---
_id: '51841'
abstract:
- lang: ger
text: 'athematische Kompetenzen digital zu fördern und digitale Kompetenzen mathematisch
zu fördern – dies ist eine Forderung der neuen Bildungsstandards mit Blick auf
eine Bildung in der digitalen Welt. Gerade das Potenzial digitaler Medien für
das fachliche Lernen wurde in vielen Studien bestätigt. Eine sinnvoll gestaltete
Einbettung digitaler Medien bietet die Chance, allen fünf Prinzipien eines guten
Unterrichts gerecht zu werden: Verstehensorientierung, Durchgängigkeit, kognitive
Aktivierung, Lernendenorientierung & Adaptivität und Kommunikationsförderung.
Die flächendeckende Nutzung digitaler Medien etabliert sich bislang nur zögerlich.
Aber wie können wir Lehrkräfte stärken, digitale Medien sinnvoll einzusetzen?
Wir möchten hier die Bandbreite der Möglichkeiten an Beispielen verdeutlichen,
ihren Einsatz motivieren und Wege für einen guten Unterricht aufzeigen.'
article_type: original
author:
- first_name: Bärbel
full_name: Barzel, Bärbel
last_name: Barzel
- first_name: Gilbert
full_name: Greefrath, Gilbert
last_name: Greefrath
- first_name: Mareike
full_name: Nagel, Mareike
last_name: Nagel
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: Barzel B, Greefrath G, Nagel M, Hoffmann M. Digitalisierung als Chance für
alle Prinzipien guten Unterrichts. mathematik lehren. 2024;242:42-47.
apa: Barzel, B., Greefrath, G., Nagel, M., & Hoffmann, M. (2024). Digitalisierung
als Chance für alle Prinzipien guten Unterrichts. mathematik lehren, 242,
42–47.
bibtex: '@article{Barzel_Greefrath_Nagel_Hoffmann_2024, title={Digitalisierung als
Chance für alle Prinzipien guten Unterrichts}, volume={242}, journal={mathematik
lehren}, author={Barzel, Bärbel and Greefrath, Gilbert and Nagel, Mareike and
Hoffmann, Max}, year={2024}, pages={42–47} }'
chicago: 'Barzel, Bärbel, Gilbert Greefrath, Mareike Nagel, and Max Hoffmann. “Digitalisierung
als Chance für alle Prinzipien guten Unterrichts.” mathematik lehren 242
(2024): 42–47.'
ieee: B. Barzel, G. Greefrath, M. Nagel, and M. Hoffmann, “Digitalisierung als Chance
für alle Prinzipien guten Unterrichts,” mathematik lehren, vol. 242, pp.
42–47, 2024.
mla: Barzel, Bärbel, et al. “Digitalisierung als Chance für alle Prinzipien guten
Unterrichts.” mathematik lehren, vol. 242, 2024, pp. 42–47.
short: B. Barzel, G. Greefrath, M. Nagel, M. Hoffmann, mathematik lehren 242 (2024)
42–47.
date_created: 2024-02-25T20:58:51Z
date_updated: 2024-04-18T08:57:42Z
ddc:
- '510'
- '370'
department:
- _id: '643'
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2024-02-25T20:55:29Z
date_updated: 2024-02-25T20:55:29Z
file_id: '51842'
file_name: Barzel_etal_2024_DigitalisierungalsChancefrallePrinzipiengut.pdf
file_size: 1410541
relation: main_file
success: 1
file_date_updated: 2024-02-25T20:55:29Z
has_accepted_license: '1'
intvolume: ' 242'
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://www.friedrich-verlag.de/shop/mwdownloads/download/link/id/114555/
oa: '1'
page: 42 - 47
publication: mathematik lehren
publication_status: published
status: public
title: Digitalisierung als Chance für alle Prinzipien guten Unterrichts
type: journal_article
user_id: '37888'
volume: 242
year: '2024'
...
---
_id: '50554'
author:
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
- first_name: Lena
full_name: Wessel, Lena
id: '85190'
last_name: Wessel
citation:
ama: 'Prediger S, Wessel L. 31 Sprachbildung im berufsbezogenen Mathematikunterricht.
In: Efing C, Kalkavan-Aydin Z, eds. Berufs-und Fachsprache Deutsch in Wissenschaft
und Praxis. Vol Band 3. DaZ-Handbücher. DE GRUYTER; 2024:363-372.'
apa: 'Prediger, S., & Wessel, L. (2024). 31 Sprachbildung im berufsbezogenen
Mathematikunterricht. In C. Efing & Z. Kalkavan-Aydin (Eds.), Berufs-und
Fachsprache Deutsch in Wissenschaft und Praxis: Vol. Band 3 (pp. 363–372).
DE GRUYTER.'
bibtex: '@inbook{Prediger_Wessel_2024, place={Berlin}, series={DaZ-Handbücher},
title={31 Sprachbildung im berufsbezogenen Mathematikunterricht.}, volume={Band
3}, booktitle={Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis}, publisher={DE
GRUYTER}, author={Prediger, Susanne and Wessel, Lena}, editor={Efing, Christian
and Kalkavan-Aydin, Zeynep}, year={2024}, pages={363–372}, collection={DaZ-Handbücher}
}'
chicago: 'Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen
Mathematikunterricht.” In Berufs-und Fachsprache Deutsch in Wissenschaft und
Praxis, edited by Christian Efing and Zeynep Kalkavan-Aydin, Band 3:363–72.
DaZ-Handbücher. Berlin: DE GRUYTER, 2024.'
ieee: 'S. Prediger and L. Wessel, “31 Sprachbildung im berufsbezogenen Mathematikunterricht.,”
in Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis, vol. Band
3, C. Efing and Z. Kalkavan-Aydin, Eds. Berlin: DE GRUYTER, 2024, pp. 363–372.'
mla: Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen Mathematikunterricht.”
Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis, edited by Christian
Efing and Zeynep Kalkavan-Aydin, vol. Band 3, DE GRUYTER, 2024, pp. 363–72.
short: 'S. Prediger, L. Wessel, in: C. Efing, Z. Kalkavan-Aydin (Eds.), Berufs-und
Fachsprache Deutsch in Wissenschaft und Praxis, DE GRUYTER, Berlin, 2024, pp.
363–372.'
date_created: 2024-01-17T10:58:04Z
date_updated: 2024-04-18T08:58:14Z
department:
- _id: '643'
editor:
- first_name: Christian
full_name: Efing, Christian
last_name: Efing
- first_name: Zeynep
full_name: Kalkavan-Aydin, Zeynep
last_name: Kalkavan-Aydin
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://www.degruyter.com/document/doi/10.1515/9783110745504/pdf?licenseType=restricted#page=381
oa: '1'
page: 363-372
place: Berlin
publication: Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis
publication_identifier:
isbn:
- 978-3-11-074544-3
publication_status: published
publisher: DE GRUYTER
series_title: DaZ-Handbücher
status: public
title: 31 Sprachbildung im berufsbezogenen Mathematikunterricht.
type: book_chapter
user_id: '37888'
volume: Band 3
year: '2024'
...
---
_id: '51207'
abstract:
- lang: eng
text: "Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact
type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We
show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic
growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain
that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$."
article_number: '76'
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Lasse Lennart
full_name: Wolf, Lasse Lennart
id: '45027'
last_name: Wolf
orcid: 0000-0001-8893-2045
citation:
ama: 'Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case.
Geom Dedicata. 2024;218. doi:https://doi.org/10.1007/s10711-024-00904-4'
apa: 'Weich, T., & Wolf, L. L. (2024). Temperedness of locally symmetric spaces:
The product case. Geom Dedicata, 218, Article 76. https://doi.org/10.1007/s10711-024-00904-4'
bibtex: '@article{Weich_Wolf_2024, title={Temperedness of locally symmetric spaces:
The product case}, volume={218}, DOI={https://doi.org/10.1007/s10711-024-00904-4},
number={76}, journal={Geom Dedicata}, author={Weich, Tobias and Wolf, Lasse Lennart},
year={2024} }'
chicago: 'Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric
Spaces: The Product Case.” Geom Dedicata 218 (2024). https://doi.org/10.1007/s10711-024-00904-4.'
ieee: 'T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product
case,” Geom Dedicata, vol. 218, Art. no. 76, 2024, doi: https://doi.org/10.1007/s10711-024-00904-4.'
mla: 'Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric
Spaces: The Product Case.” Geom Dedicata, vol. 218, 76, 2024, doi:https://doi.org/10.1007/s10711-024-00904-4.'
short: T. Weich, L.L. Wolf, Geom Dedicata 218 (2024).
date_created: 2024-02-06T21:00:55Z
date_updated: 2024-05-07T11:44:34Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: https://doi.org/10.1007/s10711-024-00904-4
external_id:
arxiv:
- '2304.09573'
intvolume: ' 218'
language:
- iso: eng
publication: Geom Dedicata
status: public
title: 'Temperedness of locally symmetric spaces: The product case'
type: journal_article
user_id: '45027'
volume: 218
year: '2024'
...
---
_id: '54078'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Lara Marie
full_name: Graf, Lara Marie
id: '89837'
last_name: Graf
- first_name: K.
full_name: Höveler, K.
last_name: Höveler
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Graf LM, Höveler K, Nührenbörger M. Fachbezogene Professionalisierung
von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen
zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht
der Grundschule. HLZ – Herausforderung Lehrer*innenbildung. 2024;7(1).
doi:10.11576/hlz-6727'
apa: 'Häsel-Weide, U., Graf, L. M., Höveler, K., & Nührenbörger, M. (2024).
Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften:
Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten
beim Mathematiklernen im Anfangsunterricht der Grundschule. HLZ – Herausforderung
Lehrer*innenbildung, 7(1). https://doi.org/10.11576/hlz-6727'
bibtex: '@article{Häsel-Weide_Graf_Höveler_Nührenbörger_2024, title={Fachbezogene
Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive
Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen
im Anfangsunterricht der Grundschule}, volume={7}, DOI={10.11576/hlz-6727},
number={1}, journal={HLZ – Herausforderung Lehrer*innenbildung}, author={Häsel-Weide,
Uta and Graf, Lara Marie and Höveler, K. and Nührenbörger, M.}, year={2024} }'
chicago: 'Häsel-Weide, Uta, Lara Marie Graf, K. Höveler, and M. Nührenbörger. “Fachbezogene
Professionalisierung von Fachfremd Mathematik Unterrichtenden Lehrkräften: Retrospektive
Selbsteinschätzungen Zur Expertise Im Umgang Mit Schwierigkeiten Beim Mathematiklernen
Im Anfangsunterricht Der Grundschule.” HLZ – Herausforderung Lehrer*innenbildung
7, no. 1 (2024). https://doi.org/10.11576/hlz-6727.'
ieee: 'U. Häsel-Weide, L. M. Graf, K. Höveler, and M. Nührenbörger, “Fachbezogene
Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive
Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen
im Anfangsunterricht der Grundschule,” HLZ – Herausforderung Lehrer*innenbildung,
vol. 7, no. 1, 2024, doi: 10.11576/hlz-6727.'
mla: 'Häsel-Weide, Uta, et al. “Fachbezogene Professionalisierung von Fachfremd
Mathematik Unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen Zur
Expertise Im Umgang Mit Schwierigkeiten Beim Mathematiklernen Im Anfangsunterricht
Der Grundschule.” HLZ – Herausforderung Lehrer*innenbildung, vol. 7, no.
1, 2024, doi:10.11576/hlz-6727.'
short: U. Häsel-Weide, L.M. Graf, K. Höveler, M. Nührenbörger, HLZ – Herausforderung
Lehrer*innenbildung 7 (2024).
date_created: 2024-05-08T08:40:45Z
date_updated: 2024-05-08T08:42:20Z
department:
- _id: '543'
doi: 10.11576/hlz-6727
intvolume: ' 7'
issue: '1'
language:
- iso: eng
publication: HLZ – Herausforderung Lehrer*innenbildung
status: public
title: 'Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden
Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten
beim Mathematiklernen im Anfangsunterricht der Grundschule'
type: journal_article
user_id: '44184'
volume: 7
year: '2024'
...
---
_id: '54144'
abstract:
- lang: eng
text: "AbstractIn this paper, we propose a novel
conceptual framework tailored for modeling the meaning of mathematical concepts
in university-level mathematics, addressing their rigorous nature and their relationships
with related concepts as well as interpretations in various contexts. Within this
framework, we present a model of meaning for the concepts of total differentiability
and total derivative that provides a variety of possible interpretations and aspects.
We then use the proposed model of meaning as a tool for analyzing three different
textbooks for mathematics majors on the topic of multidimensional differentiability.
\uFEFFOur paper is an example of a subject matter analysis of a topic in university
mathematics carried out in a structured way. The model of meaning for total differentiability
presented in this paper could inspire course design and analysis including the
design of assignments and assessments for students. Moreover, it could serve as
a valuable research tool for further analyses. For example, it could be used as
a framework for analyzing courses taught or as a basis for developing a test instrument
to assess students’ understanding. With our textbook analysis, we begin to examine
the landscape of textbooks regarding differentiability concepts in the multidimensional
case, shedding light on the diversity of meaning facets that are covered in the
textbooks. These results could be useful for guiding instructors and learners
in selecting and using textbooks for teaching and learning based on their respective
needs."
author:
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Lankeit E, Biehler R. The meaning landscape of the concept of the total derivative
in multivariable real analysis textbooks: an analysis based on a new model of
meaning. ZDM – Mathematics Education. Published online 2024. doi:10.1007/s11858-024-01584-w'
apa: 'Lankeit, E., & Biehler, R. (2024). The meaning landscape of the concept
of the total derivative in multivariable real analysis textbooks: an analysis
based on a new model of meaning. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-024-01584-w'
bibtex: '@article{Lankeit_Biehler_2024, title={The meaning landscape of the concept
of the total derivative in multivariable real analysis textbooks: an analysis
based on a new model of meaning}, DOI={10.1007/s11858-024-01584-w},
journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
Media LLC}, author={Lankeit, Elisa and Biehler, Rolf}, year={2024} }'
chicago: 'Lankeit, Elisa, and Rolf Biehler. “The Meaning Landscape of the Concept
of the Total Derivative in Multivariable Real Analysis Textbooks: An Analysis
Based on a New Model of Meaning.” ZDM – Mathematics Education, 2024. https://doi.org/10.1007/s11858-024-01584-w.'
ieee: 'E. Lankeit and R. Biehler, “The meaning landscape of the concept of the total
derivative in multivariable real analysis textbooks: an analysis based on a new
model of meaning,” ZDM – Mathematics Education, 2024, doi: 10.1007/s11858-024-01584-w.'
mla: 'Lankeit, Elisa, and Rolf Biehler. “The Meaning Landscape of the Concept of
the Total Derivative in Multivariable Real Analysis Textbooks: An Analysis Based
on a New Model of Meaning.” ZDM – Mathematics Education, Springer Science
and Business Media LLC, 2024, doi:10.1007/s11858-024-01584-w.'
short: E. Lankeit, R. Biehler, ZDM – Mathematics Education (2024).
date_created: 2024-05-10T07:48:10Z
date_updated: 2024-05-10T07:49:19Z
department:
- _id: '363'
doi: 10.1007/s11858-024-01584-w
language:
- iso: eng
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'The meaning landscape of the concept of the total derivative in multivariable
real analysis textbooks: an analysis based on a new model of meaning'
type: journal_article
user_id: '37888'
year: '2024'
...
---
_id: '53534'
abstract:
- lang: eng
text: "It is known that the notion of a transitive subgroup of a permutation group\r\n$G$
extends naturally to subsets of $G$. We consider subsets of the general\r\nlinear
group $\\operatorname{GL}(n,q)$ acting transitively on flag-like\r\nstructures,
which are common generalisations of $t$-dimensional subspaces of\r\n$\\mathbb{F}_q^n$
and bases of $t$-dimensional subspaces of $\\mathbb{F}_q^n$. We\r\ngive structural
characterisations of transitive subsets of\r\n$\\operatorname{GL}(n,q)$ using
the character theory of $\\operatorname{GL}(n,q)$\r\nand interpret such subsets
as designs in the conjugacy class association\r\nscheme of $\\operatorname{GL}(n,q)$.
In particular we generalise a theorem of\r\nPerin on subgroups of $\\operatorname{GL}(n,q)$
acting transitively on\r\n$t$-dimensional subspaces. We survey transitive subgroups
of\r\n$\\operatorname{GL}(n,q)$, showing that there is no subgroup of\r\n$\\operatorname{GL}(n,q)$
with $1Mathematische
Zeitschrift. 2024;307(45). doi:10.1007/s00209-024-03511-x
apa: Ernst, A., & Schmidt, K.-U. (2024). Transitivity in finite general linear
groups. Mathematische Zeitschrift, 307(45). https://doi.org/10.1007/s00209-024-03511-x
bibtex: '@article{Ernst_Schmidt_2024, title={Transitivity in finite general linear
groups}, volume={307}, DOI={10.1007/s00209-024-03511-x},
number={45}, journal={Mathematische Zeitschrift}, author={Ernst, Alena and Schmidt,
Kai-Uwe}, year={2024} }'
chicago: Ernst, Alena, and Kai-Uwe Schmidt. “Transitivity in Finite General Linear
Groups.” Mathematische Zeitschrift 307, no. 45 (2024). https://doi.org/10.1007/s00209-024-03511-x.
ieee: 'A. Ernst and K.-U. Schmidt, “Transitivity in finite general linear groups,”
Mathematische Zeitschrift, vol. 307, no. 45, 2024, doi: 10.1007/s00209-024-03511-x.'
mla: Ernst, Alena, and Kai-Uwe Schmidt. “Transitivity in Finite General Linear Groups.”
Mathematische Zeitschrift, vol. 307, no. 45, 2024, doi:10.1007/s00209-024-03511-x.
short: A. Ernst, K.-U. Schmidt, Mathematische Zeitschrift 307 (2024).
date_created: 2024-04-17T12:26:51Z
date_updated: 2024-06-17T10:04:29Z
department:
- _id: '100'
doi: 10.1007/s00209-024-03511-x
intvolume: ' 307'
issue: '45'
language:
- iso: eng
publication: Mathematische Zeitschrift
status: public
title: Transitivity in finite general linear groups
type: journal_article
user_id: '46953'
volume: 307
year: '2024'
...
---
_id: '32447'
abstract:
- lang: eng
text: 'We present a new gradient-like dynamical system related to unconstrained
convex smooth multiobjective optimization which involves inertial effects and
asymptotic vanishing damping. To the best of our knowledge, this system is the
first inertial gradient-like system for multiobjective optimization problems including
asymptotic vanishing damping, expanding the ideas previously laid out in [H. Attouch
and G. Garrigos, Multiobjective Optimization: An Inertial Dynamical Approach to
Pareto Optima, preprint, arXiv:1506.02823, 2015]. We prove existence of solutions
to this system in finite dimensions and further prove that its bounded solutions
converge weakly to weakly Pareto optimal points. In addition, we obtain a convergence
rate of order \(\mathcal{O}(t^{-2})\) for the function values measured with a
merit function. This approach presents a good basis for the development of fast
gradient methods for multiobjective optimization.'
article_type: original
author:
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-Like
Systems with Asymptotic Vanishing Damping. SIAM Journal on Optimization.
2024;34(3):2259-2286. doi:10.1137/23M1588512
apa: Sonntag, K., & Peitz, S. (2024). Fast Convergence of Inertial Multiobjective
Gradient-Like Systems with Asymptotic Vanishing Damping. SIAM Journal on Optimization,
34(3), 2259–2286. https://doi.org/10.1137/23M1588512
bibtex: '@article{Sonntag_Peitz_2024, title={Fast Convergence of Inertial Multiobjective
Gradient-Like Systems with Asymptotic Vanishing Damping}, volume={34}, DOI={10.1137/23M1588512}, number={3},
journal={SIAM Journal on Optimization}, publisher={Society for Industrial and
Applied Mathematics}, author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024},
pages={2259–2286} }'
chicago: 'Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial
Multiobjective Gradient-Like Systems with Asymptotic Vanishing Damping.” SIAM
Journal on Optimization 34, no. 3 (2024): 2259–86. https://doi.org/10.1137/23M1588512.'
ieee: 'K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-Like
Systems with Asymptotic Vanishing Damping,” SIAM Journal on Optimization,
vol. 34, no. 3, pp. 2259–2286, 2024, doi: 10.1137/23M1588512.'
mla: Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective
Gradient-Like Systems with Asymptotic Vanishing Damping.” SIAM Journal on Optimization,
vol. 34, no. 3, Society for Industrial and Applied Mathematics, 2024, pp. 2259–86,
doi:10.1137/23M1588512.
short: K. Sonntag, S. Peitz, SIAM Journal on Optimization 34 (2024) 2259–2286.
date_created: 2022-07-28T11:53:02Z
date_updated: 2024-07-02T09:27:39Z
department:
- _id: '101'
- _id: '655'
doi: 10.1137/23M1588512
intvolume: ' 34'
issue: '3'
keyword:
- multiobjective optimization
- Pareto optimization
- Lyapunov analysis
- gradient-likedynamical systems
- inertial dynamics
- asymptotic vanishing damping
- fast convergence
language:
- iso: eng
page: 2259 - 2286
publication: SIAM Journal on Optimization
publication_identifier:
issn:
- 1095-7189
publication_status: published
publisher: Society for Industrial and Applied Mathematics
status: public
title: Fast Convergence of Inertial Multiobjective Gradient-Like Systems with Asymptotic
Vanishing Damping
type: journal_article
user_id: '56399'
volume: 34
year: '2024'
...
---
_id: '55191'
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
- first_name: Jana
full_name: Visnovska, Jana
last_name: Visnovska
- first_name: Guorui
full_name: Yan, Guorui
last_name: Yan
- first_name: Moneoang
full_name: Leshota, Moneoang
last_name: Leshota
- first_name: Hussein
full_name: Sabra, Hussein
last_name: Sabra
citation:
ama: 'Rezat S, Visnovska J, Yan G, Leshota M, Sabra H. Topic Study Group 41: Research
and development on textbooks and resources for learning and teaching mathematics.
In: Proceedings of the 14th International Congress on Mathematical Education.
Vol 1. World Scientific; 2024:537–545. doi:10.1142/9789811287152_0065'
apa: 'Rezat, S., Visnovska, J., Yan, G., Leshota, M., & Sabra, H. (2024). Topic
Study Group 41: Research and development on textbooks and resources for learning
and teaching mathematics. Proceedings of the 14th International Congress on
Mathematical Education, 1, 537–545. https://doi.org/10.1142/9789811287152_0065'
bibtex: '@inproceedings{Rezat_Visnovska_Yan_Leshota_Sabra_2024, place={Shanghai,
China}, title={Topic Study Group 41: Research and development on textbooks and
resources for learning and teaching mathematics}, volume={1}, DOI={10.1142/9789811287152_0065},
booktitle={Proceedings of the 14th International Congress on Mathematical Education},
publisher={World Scientific}, author={Rezat, Sebastian and Visnovska, Jana and
Yan, Guorui and Leshota, Moneoang and Sabra, Hussein}, year={2024}, pages={537–545}
}'
chicago: 'Rezat, Sebastian, Jana Visnovska, Guorui Yan, Moneoang Leshota, and Hussein
Sabra. “Topic Study Group 41: Research and Development on Textbooks and Resources
for Learning and Teaching Mathematics.” In Proceedings of the 14th International
Congress on Mathematical Education, 1:537–545. Shanghai, China: World Scientific,
2024. https://doi.org/10.1142/9789811287152_0065.'
ieee: 'S. Rezat, J. Visnovska, G. Yan, M. Leshota, and H. Sabra, “Topic Study Group
41: Research and development on textbooks and resources for learning and teaching
mathematics,” in Proceedings of the 14th International Congress on Mathematical
Education, 2024, vol. 1, pp. 537–545, doi: 10.1142/9789811287152_0065.'
mla: 'Rezat, Sebastian, et al. “Topic Study Group 41: Research and Development on
Textbooks and Resources for Learning and Teaching Mathematics.” Proceedings
of the 14th International Congress on Mathematical Education, vol. 1, World
Scientific, 2024, pp. 537–545, doi:10.1142/9789811287152_0065.'
short: 'S. Rezat, J. Visnovska, G. Yan, M. Leshota, H. Sabra, in: Proceedings of
the 14th International Congress on Mathematical Education, World Scientific, Shanghai,
China, 2024, pp. 537–545.'
date_created: 2024-07-12T06:58:06Z
date_updated: 2024-07-12T07:02:20Z
department:
- _id: '360'
doi: 10.1142/9789811287152_0065
intvolume: ' 1'
keyword:
- Mathematics
- Mathematik
- Textbook
- Curriculum Resources
- Schulbuch
language:
- iso: eng
page: 537–545
place: Shanghai, China
publication: Proceedings of the 14th International Congress on Mathematical Education
publication_status: published
publisher: World Scientific
status: public
title: 'Topic Study Group 41: Research and development on textbooks and resources
for learning and teaching mathematics'
type: conference
user_id: '31132'
volume: 1
year: '2024'
...
---
_id: '55276'
author:
- first_name: P.
full_name: Minelli, P.
last_name: Minelli
- first_name: A.
full_name: Sourmelidis, A.
last_name: Sourmelidis
- first_name: Marc
full_name: Technau, Marc
id: '106108'
last_name: Technau
orcid: 0000-0001-9650-2459
citation:
ama: Minelli P, Sourmelidis A, Technau M. On restricted averages of Dedekind sums.
Int Math Res Not IMRN. 2024;2024(10):8485–8502. doi:10.1093/imrn/rnad283
apa: Minelli, P., Sourmelidis, A., & Technau, M. (2024). On restricted averages
of Dedekind sums. Int. Math. Res. Not. IMRN, 2024(10), 8485–8502.
https://doi.org/10.1093/imrn/rnad283
bibtex: '@article{Minelli_Sourmelidis_Technau_2024, title={On restricted averages
of Dedekind sums}, volume={2024}, DOI={10.1093/imrn/rnad283},
number={10}, journal={Int. Math. Res. Not. IMRN}, author={Minelli, P. and Sourmelidis,
A. and Technau, Marc}, year={2024}, pages={8485–8502} }'
chicago: 'Minelli, P., A. Sourmelidis, and Marc Technau. “On Restricted Averages
of Dedekind Sums.” Int. Math. Res. Not. IMRN 2024, no. 10 (2024): 8485–8502.
https://doi.org/10.1093/imrn/rnad283.'
ieee: 'P. Minelli, A. Sourmelidis, and M. Technau, “On restricted averages of Dedekind
sums,” Int. Math. Res. Not. IMRN, vol. 2024, no. 10, pp. 8485–8502, 2024,
doi: 10.1093/imrn/rnad283.'
mla: Minelli, P., et al. “On Restricted Averages of Dedekind Sums.” Int. Math.
Res. Not. IMRN, vol. 2024, no. 10, 2024, pp. 8485–8502, doi:10.1093/imrn/rnad283.
short: P. Minelli, A. Sourmelidis, M. Technau, Int. Math. Res. Not. IMRN 2024 (2024)
8485–8502.
date_created: 2024-07-16T11:09:00Z
date_updated: 2024-07-24T07:23:20Z
department:
- _id: '102'
doi: 10.1093/imrn/rnad283
intvolume: ' 2024'
issue: '10'
language:
- iso: eng
page: 8485–8502
publication: Int. Math. Res. Not. IMRN
status: public
title: On restricted averages of Dedekind sums
type: journal_article
user_id: '106108'
volume: 2024
year: '2024'
...
---
_id: '55278'
author:
- first_name: Marc
full_name: Technau, Marc
id: '106108'
last_name: Technau
orcid: 0000-0001-9650-2459
citation:
ama: Technau M. Remark on the Farey fraction spin chain. Proc Amer Math Soc.
2024;152(1):63–69. doi:10.1090/proc/16520
apa: Technau, M. (2024). Remark on the Farey fraction spin chain. Proc. Amer.
Math. Soc., 152(1), 63–69. https://doi.org/10.1090/proc/16520
bibtex: '@article{Technau_2024, title={Remark on the Farey fraction spin chain},
volume={152}, DOI={10.1090/proc/16520},
number={1}, journal={Proc. Amer. Math. Soc.}, author={Technau, Marc}, year={2024},
pages={63–69} }'
chicago: 'Technau, Marc. “Remark on the Farey Fraction Spin Chain.” Proc. Amer.
Math. Soc. 152, no. 1 (2024): 63–69. https://doi.org/10.1090/proc/16520.'
ieee: 'M. Technau, “Remark on the Farey fraction spin chain,” Proc. Amer. Math.
Soc., vol. 152, no. 1, pp. 63–69, 2024, doi: 10.1090/proc/16520.'
mla: Technau, Marc. “Remark on the Farey Fraction Spin Chain.” Proc. Amer. Math.
Soc., vol. 152, no. 1, 2024, pp. 63–69, doi:10.1090/proc/16520.
short: M. Technau, Proc. Amer. Math. Soc. 152 (2024) 63–69.
date_created: 2024-07-16T11:09:01Z
date_updated: 2024-07-24T07:26:12Z
department:
- _id: '102'
doi: 10.1090/proc/16520
extern: '1'
intvolume: ' 152'
issue: '1'
language:
- iso: eng
page: 63–69
publication: Proc. Amer. Math. Soc.
status: public
title: Remark on the Farey fraction spin chain
type: journal_article
user_id: '106108'
volume: 152
year: '2024'
...
---
_id: '55193'
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Hoffmann M, Hilgert J, Weich T. Ebene euklidische Geometrie. Algebraisierung,
Axiomatisierung und Schnittstellen zur Schulmathematik. Springer Berlin Heidelberg;
2024. doi:10.1007/978-3-662-67357-7
apa: Hoffmann, M., Hilgert, J., & Weich, T. (2024). Ebene euklidische Geometrie.
Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik. Springer
Berlin Heidelberg. https://doi.org/10.1007/978-3-662-67357-7
bibtex: '@book{Hoffmann_Hilgert_Weich_2024, place={Berlin, Heidelberg}, title={Ebene
euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur
Schulmathematik}, DOI={10.1007/978-3-662-67357-7},
publisher={Springer Berlin Heidelberg}, author={Hoffmann, Max and Hilgert, Joachim
and Weich, Tobias}, year={2024} }'
chicago: 'Hoffmann, Max, Joachim Hilgert, and Tobias Weich. Ebene euklidische
Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik.
Berlin, Heidelberg: Springer Berlin Heidelberg, 2024. https://doi.org/10.1007/978-3-662-67357-7.'
ieee: 'M. Hoffmann, J. Hilgert, and T. Weich, Ebene euklidische Geometrie. Algebraisierung,
Axiomatisierung und Schnittstellen zur Schulmathematik. Berlin, Heidelberg:
Springer Berlin Heidelberg, 2024.'
mla: Hoffmann, Max, et al. Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung
und Schnittstellen zur Schulmathematik. Springer Berlin Heidelberg, 2024,
doi:10.1007/978-3-662-67357-7.
short: M. Hoffmann, J. Hilgert, T. Weich, Ebene euklidische Geometrie. Algebraisierung,
Axiomatisierung und Schnittstellen zur Schulmathematik, Springer Berlin Heidelberg,
Berlin, Heidelberg, 2024.
date_created: 2024-07-12T08:36:42Z
date_updated: 2024-08-08T08:05:30Z
department:
- _id: '97'
- _id: '643'
- _id: '548'
doi: 10.1007/978-3-662-67357-7
language:
- iso: ger
place: Berlin, Heidelberg
publication_identifier:
isbn:
- '9783662673560'
- '9783662673577'
publication_status: published
publisher: Springer Berlin Heidelberg
status: public
title: Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen
zur Schulmathematik
type: book
user_id: '220'
year: '2024'
...
---
_id: '46469'
abstract:
- lang: eng
text: 'We show how to learn discrete field theories from observational data of fields
on a space-time lattice. For this, we train a neural network model of a discrete
Lagrangian density such that the discrete Euler--Lagrange equations are consistent
with the given training data. We, thus, obtain a structure-preserving machine
learning architecture. Lagrangian densities are not uniquely defined by the solutions
of a field theory. We introduce a technique to derive regularisers for the training
process which optimise numerical regularity of the discrete field theory. Minimisation
of the regularisers guarantees that close to the training data the discrete field
theory behaves robust and efficient when used in numerical simulations. Further,
we show how to identify structurally simple solutions of the underlying continuous
field theory such as travelling waves. This is possible even when travelling waves
are not present in the training data. This is compared to data-driven model order
reduction based approaches, which struggle to identify suitable latent spaces
containing structurally simple solutions when these are not present in the training
data. Ideas are demonstrated on examples based on the wave equation and the Schrödinger
equation. '
article_number: '013104'
article_type: original
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Offen C, Ober-Blöbaum S. Learning of discrete models of variational PDEs from
data. Chaos. 2024;34(1). doi:10.1063/5.0172287
apa: Offen, C., & Ober-Blöbaum, S. (2024). Learning of discrete models of variational
PDEs from data. Chaos, 34(1), Article 013104. https://doi.org/10.1063/5.0172287
bibtex: '@article{Offen_Ober-Blöbaum_2024, title={Learning of discrete models of
variational PDEs from data}, volume={34}, DOI={10.1063/5.0172287},
number={1013104}, journal={Chaos}, publisher={AIP Publishing}, author={Offen,
Christian and Ober-Blöbaum, Sina}, year={2024} }'
chicago: Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of
Variational PDEs from Data.” Chaos 34, no. 1 (2024). https://doi.org/10.1063/5.0172287.
ieee: 'C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational
PDEs from data,” Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi: 10.1063/5.0172287.'
mla: Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational
PDEs from Data.” Chaos, vol. 34, no. 1, 013104, AIP Publishing, 2024, doi:10.1063/5.0172287.
short: C. Offen, S. Ober-Blöbaum, Chaos 34 (2024).
date_created: 2023-08-10T08:24:48Z
date_updated: 2024-08-12T13:45:43Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1063/5.0172287
external_id:
arxiv:
- '2308.05082 '
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2024-01-09T10:48:38Z
date_updated: 2024-01-09T10:48:38Z
file_id: '50376'
file_name: Accepted manuscript with AIP banner CHA23-AR-01370.pdf
file_size: 13222105
relation: main_file
title: Accepted Manuscript Chaos
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2024-01-09T11:19:49Z
date_updated: 2024-01-09T11:19:49Z
description: |-
We show how to learn discrete field theories from observational data of fields on a space-time lattice. For this, we train
a neural network model of a discrete Lagrangian density such that the discrete Euler–Lagrange equations are consistent
with the given training data. We, thus, obtain a structure-preserving machine learning architecture. Lagrangian
densities are not uniquely defined by the solutions of a field theory. We introduce a technique to derive regularisers for
the training process which optimise numerical regularity of the discrete field theory. Minimisation of the regularisers
guarantees that close to the training data the discrete field theory behaves robust and efficient when used in numerical
simulations. Further, we show how to identify structurally simple solutions of the underlying continuous field theory
such as travelling waves. This is possible even when travelling waves are not present in the training data. This is
compared to data-driven model order reduction based approaches, which struggle to identify suitable latent spaces
containing structurally simple solutions when these are not present in the training data. Ideas are demonstrated on
examples based on the wave equation and the Schrödinger equation.
file_id: '50390'
file_name: LDensityPDE_AIP.pdf
file_size: 12960884
relation: main_file
title: Learning of discrete models of variational PDEs from data
file_date_updated: 2024-01-09T11:19:49Z
has_accepted_license: '1'
intvolume: ' 34'
issue: '1'
language:
- iso: eng
oa: '1'
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Chaos
publication_identifier:
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Christian-Offen/DLNN_pde
status: public
title: Learning of discrete models of variational PDEs from data
type: journal_article
user_id: '85279'
volume: 34
year: '2024'
...
---
_id: '55159'
abstract:
- lang: eng
text: "We introduce a method based on Gaussian process regression to identify discrete
variational principles from observed solutions of a field theory. The method is
based on the data-based identification of a discrete Lagrangian density. It is
a geometric machine learning technique in the sense that the variational structure
of the true field theory is reflected in the data-driven model by design. We provide
a rigorous convergence statement of the method. The proof circumvents challenges
posed by the ambiguity of discrete Lagrangian densities in the inverse problem
of variational calculus.\r\nMoreover, our method can be used to quantify model
uncertainty in the equations of motions and any linear observable of the discrete
field theory. This is illustrated on the example of the discrete wave equation
and Schrödinger equation.\r\nThe article constitutes an extension of our previous
article arXiv:2404.19626 for the data-driven identification of (discrete) Lagrangians
for variational dynamics from an ode setting to the setting of discrete pdes."
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 discrete field theories with guaranteed convergence
and uncertainty quantification.
apa: Offen, C. (n.d.). Machine learning of discrete field theories with guaranteed
convergence and uncertainty quantification.
bibtex: '@article{Offen, title={Machine learning of discrete field theories with
guaranteed convergence and uncertainty quantification}, author={Offen, Christian}
}'
chicago: Offen, Christian. “Machine Learning of Discrete Field Theories with Guaranteed
Convergence and Uncertainty Quantification,” n.d.
ieee: C. Offen, “Machine learning of discrete field theories with guaranteed convergence
and uncertainty quantification.” .
mla: Offen, Christian. Machine Learning of Discrete Field Theories with Guaranteed
Convergence and Uncertainty Quantification.
short: C. Offen, (n.d.).
date_created: 2024-07-10T13:43:50Z
date_updated: 2024-08-12T13:43:32Z
ddc:
- '510'
department:
- _id: '636'
external_id:
arxiv:
- '2407.07642'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2024-07-10T13:39:32Z
date_updated: 2024-07-10T13:39:32Z
description: |-
We introduce a method based on Gaussian process regression to identify discrete
variational principles from observed solutions of a field theory. The method is based on the data-based identification of a discrete Lagrangian density. It is a geometric machine learning technique in the sense that the variational structure of the true field theory is reflected in the data-driven model by design.
We provide a rigorous convergence statement of the method.
The proof circumvents challenges posed by the ambiguity of discrete Lagrangian densities in the inverse problem of variational calculus.
Moreover, our method can be used to quantify model uncertainty in the equations of motions and any linear observable of the discrete field theory.
This is illustrated on the example of the discrete wave equation and Schrödinger equation.
The article constitutes an extension of our previous article for the data-driven identification of (discrete) Lagrangians for variational dynamics from an ode setting to the setting of discrete pdes.
file_id: '55160'
file_name: L_Collocation.pdf
file_size: 4569314
relation: main_file
title: Machine learning of discrete field theories with guaranteed convergence and
uncertainty quantification
file_date_updated: 2024-07-10T13:39:32Z
has_accepted_license: '1'
keyword:
- System identification
- inverse problem of variational calculus
- Gaussian process
- Lagrangian learning
- physics informed machine learning
- geometry aware learning
language:
- iso: eng
oa: '1'
page: '28'
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication_status: submitted
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Christian-Offen/Lagrangian_GP_PDE
status: public
title: Machine learning of discrete field theories with guaranteed convergence and
uncertainty quantification
type: preprint
user_id: '85279'
year: '2024'
...
---
_id: '55667'
abstract:
- lang: eng
text: This study investigates how 11- to 12-year-old students construct
data-based decision trees using data cards for classification purposes. We examine
the students' heuristics and reasoning during this process. The research is based
on an eight-week teaching unit during which students labeled data, built decision
trees, and assessed them using test data. They learned to manually construct decision
trees to classify food items as recommendable or not. They utilized data cards
with a heuristic that is a simplified form of a machine learning algorithm. We
report on evidence that this topic is teachable to middle school students, along
with insights for refining our teaching approach and broader implications for
teaching machine learning at the school level.
article_number: '3'
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: 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
citation:
ama: Fleischer FY, Podworny S, Biehler R. Teaching and Learning to Construct Data-Based
Decision Trees Using Data Cards as the First Introduction to Machine Learning
in Middle School. Statistics Education Research Journal. 2024;23(1). doi:10.52041/serj.v23i1.450
apa: Fleischer, F. Y., Podworny, S., & Biehler, R. (2024). Teaching and Learning
to Construct Data-Based Decision Trees Using Data Cards as the First Introduction
to Machine Learning in Middle School. Statistics Education Research Journal,
23(1), Article 3. https://doi.org/10.52041/serj.v23i1.450
bibtex: '@article{Fleischer_Podworny_Biehler_2024, title={Teaching and Learning
to Construct Data-Based Decision Trees Using Data Cards as the First Introduction
to Machine Learning in Middle School}, volume={23}, DOI={10.52041/serj.v23i1.450},
number={13}, journal={Statistics Education Research Journal}, publisher={International
Association for Statistical Education}, author={Fleischer, Franz Yannik and Podworny,
Susanne and Biehler, Rolf}, year={2024} }'
chicago: Fleischer, Franz Yannik, Susanne Podworny, and Rolf Biehler. “Teaching
and Learning to Construct Data-Based Decision Trees Using Data Cards as the First
Introduction to Machine Learning in Middle School.” Statistics Education Research
Journal 23, no. 1 (2024). https://doi.org/10.52041/serj.v23i1.450.
ieee: 'F. Y. Fleischer, S. Podworny, and R. Biehler, “Teaching and Learning to Construct
Data-Based Decision Trees Using Data Cards as the First Introduction to Machine
Learning in Middle School,” Statistics Education Research Journal, vol.
23, no. 1, Art. no. 3, 2024, doi: 10.52041/serj.v23i1.450.'
mla: Fleischer, Franz Yannik, et al. “Teaching and Learning to Construct Data-Based
Decision Trees Using Data Cards as the First Introduction to Machine Learning
in Middle School.” Statistics Education Research Journal, vol. 23, no.
1, 3, International Association for Statistical Education, 2024, doi:10.52041/serj.v23i1.450.
short: F.Y. Fleischer, S. Podworny, R. Biehler, Statistics Education Research Journal
23 (2024).
date_created: 2024-08-21T09:59:33Z
date_updated: 2024-08-21T10:02:38Z
department:
- _id: '363'
doi: 10.52041/serj.v23i1.450
intvolume: ' 23'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.52041/serj.v23i1.450
oa: '1'
publication: Statistics Education Research Journal
publication_identifier:
issn:
- 1570-1824
publication_status: published
publisher: International Association for Statistical Education
status: public
title: Teaching and Learning to Construct Data-Based Decision Trees Using Data Cards
as the First Introduction to Machine Learning in Middle School
type: journal_article
user_id: '37888'
volume: 23
year: '2024'
...
---
_id: '55756'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
citation:
ama: 'Biehler R, Frischemeier D. Eine inklusive Lehr-Lernumgebung für die Leitidee
„Daten und Zufall“ in der Primarstufe. In: Inklusives Lehren und Lernen von
Mathematik. Springer Fachmedien Wiesbaden; 2024. doi:10.1007/978-3-658-43964-4_13'
apa: Biehler, R., & Frischemeier, D. (2024). Eine inklusive Lehr-Lernumgebung
für die Leitidee „Daten und Zufall“ in der Primarstufe. In Inklusives Lehren
und Lernen von Mathematik. Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-43964-4_13
bibtex: '@inbook{Biehler_Frischemeier_2024, place={Wiesbaden}, title={Eine inklusive
Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe}, DOI={10.1007/978-3-658-43964-4_13},
booktitle={Inklusives Lehren und Lernen von Mathematik}, publisher={Springer Fachmedien
Wiesbaden}, author={Biehler, Rolf and Frischemeier, Daniel}, year={2024} }'
chicago: 'Biehler, Rolf, and Daniel Frischemeier. “Eine inklusive Lehr-Lernumgebung
für die Leitidee „Daten und Zufall“ in der Primarstufe.” In Inklusives Lehren
und Lernen von Mathematik. Wiesbaden: Springer Fachmedien Wiesbaden, 2024.
https://doi.org/10.1007/978-3-658-43964-4_13.'
ieee: 'R. Biehler and D. Frischemeier, “Eine inklusive Lehr-Lernumgebung für die
Leitidee „Daten und Zufall“ in der Primarstufe,” in Inklusives Lehren und Lernen
von Mathematik, Wiesbaden: Springer Fachmedien Wiesbaden, 2024.'
mla: Biehler, Rolf, and Daniel Frischemeier. “Eine inklusive Lehr-Lernumgebung für
die Leitidee „Daten und Zufall“ in der Primarstufe.” Inklusives Lehren und
Lernen von Mathematik, Springer Fachmedien Wiesbaden, 2024, doi:10.1007/978-3-658-43964-4_13.
short: 'R. Biehler, D. Frischemeier, in: Inklusives Lehren und Lernen von Mathematik,
Springer Fachmedien Wiesbaden, Wiesbaden, 2024.'
date_created: 2024-08-26T09:18:57Z
date_updated: 2024-08-26T09:33:50Z
department:
- _id: '363'
doi: 10.1007/978-3-658-43964-4_13
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/978-3-658-43964-4_13
oa: '1'
place: Wiesbaden
publication: Inklusives Lehren und Lernen von Mathematik
publication_identifier:
isbn:
- '9783658439637'
- '9783658439644'
publication_status: published
publisher: Springer Fachmedien Wiesbaden
status: public
title: Eine inklusive Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der
Primarstufe
type: book_chapter
user_id: '37888'
year: '2024'
...
---
_id: '55758'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
citation:
ama: 'Biehler R, Frischemeier D. Daten-Spürnasen Auf Spurensuche: Datenanalyse
in Der Grundschule Mit Digitalen Werkzeugen. Klett Kallmeyer; 2024.'
apa: 'Biehler, R., & Frischemeier, D. (2024). Daten-Spürnasen auf Spurensuche:
Datenanalyse in der Grundschule mit digitalen Werkzeugen. Klett Kallmeyer.'
bibtex: '@book{Biehler_Frischemeier_2024, title={Daten-Spürnasen auf Spurensuche:
Datenanalyse in der Grundschule mit digitalen Werkzeugen}, publisher={Klett Kallmeyer},
author={Biehler, Rolf and Frischemeier, Daniel}, year={2024} }'
chicago: 'Biehler, Rolf, and Daniel Frischemeier. Daten-Spürnasen Auf Spurensuche:
Datenanalyse in Der Grundschule Mit Digitalen Werkzeugen. Klett Kallmeyer,
2024.'
ieee: 'R. Biehler and D. Frischemeier, Daten-Spürnasen auf Spurensuche: Datenanalyse
in der Grundschule mit digitalen Werkzeugen. Klett Kallmeyer, 2024.'
mla: 'Biehler, Rolf, and Daniel Frischemeier. Daten-Spürnasen Auf Spurensuche:
Datenanalyse in Der Grundschule Mit Digitalen Werkzeugen. Klett Kallmeyer,
2024.'
short: 'R. Biehler, D. Frischemeier, Daten-Spürnasen Auf Spurensuche: Datenanalyse
in Der Grundschule Mit Digitalen Werkzeugen, Klett Kallmeyer, 2024.'
date_created: 2024-08-26T09:38:05Z
date_updated: 2024-08-26T09:38:17Z
department:
- _id: '363'
language:
- iso: eng
publisher: Klett Kallmeyer
status: public
title: 'Daten-Spürnasen auf Spurensuche: Datenanalyse in der Grundschule mit digitalen
Werkzeugen'
type: book
user_id: '37888'
year: '2024'
...
---
_id: '45972'
author:
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: Kovács B. Numerical surgery for mean curvature flow of surfaces. SIAM Journal
on Scientific Computing. 2024;46(2):A645--A669. doi:10.1137/22M1531919
apa: Kovács, B. (2024). Numerical surgery for mean curvature flow of surfaces. SIAM
Journal on Scientific Computing, 46(2), A645--A669. https://doi.org/10.1137/22M1531919
bibtex: '@article{Kovács_2024, title={Numerical surgery for mean curvature flow
of surfaces}, volume={46}, DOI={10.1137/22M1531919},
number={2}, journal={SIAM Journal on Scientific Computing}, author={Kovács, Balázs},
year={2024}, pages={A645--A669} }'
chicago: 'Kovács, Balázs. “Numerical Surgery for Mean Curvature Flow of Surfaces.”
SIAM Journal on Scientific Computing 46, no. 2 (2024): A645--A669. https://doi.org/10.1137/22M1531919.'
ieee: 'B. Kovács, “Numerical surgery for mean curvature flow of surfaces,” SIAM
Journal on Scientific Computing, vol. 46, no. 2, pp. A645--A669, 2024, doi:
10.1137/22M1531919.'
mla: Kovács, Balázs. “Numerical Surgery for Mean Curvature Flow of Surfaces.” SIAM
Journal on Scientific Computing, vol. 46, no. 2, 2024, pp. A645--A669, doi:10.1137/22M1531919.
short: B. Kovács, SIAM Journal on Scientific Computing 46 (2024) A645--A669.
date_created: 2023-07-10T12:32:34Z
date_updated: 2024-08-27T07:42:56Z
department:
- _id: '841'
doi: 10.1137/22M1531919
extern: '1'
intvolume: ' 46'
issue: '2'
language:
- iso: eng
page: A645--A669
publication: SIAM Journal on Scientific Computing
status: public
title: Numerical surgery for mean curvature flow of surfaces
type: journal_article
user_id: '100441'
volume: 46
year: '2024'
...
---
_id: '53300'
article_number: '128125'
author:
- first_name: Dominik
full_name: Brennecken, Dominik
id: '55911'
last_name: Brennecken
citation:
ama: Brennecken D. Hankel transform, K-Bessel functions and zeta distributions in
the Dunkl setting. Journal of Mathematical Analysis and Applications. 2024;535(2).
doi:10.1016/j.jmaa.2024.128125
apa: Brennecken, D. (2024). Hankel transform, K-Bessel functions and zeta distributions
in the Dunkl setting. Journal of Mathematical Analysis and Applications,
535(2), Article 128125. https://doi.org/10.1016/j.jmaa.2024.128125
bibtex: '@article{Brennecken_2024, title={Hankel transform, K-Bessel functions and
zeta distributions in the Dunkl setting}, volume={535}, DOI={10.1016/j.jmaa.2024.128125},
number={2128125}, journal={Journal of Mathematical Analysis and Applications},
publisher={Elsevier BV}, author={Brennecken, Dominik}, year={2024} }'
chicago: Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions
in the Dunkl Setting.” Journal of Mathematical Analysis and Applications
535, no. 2 (2024). https://doi.org/10.1016/j.jmaa.2024.128125.
ieee: 'D. Brennecken, “Hankel transform, K-Bessel functions and zeta distributions
in the Dunkl setting,” Journal of Mathematical Analysis and Applications,
vol. 535, no. 2, Art. no. 128125, 2024, doi: 10.1016/j.jmaa.2024.128125.'
mla: Brennecken, Dominik. “Hankel Transform, K-Bessel Functions and Zeta Distributions
in the Dunkl Setting.” Journal of Mathematical Analysis and Applications,
vol. 535, no. 2, 128125, Elsevier BV, 2024, doi:10.1016/j.jmaa.2024.128125.
short: D. Brennecken, Journal of Mathematical Analysis and Applications 535 (2024).
date_created: 2024-04-05T13:55:33Z
date_updated: 2024-09-03T14:40:46Z
department:
- _id: '555'
doi: 10.1016/j.jmaa.2024.128125
intvolume: ' 535'
issue: '2'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
issn:
- 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting
type: journal_article
user_id: '55911'
volume: 535
year: '2024'
...
---
_id: '56016'
abstract:
- lang: eng
text: AbstractSpecial tasks for pre-service teachers
(PSTs) in university mathematics courses (“interface tasks”) are a common innovation
in recent years to overcome the second discontinuity. By this, we mean tasks that
are situated by typical everyday challenges of mathematics teaching and in which
PSTs must use their mathematical knowledge and skills in a professionally relevant
way. In this paper, we analyze answers that PSTs have created to an interface
task on symmetry. The PSTs were asked to clarify a student’s question from a mathematical
perspective and then give a suitable elementarized answer. We situate these two
steps theoretically and reconstruct the mathematical reasoning in PSTs' answers.
Through qualitative content analysis, we examined how PSTs justify figures' symmetries
from a university mathematics perspective and when responding to the fictitious
student. The scenario of a student questioning the existence of 100° rotationally
symmetrical figures elicited rich and varied responses, proving suitable for an
interface task. We compared PSTs' reasoning related to mathematical clarification
with the reasoning related to elementarization. In many cases, this revealed a
productive use of course content. An interesting result is that there is no uniform
picture as to whether the arguments are more detailed in the mathematical clarification
or in the elementarization.
article_type: original
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Hoffmann M, Biehler R. Using academic mathematical knowledge when working on
interface tasks–analyses of pre-service teachers’ arguments about rotationally
symmetric figures. ZDM – Mathematics Education. Published online 2024.
doi:10.1007/s11858-024-01633-4
apa: Hoffmann, M., & Biehler, R. (2024). Using academic mathematical knowledge
when working on interface tasks–analyses of pre-service teachers’ arguments about
rotationally symmetric figures. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-024-01633-4
bibtex: '@article{Hoffmann_Biehler_2024, title={Using academic mathematical knowledge
when working on interface tasks–analyses of pre-service teachers’ arguments about
rotationally symmetric figures}, DOI={10.1007/s11858-024-01633-4},
journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
Media LLC}, author={Hoffmann, Max and Biehler, Rolf}, year={2024} }'
chicago: Hoffmann, Max, and Rolf Biehler. “Using Academic Mathematical Knowledge
When Working on Interface Tasks–Analyses of Pre-Service Teachers’ Arguments about
Rotationally Symmetric Figures.” ZDM – Mathematics Education, 2024. https://doi.org/10.1007/s11858-024-01633-4.
ieee: 'M. Hoffmann and R. Biehler, “Using academic mathematical knowledge when working
on interface tasks–analyses of pre-service teachers’ arguments about rotationally
symmetric figures,” ZDM – Mathematics Education, 2024, doi: 10.1007/s11858-024-01633-4.'
mla: Hoffmann, Max, and Rolf Biehler. “Using Academic Mathematical Knowledge When
Working on Interface Tasks–Analyses of Pre-Service Teachers’ Arguments about Rotationally
Symmetric Figures.” ZDM – Mathematics Education, Springer Science and Business
Media LLC, 2024, doi:10.1007/s11858-024-01633-4.
short: M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2024).
date_created: 2024-09-04T09:32:26Z
date_updated: 2024-09-04T09:33:45Z
department:
- _id: '97'
- _id: '643'
doi: 10.1007/s11858-024-01633-4
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/content/pdf/10.1007/s11858-024-01633-4.pdf
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: Using academic mathematical knowledge when working on interface tasks–analyses
of pre-service teachers’ arguments about rotationally symmetric figures
type: journal_article
user_id: '32202'
year: '2024'
...
---
_id: '56001'
author:
- first_name: Dominik
full_name: Brennecken, Dominik
id: '55911'
last_name: Brennecken
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
citation:
ama: 'Brennecken D, Rösler M. The Laplace transform in Dunkl theory. In: Chatzakou
M, Ruzhansky M, Stoeva D, eds. Women in Analysis and PDE. Vol 5. Trends
in Mathematics: Research Perspectives Ghent Analysis and PDE Cente. Birkhäuser
Cham; 2024:425.'
apa: Brennecken, D., & Rösler, M. (2024). The Laplace transform in Dunkl theory.
In M. Chatzakou, M. Ruzhansky, & D. Stoeva (Eds.), Women in Analysis and
PDE (Vol. 5, p. 425). Birkhäuser Cham.
bibtex: '@inbook{Brennecken_Rösler_2024, series={Trends in Mathematics: Research
Perspectives Ghent Analysis and PDE Cente}, title={The Laplace transform in Dunkl
theory}, volume={5}, booktitle={Women in Analysis and PDE}, publisher={Birkhäuser
Cham}, author={Brennecken, Dominik and Rösler, Margit}, editor={Chatzakou, Marianna
and Ruzhansky, Michael and Stoeva, Diana}, year={2024}, pages={425}, collection={Trends
in Mathematics: Research Perspectives Ghent Analysis and PDE Cente} }'
chicago: 'Brennecken, Dominik, and Margit Rösler. “The Laplace Transform in Dunkl
Theory.” In Women in Analysis and PDE, edited by Marianna Chatzakou, Michael
Ruzhansky, and Diana Stoeva, 5:425. Trends in Mathematics: Research Perspectives
Ghent Analysis and PDE Cente. Birkhäuser Cham, 2024.'
ieee: D. Brennecken and M. Rösler, “The Laplace transform in Dunkl theory,” in Women
in Analysis and PDE, vol. 5, M. Chatzakou, M. Ruzhansky, and D. Stoeva, Eds.
Birkhäuser Cham, 2024, p. 425.
mla: Brennecken, Dominik, and Margit Rösler. “The Laplace Transform in Dunkl Theory.”
Women in Analysis and PDE, edited by Marianna Chatzakou et al., vol. 5,
Birkhäuser Cham, 2024, p. 425.
short: 'D. Brennecken, M. Rösler, in: M. Chatzakou, M. Ruzhansky, D. Stoeva (Eds.),
Women in Analysis and PDE, Birkhäuser Cham, 2024, p. 425.'
date_created: 2024-09-03T15:31:27Z
date_updated: 2024-09-05T06:58:54Z
department:
- _id: '555'
editor:
- first_name: Marianna
full_name: Chatzakou, Marianna
last_name: Chatzakou
- first_name: Michael
full_name: Ruzhansky, Michael
last_name: Ruzhansky
- first_name: Diana
full_name: Stoeva, Diana
last_name: Stoeva
intvolume: ' 5'
language:
- iso: eng
page: '425'
publication: Women in Analysis and PDE
publication_identifier:
isbn:
- 978-3-031-57004-9
publication_status: published
publisher: Birkhäuser Cham
series_title: 'Trends in Mathematics: Research Perspectives Ghent Analysis and PDE
Cente'
status: public
title: The Laplace transform in Dunkl theory
type: book_chapter
user_id: '82981'
volume: 5
year: '2024'
...