325, Freudenthal Group, 2019.
  short: 'L. Wessel, in: U.T. Jankvist, M. van den Heuvel-Panhuizen, M. Veldhuis (Eds.),
    Eleventh Congress of the European Society for Research in Mathematics Education
    (CERME11), Freudenthal Group, Utrecht, Netherlands, 2019.'
date_created: 2023-10-24T07:56:11Z
date_updated: 2024-04-18T09:19:16Z
department:
- _id: '643'
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
issue: '12'
keyword:
- Vocational education
- language
- percentages
- scaffolding
- design research
language:
- iso: eng
main_file_link:
- url: https://hal.science/hal-02409325/
place: Utrecht, Netherlands
publication: Eleventh Congress of the European Society for Research in Mathematics
  Education (CERME11)
publisher: Freudenthal Group
series_title: Proceedings of the Eleventh Congress of the European Society for Research
  in Mathematics Education (CERME11)
status: public
title: How theories of language-responsive mathematics can inform teaching designs
  for vocational mathematics
type: conference
user_id: '37888'
volume: TWG07
year: '2019'
...
