---
_id: '59053'
author:
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Frischemeier D, Biehler R. Förderung von statistischem Denken im Mathematikunterricht
der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten. Stochastik in
der Schule. 2025;45(1):22-33.'
apa: 'Frischemeier, D., & Biehler, R. (2025). Förderung von statistischem Denken
im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten.
Stochastik in der Schule, 45(1), 22–33.'
bibtex: '@article{Frischemeier_Biehler_2025, title={Förderung von statistischem
Denken im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten},
volume={45}, number={1}, journal={Stochastik in der Schule}, author={Frischemeier,
Daniel and Biehler, Rolf}, year={2025}, pages={22–33} }'
chicago: 'Frischemeier, Daniel, and Rolf Biehler. “Förderung von statistischem Denken
im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten.”
Stochastik in der Schule 45, no. 1 (2025): 22–33.'
ieee: 'D. Frischemeier and R. Biehler, “Förderung von statistischem Denken im Mathematikunterricht
der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten,” Stochastik
in der Schule, vol. 45, no. 1, pp. 22–33, 2025.'
mla: 'Frischemeier, Daniel, and Rolf Biehler. “Förderung von statistischem Denken
im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten.”
Stochastik in der Schule, vol. 45, no. 1, 2025, pp. 22–33.'
short: D. Frischemeier, R. Biehler, Stochastik in der Schule 45 (2025) 22–33.
date_created: 2025-03-17T09:02:59Z
date_updated: 2025-03-17T09:03:05Z
department:
- _id: '363'
intvolume: ' 45'
issue: '1'
language:
- iso: ger
page: 22-33
publication: Stochastik in der Schule
status: public
title: 'Förderung von statistischem Denken im Mathematikunterricht der Primarstufe:
Bedeutsame Ideen und Förderungsmöglichkeiten'
type: journal_article
user_id: '37888'
volume: 45
year: '2025'
...
---
_id: '59169'
abstract:
- lang: eng
text: An r-regular graph is an r-graph, if every odd set of vertices is connected
to its complement by at least r edges. Let G and H be r-graphs. An H-coloring
of G is a mapping such that each r adjacent edges of G are mapped to r adjacent
edges of H. For every , let be an inclusion-wise minimal set of connected r-graphs,
such that for every connected r-graph G there is an which colors G. The Petersen
Coloring Conjecture states that consists of the Petersen graph P. We show that
if true, then this is a very exclusive situation. Our main result is that either
or is an infinite set and if , then is an infinite set. In particular, for all
, is unique. We first characterize and then prove that if contains more than one
element, then it is an infinite set. To obtain our main result we show that contains
the smallest r-graphs of class 2 and the smallest poorly matchable r-graphs, and
we determine the smallest r-graphs of class 2.
article_number: '16'
author:
- first_name: Yulai
full_name: Ma, Yulai
last_name: Ma
- first_name: Davide
full_name: Mattiolo, Davide
last_name: Mattiolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak H.
full_name: Wolf, Isaak H.
last_name: Wolf
citation:
ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Sets of r-Graphs that Color All r-Graphs.
Combinatorica. 2025;45(2). doi:10.1007/s00493-025-00144-4
apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2025). Sets of r-Graphs
that Color All r-Graphs. Combinatorica, 45(2), Article 16. https://doi.org/10.1007/s00493-025-00144-4
bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2025, title={Sets of r-Graphs that Color
All r-Graphs}, volume={45}, DOI={10.1007/s00493-025-00144-4},
number={216}, journal={Combinatorica}, publisher={Springer Science and Business
Media LLC}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf,
Isaak H.}, year={2025} }'
chicago: Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak H. Wolf. “Sets of
R-Graphs That Color All r-Graphs.” Combinatorica 45, no. 2 (2025). https://doi.org/10.1007/s00493-025-00144-4.
ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Sets of r-Graphs that Color
All r-Graphs,” Combinatorica, vol. 45, no. 2, Art. no. 16, 2025, doi: 10.1007/s00493-025-00144-4.'
mla: Ma, Yulai, et al. “Sets of R-Graphs That Color All r-Graphs.” Combinatorica,
vol. 45, no. 2, 16, Springer Science and Business Media LLC, 2025, doi:10.1007/s00493-025-00144-4.
short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 45 (2025).
date_created: 2025-03-27T09:46:34Z
date_updated: 2025-03-27T09:48:48Z
department:
- _id: '542'
doi: 10.1007/s00493-025-00144-4
intvolume: ' 45'
issue: '2'
language:
- iso: eng
publication: Combinatorica
publication_identifier:
issn:
- 0209-9683
- 1439-6912
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Sets of r-Graphs that Color All r-Graphs
type: journal_article
user_id: '15540'
volume: 45
year: '2025'
...
---
_id: '60205'
article_number: '113555'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: 'Black T. Very mild diffusion enhancement and singular sensitivity: Existence
of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system.
Journal of Differential Equations. 2025;443. doi:10.1016/j.jde.2025.113555'
apa: 'Black, T. (2025). Very mild diffusion enhancement and singular sensitivity:
Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes
system. Journal of Differential Equations, 443, Article 113555.
https://doi.org/10.1016/j.jde.2025.113555'
bibtex: '@article{Black_2025, title={Very mild diffusion enhancement and singular
sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes
system}, volume={443}, DOI={10.1016/j.jde.2025.113555},
number={113555}, journal={Journal of Differential Equations}, publisher={Elsevier
BV}, author={Black, Tobias}, year={2025} }'
chicago: 'Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity:
Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Differential Equations 443 (2025). https://doi.org/10.1016/j.jde.2025.113555.'
ieee: 'T. Black, “Very mild diffusion enhancement and singular sensitivity: Existence
of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system,”
Journal of Differential Equations, vol. 443, Art. no. 113555, 2025, doi:
10.1016/j.jde.2025.113555.'
mla: 'Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity:
Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Differential Equations, vol. 443, 113555, Elsevier
BV, 2025, doi:10.1016/j.jde.2025.113555.'
short: T. Black, Journal of Differential Equations 443 (2025).
date_created: 2025-06-13T11:12:23Z
date_updated: 2025-06-13T11:13:22Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.jde.2025.113555
intvolume: ' 443'
language:
- iso: eng
publication: Journal of Differential Equations
publication_identifier:
issn:
- 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: 'Very mild diffusion enhancement and singular sensitivity: Existence of bounded
weak solutions in a two-dimensional chemotaxis-Navier–Stokes system'
type: journal_article
user_id: '23686'
volume: 443
year: '2025'
...
---
_id: '60293'
abstract:
- lang: eng
text: "In this work, we present a complete characterization of the covariance\r\nstructure
of number statistics in boxes for hyperuniform point processes. Under\r\na standard
integrability assumption, the covariance depends solely on the\r\noverlap of the
faces of the box. Beyond this assumption, a novel interpolating\r\ncovariance
structure emerges. This enables us to identify a limiting Gaussian\r\n'coarse-grained'
process, counting the number of points in large boxes as a\r\nfunction of the
box position. Depending on the integrability assumption, this\r\nprocess may be
continuous or discontinuous, e.g. in d=1 it is given by an\r\nincrement process
of a fractional Brownian motion."
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. arXiv:250613661.
Published online 2025.
apa: Jalowy, J., & Stange, H. (2025). Box-Covariances of Hyperuniform Point
Processes. In arXiv:2506.13661.
bibtex: '@article{Jalowy_Stange_2025, title={Box-Covariances of Hyperuniform Point
Processes}, journal={arXiv:2506.13661}, author={Jalowy, Jonas and Stange, Hanna},
year={2025} }'
chicago: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point
Processes.” ArXiv:2506.13661, 2025.
ieee: J. Jalowy and H. Stange, “Box-Covariances of Hyperuniform Point Processes,”
arXiv:2506.13661. 2025.
mla: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point Processes.”
ArXiv:2506.13661, 2025.
short: J. Jalowy, H. Stange, ArXiv:2506.13661 (2025).
date_created: 2025-06-22T08:02:28Z
date_updated: 2025-06-22T08:03:20Z
department:
- _id: '94'
external_id:
arxiv:
- '2506.13661'
language:
- iso: eng
publication: arXiv:2506.13661
status: public
title: Box-Covariances of Hyperuniform Point Processes
type: preprint
user_id: '113768'
year: '2025'
...
---
_id: '60351'
abstract:
- lang: eng
text: This article is a short summary of the report of survey team 3, presented
to the 15th International Congress on Mathematical Education (ICME-15) in Sydney
in July 2024.
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Takashi
full_name: Kawakami, Takashi
last_name: Kawakami
- first_name: Erna
full_name: Lampen, Erna
last_name: Lampen
- first_name: Travis
full_name: Weiland, Travis
last_name: Weiland
- first_name: Lucía
full_name: Zapata-Cardona, Lucía
last_name: Zapata-Cardona
citation:
ama: Biehler R, Kawakami T, Lampen E, Weiland T, Zapata-Cardona L. Statistics and
data science education as a vehicle for empowering citizens – short summary of
a survey. European Mathematical Society Magazine. Published online 2025.
doi:10.4171/mag/257
apa: Biehler, R., Kawakami, T., Lampen, E., Weiland, T., & Zapata-Cardona, L.
(2025). Statistics and data science education as a vehicle for empowering citizens
– short summary of a survey. European Mathematical Society Magazine. https://doi.org/10.4171/mag/257
bibtex: '@article{Biehler_Kawakami_Lampen_Weiland_Zapata-Cardona_2025, title={Statistics
and data science education as a vehicle for empowering citizens – short summary
of a survey}, DOI={10.4171/mag/257},
journal={European Mathematical Society Magazine}, publisher={European Mathematical
Society - EMS - Publishing House GmbH}, author={Biehler, Rolf and Kawakami, Takashi
and Lampen, Erna and Weiland, Travis and Zapata-Cardona, Lucía}, year={2025} }'
chicago: Biehler, Rolf, Takashi Kawakami, Erna Lampen, Travis Weiland, and Lucía
Zapata-Cardona. “Statistics and Data Science Education as a Vehicle for Empowering
Citizens – Short Summary of a Survey.” European Mathematical Society Magazine,
2025. https://doi.org/10.4171/mag/257.
ieee: 'R. Biehler, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona, “Statistics
and data science education as a vehicle for empowering citizens – short summary
of a survey,” European Mathematical Society Magazine, 2025, doi: 10.4171/mag/257.'
mla: Biehler, Rolf, et al. “Statistics and Data Science Education as a Vehicle for
Empowering Citizens – Short Summary of a Survey.” European Mathematical Society
Magazine, European Mathematical Society - EMS - Publishing House GmbH, 2025,
doi:10.4171/mag/257.
short: R. Biehler, T. Kawakami, E. Lampen, T. Weiland, L. Zapata-Cardona, European
Mathematical Society Magazine (2025).
date_created: 2025-06-24T06:58:17Z
date_updated: 2025-06-24T06:59:42Z
department:
- _id: '363'
doi: 10.4171/mag/257
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.4171/MAG/257
oa: '1'
publication: European Mathematical Society Magazine
publication_identifier:
issn:
- 2747-7894
- 2747-7908
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Statistics and data science education as a vehicle for empowering citizens
– short summary of a survey
type: journal_article
user_id: '37888'
year: '2025'
...
---
_id: '53805'
abstract:
- lang: eng
text: The article introduces a method to learn dynamical systems that are governed
by Euler–Lagrange equations from data. The method is based on Gaussian process
regression and identifies continuous or discrete Lagrangians and is, therefore,
structure preserving by design. A rigorous proof of convergence as the distance
between observation data points converges to zero and lower bounds for convergence
rates are provided. Next to convergence guarantees, the method allows for quantification
of model uncertainty, which can provide a basis of adaptive sampling techniques.
We provide efficient uncertainty quantification of any observable that is linear
in the Lagrangian, including of Hamiltonian functions (energy) and symplectic
structures, which is of interest in the context of system identification. The
article overcomes major practical and theoretical difficulties related to the
ill-posedness of the identification task of (discrete) Lagrangians through a careful
design of geometric regularisation strategies and through an exploit of a relation
to convex minimisation problems in reproducing kernel Hilbert spaces.
article_type: original
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
citation:
ama: Offen C. Machine learning of continuous and discrete variational ODEs with
convergence guarantee and uncertainty quantification. Mathematics of Computation.
Published online 2025. doi:10.1090/mcom/4120
apa: Offen, C. (2025). Machine learning of continuous and discrete variational ODEs
with convergence guarantee and uncertainty quantification. Mathematics of Computation.
https://doi.org/10.1090/mcom/4120
bibtex: '@article{Offen_2025, title={Machine learning of continuous and discrete
variational ODEs with convergence guarantee and uncertainty quantification}, DOI={10.1090/mcom/4120}, journal={Mathematics
of Computation}, publisher={American Mathematical Society}, author={Offen, Christian},
year={2025} }'
chicago: Offen, Christian. “Machine Learning of Continuous and Discrete Variational
ODEs with Convergence Guarantee and Uncertainty Quantification.” Mathematics
of Computation, 2025. https://doi.org/10.1090/mcom/4120.
ieee: 'C. Offen, “Machine learning of continuous and discrete variational ODEs with
convergence guarantee and uncertainty quantification,” Mathematics of Computation,
2025, doi: 10.1090/mcom/4120.'
mla: Offen, Christian. “Machine Learning of Continuous and Discrete Variational
ODEs with Convergence Guarantee and Uncertainty Quantification.” Mathematics
of Computation, American Mathematical Society, 2025, doi:10.1090/mcom/4120.
short: C. Offen, Mathematics of Computation (2025).
date_created: 2024-04-30T16:04:40Z
date_updated: 2025-06-29T13:03:55Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1090/mcom/4120
external_id:
arxiv:
- arXiv:2404.19626
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2025-05-02T13:20:31Z
date_updated: 2025-05-02T13:20:31Z
description: |-
The article introduces a method to learn dynamical systems that
are governed by Euler–Lagrange equations from data. The method is based on
Gaussian process regression and identifies continuous or discrete Lagrangians
and is, therefore, structure preserving by design. A rigorous proof of con-
vergence as the distance between observation data points converges to zero
and lower bounds for convergence rates are provided. Next to convergence
guarantees, the method allows for quantification of model uncertainty, which
can provide a basis of adaptive sampling techniques. We provide efficient uncertainty quantification of any observable that is linear in the Lagrangian,
including of Hamiltonian functions (energy) and symplectic structures, which
is of interest in the context of system identification. The article overcomes
major practical and theoretical difficulties related to the ill-posedness of the
identification task of (discrete) Lagrangians through a careful design of geometric regularisation strategies and through an exploit of a relation to convex
minimisation problems in reproducing kernel Hilbert spaces.
file_id: '59759'
file_name: L_Collocation_ODE_mcom-l-template.pdf
file_size: 1819189
relation: main_file
title: 'Machine learning of continuous and discrete variational ODEs with convergence
guarantee and uncertainty quantification '
file_date_updated: 2025-05-02T13:20:31Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Mathematics of Computation
publication_status: epub_ahead
publisher: American Mathematical Society
quality_controlled: '1'
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Christian-Offen/Lagrangian_GP
status: public
title: Machine learning of continuous and discrete variational ODEs with convergence
guarantee and uncertainty quantification
type: journal_article
user_id: '85279'
year: '2025'
...
---
_id: '60495'
author:
- first_name: Susanne
full_name: Podworny, Susanne
id: '30619'
last_name: Podworny
orcid: 0000-0002-6313-5987
- 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: Podworny S, Fleischer Y, Biehler R. Explorative Datenanalyse in der Schule
– Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten. Stochastik
in der Schule. 2025;45(2):9-16.
apa: Podworny, S., Fleischer, Y., & Biehler, R. (2025). Explorative Datenanalyse
in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.
Stochastik in der Schule, 45(2), 9–16.
bibtex: '@article{Podworny_Fleischer_Biehler_2025, title={Explorative Datenanalyse
in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten},
volume={45}, number={2}, journal={Stochastik in der Schule}, author={Podworny,
Susanne and Fleischer, Yannik and Biehler, Rolf}, year={2025}, pages={9–16} }'
chicago: 'Podworny, Susanne, Yannik Fleischer, and Rolf Biehler. “Explorative Datenanalyse
in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.”
Stochastik in der Schule 45, no. 2 (2025): 9–16.'
ieee: S. Podworny, Y. Fleischer, and R. Biehler, “Explorative Datenanalyse in der
Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten,” Stochastik
in der Schule, vol. 45, no. 2, pp. 9–16, 2025.
mla: Podworny, Susanne, et al. “Explorative Datenanalyse in der Schule – Analyse
der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.” Stochastik in der
Schule, vol. 45, no. 2, 2025, pp. 9–16.
short: S. Podworny, Y. Fleischer, R. Biehler, Stochastik in der Schule 45 (2025)
9–16.
date_created: 2025-07-02T09:45:14Z
date_updated: 2025-07-02T09:45:22Z
department:
- _id: '363'
intvolume: ' 45'
issue: '2'
language:
- iso: ger
page: 9-16
publication: Stochastik in der Schule
publication_status: published
status: public
title: Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen
mit den YOU‑PB Daten
type: journal_article
user_id: '37888'
volume: 45
year: '2025'
...
---
_id: '60532'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Carsten
full_name: Schulte, Carsten
id: '60311'
last_name: Schulte
citation:
ama: 'Biehler R, Schulte C. Lessons Learned from the ProDaBi Project: Shaping Perspectives
at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science
Literacy in Schools Across Disciplines. In: Proceedings of the 1st Symposium
on Integrating AI and Data Science into School Education Across Disciplines (AIDEA
1 2025), Salzburg, Austria. ; 2025.'
apa: 'Biehler, R., & Schulte, C. (2025). Lessons Learned from the ProDaBi Project:
Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering
AI and Data Science Literacy in Schools Across Disciplines. In Proceedings
of the 1st Symposium on Integrating AI and Data Science into School Education
Across Disciplines (AIDEA 1 2025), Salzburg, Austria.'
bibtex: '@inbook{Biehler_Schulte_2025, title={Lessons Learned from the ProDaBi Project:
Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering
AI and Data Science Literacy in Schools Across Disciplines.}, booktitle={Proceedings
of the 1st Symposium on Integrating AI and Data Science into School Education
Across Disciplines (AIDEA 1 2025), Salzburg, Austria}, author={Biehler, Rolf and
Schulte, Carsten}, year={2025} }'
chicago: 'Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi
Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards
Fostering AI and Data Science Literacy in Schools Across Disciplines.” In Proceedings
of the 1st Symposium on Integrating AI and Data Science into School Education
Across Disciplines (AIDEA 1 2025), Salzburg, Austria, 2025.'
ieee: 'R. Biehler and C. Schulte, “Lessons Learned from the ProDaBi Project: Shaping
Perspectives at the Intersection of Data, AI, and Education Towards Fostering
AI and Data Science Literacy in Schools Across Disciplines.,” in Proceedings
of the 1st Symposium on Integrating AI and Data Science into School Education
Across Disciplines (AIDEA 1 2025), Salzburg, Austria, 2025.'
mla: 'Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi Project:
Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering
AI and Data Science Literacy in Schools Across Disciplines.” Proceedings of
the 1st Symposium on Integrating AI and Data Science into School Education Across
Disciplines (AIDEA 1 2025), Salzburg, Austria, 2025.'
short: 'R. Biehler, C. Schulte, in: Proceedings of the 1st Symposium on Integrating
AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg,
Austria, 2025.'
date_created: 2025-07-07T07:24:30Z
date_updated: 2025-07-07T07:24:35Z
department:
- _id: '363'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://openreview.net/forum?id=TGsuaghKD3
oa: '1'
publication: Proceedings of the 1st Symposium on Integrating AI and Data Science into
School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria
status: public
title: 'Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection
of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools
Across Disciplines.'
type: book_chapter
user_id: '37888'
year: '2025'
...
---
_id: '60816'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
orcid: 0000-0001-6278-4240
- first_name: S.
full_name: Hußmann, S.
last_name: Hußmann
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Hußmann S, Nührenbörger M. Flexibles Addieren und Subtrahieren
im Zahlenraum bis 100. In: Rechtsteiner C, ed. Rechnen richtig lernen - flexibel,
für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für
die Grundschule. Klett Kallmeyer; 2025:71-80.'
apa: Häsel-Weide, U., Hußmann, S., & Nührenbörger, M. (2025). Flexibles Addieren
und Subtrahieren im Zahlenraum bis 100. In C. Rechtsteiner (Ed.), Rechnen richtig
lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und
Lernangebote für die Grundschule (pp. 71–80). Klett Kallmeyer.
bibtex: '@inbook{Häsel-Weide_Hußmann_Nührenbörger_2025, title={ Flexibles Addieren
und Subtrahieren im Zahlenraum bis 100}, booktitle={Rechnen richtig lernen -
flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote
für die Grundschule}, publisher={Klett Kallmeyer}, author={Häsel-Weide, Uta and
Hußmann, S. and Nührenbörger, M.}, editor={Rechtsteiner, C.}, year={2025}, pages={71–80}
}'
chicago: Häsel-Weide, Uta, S. Hußmann, and M. Nührenbörger. “ Flexibles Addieren
und Subtrahieren im Zahlenraum bis 100.” In Rechnen richtig lernen - flexibel,
für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für
die Grundschule, edited by C. Rechtsteiner, 71–80. Klett Kallmeyer, 2025.
ieee: U. Häsel-Weide, S. Hußmann, and M. Nührenbörger, “ Flexibles Addieren und
Subtrahieren im Zahlenraum bis 100,” in Rechnen richtig lernen - flexibel,
für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für
die Grundschule, C. Rechtsteiner, Ed. Klett Kallmeyer, 2025, pp. 71–80.
mla: Häsel-Weide, Uta, et al. “ Flexibles Addieren und Subtrahieren im Zahlenraum
bis 100.” Rechnen richtig lernen - flexibel, für alle und von Anfang an. Fachdidaktische
Hintergründe und Lernangebote für die Grundschule, edited by C. Rechtsteiner,
Klett Kallmeyer, 2025, pp. 71–80.
short: 'U. Häsel-Weide, S. Hußmann, M. Nührenbörger, in: C. Rechtsteiner (Ed.),
Rechnen richtig lernen - flexibel, für alle und von Anfang an. Fachdidaktische
Hintergründe und Lernangebote für die Grundschule, Klett Kallmeyer, 2025, pp.
71–80.'
date_created: 2025-07-29T09:30:04Z
date_updated: 2025-07-29T09:30:28Z
department:
- _id: '543'
editor:
- first_name: C.
full_name: Rechtsteiner, C.
last_name: Rechtsteiner
language:
- iso: ger
page: 71-80
publication: Rechnen richtig lernen - flexibel, für alle und von Anfang an. Fachdidaktische
Hintergründe und Lernangebote für die Grundschule
publisher: Klett Kallmeyer
status: public
title: ' Flexibles Addieren und Subtrahieren im Zahlenraum bis 100'
type: book_chapter
user_id: '44184'
year: '2025'
...
---
_id: '60860'
author:
- first_name: Franz Yannik
full_name: Fleischer, Franz 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 FY, Biehler R. ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING
DECISION TREES IN THE CLASSROOM. In: Cornejo C, Felmer P, Gomez DM, et al., eds.
Proceedings of the 48th Conference of the International Group for the Psychology
of Mathematics Education: Research Reports, Vol. 1 . ; 2025:267-274.'
apa: 'Fleischer, F. Y., & Biehler, R. (2025). ANALYZING STUDENTS’INFORMAL APPROACHES
TO CREATING DECISION TREES IN THE CLASSROOM. In C. Cornejo, P. Felmer, D. M. Gomez,
P. Dartnell, P. Araya, A. Peri, & V. Randolph (Eds.), Proceedings of the
48th Conference of the International Group for the Psychology of Mathematics Education:
Research Reports, Vol. 1 (pp. 267–274).'
bibtex: '@inproceedings{Fleischer_Biehler_2025, title={ANALYZING STUDENTS’INFORMAL
APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM}, booktitle={Proceedings
of the 48th Conference of the International Group for the Psychology of Mathematics
Education: Research Reports, Vol. 1 }, author={Fleischer, Franz Yannik and Biehler,
Rolf}, editor={Cornejo, C. and Felmer, P. and Gomez, D.M. and Dartnell, P. and
Araya, P. and Peri, A. and Randolph, V.}, year={2025}, pages={267–274} }'
chicago: 'Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL
APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM.” In Proceedings of
the 48th Conference of the International Group for the Psychology of Mathematics
Education: Research Reports, Vol. 1 , edited by C. Cornejo, P. Felmer, D.M.
Gomez, P. Dartnell, P. Araya, A. Peri, and V. Randolph, 267–74, 2025.'
ieee: 'F. Y. Fleischer and R. Biehler, “ANALYZING STUDENTS’INFORMAL APPROACHES TO
CREATING DECISION TREES IN THE CLASSROOM,” in Proceedings of the 48th Conference
of the International Group for the Psychology of Mathematics Education: Research
Reports, Vol. 1 , 2025, pp. 267–274.'
mla: 'Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL APPROACHES
TO CREATING DECISION TREES IN THE CLASSROOM.” Proceedings of the 48th Conference
of the International Group for the Psychology of Mathematics Education: Research
Reports, Vol. 1 , edited by C. Cornejo et al., 2025, pp. 267–74.'
short: 'F.Y. Fleischer, R. Biehler, in: C. Cornejo, P. Felmer, D.M. Gomez, P. Dartnell,
P. Araya, A. Peri, V. Randolph (Eds.), Proceedings of the 48th Conference of the
International Group for the Psychology of Mathematics Education: Research Reports,
Vol. 1 , 2025, pp. 267–274.'
date_created: 2025-08-04T07:15:39Z
date_updated: 2025-08-04T07:17:59Z
department:
- _id: '363'
editor:
- first_name: C.
full_name: Cornejo, C.
last_name: Cornejo
- first_name: P.
full_name: Felmer, P.
last_name: Felmer
- first_name: D.M.
full_name: Gomez, D.M.
last_name: Gomez
- first_name: P.
full_name: Dartnell, P.
last_name: Dartnell
- first_name: P.
full_name: Araya, P.
last_name: Araya
- first_name: A.
full_name: Peri, A.
last_name: Peri
- first_name: V.
full_name: Randolph, V.
last_name: Randolph
language:
- iso: eng
page: 267-274
publication: 'Proceedings of the 48th Conference of the International Group for the
Psychology of Mathematics Education: Research Reports, Vol. 1 '
status: public
title: ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM
type: conference
user_id: '37888'
year: '2025'
...
---
_id: '61042'
abstract:
- lang: eng
text: We introduce the concept of a k-token signed graph and study some of its combinatorial
and algebraic properties. We prove that two switching isomorphic signed graphs
have switching isomorphic token graphs. Moreover, we show that the Laplacian spectrum
of a balanced signed graph is contained in the Laplacian spectra of its k-token
signed graph. Besides, we introduce and study the unbalance level of a signed
graph, which is a new parameter that measures how far a signed graph is from being
balanced. Moreover, we study the relation between the frustration index and the
unbalance level of signed graphs and their token signed graphs.
article_number: '7'
author:
- first_name: C.
full_name: Dalfó, C.
last_name: Dalfó
- first_name: M. A.
full_name: Fiol, M. A.
last_name: Fiol
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
citation:
ama: Dalfó C, Fiol MA, Steffen E. On token signed graphs. Journal of Algebraic
Combinatorics. 2025;62(1). doi:10.1007/s10801-025-01416-4
apa: Dalfó, C., Fiol, M. A., & Steffen, E. (2025). On token signed graphs. Journal
of Algebraic Combinatorics, 62(1), Article 7. https://doi.org/10.1007/s10801-025-01416-4
bibtex: '@article{Dalfó_Fiol_Steffen_2025, title={On token signed graphs}, volume={62},
DOI={10.1007/s10801-025-01416-4},
number={17}, journal={Journal of Algebraic Combinatorics}, publisher={Springer
Science and Business Media LLC}, author={Dalfó, C. and Fiol, M. A. and Steffen,
Eckhard}, year={2025} }'
chicago: Dalfó, C., M. A. Fiol, and Eckhard Steffen. “On Token Signed Graphs.” Journal
of Algebraic Combinatorics 62, no. 1 (2025). https://doi.org/10.1007/s10801-025-01416-4.
ieee: 'C. Dalfó, M. A. Fiol, and E. Steffen, “On token signed graphs,” Journal
of Algebraic Combinatorics, vol. 62, no. 1, Art. no. 7, 2025, doi: 10.1007/s10801-025-01416-4.'
mla: Dalfó, C., et al. “On Token Signed Graphs.” Journal of Algebraic Combinatorics,
vol. 62, no. 1, 7, Springer Science and Business Media LLC, 2025, doi:10.1007/s10801-025-01416-4.
short: C. Dalfó, M.A. Fiol, E. Steffen, Journal of Algebraic Combinatorics 62 (2025).
date_created: 2025-08-28T07:50:03Z
date_updated: 2025-08-28T07:57:27Z
department:
- _id: '542'
doi: 10.1007/s10801-025-01416-4
intvolume: ' 62'
issue: '1'
language:
- iso: eng
publication: Journal of Algebraic Combinatorics
publication_identifier:
issn:
- 0925-9899
- 1572-9192
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On token signed graphs
type: journal_article
user_id: '15540'
volume: 62
year: '2025'
...
---
_id: '61125'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Angela
full_name: Schmitz, Angela
last_name: Schmitz
- first_name: Birte
full_name: Reich, Birte
last_name: Reich
citation:
ama: Biehler R, Liebendörfer M, Schmitz A, Reich B. studiVEMINT Mathematik-Online-Vorkurs
jetzt mit 300 integrierten Lernvideos frei verfügbar. Mitteilungen der Deutschen
Mathematiker-Vereinigung. 2025;33(3):170–171.
apa: Biehler, R., Liebendörfer, M., Schmitz, A., & Reich, B. (2025). studiVEMINT
Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar.
Mitteilungen der Deutschen Mathematiker-Vereinigung, 33(3), 170–171.
bibtex: '@article{Biehler_Liebendörfer_Schmitz_Reich_2025, title={studiVEMINT Mathematik-Online-Vorkurs
jetzt mit 300 integrierten Lernvideos frei verfügbar}, volume={33}, number={3},
journal={Mitteilungen der Deutschen Mathematiker-Vereinigung}, publisher={De Gruyter},
author={Biehler, Rolf and Liebendörfer, Michael and Schmitz, Angela and Reich,
Birte}, year={2025}, pages={170–171} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, Angela Schmitz, and Birte Reich.
“studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei
verfügbar.” Mitteilungen der Deutschen Mathematiker-Vereinigung 33, no.
3 (2025): 170–171.'
ieee: R. Biehler, M. Liebendörfer, A. Schmitz, and B. Reich, “studiVEMINT Mathematik-Online-Vorkurs
jetzt mit 300 integrierten Lernvideos frei verfügbar,” Mitteilungen der Deutschen
Mathematiker-Vereinigung, vol. 33, no. 3, pp. 170–171, 2025.
mla: Biehler, Rolf, et al. “studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300
integrierten Lernvideos frei verfügbar.” Mitteilungen der Deutschen Mathematiker-Vereinigung,
vol. 33, no. 3, De Gruyter, 2025, pp. 170–171.
short: R. Biehler, M. Liebendörfer, A. Schmitz, B. Reich, Mitteilungen der Deutschen
Mathematiker-Vereinigung 33 (2025) 170–171.
date_created: 2025-09-04T09:23:47Z
date_updated: 2025-09-04T09:25:03Z
department:
- _id: '363'
intvolume: ' 33'
issue: '3'
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://doi.org/10.1515/dmvm-2025-0053
oa: '1'
page: 170–171
publication: Mitteilungen der Deutschen Mathematiker-Vereinigung
publication_status: published
publisher: De Gruyter
status: public
title: studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos
frei verfügbar
type: journal_article
user_id: '37888'
volume: 33
year: '2025'
...
---
_id: '54970'
author:
- first_name: Carolin
full_name: Quack, Carolin
id: '77311'
last_name: Quack
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
citation:
ama: Quack C, Bruns J. Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten
als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer
Fachkräfte. Frühe Bildung. 2025;14(2):72-78. doi:https://doi.org/10.1026/2191-9186/a000712
apa: Quack, C., & Bruns, J. (2025). Mathematikbezogenes Wissen, Einstellungen
und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung
angehender frühpädagogischer Fachkräfte. Frühe Bildung, 14(2), 72–78.
https://doi.org/10.1026/2191-9186/a000712
bibtex: '@article{Quack_Bruns_2025, title={Mathematikbezogenes Wissen, Einstellungen
und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung
angehender frühpädagogischer Fachkräfte}, volume={14}, DOI={https://doi.org/10.1026/2191-9186/a000712},
number={2}, journal={Frühe Bildung}, author={Quack, Carolin and Bruns, Julia},
year={2025}, pages={72–78} }'
chicago: 'Quack, Carolin, and Julia Bruns. “Mathematikbezogenes Wissen, Einstellungen
und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung
angehender frühpädagogischer Fachkräfte.” Frühe Bildung 14, no. 2 (2025):
72–78. https://doi.org/10.1026/2191-9186/a000712.'
ieee: 'C. Quack and J. Bruns, “Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten
als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer
Fachkräfte,” Frühe Bildung, vol. 14, no. 2, pp. 72–78, 2025, doi: https://doi.org/10.1026/2191-9186/a000712.'
mla: Quack, Carolin, and Julia Bruns. “Mathematikbezogenes Wissen, Einstellungen
und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung
angehender frühpädagogischer Fachkräfte.” Frühe Bildung, vol. 14, no. 2,
2025, pp. 72–78, doi:https://doi.org/10.1026/2191-9186/a000712.
short: C. Quack, J. Bruns, Frühe Bildung 14 (2025) 72–78.
date_created: 2024-07-02T07:31:26Z
date_updated: 2026-03-11T14:31:13Z
department:
- _id: '611'
doi: https://doi.org/10.1026/2191-9186/a000712
intvolume: ' 14'
issue: '2'
language:
- iso: ger
page: 72-78
publication: Frühe Bildung
status: public
title: Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten als Einflussfaktoren
der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachkräfte
type: journal_article
user_id: '72183'
volume: 14
year: '2025'
...
---
_id: '62291'
abstract:
- lang: eng
text: |-
In [Jalowy, Kabluchko, Marynych, arXiv:2504.11593v1, 2025], the authors discuss a user-friendly approach to determine the limiting empirical zero distribution of a sequence of real-rooted polynomials, as the degree goes to $\infty$. In this note, we aim to apply it to a vast range of examples of polynomials providing a unifying source for limiting empirical zero distributions.
We cover Touchard, Fubini, Eulerian, Narayana and little $q$-Laguerre polynomials as well as hypergeometric polynomials including the classical Hermite, Laguerre and Jacobi polynomials. We construct polynomials whose empirical zero distributions converge to the free multiplicative normal and Poisson distributions. Furthermore, we study polynomials generated by some differential operators. As one inverse result, we derive coefficient asymptotics of the characteristic polynomial of random covariance matrices.
citation:
ama: 'Zeros and exponential profiles of polynomials II: Examples. Published online
2025. doi:10.48550/ARXIV.2509.11248'
apa: 'Zeros and exponential profiles of polynomials II: Examples. (2025).
https://doi.org/10.48550/ARXIV.2509.11248'
bibtex: '@article{Zeros and exponential profiles of polynomials II: Examples_2025,
DOI={10.48550/ARXIV.2509.11248},
year={2025} }'
chicago: '“Zeros and Exponential Profiles of Polynomials II: Examples,” 2025. https://doi.org/10.48550/ARXIV.2509.11248.'
ieee: '“Zeros and exponential profiles of polynomials II: Examples,” 2025, doi:
10.48550/ARXIV.2509.11248.'
mla: 'Zeros and Exponential Profiles of Polynomials II: Examples. 2025, doi:10.48550/ARXIV.2509.11248.'
short: (2025).
date_created: 2025-11-24T13:55:55Z
date_updated: 2026-03-19T14:45:35Z
department:
- _id: '94'
doi: 10.48550/ARXIV.2509.11248
status: public
title: 'Zeros and exponential profiles of polynomials II: Examples'
type: journal_article
user_id: '113768'
year: '2025'
...
---
_id: '56131'
abstract:
- lang: eng
text: 'This article provides a comprehensive mathematical-didactic analysis of how
the highly relevant topic symmetry can be prepared for the university education
of PSTs. Methodologically, the analysis is embedded in a design research cycle
and serves as preparation for the actual design of learning activities. The procedure
of "specifying and structuring" learning objects is used and adapted in such a
way that, in addition to mathematical aspects, profession-oriented references
to school mathematics are also considered. An essential result of the analysis
is the formulation of so-called interface aspects to symmetry, which prove to
be helpful in establishing such references. '
article_type: original
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: Hoffmann M. Symmetry as a Topic for the University Education of Pre-Service
Teachers. Recherches en Didactique des Mathématiques. 2025;45(2):85-120.
doi:10.46298/rdm.14256
apa: Hoffmann, M. (2025). Symmetry as a Topic for the University Education of Pre-Service
Teachers. Recherches En Didactique Des Mathématiques, 45(2), 85–120.
https://doi.org/10.46298/rdm.14256
bibtex: '@article{Hoffmann_2025, title={Symmetry as a Topic for the University Education
of Pre-Service Teachers}, volume={45}, DOI={10.46298/rdm.14256},
number={2}, journal={Recherches en Didactique des Mathématiques}, author={Hoffmann,
Max}, year={2025}, pages={85–120} }'
chicago: 'Hoffmann, Max. “Symmetry as a Topic for the University Education of Pre-Service
Teachers.” Recherches En Didactique Des Mathématiques 45, no. 2 (2025):
85–120. https://doi.org/10.46298/rdm.14256.'
ieee: 'M. Hoffmann, “Symmetry as a Topic for the University Education of Pre-Service
Teachers,” Recherches en Didactique des Mathématiques, vol. 45, no. 2,
pp. 85–120, 2025, doi: 10.46298/rdm.14256.'
mla: Hoffmann, Max. “Symmetry as a Topic for the University Education of Pre-Service
Teachers.” Recherches En Didactique Des Mathématiques, vol. 45, no. 2,
2025, pp. 85–120, doi:10.46298/rdm.14256.
short: M. Hoffmann, Recherches En Didactique Des Mathématiques 45 (2025) 85–120.
date_created: 2024-09-14T08:08:22Z
date_updated: 2026-03-30T13:52:29Z
department:
- _id: '97'
- _id: '643'
doi: 10.46298/rdm.14256
intvolume: ' 45'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://rdm.episciences.org/17761/pdf
oa: '1'
page: 85-120
publication: Recherches en Didactique des Mathématiques
publication_status: published
quality_controlled: '1'
status: public
title: Symmetry as a Topic for the University Education of Pre-Service Teachers
type: journal_article
user_id: '32202'
volume: 45
year: '2025'
...
---
_id: '65246'
author:
- first_name: Max
full_name: Hoffmann, Max
last_name: Hoffmann
citation:
ama: 'Hoffmann M. Using scriptwriting as a response format for interface tasks:
Exemplary analyses in the context of symmetry. In: Bosch M, Bolondi G, Carreira
S, Gaidoschik M, Spagnolo C, eds. Proceedings of the Fourteenth Congress of
the European Society for Research in Mathematics Education (CERME14). Free
University of Bozen-Bolzano and ERME; 2025:2245-2252.'
apa: 'Hoffmann, M. (2025). Using scriptwriting as a response format for interface
tasks: Exemplary analyses in the context of symmetry. In M. Bosch, G. Bolondi,
S. Carreira, M. Gaidoschik, & C. Spagnolo (Eds.), Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14)
(pp. 2245–2252). Free University of Bozen-Bolzano and ERME.'
bibtex: '@inproceedings{Hoffmann_2025, title={Using scriptwriting as a response
format for interface tasks: Exemplary analyses in the context of symmetry}, booktitle={Proceedings
of the Fourteenth Congress of the European Society for Research in Mathematics
Education (CERME14)}, publisher={Free University of Bozen-Bolzano and ERME}, author={Hoffmann,
Max}, editor={Bosch, Marianna and Bolondi, Giorgio and Carreira, Susana and Gaidoschik,
Michael and Spagnolo, Camilla}, year={2025}, pages={2245–2252} }'
chicago: 'Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface
Tasks: Exemplary Analyses in the Context of Symmetry.” In Proceedings of the
Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14), edited by Marianna Bosch, Giorgio Bolondi, Susana Carreira, Michael
Gaidoschik, and Camilla Spagnolo, 2245–52. Free University of Bozen-Bolzano and
ERME, 2025.'
ieee: 'M. Hoffmann, “Using scriptwriting as a response format for interface tasks:
Exemplary analyses in the context of symmetry,” in Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14),
2025, pp. 2245–2252.'
mla: 'Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface Tasks:
Exemplary Analyses in the Context of Symmetry.” Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14),
edited by Marianna Bosch et al., Free University of Bozen-Bolzano and ERME, 2025,
pp. 2245–52.'
short: 'M. Hoffmann, in: M. Bosch, G. Bolondi, S. Carreira, M. Gaidoschik, C. Spagnolo
(Eds.), Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14), Free University of Bozen-Bolzano and ERME,
2025, pp. 2245–2252.'
date_created: 2026-03-30T14:57:31Z
date_updated: 2026-03-30T15:03:09Z
department:
- _id: '97'
- _id: '643'
editor:
- first_name: Marianna
full_name: Bosch, Marianna
last_name: Bosch
- first_name: Giorgio
full_name: Bolondi, Giorgio
last_name: Bolondi
- first_name: Susana
full_name: Carreira, Susana
last_name: Carreira
- first_name: Michael
full_name: Gaidoschik, Michael
last_name: Gaidoschik
- first_name: Camilla
full_name: Spagnolo, Camilla
last_name: Spagnolo
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.science/CERME14/hal-05237875v1
oa: '1'
page: 2245-2252
publication: Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14)
publication_status: published
publisher: Free University of Bozen-Bolzano and ERME
quality_controlled: '1'
status: public
title: 'Using scriptwriting as a response format for interface tasks: Exemplary analyses
in the context of symmetry'
type: conference
user_id: '32202'
year: '2025'
...
---
_id: '53413'
abstract:
- lang: eng
text: "For negatively curved symmetric spaces it is known that the poles of the\r\nscattering
matrices defined via the standard intertwining operators for the\r\nspherical
principal representations of the isometry group are either given as\r\npoles of
the intertwining operators or as quantum resonances, i.e. poles of the\r\nmeromorphically
continued resolvents of the Laplace-Beltrami operator. We\r\nextend this result
to classical locally symmetric spaces of negative curvature\r\nwith convex-cocompact
fundamental group using results of Bunke and Olbrich. The\r\nmethod of proof forces
us to exclude the spectral parameters corresponding to\r\nsingular Poisson transforms."
article_type: original
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Delarue B, Hilgert J. Quantum resonances and scattering poles of classical
rank one locally symmetric spaces. Journal of Lie Theory. 35((4)):787--804.
apa: Delarue, B., & Hilgert, J. (n.d.). Quantum resonances and scattering poles
of classical rank one locally symmetric spaces. Journal of Lie Theory,
35((4)), 787--804.
bibtex: '@article{Delarue_Hilgert, title={Quantum resonances and scattering poles
of classical rank one locally symmetric spaces}, volume={35}, number={(4)}, journal={Journal
of Lie Theory}, author={Delarue, Benjamin and Hilgert, Joachim}, pages={787--804}
}'
chicago: 'Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering
Poles of Classical Rank One Locally Symmetric Spaces.” Journal of Lie Theory
35, no. (4) (n.d.): 787--804.'
ieee: B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical
rank one locally symmetric spaces,” Journal of Lie Theory, vol. 35, no.
(4), pp. 787--804.
mla: Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering
Poles of Classical Rank One Locally Symmetric Spaces.” Journal of Lie Theory,
vol. 35, no. (4), pp. 787--804.
short: B. Delarue, J. Hilgert, Journal of Lie Theory 35 (n.d.) 787--804.
date_created: 2024-04-11T12:31:18Z
date_updated: 2026-03-31T09:07:17Z
department:
- _id: '548'
intvolume: ' 35'
issue: (4)
language:
- iso: eng
page: 787--804
publication: Journal of Lie Theory
publication_identifier:
issn:
- 0949-5932
publication_status: inpress
status: public
title: Quantum resonances and scattering poles of classical rank one locally symmetric
spaces
type: journal_article
user_id: '220'
volume: 35
year: '2025'
...
---
_id: '65657'
author:
- first_name: Jan Sören
full_name: Hoffmann, Jan Sören
id: '85112'
last_name: Hoffmann
- first_name: Hans-Jürgen
full_name: Stoppel, Hans-Jürgen
id: '101162'
last_name: Stoppel
citation:
ama: Hoffmann JS, Stoppel H-J. Das Sieb des Eratosthenes. mathematik lehren.
2025;(253):8-12.
apa: Hoffmann, J. S., & Stoppel, H.-J. (2025). Das Sieb des Eratosthenes. mathematik
lehren, 253, 8–12.
bibtex: '@article{Hoffmann_Stoppel_2025, title={Das Sieb des Eratosthenes}, number={253},
journal={mathematik lehren}, author={Hoffmann, Jan Sören and Stoppel, Hans-Jürgen},
year={2025}, pages={8–12} }'
chicago: 'Hoffmann, Jan Sören, and Hans-Jürgen Stoppel. “Das Sieb des Eratosthenes.”
mathematik lehren, no. 253 (2025): 8–12.'
ieee: J. S. Hoffmann and H.-J. Stoppel, “Das Sieb des Eratosthenes,” mathematik
lehren, no. 253, pp. 8–12, 2025.
mla: Hoffmann, Jan Sören, and Hans-Jürgen Stoppel. “Das Sieb des Eratosthenes.”
mathematik lehren, no. 253, 2025, pp. 8–12.
short: J.S. Hoffmann, H.-J. Stoppel, mathematik lehren (2025) 8–12.
date_created: 2026-05-20T08:00:36Z
date_updated: 2026-05-21T09:24:56Z
department:
- _id: '360'
- _id: '643'
issue: '253'
language:
- iso: ger
page: 8-12
publication: mathematik lehren
publication_status: published
status: public
title: Das Sieb des Eratosthenes
type: journal_article
user_id: '85112'
year: '2025'
...
---
_id: '65713'
author:
- first_name: Hans-Jürgen
full_name: Stoppel, Hans-Jürgen
id: '101162'
last_name: Stoppel
- first_name: Simon
full_name: Plangg, Simon
last_name: Plangg
- first_name: Carina
full_name: Büscher, Carina
last_name: Büscher
citation:
ama: Stoppel H-J, Plangg S, Büscher C. Mathematik weiterdenken - Wie informatisches
Denken die Mathematik stärkt. mathemathik lehren. 2025;(253):2-7.
apa: Stoppel, H.-J., Plangg, S., & Büscher, C. (2025). Mathematik weiterdenken
- Wie informatisches Denken die Mathematik stärkt. mathemathik lehren,
253, 2–7.
bibtex: '@article{Stoppel_Plangg_Büscher_2025, title={Mathematik weiterdenken -
Wie informatisches Denken die Mathematik stärkt}, number={253}, journal={mathemathik
lehren}, publisher={Friedrich Verlag}, author={Stoppel, Hans-Jürgen and Plangg,
Simon and Büscher, Carina}, year={2025}, pages={2–7} }'
chicago: 'Stoppel, Hans-Jürgen, Simon Plangg, and Carina Büscher. “Mathematik weiterdenken
- Wie informatisches Denken die Mathematik stärkt.” mathemathik lehren,
no. 253 (2025): 2–7.'
ieee: H.-J. Stoppel, S. Plangg, and C. Büscher, “Mathematik weiterdenken - Wie informatisches
Denken die Mathematik stärkt,” mathemathik lehren, no. 253, pp. 2–7, 2025.
mla: Stoppel, Hans-Jürgen, et al. “Mathematik weiterdenken - Wie informatisches
Denken die Mathematik stärkt.” mathemathik lehren, no. 253, Friedrich Verlag,
2025, pp. 2–7.
short: H.-J. Stoppel, S. Plangg, C. Büscher, mathemathik lehren (2025) 2–7.
date_created: 2026-05-29T06:12:11Z
date_updated: 2026-05-29T08:44:23Z
department:
- _id: '98'
issue: '253'
language:
- iso: ger
page: 2-7
publication: mathemathik lehren
publication_status: published
publisher: Friedrich Verlag
status: public
title: Mathematik weiterdenken - Wie informatisches Denken die Mathematik stärkt
type: journal_article
user_id: '101162'
year: '2025'
...
---
_id: '64806'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: T.
full_name: Kawakami, T.
last_name: Kawakami
- first_name: E.
full_name: Lampen, E.
last_name: Lampen
- first_name: T.
full_name: Weiland, T.
last_name: Weiland
- first_name: L.
full_name: Zapata-Cardona, L.
last_name: Zapata-Cardona
citation:
ama: 'Biehler R, Kawakami T, Lampen E, Weiland T, Zapata-Cardona L. Statistics and
data science education as a vehicle for empowering citizens – short summary of
a survey. In: Beswick K, Kaur B, Makar K, Ochoviet C, Venkat H, eds. Proceedings
of the 15th International Congress on Mathematical Education. Vol 1. MERGA;
2025:198-203.'
apa: Biehler, R., Kawakami, T., Lampen, E., Weiland, T., & Zapata-Cardona, L.
(2025). Statistics and data science education as a vehicle for empowering citizens
– short summary of a survey. In K. Beswick, B. Kaur, K. Makar, C. Ochoviet, &
H. Venkat (Eds.), Proceedings of the 15th International Congress on Mathematical
Education (Vol. 1, pp. 198–203). MERGA.
bibtex: '@inbook{Biehler_Kawakami_Lampen_Weiland_Zapata-Cardona_2025, title={Statistics
and data science education as a vehicle for empowering citizens – short summary
of a survey}, volume={1}, booktitle={Proceedings of the 15th International Congress
on Mathematical Education}, publisher={MERGA}, author={Biehler, Rolf and Kawakami,
T. and Lampen, E. and Weiland, T. and Zapata-Cardona, L.}, editor={Beswick, K.
and Kaur, B. and Makar, K. and Ochoviet, C. and Venkat, H.}, year={2025}, pages={198–203}
}'
chicago: Biehler, Rolf, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona.
“Statistics and Data Science Education as a Vehicle for Empowering Citizens –
Short Summary of a Survey.” In Proceedings of the 15th International Congress
on Mathematical Education, edited by K. Beswick, B. Kaur, K. Makar, C. Ochoviet,
and H. Venkat, 1:198–203. MERGA, 2025.
ieee: R. Biehler, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona, “Statistics
and data science education as a vehicle for empowering citizens – short summary
of a survey,” in Proceedings of the 15th International Congress on Mathematical
Education, vol. 1, K. Beswick, B. Kaur, K. Makar, C. Ochoviet, and H. Venkat,
Eds. MERGA, 2025, pp. 198–203.
mla: Biehler, Rolf, et al. “Statistics and Data Science Education as a Vehicle for
Empowering Citizens – Short Summary of a Survey.” Proceedings of the 15th International
Congress on Mathematical Education, edited by K. Beswick et al., vol. 1, MERGA,
2025, pp. 198–203.
short: 'R. Biehler, T. Kawakami, E. Lampen, T. Weiland, L. Zapata-Cardona, in: K.
Beswick, B. Kaur, K. Makar, C. Ochoviet, H. Venkat (Eds.), Proceedings of the
15th International Congress on Mathematical Education, MERGA, 2025, pp. 198–203.'
date_created: 2026-03-02T12:18:38Z
date_updated: 2026-07-09T11:23:23Z
department:
- _id: '363'
editor:
- first_name: K.
full_name: Beswick, K.
last_name: Beswick
- first_name: B.
full_name: Kaur, B.
last_name: Kaur
- first_name: K.
full_name: Makar, K.
last_name: Makar
- first_name: C.
full_name: Ochoviet, C.
last_name: Ochoviet
- first_name: H.
full_name: Venkat, H.
last_name: Venkat
intvolume: ' 1'
language:
- iso: eng
page: 198-203
publication: Proceedings of the 15th International Congress on Mathematical Education
publication_status: published
publisher: MERGA
status: public
title: Statistics and data science education as a vehicle for empowering citizens
– short summary of a survey
type: book_chapter
user_id: '37888'
volume: 1
year: '2025'
...