---
_id: '60491'
abstract:
- lang: eng
text: We investigate generalisations of 1-factorisations and hyperfactorisations
of the complete graph $K_{2n}$. We show that they are special subsets of the association
scheme obtained from the Gelfand pair $(S_{2n},S_2 \wr S_n)$. This unifies and
extends results by Cameron (1976) and gives rise to new existence and non-existence
results. Our methods involve working in the group algebra $\mathbb{C}[S_{2n}]$
and using the representation theory of $S_{2n}$.
author:
- first_name: Lukas-André Dominik
full_name: Klawuhn, Lukas-André Dominik
id: '91965'
last_name: Klawuhn
orcid: 0009-0009-7736-4885
- first_name: John
full_name: Bamberg, John
last_name: Bamberg
citation:
ama: Klawuhn L-AD, Bamberg J. On the association scheme of perfect matchings and
their designs. Algebraic Combinatorics. 2026;9(3):789-809. doi:10.5802/alco.490
apa: Klawuhn, L.-A. D., & Bamberg, J. (2026). On the association scheme of perfect
matchings and their designs. Algebraic Combinatorics, 9(3), 789–809.
https://doi.org/10.5802/alco.490
bibtex: '@article{Klawuhn_Bamberg_2026, title={On the association scheme of perfect
matchings and their designs}, volume={9}, DOI={10.5802/alco.490},
number={3}, journal={Algebraic Combinatorics}, author={Klawuhn, Lukas-André Dominik
and Bamberg, John}, year={2026}, pages={789–809} }'
chicago: 'Klawuhn, Lukas-André Dominik, and John Bamberg. “On the Association Scheme
of Perfect Matchings and Their Designs.” Algebraic Combinatorics 9, no.
3 (2026): 789–809. https://doi.org/10.5802/alco.490.'
ieee: 'L.-A. D. Klawuhn and J. Bamberg, “On the association scheme of perfect matchings
and their designs,” Algebraic Combinatorics, vol. 9, no. 3, pp. 789–809,
2026, doi: 10.5802/alco.490.'
mla: Klawuhn, Lukas-André Dominik, and John Bamberg. “On the Association Scheme
of Perfect Matchings and Their Designs.” Algebraic Combinatorics, vol.
9, no. 3, 2026, pp. 789–809, doi:10.5802/alco.490.
short: L.-A.D. Klawuhn, J. Bamberg, Algebraic Combinatorics 9 (2026) 789–809.
date_created: 2025-07-02T07:37:23Z
date_updated: 2026-07-10T12:26:11Z
department:
- _id: '100'
doi: 10.5802/alco.490
intvolume: ' 9'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://alco.centre-mersenne.org/articles/10.5802/alco.490/
oa: '1'
page: 789-809
publication: Algebraic Combinatorics
status: public
title: On the association scheme of perfect matchings and their designs
type: journal_article
user_id: '91965'
volume: 9
year: '2026'
...
---
_id: '66642'
abstract:
- lang: eng
text: "In this work, we build a bridge between the Pólya--Schur program and Voiculescu's
free probability theory. A cornerstone of the former is the Pólya--Benz Theorem,
classifying a central family of real-root preserving operators on the space of
polynomials, as those given by $f(\\partial_z)$ for a Laguerre--Pólya function
$f$ and the derivative operator $\\partial_{z}$. We prove that any free (additive)
infinitely divisible distribution can be attained as the weak limit of root distributions
of Appell polynomials $f_n(\\partial_z)z^n$ as $n\\to\\infty$, for a suitably
chosen sequence $f_n$ of Laguerre--Pólya functions.\r\n Such questions on the
(global) limiting distributions of real rooted polynomials belong to the active
research area of finite free probability. In contrast to its standard tools, our
approach allows for non-compactly supported limiting distributions, (barely) complex
rooted polynomials and even provides the full microscopic description of the roots.
Moreover, we extend our results to differential operators generating free multiplicative
infinitely divisible distributions, to the rectangular free convolution, and to
$f_n(\\partial_z)p_n$ for real rooted polynomials $p_n$, implying a generalization
of the recent connections between the heat flow and free Brownian motion to any
free Lévy process.\r\n As corollaries, we identify free stable distributions
by choosing $f_n$ to be a fixed rescaled Laguerre--Pólya function, and we prove
various convergence results on the zero distributions of Jensen polynomials, e.g.
the limiting root distribution of Jensen polynomial of the Riemann $Ξ$-function
is given by the Cauchy distribution."
author:
- first_name: Andrew
full_name: Campbell, Andrew
last_name: Campbell
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
citation:
ama: Campbell A, Jalowy J. Pólya--Schur problems and free probability. arXiv:260531356.
Published online 2026.
apa: Campbell, A., & Jalowy, J. (2026). Pólya--Schur problems and free probability.
In arXiv:2605.31356.
bibtex: '@article{Campbell_Jalowy_2026, title={Pólya--Schur problems and free probability},
journal={arXiv:2605.31356}, author={Campbell, Andrew and Jalowy, Jonas}, year={2026}
}'
chicago: Campbell, Andrew, and Jonas Jalowy. “Pólya--Schur Problems and Free Probability.”
ArXiv:2605.31356, 2026.
ieee: A. Campbell and J. Jalowy, “Pólya--Schur problems and free probability,” arXiv:2605.31356.
2026.
mla: Campbell, Andrew, and Jonas Jalowy. “Pólya--Schur Problems and Free Probability.”
ArXiv:2605.31356, 2026.
short: A. Campbell, J. Jalowy, ArXiv:2605.31356 (2026).
date_created: 2026-08-04T06:07:17Z
date_updated: 2026-08-04T06:07:45Z
department:
- _id: '94'
external_id:
arxiv:
- '2605.31356'
language:
- iso: eng
publication: arXiv:2605.31356
status: public
title: Pólya--Schur problems and free probability
type: preprint
user_id: '113768'
year: '2026'
...
---
_id: '66641'
article_number: '104996'
author:
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Hanna
full_name: Stange, Hanna
last_name: Stange
citation:
ama: Jalowy J, Stange H. Box-covariances of hyperuniform point processes. Stochastic
Processes and their Applications. 2026;199. doi:10.1016/j.spa.2026.104996
apa: Jalowy, J., & Stange, H. (2026). Box-covariances of hyperuniform point
processes. Stochastic Processes and Their Applications, 199, Article
104996. https://doi.org/10.1016/j.spa.2026.104996
bibtex: '@article{Jalowy_Stange_2026, title={Box-covariances of hyperuniform point
processes}, volume={199}, DOI={10.1016/j.spa.2026.104996},
number={104996}, journal={Stochastic Processes and their Applications}, publisher={Elsevier
BV}, author={Jalowy, Jonas and Stange, Hanna}, year={2026} }'
chicago: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point
Processes.” Stochastic Processes and Their Applications 199 (2026). https://doi.org/10.1016/j.spa.2026.104996.
ieee: 'J. Jalowy and H. Stange, “Box-covariances of hyperuniform point processes,”
Stochastic Processes and their Applications, vol. 199, Art. no. 104996,
2026, doi: 10.1016/j.spa.2026.104996.'
mla: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point Processes.”
Stochastic Processes and Their Applications, vol. 199, 104996, Elsevier
BV, 2026, doi:10.1016/j.spa.2026.104996.
short: J. Jalowy, H. Stange, Stochastic Processes and Their Applications 199 (2026).
date_created: 2026-08-04T06:06:09Z
date_updated: 2026-08-04T06:07:59Z
department:
- _id: '94'
doi: 10.1016/j.spa.2026.104996
intvolume: ' 199'
language:
- iso: eng
publication: Stochastic Processes and their Applications
publication_identifier:
issn:
- 0304-4149
publication_status: published
publisher: Elsevier BV
status: public
title: Box-covariances of hyperuniform point processes
type: journal_article
user_id: '113768'
volume: 199
year: '2026'
...
---
_id: '66731'
abstract:
- lang: eng
text: "We generalize intersection numbers for combinatorial designs to designs in
finite meet-semilattices satisfying suitable regularity conditions. While designs
in regular semilattices go back to Delsarte, our regularity assumptions are weaker
than his and need not give rise to an association scheme. In this framework, we
extend Mendelsohn's equations, prove a generalized Singleton bound with Steiner
systems as equality cases, and determine the block intersection distribution at
any block of a Steiner system. In particular, this distribution is independent
of the chosen block.\r\n Specializing to several classical semilattice families,
our results recover a number of well-known distributions in coding and design
theory. In the Hamming and the $q$-Hamming (or bilinear forms) schemes, they give
the local distance distributions of MDS and MRD codes, respectively. In the Johnson
and $q$-Johnson (or Graßmann) schemes, they reproduce the block intersection distribution
of classical and $q$-analog Steiner systems, equivalently the distance distribution
of diameter-perfect constant-weight codes and diameter-perfect constant-dimension
subspace codes. For the $q$-Johnson schemes, to the best of our knowledge, this
result is new. As a further illustration, we apply our theory to designs of perfect
matchings.\r\n Our approach provides a unified treatment of these cases in the
strongest form known in the literature, determining the distribution relative
to each individual block or codeword, without averaging and without linearity
or additivity assumptions. Moreover, it identifies the natural double-counting
objects underlying these distributions, leading to formulas in the regularity
parameters of the semilattice and avoiding the more cumbersome expressions that
arise in eigenvalue-based approaches via the ambient association scheme."
author:
- first_name: Michael
full_name: Kiermaier, Michael
last_name: Kiermaier
- first_name: Lukas-André Dominik
full_name: Klawuhn, Lukas-André Dominik
id: '91965'
last_name: Klawuhn
orcid: 0009-0009-7736-4885
citation:
ama: Kiermaier M, Klawuhn L-AD. Intersection numbers for designs in regular semilattices.
Published online 2026.
apa: Kiermaier, M., & Klawuhn, L.-A. D. (2026). Intersection numbers for
designs in regular semilattices.
bibtex: '@article{Kiermaier_Klawuhn_2026, title={Intersection numbers for designs
in regular semilattices}, author={Kiermaier, Michael and Klawuhn, Lukas-André
Dominik}, year={2026} }'
chicago: Kiermaier, Michael, and Lukas-André Dominik Klawuhn. “Intersection Numbers
for Designs in Regular Semilattices,” 2026.
ieee: M. Kiermaier and L.-A. D. Klawuhn, “Intersection numbers for designs in regular
semilattices.” 2026.
mla: Kiermaier, Michael, and Lukas-André Dominik Klawuhn. Intersection Numbers
for Designs in Regular Semilattices. 2026.
short: M. Kiermaier, L.-A.D. Klawuhn, (2026).
date_created: 2026-08-17T10:29:36Z
date_updated: 2026-08-17T10:31:03Z
department:
- _id: '100'
external_id:
arxiv:
- '2608.14437'
language:
- iso: eng
status: public
title: Intersection numbers for designs in regular semilattices
type: preprint
user_id: '91965'
year: '2026'
...
---
_id: '56116'
article_number: '102404'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Erlend
full_name: Grong, Erlend
last_name: Grong
- first_name: Alexander
full_name: Schmeding, Alexander
last_name: Schmeding
citation:
ama: Glöckner H, Grong E, Schmeding A. Boundary values of diffeomorphisms of simple
polytopes, and controllability. Differential Geometry and its Applications.
2026;104. doi:10.1016/j.difgeo.2026.102404
apa: Glöckner, H., Grong, E., & Schmeding, A. (2026). Boundary values of diffeomorphisms
of simple polytopes, and controllability. Differential Geometry and Its Applications,
104, Article 102404. https://doi.org/10.1016/j.difgeo.2026.102404
bibtex: '@article{Glöckner_Grong_Schmeding_2026, title={Boundary values of diffeomorphisms
of simple polytopes, and controllability}, volume={104}, DOI={10.1016/j.difgeo.2026.102404},
number={102404}, journal={Differential Geometry and its Applications}, author={Glöckner,
Helge and Grong, Erlend and Schmeding, Alexander}, year={2026} }'
chicago: Glöckner, Helge, Erlend Grong, and Alexander Schmeding. “Boundary Values
of Diffeomorphisms of Simple Polytopes, and Controllability.” Differential
Geometry and Its Applications 104 (2026). https://doi.org/10.1016/j.difgeo.2026.102404.
ieee: 'H. Glöckner, E. Grong, and A. Schmeding, “Boundary values of diffeomorphisms
of simple polytopes, and controllability,” Differential Geometry and its Applications,
vol. 104, Art. no. 102404, 2026, doi: 10.1016/j.difgeo.2026.102404.'
mla: Glöckner, Helge, et al. “Boundary Values of Diffeomorphisms of Simple Polytopes,
and Controllability.” Differential Geometry and Its Applications, vol.
104, 102404, 2026, doi:10.1016/j.difgeo.2026.102404.
short: H. Glöckner, E. Grong, A. Schmeding, Differential Geometry and Its Applications
104 (2026).
date_created: 2024-09-11T22:50:56Z
date_updated: 2026-07-01T15:02:58Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.difgeo.2026.102404
external_id:
arxiv:
- '2407.05444'
intvolume: ' 104'
language:
- iso: eng
publication: Differential Geometry and its Applications
quality_controlled: '1'
status: public
title: Boundary values of diffeomorphisms of simple polytopes, and controllability
type: journal_article
user_id: '178'
volume: 104
year: '2026'
...
---
_id: '66121'
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
- first_name: Svea
full_name: Hallemann, Svea
last_name: Hallemann
- first_name: Theresa
full_name: Schopferer, Theresa
last_name: Schopferer
citation:
ama: Bruns J, Gasteiger H, Hallemann S, Schopferer T. Leadership practices in implementing
early mathematics education as a curriculum innovation into vocational training
of early childhood education. Research in Mathematics Education. Published
online 2026:1-21. doi:10.1080/14794802.2026.2689902
apa: Bruns, J., Gasteiger, H., Hallemann, S., & Schopferer, T. (2026). Leadership
practices in implementing early mathematics education as a curriculum innovation
into vocational training of early childhood education. Research in Mathematics
Education, 1–21. https://doi.org/10.1080/14794802.2026.2689902
bibtex: '@article{Bruns_Gasteiger_Hallemann_Schopferer_2026, title={Leadership practices
in implementing early mathematics education as a curriculum innovation into vocational
training of early childhood education}, DOI={10.1080/14794802.2026.2689902},
journal={Research in Mathematics Education}, publisher={Informa UK Limited}, author={Bruns,
Julia and Gasteiger, Hedwig and Hallemann, Svea and Schopferer, Theresa}, year={2026},
pages={1–21} }'
chicago: Bruns, Julia, Hedwig Gasteiger, Svea Hallemann, and Theresa Schopferer.
“Leadership Practices in Implementing Early Mathematics Education as a Curriculum
Innovation into Vocational Training of Early Childhood Education.” Research
in Mathematics Education, 2026, 1–21. https://doi.org/10.1080/14794802.2026.2689902.
ieee: 'J. Bruns, H. Gasteiger, S. Hallemann, and T. Schopferer, “Leadership practices
in implementing early mathematics education as a curriculum innovation into vocational
training of early childhood education,” Research in Mathematics Education,
pp. 1–21, 2026, doi: 10.1080/14794802.2026.2689902.'
mla: Bruns, Julia, et al. “Leadership Practices in Implementing Early Mathematics
Education as a Curriculum Innovation into Vocational Training of Early Childhood
Education.” Research in Mathematics Education, Informa UK Limited, 2026,
pp. 1–21, doi:10.1080/14794802.2026.2689902.
short: J. Bruns, H. Gasteiger, S. Hallemann, T. Schopferer, Research in Mathematics
Education (2026) 1–21.
date_created: 2026-07-03T10:18:03Z
date_updated: 2026-07-03T10:18:36Z
department:
- _id: '611'
doi: 10.1080/14794802.2026.2689902
language:
- iso: eng
page: 1-21
publication: Research in Mathematics Education
publication_identifier:
issn:
- 1479-4802
- 1754-0178
publication_status: published
publisher: Informa UK Limited
status: public
title: Leadership practices in implementing early mathematics education as a curriculum
innovation into vocational training of early childhood education
type: journal_article
user_id: '72183'
year: '2026'
...
---
_id: '66676'
citation:
ama: Büchter T, Eichler A, Binder K, eds. Simulationen in Der MINT-Bildung -
Impulse Für Den Mathematikunterricht. Vol 72. Friedrich Verlag; 2026:2-5.
apa: Simulationen in der MINT-Bildung - Impulse für den Mathematikunterricht. (2026).
In T. Büchter, A. Eichler, & K. Binder (Eds.), Der Mathematikunterricht
(Vol. 72, Issue 3, pp. 2–5). Friedrich Verlag.
bibtex: '@book{Büchter_Eichler_Binder_2026, title={Simulationen in der MINT-Bildung
- Impulse für den Mathematikunterricht}, volume={72}, number={3}, journal={Der
Mathematikunterricht}, publisher={Friedrich Verlag}, year={2026}, pages={2–5}
}'
chicago: Büchter, Theresa, Andreas Eichler, and Karin Binder, eds. Simulationen
in Der MINT-Bildung - Impulse Für Den Mathematikunterricht. Der Mathematikunterricht.
Vol. 72. Friedrich Verlag, 2026.
ieee: T. Büchter, A. Eichler, and K. Binder, Eds., Simulationen in der MINT-Bildung
- Impulse für den Mathematikunterricht, vol. 72, no. 3. Friedrich Verlag,
2026, pp. 2–5.
mla: Büchter, Theresa, et al., editors. “Simulationen in Der MINT-Bildung - Impulse
Für Den Mathematikunterricht.” Der Mathematikunterricht, vol. 72, no. 3,
Friedrich Verlag, 2026, pp. 2–5.
short: T. Büchter, A. Eichler, K. Binder, eds., Simulationen in Der MINT-Bildung
- Impulse Für Den Mathematikunterricht, Friedrich Verlag, 2026.
date_created: 2026-08-06T14:19:31Z
date_updated: 2026-08-06T14:21:43Z
department:
- _id: '983'
editor:
- first_name: Theresa
full_name: Büchter, Theresa
last_name: Büchter
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
intvolume: ' 72'
issue: '3'
language:
- iso: eng
page: 2-5
project:
- _id: '2784'
name: '„Komplexe MINT-Themen verstehen: Mit Simulationen Kompetenzen für das 21.
Jahrhundert fördern“ (siMINT) - Teilprojekt siMINT Risk'
publication: Der Mathematikunterricht
publisher: Friedrich Verlag
status: public
title: Simulationen in der MINT-Bildung - Impulse für den Mathematikunterricht
type: journal_editor
user_id: '83381'
volume: 72
year: '2026'
...
---
_id: '66677'
author:
- first_name: Theresa
full_name: Büchter, Theresa
last_name: Büchter
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
citation:
ama: Büchter T, Binder K, Eichler A. Unterschiedliche Typen von Simulationen - Klassifikation,
Beispiele und unterrichtlicher Einsatz. Der Mathematikunterricht. 2026;73(3):6-15.
apa: Büchter, T., Binder, K., & Eichler, A. (2026). Unterschiedliche Typen von
Simulationen - Klassifikation, Beispiele und unterrichtlicher Einsatz. Der
Mathematikunterricht, 73(3), 6–15.
bibtex: '@article{Büchter_Binder_Eichler_2026, title={Unterschiedliche Typen von
Simulationen - Klassifikation, Beispiele und unterrichtlicher Einsatz}, volume={73},
number={3}, journal={Der Mathematikunterricht}, author={Büchter, Theresa and Binder,
Karin and Eichler, Andreas}, year={2026}, pages={6–15} }'
chicago: 'Büchter, Theresa, Karin Binder, and Andreas Eichler. “Unterschiedliche
Typen von Simulationen - Klassifikation, Beispiele Und Unterrichtlicher Einsatz.”
Der Mathematikunterricht 73, no. 3 (2026): 6–15.'
ieee: T. Büchter, K. Binder, and A. Eichler, “Unterschiedliche Typen von Simulationen
- Klassifikation, Beispiele und unterrichtlicher Einsatz,” Der Mathematikunterricht,
vol. 73, no. 3, pp. 6–15, 2026.
mla: Büchter, Theresa, et al. “Unterschiedliche Typen von Simulationen - Klassifikation,
Beispiele Und Unterrichtlicher Einsatz.” Der Mathematikunterricht, vol.
73, no. 3, 2026, pp. 6–15.
short: T. Büchter, K. Binder, A. Eichler, Der Mathematikunterricht 73 (2026) 6–15.
date_created: 2026-08-06T14:21:24Z
date_updated: 2026-08-06T14:21:29Z
department:
- _id: '983'
intvolume: ' 73'
issue: '3'
language:
- iso: eng
page: 6-15
project:
- _id: '2784'
name: '„Komplexe MINT-Themen verstehen: Mit Simulationen Kompetenzen für das 21.
Jahrhundert fördern“ (siMINT) - Teilprojekt siMINT Risk'
publication: Der Mathematikunterricht
status: public
title: Unterschiedliche Typen von Simulationen - Klassifikation, Beispiele und unterrichtlicher
Einsatz
type: journal_article
user_id: '83381'
volume: 73
year: '2026'
...
---
_id: '66694'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Black T, Winkler M. Global solutions and large time stabilization in a model
for thermoacoustics in a standard linear solid. Evolution Equations and Control
Theory. 2026;25(0):278-308. doi:10.3934/eect.2026091
apa: Black, T., & Winkler, M. (2026). Global solutions and large time stabilization
in a model for thermoacoustics in a standard linear solid. Evolution Equations
and Control Theory, 25(0), 278–308. https://doi.org/10.3934/eect.2026091
bibtex: '@article{Black_Winkler_2026, title={Global solutions and large time stabilization
in a model for thermoacoustics in a standard linear solid}, volume={25}, DOI={10.3934/eect.2026091}, number={0},
journal={Evolution Equations and Control Theory}, publisher={American Institute
of Mathematical Sciences (AIMS)}, author={Black, Tobias and Winkler, Michael},
year={2026}, pages={278–308} }'
chicago: 'Black, Tobias, and Michael Winkler. “Global Solutions and Large Time Stabilization
in a Model for Thermoacoustics in a Standard Linear Solid.” Evolution Equations
and Control Theory 25, no. 0 (2026): 278–308. https://doi.org/10.3934/eect.2026091.'
ieee: 'T. Black and M. Winkler, “Global solutions and large time stabilization in
a model for thermoacoustics in a standard linear solid,” Evolution Equations
and Control Theory, vol. 25, no. 0, pp. 278–308, 2026, doi: 10.3934/eect.2026091.'
mla: Black, Tobias, and Michael Winkler. “Global Solutions and Large Time Stabilization
in a Model for Thermoacoustics in a Standard Linear Solid.” Evolution Equations
and Control Theory, vol. 25, no. 0, American Institute of Mathematical Sciences
(AIMS), 2026, pp. 278–308, doi:10.3934/eect.2026091.
short: T. Black, M. Winkler, Evolution Equations and Control Theory 25 (2026) 278–308.
date_created: 2026-08-11T09:50:10Z
date_updated: 2026-08-11T09:52:50Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.3934/eect.2026091
intvolume: ' 25'
issue: '0'
language:
- iso: eng
page: 278-308
publication: Evolution Equations and Control Theory
publication_identifier:
issn:
- 2163-2480
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Global solutions and large time stabilization in a model for thermoacoustics
in a standard linear solid
type: journal_article
user_id: '23686'
volume: 25
year: '2026'
...
---
_id: '66759'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Karin
full_name: Binder, Karin
last_name: Binder
- first_name: Michael
full_name: Haverkamp, Michael
last_name: Haverkamp
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
citation:
ama: 'Biehler R, Binder K, Haverkamp M, Kempen L. Impulse zur Stochastik in der
Oberstufe. In: Barzel B, Schnasse S, Ebers P, eds. Mathematikabitur „Status
Quo–Quo Vadis “: Tagungsband zur Fachtagung zum Mathematikabitur am 11./12. Februar
2025 in Dresden. Universität Duisburg-Essen; 2026:56–70.'
apa: 'Biehler, R., Binder, K., Haverkamp, M., & Kempen, L. (2026). Impulse zur
Stochastik in der Oberstufe. In B. Barzel, S. Schnasse, & P. Ebers (Eds.),
Mathematikabitur „Status Quo–Quo Vadis “: Tagungsband zur Fachtagung zum Mathematikabitur
am 11./12. Februar 2025 in Dresden (pp. 56–70). Universität Duisburg-Essen.'
bibtex: '@inproceedings{Biehler_Binder_Haverkamp_Kempen_2026, place={Essen}, title={Impulse
zur Stochastik in der Oberstufe}, booktitle={Mathematikabitur „Status Quo–Quo
Vadis “: Tagungsband zur Fachtagung zum Mathematikabitur am 11./12. Februar 2025
in Dresden}, publisher={Universität Duisburg-Essen}, author={Biehler, Rolf and
Binder, Karin and Haverkamp, Michael and Kempen, Leander}, editor={Barzel, Bärbel
and Schnasse, Saskia and Ebers, Patrick}, year={2026}, pages={56–70} }'
chicago: 'Biehler, Rolf, Karin Binder, Michael Haverkamp, and Leander Kempen. “Impulse
zur Stochastik in der Oberstufe.” In Mathematikabitur „Status Quo–Quo Vadis
“: Tagungsband zur Fachtagung zum Mathematikabitur am 11./12. Februar 2025 in
Dresden, edited by Bärbel Barzel, Saskia Schnasse, and Patrick Ebers, 56–70.
Essen: Universität Duisburg-Essen, 2026.'
ieee: 'R. Biehler, K. Binder, M. Haverkamp, and L. Kempen, “Impulse zur Stochastik
in der Oberstufe,” in Mathematikabitur „Status Quo–Quo Vadis “: Tagungsband
zur Fachtagung zum Mathematikabitur am 11./12. Februar 2025 in Dresden, Dresden,
2026, pp. 56–70.'
mla: 'Biehler, Rolf, et al. “Impulse zur Stochastik in der Oberstufe.” Mathematikabitur
„Status Quo–Quo Vadis “: Tagungsband zur Fachtagung zum Mathematikabitur am 11./12.
Februar 2025 in Dresden, edited by Bärbel Barzel et al., Universität Duisburg-Essen,
2026, pp. 56–70.'
short: 'R. Biehler, K. Binder, M. Haverkamp, L. Kempen, in: B. Barzel, S. Schnasse,
P. Ebers (Eds.), Mathematikabitur „Status Quo–Quo Vadis “: Tagungsband zur Fachtagung
zum Mathematikabitur am 11./12. Februar 2025 in Dresden, Universität Duisburg-Essen,
Essen, 2026, pp. 56–70.'
conference:
end_date: 12.02.2025
location: Dresden
name: Fachtagung zum Mathematikabitur „Status Quo – Quo Vadis“
start_date: 11.02.2025
date_created: 2026-08-20T11:10:46Z
date_updated: 2026-08-20T11:26:11Z
department:
- _id: '363'
- _id: '979'
editor:
- first_name: Bärbel
full_name: Barzel, Bärbel
last_name: Barzel
- first_name: Saskia
full_name: Schnasse, Saskia
last_name: Schnasse
- first_name: Patrick
full_name: Ebers, Patrick
last_name: Ebers
language:
- iso: ger
main_file_link:
- url: https://doi.org/https://doi.org/10.17185/duepublico/86715
page: 56–70
place: Essen
publication: 'Mathematikabitur „Status Quo–Quo Vadis “: Tagungsband zur Fachtagung
zum Mathematikabitur am 11./12. Februar 2025 in Dresden'
publisher: Universität Duisburg-Essen
status: public
title: Impulse zur Stochastik in der Oberstufe
type: conference
user_id: '37888'
year: '2026'
...
---
_id: '66842'
abstract:
- lang: ger
text: AnnoPy ist ein digitales Werkzeug, um kollaborativ Texte zu lesen, zu erschließen
und zu analysieren. Es ist für die Präsenzlehre konzipiert und unterstützt Lehrende
dabei, den Übergang von der individuellen Auseinandersetzung mit wissenschaftlichen
Texten hin zu einer kollaborativ-sozialen Aushandlung des Gelesenen in Lehrveranstaltungen
zu organisieren und zu strukturieren. Im Beitrag wird das digitale kollaborative
Tool AnnoPy vorgestellt und gezeigt, welche Potenziale sich für die Analyse von
Daten über Lernende durch die Integration von KI-basierter Learning Analytics
in das Tool ergeben. Anhand von exemplarischen Daten aus einer Vorlesung der Mathematikdidaktik
wird zunächst vorgestellt, wie in AnnoPy eine algorithmisch-händische Analyse
und Datenauswertung erfolgte, um dann diese Art der Auswertung mit einer KI-gestützten
Auswertung, bei der ein MCP-Server eingebunden wurde, zu vergleichen.
author:
- first_name: Oliver
full_name: Scholle, Oliver
id: '15099'
last_name: Scholle
- first_name: Sara
full_name: Rezat, Sara
id: '58338'
last_name: Rezat
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
- first_name: Dominik
full_name: Niehus, Dominik
last_name: Niehus
citation:
ama: 'Scholle O, Rezat S, Rezat S, Niehus D. AnnoPy – Potenziale von KI-basierter
Learning Analytics für die Förderung wissenschaftlicher Textkompetenz. In: Leschke
J, Queckenberg R, Persike M, eds. Learning Analytics, Artificial Intelligence
und Data Mining in der Hochschulbildung: Beiträge zur Learning AID 2025. transcript;
2026:171–182. doi:10.14361/9783839458761'
apa: 'Scholle, O., Rezat, S., Rezat, S., & Niehus, D. (2026). AnnoPy – Potenziale
von KI-basierter Learning Analytics für die Förderung wissenschaftlicher Textkompetenz.
In J. Leschke, R. Queckenberg, & M. Persike (Eds.), Learning Analytics,
Artificial Intelligence und Data Mining in der Hochschulbildung: Beiträge zur
Learning AID 2025 (pp. 171–182). transcript. https://doi.org/10.14361/9783839458761'
bibtex: '@inbook{Scholle_Rezat_Rezat_Niehus_2026, place={Bielefeld}, title={AnnoPy
– Potenziale von KI-basierter Learning Analytics für die Förderung wissenschaftlicher
Textkompetenz}, DOI={10.14361/9783839458761},
booktitle={Learning Analytics, Artificial Intelligence und Data Mining in der
Hochschulbildung: Beiträge zur Learning AID 2025}, publisher={transcript}, author={Scholle,
Oliver and Rezat, Sara and Rezat, Sebastian and Niehus, Dominik}, editor={Leschke,
Jonas and Queckenberg, Robert and Persike, Malte}, year={2026}, pages={171–182}
}'
chicago: 'Scholle, Oliver, Sara Rezat, Sebastian Rezat, and Dominik Niehus. “AnnoPy
– Potenziale von KI-basierter Learning Analytics für die Förderung wissenschaftlicher
Textkompetenz.” In Learning Analytics, Artificial Intelligence und Data Mining
in der Hochschulbildung: Beiträge zur Learning AID 2025, edited by Jonas Leschke,
Robert Queckenberg, and Malte Persike, 171–182. Bielefeld: transcript, 2026. https://doi.org/10.14361/9783839458761.'
ieee: 'O. Scholle, S. Rezat, S. Rezat, and D. Niehus, “AnnoPy – Potenziale von KI-basierter
Learning Analytics für die Förderung wissenschaftlicher Textkompetenz,” in Learning
Analytics, Artificial Intelligence und Data Mining in der Hochschulbildung: Beiträge
zur Learning AID 2025, J. Leschke, R. Queckenberg, and M. Persike, Eds. Bielefeld:
transcript, 2026, pp. 171–182.'
mla: 'Scholle, Oliver, et al. “AnnoPy – Potenziale von KI-basierter Learning Analytics
für die Förderung wissenschaftlicher Textkompetenz.” Learning Analytics, Artificial
Intelligence und Data Mining in der Hochschulbildung: Beiträge zur Learning AID
2025, edited by Jonas Leschke et al., transcript, 2026, pp. 171–182, doi:10.14361/9783839458761.'
short: 'O. Scholle, S. Rezat, S. Rezat, D. Niehus, in: J. Leschke, R. Queckenberg,
M. Persike (Eds.), Learning Analytics, Artificial Intelligence und Data Mining
in der Hochschulbildung: Beiträge zur Learning AID 2025, transcript, Bielefeld,
2026, pp. 171–182.'
date_created: 2026-08-25T07:09:25Z
date_updated: 2026-08-25T07:09:44Z
department:
- _id: '360'
doi: 10.14361/9783839458761
editor:
- first_name: Jonas
full_name: Leschke, Jonas
last_name: Leschke
- first_name: Robert
full_name: Queckenberg, Robert
last_name: Queckenberg
- first_name: Malte
full_name: Persike, Malte
last_name: Persike
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://www.transcript-verlag.de/978-3-8376-8045-4/learning-analytics-artificial-intelligence-und-data-mining-in-der-hochschulbildung/?number=978-3-8394-5876-1
oa: '1'
page: 171–182
place: Bielefeld
publication: 'Learning Analytics, Artificial Intelligence und Data Mining in der Hochschulbildung:
Beiträge zur Learning AID 2025'
publication_identifier:
isbn:
- 978-3-8376-8045-4
publication_status: published
publisher: transcript
quality_controlled: '1'
status: public
title: AnnoPy – Potenziale von KI-basierter Learning Analytics für die Förderung wissenschaftlicher
Textkompetenz
type: book_chapter
user_id: '31132'
year: '2026'
...
---
_id: '66836'
abstract:
- lang: eng
text: This qualitative case study investigates how automated feedback from a widely
accessible digital curriculum resource influences students’ mathematics learning.
Drawing on a dialogic feedback framework, the study analyzes students’ feedback
processes in an ecologically valid learning context. Grounded in a sociocultural
perspective, the framework integrates Carless’ dialogic conceptualization of feedback,
Shute’s feedback typology, and Vergnaud’s scheme theory. Eight eighth-graders
from a German secondary school worked individually on percentage problems at home,
video-recorded via online conferencing. Data included screen recordings and think-aloud
protocols, which were analyzed using qualitative text analysis. Results reveal
large individual differences in feedback processes—students vary in when and how
they access feedback messages and how they make sense of them. Successfully solving
a task after feedback does not always indicate understanding; in some cases, feedback
aided procedural completion without conceptual insight. The effectiveness depended
on the alignment between task design, feedback message content, and students’
actual difficulties. The study concludes that qualitative analysis of feedback
processes with digital technologies in ecologically valid settings is necessary
to target specific student difficulties and promote learning.
article_type: original
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
last_name: Rezat
citation:
ama: 'Rezat S. Students’ mathematical feedback processes using a digital curriculum
resource: A qualitative perspective. ZDM – Mathematics Education. Published
online 2026. doi:10.1007/s11858-026-01821-4'
apa: 'Rezat, S. (2026). Students’ mathematical feedback processes using a digital
curriculum resource: A qualitative perspective. ZDM – Mathematics Education.
https://doi.org/10.1007/s11858-026-01821-4'
bibtex: '@article{Rezat_2026, title={Students’ mathematical feedback processes using
a digital curriculum resource: A qualitative perspective}, DOI={10.1007/s11858-026-01821-4},
journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
Media LLC}, author={Rezat, Sebastian}, year={2026} }'
chicago: 'Rezat, Sebastian. “Students’ Mathematical Feedback Processes Using a Digital
Curriculum Resource: A Qualitative Perspective.” ZDM – Mathematics Education,
2026. https://doi.org/10.1007/s11858-026-01821-4.'
ieee: 'S. Rezat, “Students’ mathematical feedback processes using a digital curriculum
resource: A qualitative perspective,” ZDM – Mathematics Education, 2026,
doi: 10.1007/s11858-026-01821-4.'
mla: 'Rezat, Sebastian. “Students’ Mathematical Feedback Processes Using a Digital
Curriculum Resource: A Qualitative Perspective.” ZDM – Mathematics Education,
Springer Science and Business Media LLC, 2026, doi:10.1007/s11858-026-01821-4.'
short: S. Rezat, ZDM – Mathematics Education (2026).
date_created: 2026-08-24T14:17:44Z
date_updated: 2026-08-25T07:00:44Z
ddc:
- '370'
department:
- _id: '360'
doi: 10.1007/s11858-026-01821-4
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s11858-026-01821-4
oa: '1'
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: 'Students’ mathematical feedback processes using a digital curriculum resource:
A qualitative perspective'
type: journal_article
user_id: '31132'
year: '2026'
...
---
_id: '32099'
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Julia
full_name: Budde, Julia
last_name: Budde
citation:
ama: Weich T, Budde J. Wave Front Sets of Nilpotent Lie Group Representations. Journal
of Functional Analysis. 2025;288(1). doi:
https://doi.org/10.1016/j.jfa.2024.110684
apa: Weich, T., & Budde, J. (2025). Wave Front Sets of Nilpotent Lie Group Representations.
Journal of Functional Analysis, 288(1). https://doi.org/ https://doi.org/10.1016/j.jfa.2024.110684
bibtex: '@article{Weich_Budde_2025, title={Wave Front Sets of Nilpotent Lie Group
Representations}, volume={288}, DOI={
https://doi.org/10.1016/j.jfa.2024.110684}, number={1}, journal={Journal of
Functional Analysis}, author={Weich, Tobias and Budde, Julia}, year={2025} }'
chicago: Weich, Tobias, and Julia Budde. “Wave Front Sets of Nilpotent Lie Group
Representations.” Journal of Functional Analysis 288, no. 1 (2025). https://doi.org/
https://doi.org/10.1016/j.jfa.2024.110684.
ieee: 'T. Weich and J. Budde, “Wave Front Sets of Nilpotent Lie Group Representations,”
Journal of Functional Analysis, vol. 288, no. 1, 2025, doi: https://doi.org/10.1016/j.jfa.2024.110684.'
mla: Weich, Tobias, and Julia Budde. “Wave Front Sets of Nilpotent Lie Group Representations.”
Journal of Functional Analysis, vol. 288, no. 1, 2025, doi: https://doi.org/10.1016/j.jfa.2024.110684.
short: T. Weich, J. Budde, Journal of Functional Analysis 288 (2025).
date_created: 2022-06-22T09:56:43Z
date_updated: 2024-09-25T08:18:44Z
ddc:
- '510'
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: ' https://doi.org/10.1016/j.jfa.2024.110684'
file:
- access_level: open_access
content_type: application/pdf
creator: weich
date_created: 2022-06-22T09:56:39Z
date_updated: 2022-06-22T09:56:39Z
file_id: '32100'
file_name: 2103.02968.pdf
file_size: 978990
relation: main_file
file_date_updated: 2022-06-22T09:56:39Z
has_accepted_license: '1'
intvolume: ' 288'
issue: '1'
language:
- iso: eng
oa: '1'
project:
- _id: '356'
grant_number: '491392403'
name: 'TRR 358 - B02: TRR 358 - Spektraltheorie in höherem Rang und unendlichem
Volumen (Teilprojekt B02)'
- _id: '355'
grant_number: '422642921'
name: Mikrolokale Methoden für hyperbolische Dynamiken
publication: Journal of Functional Analysis
status: public
title: Wave Front Sets of Nilpotent Lie Group Representations
type: journal_article
user_id: '49178'
volume: 288
year: '2025'
...
---
_id: '56960'
article_number: '109361'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. Absence of dead-core formations in chemotaxis systems with degenerate
diffusion. Applied Mathematics Letters. 2025;161. doi:10.1016/j.aml.2024.109361
apa: Black, T. (2025). Absence of dead-core formations in chemotaxis systems with
degenerate diffusion. Applied Mathematics Letters, 161, Article
109361. https://doi.org/10.1016/j.aml.2024.109361
bibtex: '@article{Black_2025, title={Absence of dead-core formations in chemotaxis
systems with degenerate diffusion}, volume={161}, DOI={10.1016/j.aml.2024.109361},
number={109361}, journal={Applied Mathematics Letters}, publisher={Elsevier BV},
author={Black, Tobias}, year={2025} }'
chicago: Black, Tobias. “Absence of Dead-Core Formations in Chemotaxis Systems with
Degenerate Diffusion.” Applied Mathematics Letters 161 (2025). https://doi.org/10.1016/j.aml.2024.109361.
ieee: 'T. Black, “Absence of dead-core formations in chemotaxis systems with degenerate
diffusion,” Applied Mathematics Letters, vol. 161, Art. no. 109361, 2025,
doi: 10.1016/j.aml.2024.109361.'
mla: Black, Tobias. “Absence of Dead-Core Formations in Chemotaxis Systems with
Degenerate Diffusion.” Applied Mathematics Letters, vol. 161, 109361, Elsevier
BV, 2025, doi:10.1016/j.aml.2024.109361.
short: T. Black, Applied Mathematics Letters 161 (2025).
date_created: 2024-11-08T13:28:04Z
date_updated: 2024-11-08T13:30:02Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.aml.2024.109361
intvolume: ' 161'
language:
- iso: eng
publication: Applied Mathematics Letters
publication_identifier:
issn:
- 0893-9659
publication_status: published
publisher: Elsevier BV
status: public
title: Absence of dead-core formations in chemotaxis systems with degenerate diffusion
type: journal_article
user_id: '23686'
volume: 161
year: '2025'
...
---
_id: '57020'
abstract:
- lang: eng
text: 'AbstractIn this symposium we investigate
students’ agency of selecting and using (digital) resources for developing their
own learning paths. For that, we first review the literature related to students’
selection and use of resources in mathematics education in different pedagogical
settings (presentation 1). Second, we develop insights from the different studies
that participate in this symposium (presentation 2–6), at school as well as at
university level. Results show that attempts have been made to provide students
opportunities to develop agency of their mathematics learning, in particular with
the development and provision of numerous digital tools and learning resources
at university level and related to innovative pedagogical approaches. At the same
time, it is not obvious how these tools and resources help students to develop
deeper conceptual understandings. Certainly, students often ‘demand’ more student-centered
and autonomous education approaches (e.g., at university level), also in mathematics
education. Further, it seems that authentic problem-based education approaches
are more motivating for students. These ‘innovative’ approaches necessitate particular
types of structure and support for students. Moreover, they require different
ways of providing resources that students can and want to interact with, and that
help students to navigate through the curriculum to develop their own learning
paths. At the same time, teachers also need support on how to orchestrate student
learning with the available resources in such environments, so to be able to attend
to students’ individual needs. The symposium comprised altogether six presentations:Birgit
Pepin & Sebastian Rezat: Students’ agency of selecting and using (digital)
resources for developing their own learning paths: An overviewAnnalisa
Cusi & Agnese I. Telloni: Learning through digital curriculum resource design:
students’ reflections on their role as designersVilma Mesa, Lelia
Burley-Sanford, Xinyi Hao, & Carlos Quiroz: Interactive features in university
textbooks and their use by teachers and studentsSebastian Rezat:
Fostering university students’ reading and understanding of mathematical text
in a flipped classroom approach with a digital marking toolBirgit
Pepin & Ulises Salinas: Challenge/problem-based mathematics learning at university
level: The case of the modeling weekFarzad Radmehr: Problem-posing:
An inclusive activity for improving teaching and learning of mathematics at university
level'
author:
- first_name: Birgit
full_name: Pepin, Birgit
last_name: Pepin
- first_name: Sebastian
full_name: Rezat, Sebastian
last_name: Rezat
citation:
ama: 'Pepin B, Rezat S. Symposium—Towards innovative practices in mathematics education:
Teachers’ and students’ choice and use of digital resources. In: Qi C, Fan L,
Liu J, Liu Q, Dong L, eds. Recent Advances in Mathematics Textbook Research
and Development. Springer Nature; 2025:123–126. doi:10.1007/978-981-97-8426-4_17'
apa: 'Pepin, B., & Rezat, S. (2025). Symposium—Towards innovative practices
in mathematics education: Teachers’ and students’ choice and use of digital resources.
In C. Qi, L. Fan, J. Liu, Q. Liu, & L. Dong (Eds.), Recent Advances in
Mathematics Textbook Research and Development (pp. 123–126). Springer Nature.
https://doi.org/10.1007/978-981-97-8426-4_17'
bibtex: '@inbook{Pepin_Rezat_2025, place={Singapore}, title={Symposium—Towards innovative
practices in mathematics education: Teachers’ and students’ choice and use of
digital resources}, DOI={10.1007/978-981-97-8426-4_17},
booktitle={Recent Advances in Mathematics Textbook Research and Development},
publisher={Springer Nature}, author={Pepin, Birgit and Rezat, Sebastian}, editor={Qi,
Chunxia and Fan, Lianghuo and Liu, Jian and Liu, Qimeng and Dong, Lianchun}, year={2025},
pages={123–126} }'
chicago: 'Pepin, Birgit, and Sebastian Rezat. “Symposium—Towards Innovative Practices
in Mathematics Education: Teachers’ and Students’ Choice and Use of Digital Resources.”
In Recent Advances in Mathematics Textbook Research and Development, edited
by Chunxia Qi, Lianghuo Fan, Jian Liu, Qimeng Liu, and Lianchun Dong, 123–126.
Singapore: Springer Nature, 2025. https://doi.org/10.1007/978-981-97-8426-4_17.'
ieee: 'B. Pepin and S. Rezat, “Symposium—Towards innovative practices in mathematics
education: Teachers’ and students’ choice and use of digital resources,” in Recent
Advances in Mathematics Textbook Research and Development, C. Qi, L. Fan,
J. Liu, Q. Liu, and L. Dong, Eds. Singapore: Springer Nature, 2025, pp. 123–126.'
mla: 'Pepin, Birgit, and Sebastian Rezat. “Symposium—Towards Innovative Practices
in Mathematics Education: Teachers’ and Students’ Choice and Use of Digital Resources.”
Recent Advances in Mathematics Textbook Research and Development, edited
by Chunxia Qi et al., Springer Nature, 2025, pp. 123–126, doi:10.1007/978-981-97-8426-4_17.'
short: 'B. Pepin, S. Rezat, in: C. Qi, L. Fan, J. Liu, Q. Liu, L. Dong (Eds.), Recent
Advances in Mathematics Textbook Research and Development, Springer Nature, Singapore,
2025, pp. 123–126.'
date_created: 2024-11-12T16:15:48Z
date_updated: 2024-11-12T16:37:29Z
ddc:
- '510'
- '370'
department:
- _id: '360'
doi: 10.1007/978-981-97-8426-4_17
editor:
- first_name: Chunxia
full_name: Qi, Chunxia
last_name: Qi
- first_name: Lianghuo
full_name: Fan, Lianghuo
last_name: Fan
- first_name: Jian
full_name: Liu, Jian
last_name: Liu
- first_name: Qimeng
full_name: Liu, Qimeng
last_name: Liu
- first_name: Lianchun
full_name: Dong, Lianchun
last_name: Dong
file:
- access_level: closed
content_type: application/pdf
creator: srezat
date_created: 2024-11-12T16:18:30Z
date_updated: 2024-11-12T16:18:30Z
file_id: '57021'
file_name: 978-981-97-8426-4_17.pdf
file_size: 148089
relation: main_file
success: 1
file_date_updated: 2024-11-12T16:18:30Z
has_accepted_license: '1'
language:
- iso: eng
page: 123–126
place: Singapore
publication: Recent Advances in Mathematics Textbook Research and Development
publication_identifier:
isbn:
- '9789819784257'
- '9789819784264'
publication_status: published
publisher: Springer Nature
status: public
title: 'Symposium—Towards innovative practices in mathematics education: Teachers’
and students’ choice and use of digital resources'
type: book_chapter
user_id: '31132'
year: '2025'
...
---
_id: '57022'
abstract:
- lang: eng
text: AbstractEven in the digital age, learning
mathematics at an academic level still requires much interaction with mathematical
texts. Understanding and developing disciplinary literacy skills at all levels
is an increasing matter of interest.
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
last_name: Rezat
citation:
ama: 'Rezat S. Fostering university students’ reading and understanding of mathematical
text in a flipped classroom approach with a digital marking tool. In: Qi C, Fan
L, Liu J, Liu Q, Dong L, eds. Recent Advances in Mathematics Textbook Research
and Development. Springer Nature; 2025:133–136. doi:10.1007/978-981-97-8426-4_20'
apa: Rezat, S. (2025). Fostering university students’ reading and understanding
of mathematical text in a flipped classroom approach with a digital marking tool.
In C. Qi, L. Fan, J. Liu, Q. Liu, & L. Dong (Eds.), Recent Advances in
Mathematics Textbook Research and Development (pp. 133–136). Springer Nature.
https://doi.org/10.1007/978-981-97-8426-4_20
bibtex: '@inbook{Rezat_2025, place={Singapore}, title={Fostering university students’
reading and understanding of mathematical text in a flipped classroom approach
with a digital marking tool}, DOI={10.1007/978-981-97-8426-4_20},
booktitle={Recent Advances in Mathematics Textbook Research and Development},
publisher={Springer Nature}, author={Rezat, Sebastian}, editor={Qi, Chunxia and
Fan, Lianghuo and Liu, Jian and Liu, Qimeng and Dong, Lianchun}, year={2025},
pages={133–136} }'
chicago: 'Rezat, Sebastian. “Fostering University Students’ Reading and Understanding
of Mathematical Text in a Flipped Classroom Approach with a Digital Marking Tool.”
In Recent Advances in Mathematics Textbook Research and Development, edited
by Chunxia Qi, Lianghuo Fan, Jian Liu, Qimeng Liu, and Lianchun Dong, 133–136.
Singapore: Springer Nature, 2025. https://doi.org/10.1007/978-981-97-8426-4_20.'
ieee: 'S. Rezat, “Fostering university students’ reading and understanding of mathematical
text in a flipped classroom approach with a digital marking tool,” in Recent
Advances in Mathematics Textbook Research and Development, C. Qi, L. Fan,
J. Liu, Q. Liu, and L. Dong, Eds. Singapore: Springer Nature, 2025, pp. 133–136.'
mla: Rezat, Sebastian. “Fostering University Students’ Reading and Understanding
of Mathematical Text in a Flipped Classroom Approach with a Digital Marking Tool.”
Recent Advances in Mathematics Textbook Research and Development, edited
by Chunxia Qi et al., Springer Nature, 2025, pp. 133–136, doi:10.1007/978-981-97-8426-4_20.
short: 'S. Rezat, in: C. Qi, L. Fan, J. Liu, Q. Liu, L. Dong (Eds.), Recent Advances
in Mathematics Textbook Research and Development, Springer Nature, Singapore,
2025, pp. 133–136.'
date_created: 2024-11-12T16:24:39Z
date_updated: 2024-11-12T16:37:16Z
ddc:
- '370'
- '510'
department:
- _id: '360'
doi: 10.1007/978-981-97-8426-4_20
editor:
- first_name: Chunxia
full_name: Qi, Chunxia
last_name: Qi
- first_name: Lianghuo
full_name: Fan, Lianghuo
last_name: Fan
- first_name: Jian
full_name: Liu, Jian
last_name: Liu
- first_name: Qimeng
full_name: Liu, Qimeng
last_name: Liu
- first_name: Lianchun
full_name: Dong, Lianchun
last_name: Dong
file:
- access_level: closed
content_type: application/pdf
creator: srezat
date_created: 2024-11-12T16:27:26Z
date_updated: 2024-11-12T16:27:26Z
file_id: '57023'
file_name: 978-981-97-8426-4_20.pdf
file_size: 161830
relation: main_file
success: 1
file_date_updated: 2024-11-12T16:27:26Z
has_accepted_license: '1'
language:
- iso: eng
page: 133–136
place: Singapore
publication: Recent Advances in Mathematics Textbook Research and Development
publication_identifier:
isbn:
- '9789819784257'
- '9789819784264'
publication_status: published
publisher: Springer Nature
status: public
title: Fostering university students’ reading and understanding of mathematical text
in a flipped classroom approach with a digital marking tool
type: book_chapter
user_id: '31132'
year: '2025'
...
---
_id: '58353'
abstract:
- lang: eng
text: "Abstract\r\n Statistics and machine
learning are critical because they play an essential role in our everyday lives
and the careers we may pursue in the future. It may be beneficial to introduce
machine learning, such as decision trees (DTs), at an early stage of education.
The data-based construction of DTs is an example of a machine learning process,
which can be addressed in mathematics or statistics teaching because of relatively
low prior knowledge requirements. This paper focuses on investigating how sixth-grade
students create and evaluate data-based DTs. The basis is a teaching unit that
aims to lay the foundation for machine learning and enhance students’ understanding
of the process. We investigate students’ processes in detail while they build
DTs with data cards about food items to predict whether a new item is recommendable.
After the teaching unit, an interview study examines students’ strategies for
creating decision trees. The findings contribute to understanding students’ learning
processes and the challenges when working with decision trees."
author:
- first_name: Susanne
full_name: Podworny, Susanne
id: '30619'
last_name: Podworny
orcid: 0000-0002-6313-5987
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Yannik
full_name: Fleischer, Yannik
id: '42660'
last_name: Fleischer
orcid: https://orcid.org/0000-0003-0318-0329
citation:
ama: Podworny S, Biehler R, Fleischer Y. Young students’ engagement with data to
create decision trees. ZDM – Mathematics Education. Published online 2025.
doi:10.1007/s11858-024-01649-w
apa: Podworny, S., Biehler, R., & Fleischer, Y. (2025). Young students’ engagement
with data to create decision trees. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-024-01649-w
bibtex: '@article{Podworny_Biehler_Fleischer_2025, title={Young students’ engagement
with data to create decision trees}, DOI={10.1007/s11858-024-01649-w},
journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
Media LLC}, author={Podworny, Susanne and Biehler, Rolf and Fleischer, Yannik},
year={2025} }'
chicago: Podworny, Susanne, Rolf Biehler, and Yannik Fleischer. “Young Students’
Engagement with Data to Create Decision Trees.” ZDM – Mathematics Education,
2025. https://doi.org/10.1007/s11858-024-01649-w.
ieee: 'S. Podworny, R. Biehler, and Y. Fleischer, “Young students’ engagement with
data to create decision trees,” ZDM – Mathematics Education, 2025, doi:
10.1007/s11858-024-01649-w.'
mla: Podworny, Susanne, et al. “Young Students’ Engagement with Data to Create Decision
Trees.” ZDM – Mathematics Education, Springer Science and Business Media
LLC, 2025, doi:10.1007/s11858-024-01649-w.
short: S. Podworny, R. Biehler, Y. Fleischer, ZDM – Mathematics Education (2025).
date_created: 2025-01-24T07:55:53Z
date_updated: 2025-01-24T07:57:00Z
department:
- _id: '363'
doi: 10.1007/s11858-024-01649-w
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/article/10.1007/s11858-024-01649-w
oa: '1'
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Young students’ engagement with data to create decision trees
type: journal_article
user_id: '37888'
year: '2025'
...
---
_id: '59414'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
orcid: 0000-0001-6278-4240
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
citation:
ama: Häsel-Weide U, Nührenbörger M. Unterrichtsintegrierte Förderung von mathematischen
Basiskompetenzen. Empirische Rekonstruktion interferierender Praktiken der Förderung
im Mathematikunterricht der Grundschule. Zeitschrift für Grundschulforschung.
Published online 2025. doi: https://doi.org/10.1007/s42278-025-00223-x
apa: Häsel-Weide, U., & Nührenbörger, M. (2025). Unterrichtsintegrierte Förderung
von mathematischen Basiskompetenzen. Empirische Rekonstruktion interferierender
Praktiken der Förderung im Mathematikunterricht der Grundschule. Zeitschrift
für Grundschulforschung. https://doi.org/ https://doi.org/10.1007/s42278-025-00223-x
bibtex: '@article{Häsel-Weide_Nührenbörger_2025, title={Unterrichtsintegrierte Förderung
von mathematischen Basiskompetenzen. Empirische Rekonstruktion interferierender
Praktiken der Förderung im Mathematikunterricht der Grundschule}, DOI={ https://doi.org/10.1007/s42278-025-00223-x
}, journal={Zeitschrift für Grundschulforschung}, author={Häsel-Weide, Uta
and Nührenbörger, M.}, year={2025} }'
chicago: Häsel-Weide, Uta, and M. Nührenbörger. “Unterrichtsintegrierte Förderung
von mathematischen Basiskompetenzen. Empirische Rekonstruktion interferierender
Praktiken der Förderung im Mathematikunterricht der Grundschule.” Zeitschrift
für Grundschulforschung, 2025. https://doi.org/ https://doi.org/10.1007/s42278-025-00223-x .
ieee: 'U. Häsel-Weide and M. Nührenbörger, “Unterrichtsintegrierte Förderung von
mathematischen Basiskompetenzen. Empirische Rekonstruktion interferierender Praktiken
der Förderung im Mathematikunterricht der Grundschule,” Zeitschrift für Grundschulforschung,
2025, doi: https://doi.org/10.1007/s42278-025-00223-x .'
mla: Häsel-Weide, Uta, and M. Nührenbörger. “Unterrichtsintegrierte Förderung von
mathematischen Basiskompetenzen. Empirische Rekonstruktion interferierender Praktiken
der Förderung im Mathematikunterricht der Grundschule.” Zeitschrift für Grundschulforschung,
2025, doi: https://doi.org/10.1007/s42278-025-00223-x .
short: U. Häsel-Weide, M. Nührenbörger, Zeitschrift für Grundschulforschung (2025).
date_created: 2025-04-07T10:48:48Z
date_updated: 2025-04-07T10:49:18Z
department:
- _id: '543'
doi: ' https://doi.org/10.1007/s42278-025-00223-x '
language:
- iso: ger
publication: Zeitschrift für Grundschulforschung
status: public
title: Unterrichtsintegrierte Förderung von mathematischen Basiskompetenzen. Empirische
Rekonstruktion interferierender Praktiken der Förderung im Mathematikunterricht
der Grundschule
type: journal_article
user_id: '44184'
year: '2025'
...
---
_id: '59622'
abstract:
- lang: eng
text: "Abstract\r\n This study explores
how high school students construct decision trees using data cards and the software
CODAP (codap.concord.org) in interviews after attending a teaching unit. We conceptualized
data-based decision tree construction using nine key aspects that we intended
to teach, tested variations of two design elements in teaching, and analyzed the
interviews qualitatively to compare student behavior to intended outcomes. We
found high alignment to intentions but also deviations in data activities and
informal or context-based rather than data-based reasoning. The design element
of context-free (blinded) data seems to enhance data-based reasoning, while the
design element of data card use showed diagnostic potential."
author:
- first_name: Yannik
full_name: Fleischer, Yannik
id: '42660'
last_name: Fleischer
orcid: https://orcid.org/0000-0003-0318-0329
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Fleischer Y, Biehler R. Exploring students’ constructions of data-based decision
trees after an introductory teaching unit on machine learning. ZDM – Mathematics
Education. 2025;57(1). doi:10.1007/s11858-025-01663-6
apa: Fleischer, Y., & Biehler, R. (2025). Exploring students’ constructions
of data-based decision trees after an introductory teaching unit on machine learning.
ZDM – Mathematics Education, 57(1). https://doi.org/10.1007/s11858-025-01663-6
bibtex: '@article{Fleischer_Biehler_2025, title={Exploring students’ constructions
of data-based decision trees after an introductory teaching unit on machine learning},
volume={57}, DOI={10.1007/s11858-025-01663-6},
number={1}, journal={ZDM – Mathematics Education}, publisher={Springer Science
and Business Media LLC}, author={Fleischer, Yannik and Biehler, Rolf}, year={2025}
}'
chicago: Fleischer, Yannik, and Rolf Biehler. “Exploring Students’ Constructions
of Data-Based Decision Trees after an Introductory Teaching Unit on Machine Learning.”
ZDM – Mathematics Education 57, no. 1 (2025). https://doi.org/10.1007/s11858-025-01663-6.
ieee: 'Y. Fleischer and R. Biehler, “Exploring students’ constructions of data-based
decision trees after an introductory teaching unit on machine learning,” ZDM
– Mathematics Education, vol. 57, no. 1, 2025, doi: 10.1007/s11858-025-01663-6.'
mla: Fleischer, Yannik, and Rolf Biehler. “Exploring Students’ Constructions of
Data-Based Decision Trees after an Introductory Teaching Unit on Machine Learning.”
ZDM – Mathematics Education, vol. 57, no. 1, Springer Science and Business
Media LLC, 2025, doi:10.1007/s11858-025-01663-6.
short: Y. Fleischer, R. Biehler, ZDM – Mathematics Education 57 (2025).
date_created: 2025-04-22T07:59:07Z
date_updated: 2025-04-22T08:00:59Z
department:
- _id: '363'
doi: 10.1007/s11858-025-01663-6
intvolume: ' 57'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/s11858-025-01663-6
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Exploring students’ constructions of data-based decision trees after an introductory
teaching unit on machine learning
type: journal_article
user_id: '37888'
volume: 57
year: '2025'
...
---
_id: '59664'
abstract:
- lang: eng
text: "Given a sequence of polynomials $(P_n)_{n \\in \\mathbb{N}}$ with only\r\nnonpositive
zeros, the aim of this article is to present a user-friendly\r\napproach for determining
the limiting zero distribution of $P_n$ as\r\n$\\mathrm{deg}\\, P_n \\to \\infty$.
The method is based on establishing an\r\nequivalence between the existence of
a limiting empirical zero distribution\r\n$\\mu$ and the existence of an exponential
profile $g$ associated with the\r\ncoefficients of the polynomials $(P_n)_{n \\in
\\mathbb{N}}$. The exponential\r\nprofile $g$, which can be roughly described
by $[z^k]P_n(z) \\approx \\exp(n\r\ng(k/n))$, offers a direct route to computing
the Cauchy transform $G$ of $\\mu$:\r\nthe functions $t \\mapsto tG(t)$ and $\\alpha
\\mapsto \\exp(-g'(\\alpha))$ are\r\nmutual inverses. This relationship, in various
forms, has previously appeared\r\nin the literature, most notably in the paper
[Van Assche, Fano and Ortolani,\r\nSIAM J. Math. Anal., 1987].\r\n As a first
contribution, we present a self-contained probabilistic proof of\r\nthis equivalence
by representing the polynomials as generating functions of\r\nsums of independent
Bernoulli random variables. This probabilistic framework\r\nnaturally lends itself
to tools from large deviation theory, such as the\r\nexponential change of measure.
The resulting theorems generalize and unify a\r\nrange of previously known results,
which were traditionally established through\r\nanalytic or combinatorial methods.\r\n
\ Secondly, using the profile-based approach, we investigate how the\r\nexponential
profile and the limiting zero distribution behave under certain\r\noperations
on polynomials, including finite free convolutions, Hadamard\r\nproducts, and
repeated differentiation. In particular, our approach yields new\r\nproofs of
the convergence results `$\\boxplus_n \\to \\boxplus$' and `$\\boxtimes_n\r\n\\to
\\boxtimes$', extending them to cases where the distributions are not\r\nnecessarily
compactly supported."
author:
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Zakhar
full_name: Kabluchko, Zakhar
last_name: Kabluchko
- first_name: Alexander
full_name: Marynych, Alexander
last_name: Marynych
citation:
ama: 'Jalowy J, Kabluchko Z, Marynych A. Zeros and exponential profiles of polynomials
I: Limit distributions, finite free convolutions and repeated differentiation.
arXiv:250411593. Published online 2025.'
apa: 'Jalowy, J., Kabluchko, Z., & Marynych, A. (2025). Zeros and exponential
profiles of polynomials I: Limit distributions, finite free convolutions and
repeated differentiation. In arXiv:2504.11593.'
bibtex: '@article{Jalowy_Kabluchko_Marynych_2025, title={Zeros and exponential profiles
of polynomials I: Limit distributions, finite free convolutions and repeated
differentiation}, journal={arXiv:2504.11593}, author={Jalowy, Jonas and Kabluchko,
Zakhar and Marynych, Alexander}, year={2025} }'
chicago: 'Jalowy, Jonas, Zakhar Kabluchko, and Alexander Marynych. “Zeros and Exponential
Profiles of Polynomials I: Limit Distributions, Finite Free Convolutions and
Repeated Differentiation.” ArXiv:2504.11593, 2025.'
ieee: 'J. Jalowy, Z. Kabluchko, and A. Marynych, “Zeros and exponential profiles
of polynomials I: Limit distributions, finite free convolutions and repeated
differentiation,” arXiv:2504.11593. 2025.'
mla: 'Jalowy, Jonas, et al. “Zeros and Exponential Profiles of Polynomials I: Limit
Distributions, Finite Free Convolutions and Repeated Differentiation.” ArXiv:2504.11593,
2025.'
short: J. Jalowy, Z. Kabluchko, A. Marynych, ArXiv:2504.11593 (2025).
date_created: 2025-04-23T14:37:41Z
date_updated: 2025-04-23T14:38:04Z
department:
- _id: '94'
external_id:
arxiv:
- '2504.11593'
language:
- iso: eng
publication: arXiv:2504.11593
status: public
title: 'Zeros and exponential profiles of polynomials I: Limit distributions, finite
free convolutions and repeated differentiation'
type: preprint
user_id: '113768'
year: '2025'
...