---
_id: '47416'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Joachim
  full_name: Engel, Joachim
  last_name: Engel
- first_name: Daniel
  full_name: Frischemeier, Daniel
  last_name: Frischemeier
citation:
  ama: 'Biehler R, Engel J, Frischemeier D. Stochastik: Leitidee Daten und Zufall.
    In: Bruder R, Büchter A, Gasteiger H, Schmidt-Thieme B, Weigand HG, eds. <i>Handbuch
    Der Mathematikdidaktik</i>. Springer; 2023. doi:<a href="https://doi.org/10.1007/978-3-662-66604-3_8">10.1007/978-3-662-66604-3_8</a>'
  apa: 'Biehler, R., Engel, J., &#38; Frischemeier, D. (2023). Stochastik: Leitidee
    Daten und Zufall. In R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, &#38;
    HG. Weigand (Eds.), <i>Handbuch der Mathematikdidaktik</i>. Springer. <a href="https://doi.org/10.1007/978-3-662-66604-3_8">https://doi.org/10.1007/978-3-662-66604-3_8</a>'
  bibtex: '@inbook{Biehler_Engel_Frischemeier_2023, place={Berlin, Heidelberg}, title={Stochastik:
    Leitidee Daten und Zufall}, DOI={<a href="https://doi.org/10.1007/978-3-662-66604-3_8">10.1007/978-3-662-66604-3_8</a>},
    booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer}, author={Biehler,
    Rolf and Engel, Joachim and Frischemeier, Daniel}, editor={Bruder, Regina and
    Büchter, A. and Gasteiger, H. and Schmidt-Thieme, B. and Weigand, HG.}, year={2023}
    }'
  chicago: 'Biehler, Rolf, Joachim Engel, and Daniel Frischemeier. “Stochastik: Leitidee
    Daten Und Zufall.” In <i>Handbuch Der Mathematikdidaktik</i>, edited by Regina
    Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, and HG. Weigand. Berlin,
    Heidelberg: Springer, 2023. <a href="https://doi.org/10.1007/978-3-662-66604-3_8">https://doi.org/10.1007/978-3-662-66604-3_8</a>.'
  ieee: 'R. Biehler, J. Engel, and D. Frischemeier, “Stochastik: Leitidee Daten und
    Zufall,” in <i>Handbuch der Mathematikdidaktik</i>, R. Bruder, A. Büchter, H.
    Gasteiger, B. Schmidt-Thieme, and HG. Weigand, Eds. Berlin, Heidelberg: Springer,
    2023.'
  mla: 'Biehler, Rolf, et al. “Stochastik: Leitidee Daten Und Zufall.” <i>Handbuch
    Der Mathematikdidaktik</i>, edited by Regina Bruder et al., Springer, 2023, doi:<a
    href="https://doi.org/10.1007/978-3-662-66604-3_8">10.1007/978-3-662-66604-3_8</a>.'
  short: 'R. Biehler, J. Engel, D. Frischemeier, in: R. Bruder, A. Büchter, H. Gasteiger,
    B. Schmidt-Thieme, HG. Weigand (Eds.), Handbuch Der Mathematikdidaktik, Springer,
    Berlin, Heidelberg, 2023.'
date_created: 2023-09-25T11:15:18Z
date_updated: 2024-04-18T10:01:00Z
department:
- _id: '363'
doi: 10.1007/978-3-662-66604-3_8
editor:
- first_name: Regina
  full_name: Bruder, Regina
  last_name: Bruder
- first_name: A.
  full_name: Büchter, A.
  last_name: Büchter
- first_name: H.
  full_name: Gasteiger, H.
  last_name: Gasteiger
- first_name: B.
  full_name: Schmidt-Thieme, B.
  last_name: Schmidt-Thieme
- first_name: HG.
  full_name: Weigand, HG.
  last_name: Weigand
language:
- iso: eng
place: Berlin, Heidelberg
publication: Handbuch der Mathematikdidaktik
publication_identifier:
  isbn:
  - '9783662666036'
  - '9783662666043'
publication_status: published
publisher: Springer
status: public
title: 'Stochastik: Leitidee Daten und Zufall'
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '48042'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Daniel
  full_name: Frischemeier, Daniel
  last_name: Frischemeier
- first_name: Ronald
  full_name: Gould, Ronald
  last_name: Gould
- first_name: Maxine
  full_name: Pfannkuch, Maxine
  last_name: Pfannkuch
citation:
  ama: 'Biehler R, Frischemeier D, Gould R, Pfannkuch M. Impacts of Digitalization
    on Content and Goals of Statistics Education. In: Pepin B, Gueudet G, Choppin
    J, eds. <i>Handbook of Digital Resources in Mathematics Education</i>. Springer
    International Publishing; 2023.'
  apa: Biehler, R., Frischemeier, D., Gould, R., &#38; Pfannkuch, M. (2023). Impacts
    of Digitalization on Content and Goals of Statistics Education. In B. Pepin, G.
    Gueudet, &#38; J. Choppin (Eds.), <i>Handbook of Digital Resources in Mathematics
    Education</i>. Springer International Publishing.
  bibtex: '@inbook{Biehler_Frischemeier_Gould_Pfannkuch_2023, place={Cham}, title={Impacts
    of Digitalization on Content and Goals of Statistics Education}, booktitle={Handbook
    of Digital Resources in Mathematics Education}, publisher={Springer International
    Publishing}, author={Biehler, Rolf and Frischemeier, Daniel and Gould, Ronald
    and Pfannkuch, Maxine}, editor={Pepin, Birgit and Gueudet, Ghislaine and Choppin,
    Jeffrey}, year={2023} }'
  chicago: 'Biehler, Rolf, Daniel Frischemeier, Ronald Gould, and Maxine Pfannkuch.
    “Impacts of Digitalization on Content and Goals of Statistics Education.” In <i>Handbook
    of Digital Resources in Mathematics Education</i>, edited by Birgit Pepin, Ghislaine
    Gueudet, and Jeffrey Choppin. Cham: Springer International Publishing, 2023.'
  ieee: 'R. Biehler, D. Frischemeier, R. Gould, and M. Pfannkuch, “Impacts of Digitalization
    on Content and Goals of Statistics Education,” in <i>Handbook of Digital Resources
    in Mathematics Education</i>, B. Pepin, G. Gueudet, and J. Choppin, Eds. Cham:
    Springer International Publishing, 2023.'
  mla: Biehler, Rolf, et al. “Impacts of Digitalization on Content and Goals of Statistics
    Education.” <i>Handbook of Digital Resources in Mathematics Education</i>, edited
    by Birgit Pepin et al., Springer International Publishing, 2023.
  short: 'R. Biehler, D. Frischemeier, R. Gould, M. Pfannkuch, in: B. Pepin, G. Gueudet,
    J. Choppin (Eds.), Handbook of Digital Resources in Mathematics Education, Springer
    International Publishing, Cham, 2023.'
date_created: 2023-10-12T11:31:22Z
date_updated: 2024-04-18T10:01:14Z
department:
- _id: '363'
editor:
- first_name: Birgit
  full_name: Pepin, Birgit
  last_name: Pepin
- first_name: Ghislaine
  full_name: Gueudet, Ghislaine
  last_name: Gueudet
- first_name: Jeffrey
  full_name: Choppin, Jeffrey
  last_name: Choppin
language:
- iso: eng
place: Cham
publication: Handbook of Digital Resources in Mathematics Education
publisher: Springer International Publishing
status: public
title: Impacts of Digitalization on Content and Goals of Statistics Education
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '49049'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Katja
  full_name: Krüger, Katja
  last_name: Krüger
citation:
  ama: 'Biehler R, Krüger K. Von Glückstal (Ukraine) nach Frankfurt: Problemlösen,
    Algorithmen, Stochastik – Nachruf auf Arthur Engel. <i>GDM-Mitteilungen</i>. 2023;(115):57-65.'
  apa: 'Biehler, R., &#38; Krüger, K. (2023). Von Glückstal (Ukraine) nach Frankfurt:
    Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel. <i>GDM-Mitteilungen</i>,
    <i>115</i>, 57–65.'
  bibtex: '@article{Biehler_Krüger_2023, title={Von Glückstal (Ukraine) nach Frankfurt:
    Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel}, number={115},
    journal={GDM-Mitteilungen}, author={Biehler, Rolf and Krüger, Katja}, year={2023},
    pages={57–65} }'
  chicago: 'Biehler, Rolf, and Katja Krüger. “Von Glückstal (Ukraine) nach Frankfurt:
    Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel.” <i>GDM-Mitteilungen</i>,
    no. 115 (2023): 57–65.'
  ieee: 'R. Biehler and K. Krüger, “Von Glückstal (Ukraine) nach Frankfurt: Problemlösen,
    Algorithmen, Stochastik – Nachruf auf Arthur Engel,” <i>GDM-Mitteilungen</i>,
    no. 115, pp. 57–65, 2023.'
  mla: 'Biehler, Rolf, and Katja Krüger. “Von Glückstal (Ukraine) nach Frankfurt:
    Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel.” <i>GDM-Mitteilungen</i>,
    no. 115, 2023, pp. 57–65.'
  short: R. Biehler, K. Krüger, GDM-Mitteilungen (2023) 57–65.
date_created: 2023-11-20T08:23:51Z
date_updated: 2024-04-18T10:01:43Z
ddc:
- '510'
department:
- _id: '363'
file:
- access_level: closed
  content_type: application/pdf
  creator: krueter
  date_created: 2023-11-20T08:23:14Z
  date_updated: 2023-11-20T08:23:14Z
  file_id: '49050'
  file_name: Biehler_2023_NachrufEngel_MGM115.pdf
  file_size: 316979
  relation: main_file
  success: 1
file_date_updated: 2023-11-20T08:23:14Z
has_accepted_license: '1'
issue: '115'
language:
- iso: ger
page: 57-65
publication: GDM-Mitteilungen
status: public
title: 'Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik
  – Nachruf auf Arthur Engel'
type: journal_article
user_id: '37888'
year: '2023'
...
---
_id: '35669'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Ghislaine
  full_name: Gueudet, Ghislaine
  last_name: Gueudet
- first_name: Chris
  full_name: Rasmussen, Chris
  last_name: Rasmussen
- first_name: Carl
  full_name: Winsløw, Carl
  last_name: Winsløw
citation:
  ama: 'Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C. Practice-Oriented
    Research in Tertiary Mathematics Education – An Introduction. In: <i>Practice-Oriented
    Research in Tertiary Mathematics Education</i>. Springer International Publishing;
    2023. doi:<a href="https://doi.org/10.1007/978-3-031-14175-1_1">10.1007/978-3-031-14175-1_1</a>'
  apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., &#38; Winsløw, C.
    (2023). Practice-Oriented Research in Tertiary Mathematics Education – An Introduction.
    In <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Springer
    International Publishing. <a href="https://doi.org/10.1007/978-3-031-14175-1_1">https://doi.org/10.1007/978-3-031-14175-1_1</a>
  bibtex: '@inbook{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham},
    title={Practice-Oriented Research in Tertiary Mathematics Education – An Introduction},
    DOI={<a href="https://doi.org/10.1007/978-3-031-14175-1_1">10.1007/978-3-031-14175-1_1</a>},
    booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer
    International Publishing}, author={Biehler, Rolf and Liebendörfer, Michael and
    Gueudet, Ghislaine and Rasmussen, Chris and Winsløw, Carl}, year={2023} }'
  chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen,
    and Carl Winsløw. “Practice-Oriented Research in Tertiary Mathematics Education
    – An Introduction.” In <i>Practice-Oriented Research in Tertiary Mathematics Education</i>.
    Cham: Springer International Publishing, 2023. <a href="https://doi.org/10.1007/978-3-031-14175-1_1">https://doi.org/10.1007/978-3-031-14175-1_1</a>.'
  ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, “Practice-Oriented
    Research in Tertiary Mathematics Education – An Introduction,” in <i>Practice-Oriented
    Research in Tertiary Mathematics Education</i>, Cham: Springer International Publishing,
    2023.'
  mla: Biehler, Rolf, et al. “Practice-Oriented Research in Tertiary Mathematics Education
    – An Introduction.” <i>Practice-Oriented Research in Tertiary Mathematics Education</i>,
    Springer International Publishing, 2023, doi:<a href="https://doi.org/10.1007/978-3-031-14175-1_1">10.1007/978-3-031-14175-1_1</a>.
  short: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, in: Practice-Oriented
    Research in Tertiary Mathematics Education, Springer International Publishing,
    Cham, 2023.'
date_created: 2023-01-10T08:46:17Z
date_updated: 2024-04-18T10:08:52Z
department:
- _id: '363'
- _id: '625'
doi: 10.1007/978-3-031-14175-1_1
language:
- iso: eng
place: Cham
publication: Practice-Oriented Research in Tertiary Mathematics Education
publication_identifier:
  isbn:
  - '9783031141744'
  - '9783031141751'
  issn:
  - 1869-4918
  - 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Practice-Oriented Research in Tertiary Mathematics Education – An Introduction
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '35681'
author:
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Christiane
  full_name: Büdenbender-Kuklinski, Christiane
  last_name: Büdenbender-Kuklinski
- first_name: Elisa
  full_name: Lankeit, Elisa
  last_name: Lankeit
- first_name: Mirko
  full_name: Schürmann, Mirko
  id: '59707'
  last_name: Schürmann
  orcid: 0000-0003-2646-085X
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Niclas
  full_name: Schaper, Niclas
  last_name: Schaper
citation:
  ama: 'Liebendörfer M, Büdenbender-Kuklinski C, Lankeit E, Schürmann M, Biehler R,
    Schaper N. Framing Goals of Mathematics Support Measures. In: <i>Practice-Oriented
    Research in Tertiary Mathematics Education</i>. Springer International Publishing;
    2023:91-117. doi:<a href="https://doi.org/10.1007/978-3-031-14175-1_5">10.1007/978-3-031-14175-1_5</a>'
  apa: Liebendörfer, M., Büdenbender-Kuklinski, C., Lankeit, E., Schürmann, M., Biehler,
    R., &#38; Schaper, N. (2023). Framing Goals of Mathematics Support Measures. In
    <i>Practice-Oriented Research in Tertiary Mathematics Education</i> (pp. 91–117).
    Springer International Publishing. <a href="https://doi.org/10.1007/978-3-031-14175-1_5">https://doi.org/10.1007/978-3-031-14175-1_5</a>
  bibtex: '@inbook{Liebendörfer_Büdenbender-Kuklinski_Lankeit_Schürmann_Biehler_Schaper_2023,
    place={Cham}, title={Framing Goals of Mathematics Support Measures}, DOI={<a href="https://doi.org/10.1007/978-3-031-14175-1_5">10.1007/978-3-031-14175-1_5</a>},
    booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer
    International Publishing}, author={Liebendörfer, Michael and Büdenbender-Kuklinski,
    Christiane and Lankeit, Elisa and Schürmann, Mirko and Biehler, Rolf and Schaper,
    Niclas}, year={2023}, pages={91–117} }'
  chicago: 'Liebendörfer, Michael, Christiane Büdenbender-Kuklinski, Elisa Lankeit,
    Mirko Schürmann, Rolf Biehler, and Niclas Schaper. “Framing Goals of Mathematics
    Support Measures.” In <i>Practice-Oriented Research in Tertiary Mathematics Education</i>,
    91–117. Cham: Springer International Publishing, 2023. <a href="https://doi.org/10.1007/978-3-031-14175-1_5">https://doi.org/10.1007/978-3-031-14175-1_5</a>.'
  ieee: 'M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R. Biehler,
    and N. Schaper, “Framing Goals of Mathematics Support Measures,” in <i>Practice-Oriented
    Research in Tertiary Mathematics Education</i>, Cham: Springer International Publishing,
    2023, pp. 91–117.'
  mla: Liebendörfer, Michael, et al. “Framing Goals of Mathematics Support Measures.”
    <i>Practice-Oriented Research in Tertiary Mathematics Education</i>, Springer
    International Publishing, 2023, pp. 91–117, doi:<a href="https://doi.org/10.1007/978-3-031-14175-1_5">10.1007/978-3-031-14175-1_5</a>.
  short: 'M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R.
    Biehler, N. Schaper, in: Practice-Oriented Research in Tertiary Mathematics Education,
    Springer International Publishing, Cham, 2023, pp. 91–117.'
date_created: 2023-01-10T08:55:08Z
date_updated: 2024-04-18T10:10:22Z
department:
- _id: '363'
- _id: '423'
- _id: '625'
doi: 10.1007/978-3-031-14175-1_5
language:
- iso: eng
page: 91-117
place: Cham
publication: Practice-Oriented Research in Tertiary Mathematics Education
publication_identifier:
  isbn:
  - '9783031141744'
  - '9783031141751'
  issn:
  - 1869-4918
  - 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Framing Goals of Mathematics Support Measures
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '46157'
citation:
  ama: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. <i>Practice-Oriented
    Research in Tertiary Mathematics Education</i>. Springer International Publishing;
    2023. doi:<a href="https://doi.org/10.1007/978-3-031-14175-1">10.1007/978-3-031-14175-1</a>
  apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., &#38; Winsløw, C.
    (Eds.). (2023). <i>Practice-Oriented Research in Tertiary Mathematics Education</i>.
    Springer International Publishing. <a href="https://doi.org/10.1007/978-3-031-14175-1">https://doi.org/10.1007/978-3-031-14175-1</a>
  bibtex: '@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham},
    title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={<a
    href="https://doi.org/10.1007/978-3-031-14175-1">10.1007/978-3-031-14175-1</a>},
    publisher={Springer International Publishing}, year={2023} }'
  chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen,
    and Carl Winsløw, eds. <i>Practice-Oriented Research in Tertiary Mathematics Education</i>.
    Cham: Springer International Publishing, 2023. <a href="https://doi.org/10.1007/978-3-031-14175-1">https://doi.org/10.1007/978-3-031-14175-1</a>.'
  ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds.,
    <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Cham: Springer
    International Publishing, 2023.'
  mla: Biehler, Rolf, et al., editors. <i>Practice-Oriented Research in Tertiary Mathematics
    Education</i>. Springer International Publishing, 2023, doi:<a href="https://doi.org/10.1007/978-3-031-14175-1">10.1007/978-3-031-14175-1</a>.
  short: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds.,
    Practice-Oriented Research in Tertiary Mathematics Education, Springer International
    Publishing, Cham, 2023.
date_created: 2023-07-26T10:16:08Z
date_updated: 2024-04-18T10:09:52Z
department:
- _id: '363'
- _id: '625'
doi: 10.1007/978-3-031-14175-1
editor:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Ghislaine
  full_name: Gueudet, Ghislaine
  last_name: Gueudet
- first_name: Chris
  full_name: Rasmussen, Chris
  last_name: Rasmussen
- first_name: Carl
  full_name: Winsløw, Carl
  last_name: Winsløw
language:
- iso: eng
place: Cham
publication_identifier:
  isbn:
  - '9783031141744'
  - '9783031141751'
  issn:
  - 1869-4918
  - 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Practice-Oriented Research in Tertiary Mathematics Education
type: book_editor
user_id: '37888'
year: '2023'
...
---
_id: '43504'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: A.
  full_name: Schmitz, A.
  last_name: Schmitz
citation:
  ama: Biehler R, Liebendörfer M, Schmitz A. Lernvideos und ihre Erstellung - Das
    Projekt studiVEMINTvideos. <i>Mitteilungen der Gesellschaft für Didaktik der Mathematik</i>.
    2023;114:8-12.
  apa: Biehler, R., Liebendörfer, M., &#38; Schmitz, A. (2023). Lernvideos und ihre
    Erstellung - Das Projekt studiVEMINTvideos. <i>Mitteilungen der Gesellschaft für
    Didaktik der Mathematik</i>, <i>114</i>, 8–12.
  bibtex: '@article{Biehler_Liebendörfer_Schmitz_2023, title={Lernvideos und ihre
    Erstellung - Das Projekt studiVEMINTvideos}, volume={114}, journal={Mitteilungen
    der Gesellschaft für Didaktik der Mathematik}, author={Biehler, Rolf and Liebendörfer,
    Michael and Schmitz, A.}, year={2023}, pages={8–12} }'
  chicago: 'Biehler, Rolf, Michael Liebendörfer, and A. Schmitz. “Lernvideos und ihre
    Erstellung - Das Projekt studiVEMINTvideos.” <i>Mitteilungen der Gesellschaft
    für Didaktik der Mathematik</i> 114 (2023): 8–12.'
  ieee: R. Biehler, M. Liebendörfer, and A. Schmitz, “Lernvideos und ihre Erstellung
    - Das Projekt studiVEMINTvideos,” <i>Mitteilungen der Gesellschaft für Didaktik
    der Mathematik</i>, vol. 114, pp. 8–12, 2023.
  mla: Biehler, Rolf, et al. “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos.”
    <i>Mitteilungen der Gesellschaft für Didaktik der Mathematik</i>, vol. 114, 2023,
    pp. 8–12.
  short: R. Biehler, M. Liebendörfer, A. Schmitz, Mitteilungen der Gesellschaft für
    Didaktik der Mathematik 114 (2023) 8–12.
date_created: 2023-04-14T09:25:18Z
date_updated: 2024-04-18T10:10:59Z
department:
- _id: '363'
- _id: '625'
intvolume: '       114'
language:
- iso: ger
page: 8-12
publication: Mitteilungen der Gesellschaft für Didaktik der Mathematik
status: public
title: Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos
type: journal_article
user_id: '37888'
volume: 114
year: '2023'
...
---
_id: '36294'
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 Dunkl-Laplace transform and Macdonald’s hypergeometric
    series. <i>Transactions of the American Mathematical Society</i>. 2023;376(4):2419-2447.
    doi:<a href="https://doi.org/10.1090/tran/8860">10.1090/tran/8860</a>
  apa: Brennecken, D., &#38; Rösler, M. (2023). The Dunkl-Laplace transform and Macdonald’s
    hypergeometric series. <i>Transactions of the American Mathematical Society</i>,
    <i>376</i>(4), 2419–2447. <a href="https://doi.org/10.1090/tran/8860">https://doi.org/10.1090/tran/8860</a>
  bibtex: '@article{Brennecken_Rösler_2023, title={The Dunkl-Laplace transform and
    Macdonald’s hypergeometric series}, volume={376}, DOI={<a href="https://doi.org/10.1090/tran/8860">10.1090/tran/8860</a>},
    number={4}, journal={Transactions of the American Mathematical Society}, publisher={
    American Mathematical Society}, author={Brennecken, Dominik and Rösler, Margit},
    year={2023}, pages={2419–2447} }'
  chicago: 'Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and
    Macdonald’s Hypergeometric Series.” <i>Transactions of the American Mathematical
    Society</i> 376, no. 4 (2023): 2419–47. <a href="https://doi.org/10.1090/tran/8860">https://doi.org/10.1090/tran/8860</a>.'
  ieee: 'D. Brennecken and M. Rösler, “The Dunkl-Laplace transform and Macdonald’s
    hypergeometric series,” <i>Transactions of the American Mathematical Society</i>,
    vol. 376, no. 4, pp. 2419–2447, 2023, doi: <a href="https://doi.org/10.1090/tran/8860">10.1090/tran/8860</a>.'
  mla: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s
    Hypergeometric Series.” <i>Transactions of the American Mathematical Society</i>,
    vol. 376, no. 4,  American Mathematical Society, 2023, pp. 2419–47, doi:<a href="https://doi.org/10.1090/tran/8860">10.1090/tran/8860</a>.
  short: D. Brennecken, M. Rösler, Transactions of the American Mathematical Society
    376 (2023) 2419–2447.
date_created: 2023-01-12T08:32:44Z
date_updated: 2024-04-24T12:47:49Z
department:
- _id: '555'
doi: 10.1090/tran/8860
intvolume: '       376'
issue: '4'
language:
- iso: eng
page: 2419-2447
publication: Transactions of the American Mathematical Society
publication_status: published
publisher: ' American Mathematical Society'
status: public
title: The Dunkl-Laplace transform and Macdonald’s hypergeometric series
type: journal_article
user_id: '37390'
volume: 376
year: '2023'
...
---
_id: '53053'
author:
- first_name: Tim
  full_name: Kolbe, Tim
  id: '85819'
  last_name: Kolbe
citation:
  ama: 'Kolbe T. Think-aloud beim hochschulischen Mathematiklernen – Ergebnisse einer
    Pilotierung. In: IDMI Primar Goethe-Univeristät Frankfurt ., ed. <i>Beiträge Zum
    Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der
    Mathematik</i>. WTM; 2023. doi:<a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>'
  apa: Kolbe, T. (2023). Think-aloud beim hochschulischen Mathematiklernen – Ergebnisse
    einer Pilotierung. In . IDMI Primar Goethe-Univeristät Frankfurt (Ed.), <i>Beiträge
    zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik
    der Mathematik</i>. WTM. <a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>
  bibtex: '@inproceedings{Kolbe_2023, title={Think-aloud beim hochschulischen Mathematiklernen
    – Ergebnisse einer Pilotierung}, DOI={<a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>},
    booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik}, publisher={WTM}, author={Kolbe, Tim}, editor={IDMI
    Primar Goethe-Univeristät Frankfurt, .}, year={2023} }'
  chicago: Kolbe, Tim. “Think-Aloud Beim Hochschulischen Mathematiklernen – Ergebnisse
    Einer Pilotierung.” In <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
    Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by . IDMI Primar Goethe-Univeristät
    Frankfurt. WTM, 2023. <a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>.
  ieee: 'T. Kolbe, “Think-aloud beim hochschulischen Mathematiklernen – Ergebnisse
    einer Pilotierung,” in <i>Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik</i>, Frankfurt am Main, 2023, doi:
    <a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>.'
  mla: Kolbe, Tim. “Think-Aloud Beim Hochschulischen Mathematiklernen – Ergebnisse
    Einer Pilotierung.” <i>Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
    Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by . IDMI Primar Goethe-Univeristät
    Frankfurt, WTM, 2023, doi:<a href="https://doi.org/10.37626/GA9783959872089.0">https://doi.org/10.37626/GA9783959872089.0</a>.
  short: 'T. Kolbe, in: . IDMI Primar Goethe-Univeristät Frankfurt (Ed.), Beiträge
    Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
    Der Mathematik, WTM, 2023.'
conference:
  location: Frankfurt am Main
  name: 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik
date_created: 2024-03-27T09:29:20Z
date_updated: 2024-04-26T08:13:52Z
department:
- _id: '98'
doi: https://doi.org/10.37626/GA9783959872089.0
editor:
- first_name: .
  full_name: IDMI Primar Goethe-Univeristät Frankfurt, .
  last_name: IDMI Primar Goethe-Univeristät Frankfurt
language:
- iso: eng
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
  für Didaktik der Mathematik
publisher: WTM
status: public
title: Think-aloud beim hochschulischen Mathematiklernen – Ergebnisse einer Pilotierung
type: conference_abstract
user_id: '85819'
year: '2023'
...
---
_id: '46569'
abstract:
- lang: eng
  text: '<jats:title>Abstract</jats:title><jats:p>External visualization (i.e., physically
    embodied visualization) is central to the teaching and learning of mathematics.
    As external visualization is an important part of mathematics at all levels of
    education, it is diverse, and research on external visualization has become a
    wide and complex field. The aim of this scoping review is to characterize external
    visualizations in recent mathematics education research in order to develop a
    common ground and guide future research. A qualitative content analysis of the
    full texts of 130 studies published between 2018 and 2022 applied a deductive-inductive
    coding procedure to assess four dimensions: visualization product or process,
    type of visualization, media, and purpose. The analysis revealed different types
    of external visualizations including visualizations with physical resemblance
    ranging from pictorial to abstract visualizations as well as three types of visualizations
    with structural resemblance: length, area, and relational visualizations. Future
    research should include measures of visualization products or processes to help
    explain the demands and affordances that different types of visualizations present
    to learners and teachers.</jats:p>'
author:
- first_name: Johanna
  full_name: Schoenherr, Johanna
  last_name: Schoenherr
- first_name: Stanislaw
  full_name: Schukajlow, Stanislaw
  last_name: Schukajlow
citation:
  ama: 'Schoenherr J, Schukajlow S. Characterizing external visualization in mathematics
    education research: a scoping review. <i>ZDM – Mathematics Education</i>. Published
    online 2023. doi:<a href="https://doi.org/10.1007/s11858-023-01494-3">10.1007/s11858-023-01494-3</a>'
  apa: 'Schoenherr, J., &#38; Schukajlow, S. (2023). Characterizing external visualization
    in mathematics education research: a scoping review. <i>ZDM – Mathematics Education</i>.
    <a href="https://doi.org/10.1007/s11858-023-01494-3">https://doi.org/10.1007/s11858-023-01494-3</a>'
  bibtex: '@article{Schoenherr_Schukajlow_2023, title={Characterizing external visualization
    in mathematics education research: a scoping review}, DOI={<a href="https://doi.org/10.1007/s11858-023-01494-3">10.1007/s11858-023-01494-3</a>},
    journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
    Media LLC}, author={Schoenherr, Johanna and Schukajlow, Stanislaw}, year={2023}
    }'
  chicago: 'Schoenherr, Johanna, and Stanislaw Schukajlow. “Characterizing External
    Visualization in Mathematics Education Research: A Scoping Review.” <i>ZDM – Mathematics
    Education</i>, 2023. <a href="https://doi.org/10.1007/s11858-023-01494-3">https://doi.org/10.1007/s11858-023-01494-3</a>.'
  ieee: 'J. Schoenherr and S. Schukajlow, “Characterizing external visualization in
    mathematics education research: a scoping review,” <i>ZDM – Mathematics Education</i>,
    2023, doi: <a href="https://doi.org/10.1007/s11858-023-01494-3">10.1007/s11858-023-01494-3</a>.'
  mla: 'Schoenherr, Johanna, and Stanislaw Schukajlow. “Characterizing External Visualization
    in Mathematics Education Research: A Scoping Review.” <i>ZDM – Mathematics Education</i>,
    Springer Science and Business Media LLC, 2023, doi:<a href="https://doi.org/10.1007/s11858-023-01494-3">10.1007/s11858-023-01494-3</a>.'
  short: J. Schoenherr, S. Schukajlow, ZDM – Mathematics Education (2023).
date_created: 2023-08-17T10:11:45Z
date_updated: 2024-04-30T13:43:22Z
department:
- _id: '913'
doi: 10.1007/s11858-023-01494-3
keyword:
- General Mathematics
- Education
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: 'Characterizing external visualization in mathematics education research: a
  scoping review'
type: journal_article
user_id: '99409'
year: '2023'
...
---
_id: '53533'
author:
- first_name: Alena
  full_name: Ernst, Alena
  id: '46953'
  last_name: Ernst
- first_name: Kai-Uwe
  full_name: Schmidt, Kai-Uwe
  last_name: Schmidt
citation:
  ama: Ernst A, Schmidt K-U. Intersection theorems for finite general linear groups.
    <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. 2023;175(1):129-160.
    doi:<a href="https://doi.org/10.1017/s0305004123000075">10.1017/s0305004123000075</a>
  apa: Ernst, A., &#38; Schmidt, K.-U. (2023). Intersection theorems for finite general
    linear groups. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>,
    <i>175</i>(1), 129–160. <a href="https://doi.org/10.1017/s0305004123000075">https://doi.org/10.1017/s0305004123000075</a>
  bibtex: '@article{Ernst_Schmidt_2023, title={Intersection theorems for finite general
    linear groups}, volume={175}, DOI={<a href="https://doi.org/10.1017/s0305004123000075">10.1017/s0305004123000075</a>},
    number={1}, journal={Mathematical Proceedings of the Cambridge Philosophical Society},
    publisher={Cambridge University Press (CUP)}, author={Ernst, Alena and Schmidt,
    Kai-Uwe}, year={2023}, pages={129–160} }'
  chicago: 'Ernst, Alena, and Kai-Uwe Schmidt. “Intersection Theorems for Finite General
    Linear Groups.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>
    175, no. 1 (2023): 129–60. <a href="https://doi.org/10.1017/s0305004123000075">https://doi.org/10.1017/s0305004123000075</a>.'
  ieee: 'A. Ernst and K.-U. Schmidt, “Intersection theorems for finite general linear
    groups,” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>,
    vol. 175, no. 1, pp. 129–160, 2023, doi: <a href="https://doi.org/10.1017/s0305004123000075">10.1017/s0305004123000075</a>.'
  mla: Ernst, Alena, and Kai-Uwe Schmidt. “Intersection Theorems for Finite General
    Linear Groups.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>,
    vol. 175, no. 1, Cambridge University Press (CUP), 2023, pp. 129–60, doi:<a href="https://doi.org/10.1017/s0305004123000075">10.1017/s0305004123000075</a>.
  short: A. Ernst, K.-U. Schmidt, Mathematical Proceedings of the Cambridge Philosophical
    Society 175 (2023) 129–160.
date_created: 2024-04-17T12:23:18Z
date_updated: 2024-05-07T08:29:59Z
department:
- _id: '100'
doi: 10.1017/s0305004123000075
intvolume: '       175'
issue: '1'
keyword:
- General Mathematics
language:
- iso: eng
page: 129-160
publication: Mathematical Proceedings of the Cambridge Philosophical Society
publication_identifier:
  issn:
  - 0305-0041
  - 1469-8064
publication_status: published
publisher: Cambridge University Press (CUP)
status: public
title: Intersection theorems for finite general linear groups
type: journal_article
user_id: '46953'
volume: 175
year: '2023'
...
---
_id: '48596'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: R.
  full_name: Schmidt, R.
  last_name: Schmidt
- first_name: Petra
  full_name: Büker, Petra
  id: '21978'
  last_name: Büker
citation:
  ama: 'Häsel-Weide U, Schmidt R, Büker P. „FInDig“: Fach – Inklusion – Digitalisierung
    vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung. <i>Zeitschrift
    für Schul- und Professionsentwicklung (PFLB)</i>. 2023;5(1):215-229.'
  apa: 'Häsel-Weide, U., Schmidt, R., &#38; Büker, P. (2023). „FInDig“: Fach – Inklusion
    – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung.
    <i>Zeitschrift für Schul- und Professionsentwicklung (PFLB)</i>, <i>5</i>(1),
    215–229.'
  bibtex: '@article{Häsel-Weide_Schmidt_Büker_2023, title={„FInDig“: Fach – Inklusion
    – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung},
    volume={5}, number={1}, journal={Zeitschrift für Schul- und Professionsentwicklung
    (PFLB)}, author={Häsel-Weide, Uta and Schmidt, R. and Büker, Petra}, year={2023},
    pages={215–229} }'
  chicago: 'Häsel-Weide, Uta, R. Schmidt, and Petra Büker. “„FInDig“: Fach – Inklusion
    – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung.”
    <i>Zeitschrift für Schul- und Professionsentwicklung (PFLB)</i> 5, no. 1 (2023):
    215–29.'
  ieee: 'U. Häsel-Weide, R. Schmidt, and P. Büker, “„FInDig“: Fach – Inklusion – Digitalisierung
    vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung,” <i>Zeitschrift
    für Schul- und Professionsentwicklung (PFLB)</i>, vol. 5, no. 1, pp. 215–229,
    2023.'
  mla: 'Häsel-Weide, Uta, et al. “„FInDig“: Fach – Inklusion – Digitalisierung vernetzen.
    Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung.” <i>Zeitschrift
    für Schul- und Professionsentwicklung (PFLB)</i>, vol. 5, no. 1, 2023, pp. 215–29.'
  short: U. Häsel-Weide, R. Schmidt, P. Büker, Zeitschrift für Schul- und Professionsentwicklung
    (PFLB) 5 (2023) 215–229.
date_created: 2023-11-02T11:22:34Z
date_updated: 2024-07-23T13:05:48Z
department:
- _id: '543'
- _id: '458'
intvolume: '         5'
issue: '1'
language:
- iso: ger
page: 215-229
publication: Zeitschrift für Schul- und Professionsentwicklung (PFLB)
related_material:
  link:
  - relation: original
    url: 'https://doi.org/10.11576/pflb-6763 '
status: public
title: '„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und
  Reflexionsmodell für die Lehrkräftebildung'
type: journal_article
user_id: '26718'
volume: 5
year: '2023'
...
---
_id: '55277'
author:
- first_name: B.
  full_name: Klahn, B.
  last_name: Klahn
- first_name: Marc
  full_name: Technau, Marc
  id: '106108'
  last_name: Technau
  orcid: 0000-0001-9650-2459
citation:
  ama: Klahn B, Technau M. Galois groups of (<sup>n</sup>₀)+(<sup>n</sup>₁)X+…+(<sup>n</sup>₆)X<sup>6</sup>.
    <i>Int J Number Theory</i>. 2023;19(10):2443–2450. doi:<a href="https://doi.org/10.1142/S1793042123501208">10.1142/S1793042123501208</a>
  apa: Klahn, B., &#38; Technau, M. (2023). Galois groups of (<sup>n</sup>₀)+(<sup>n</sup>₁)X+…+(<sup>n</sup>₆)X<sup>6</sup>.
    <i>Int. J. Number Theory</i>, <i>19</i>(10), 2443–2450. <a href="https://doi.org/10.1142/S1793042123501208">https://doi.org/10.1142/S1793042123501208</a>
  bibtex: '@article{Klahn_Technau_2023, title={Galois groups of (<sup>n</sup>₀)+(<sup>n</sup>₁)X+…+(<sup>n</sup>₆)X<sup>6</sup>},
    volume={19}, DOI={<a href="https://doi.org/10.1142/S1793042123501208">10.1142/S1793042123501208</a>},
    number={10}, journal={Int. J. Number Theory}, author={Klahn, B. and Technau, Marc},
    year={2023}, pages={2443–2450} }'
  chicago: 'Klahn, B., and Marc Technau. “Galois Groups of (<sup>n</sup>₀)+(<sup>n</sup>₁)X+…+(<sup>n</sup>₆)X<sup>6</sup>.”
    <i>Int. J. Number Theory</i> 19, no. 10 (2023): 2443–2450. <a href="https://doi.org/10.1142/S1793042123501208">https://doi.org/10.1142/S1793042123501208</a>.'
  ieee: 'B. Klahn and M. Technau, “Galois groups of (<sup>n</sup>₀)+(<sup>n</sup>₁)X+…+(<sup>n</sup>₆)X<sup>6</sup>,”
    <i>Int. J. Number Theory</i>, vol. 19, no. 10, pp. 2443–2450, 2023, doi: <a href="https://doi.org/10.1142/S1793042123501208">10.1142/S1793042123501208</a>.'
  mla: Klahn, B., and Marc Technau. “Galois Groups of (<sup>n</sup>₀)+(<sup>n</sup>₁)X+…+(<sup>n</sup>₆)X<sup>6</sup>.”
    <i>Int. J. Number Theory</i>, vol. 19, no. 10, 2023, pp. 2443–2450, doi:<a href="https://doi.org/10.1142/S1793042123501208">10.1142/S1793042123501208</a>.
  short: B. Klahn, M. Technau, Int. J. Number Theory 19 (2023) 2443–2450.
date_created: 2024-07-16T11:09:01Z
date_updated: 2024-07-24T07:23:33Z
department:
- _id: '102'
doi: 10.1142/S1793042123501208
extern: '1'
intvolume: '        19'
issue: '10'
language:
- iso: eng
page: 2443–2450
publication: Int. J. Number Theory
status: public
title: Galois groups of (ⁿ₀)+(ⁿ₁)X+…+(ⁿ₆)X⁶
type: journal_article
user_id: '106108'
volume: 19
year: '2023'
...
---
_id: '55279'
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. Bias in the number of steps in the Euclidean
    algorithm and a conjecture of Ito on Dedekind sums. <i>Math Ann</i>. 2023;387:291–320.
    doi:<a href="https://doi.org/10.1007/s00208-022-02452-2">10.1007/s00208-022-02452-2</a>
  apa: Minelli, P., Sourmelidis, A., &#38; Technau, M. (2023). Bias in the number
    of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums.
    <i>Math. Ann.</i>, <i>387</i>, 291–320. <a href="https://doi.org/10.1007/s00208-022-02452-2">https://doi.org/10.1007/s00208-022-02452-2</a>
  bibtex: '@article{Minelli_Sourmelidis_Technau_2023, title={Bias in the number of
    steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums}, volume={387},
    DOI={<a href="https://doi.org/10.1007/s00208-022-02452-2">10.1007/s00208-022-02452-2</a>},
    journal={Math. Ann.}, author={Minelli, P. and Sourmelidis, A. and Technau, Marc},
    year={2023}, pages={291–320} }'
  chicago: 'Minelli, P., A. Sourmelidis, and Marc Technau. “Bias in the Number of
    Steps in the Euclidean Algorithm and a Conjecture of Ito on Dedekind Sums.” <i>Math.
    Ann.</i> 387 (2023): 291–320. <a href="https://doi.org/10.1007/s00208-022-02452-2">https://doi.org/10.1007/s00208-022-02452-2</a>.'
  ieee: 'P. Minelli, A. Sourmelidis, and M. Technau, “Bias in the number of steps
    in the Euclidean algorithm and a conjecture of Ito on Dedekind sums,” <i>Math.
    Ann.</i>, vol. 387, pp. 291–320, 2023, doi: <a href="https://doi.org/10.1007/s00208-022-02452-2">10.1007/s00208-022-02452-2</a>.'
  mla: Minelli, P., et al. “Bias in the Number of Steps in the Euclidean Algorithm
    and a Conjecture of Ito on Dedekind Sums.” <i>Math. Ann.</i>, vol. 387, 2023,
    pp. 291–320, doi:<a href="https://doi.org/10.1007/s00208-022-02452-2">10.1007/s00208-022-02452-2</a>.
  short: P. Minelli, A. Sourmelidis, M. Technau, Math. Ann. 387 (2023) 291–320.
date_created: 2024-07-16T11:09:01Z
date_updated: 2024-07-24T07:26:05Z
department:
- _id: '102'
doi: 10.1007/s00208-022-02452-2
extern: '1'
intvolume: '       387'
language:
- iso: eng
page: 291–320
publication: Math. Ann.
status: public
title: Bias in the number of steps in the Euclidean algorithm and a conjecture of
  Ito on Dedekind sums
type: journal_article
user_id: '106108'
volume: 387
year: '2023'
...
---
_id: '34803'
article_number: '50'
author:
- first_name: Elena
  full_name: Celledoni, Elena
  last_name: Celledoni
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Jørgen
  full_name: Riseth, Jørgen
  last_name: Riseth
- first_name: Alexander
  full_name: Schmeding, Alexander
  last_name: Schmeding
citation:
  ama: Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism
    groups for optimal shape reparametrization. <i>BIT Numerical Mathematics</i>.
    2023;63. doi:<a href="https://doi.org/10.1007/s10543-023-00989-05">10.1007/s10543-023-00989-05</a>
  apa: Celledoni, E., Glöckner, H., Riseth, J., &#38; Schmeding, A. (2023). Deep neural
    networks on diffeomorphism groups for optimal shape reparametrization. <i>BIT
    Numerical Mathematics</i>, <i>63</i>, Article 50. <a href="https://doi.org/10.1007/s10543-023-00989-05">https://doi.org/10.1007/s10543-023-00989-05</a>
  bibtex: '@article{Celledoni_Glöckner_Riseth_Schmeding_2023, title={Deep neural networks
    on diffeomorphism groups for optimal shape reparametrization}, volume={63}, DOI={<a
    href="https://doi.org/10.1007/s10543-023-00989-05">10.1007/s10543-023-00989-05</a>},
    number={50}, journal={BIT Numerical Mathematics}, publisher={Springer}, author={Celledoni,
    Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}, year={2023}
    }'
  chicago: Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding.
    “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.”
    <i>BIT Numerical Mathematics</i> 63 (2023). <a href="https://doi.org/10.1007/s10543-023-00989-05">https://doi.org/10.1007/s10543-023-00989-05</a>.
  ieee: 'E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks
    on diffeomorphism groups for optimal shape reparametrization,” <i>BIT Numerical
    Mathematics</i>, vol. 63, Art. no. 50, 2023, doi: <a href="https://doi.org/10.1007/s10543-023-00989-05">10.1007/s10543-023-00989-05</a>.'
  mla: Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for
    Optimal Shape Reparametrization.” <i>BIT Numerical Mathematics</i>, vol. 63, 50,
    Springer, 2023, doi:<a href="https://doi.org/10.1007/s10543-023-00989-05">10.1007/s10543-023-00989-05</a>.
  short: E. Celledoni, H. Glöckner, J. Riseth, A. Schmeding, BIT Numerical Mathematics
    63 (2023).
date_created: 2022-12-22T07:37:20Z
date_updated: 2024-08-09T08:48:06Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s10543-023-00989-05
external_id:
  arxiv:
  - '2207.11141'
intvolume: '        63'
language:
- iso: eng
publication: BIT Numerical Mathematics
publisher: Springer
quality_controlled: '1'
status: public
title: Deep neural networks on diffeomorphism groups for optimal shape reparametrization
type: journal_article
user_id: '178'
volume: 63
year: '2023'
...
---
_id: '34805'
abstract:
- lang: eng
  text: "Let $E$ be a finite-dimensional real vector space and $M\\subseteq E$ be
    a\r\nconvex polytope with non-empty interior. We turn the group of all\r\n$C^\\infty$-diffeomorphisms
    of $M$ into a regular Lie group."
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Diffeomorphism groups of convex polytopes. <i>Journal of Convex
    Analysis</i>. 2023;30(1):343-358.
  apa: Glöckner, H. (2023). Diffeomorphism groups of convex polytopes. <i>Journal
    of Convex Analysis</i>, <i>30</i>(1), 343–358.
  bibtex: '@article{Glöckner_2023, title={Diffeomorphism groups of convex polytopes},
    volume={30}, number={1}, journal={Journal of Convex Analysis}, publisher={Heldermann},
    author={Glöckner, Helge}, year={2023}, pages={343–358} }'
  chicago: 'Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal
    of Convex Analysis</i> 30, no. 1 (2023): 343–58.'
  ieee: H. Glöckner, “Diffeomorphism groups of convex polytopes,” <i>Journal of Convex
    Analysis</i>, vol. 30, no. 1, pp. 343–358, 2023.
  mla: Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal of
    Convex Analysis</i>, vol. 30, no. 1, Heldermann, 2023, pp. 343–58.
  short: H. Glöckner, Journal of Convex Analysis 30 (2023) 343–358.
date_created: 2022-12-22T07:45:13Z
date_updated: 2024-08-09T08:49:17Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - '2203.09285'
intvolume: '        30'
issue: '1'
language:
- iso: eng
page: 343-358
publication: Journal of Convex Analysis
publisher: Heldermann
quality_controlled: '1'
status: public
title: Diffeomorphism groups of convex polytopes
type: journal_article
user_id: '178'
volume: 30
year: '2023'
...
---
_id: '34801'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Luis
  full_name: Tárrega, Luis
  last_name: Tárrega
citation:
  ama: Glöckner H, Tárrega L. Mapping groups associated with real-valued function
    spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>.
    2023;33(1):271-296.
  apa: Glöckner, H., &#38; Tárrega, L. (2023). Mapping groups associated with real-valued
    function spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>,
    <i>33</i>(1), 271–296.
  bibtex: '@article{Glöckner_Tárrega_2023, title={Mapping groups associated with real-valued
    function spaces and direct limits of Sobolev-Lie groups }, volume={33}, number={1},
    journal={Journal of Lie Theory}, publisher={Heldermann}, author={Glöckner, Helge
    and Tárrega, Luis}, year={2023}, pages={271–296} }'
  chicago: 'Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued
    Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i>
    33, no. 1 (2023): 271–96.'
  ieee: H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function
    spaces and direct limits of Sobolev-Lie groups ,” <i>Journal of Lie Theory</i>,
    vol. 33, no. 1, pp. 271–296, 2023.
  mla: Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued
    Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i>,
    vol. 33, no. 1, Heldermann, 2023, pp. 271–96.
  short: H. Glöckner, L. Tárrega, Journal of Lie Theory 33 (2023) 271–296.
date_created: 2022-12-22T07:23:57Z
date_updated: 2024-08-09T08:48:51Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - '2210.01246'
intvolume: '        33'
issue: '1'
language:
- iso: eng
page: 271-296
publication: Journal of Lie Theory
publisher: Heldermann
quality_controlled: '1'
status: public
title: 'Mapping groups associated with real-valued function spaces and direct limits
  of Sobolev-Lie groups '
type: journal_article
user_id: '178'
volume: 33
year: '2023'
...
---
_id: '55575'
author:
- first_name: Johanna
  full_name: Jakob, Johanna
  last_name: Jakob
citation:
  ama: Jakob J. Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen. Published
    online 2023.
  apa: Jakob, J. (2023). <i>Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen</i>.
  bibtex: '@article{Jakob_2023, title={Der Whitneysche Fortsetzungssatz für vektorwertige
    Funktionen}, author={Jakob, Johanna}, year={2023} }'
  chicago: Jakob, Johanna. “Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen,”
    2023.
  ieee: J. Jakob, “Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen.”
    2023.
  mla: Jakob, Johanna. <i>Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen</i>.
    2023.
  short: J. Jakob, (2023).
date_created: 2024-08-09T09:15:06Z
date_updated: 2024-08-09T09:27:43Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - '2307.03473'
language:
- iso: eng
status: public
title: Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen
type: preprint
user_id: '178'
year: '2023'
...
---
_id: '42163'
abstract:
- lang: eng
  text: 'The article shows how to learn models of dynamical systems from data which
    are governed by an unknown variational PDE. Rather than employing reduction techniques,
    we learn a discrete field theory governed by a discrete Lagrangian density $L_d$
    that is modelled as a neural network. Careful regularisation of the loss function
    for training $L_d$ is necessary to obtain a field theory that is suitable for
    numerical computations: we derive a regularisation term which optimises the solvability
    of the discrete Euler--Lagrange equations. Secondly, we develop a method to find
    solutions to machine learned discrete field theories which constitute travelling
    waves of the underlying continuous PDE.'
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 discrete Lagrangians for variational PDEs
    from data and detection of travelling waves. In: Nielsen F, Barbaresco F, eds.
    <i>Geometric Science of Information</i>. Vol 14071. Lecture Notes in Computer
    Science (LNCS). Springer, Cham.; 2023:569-579. doi:<a href="https://doi.org/10.1007/978-3-031-38271-0_57">10.1007/978-3-031-38271-0_57</a>'
  apa: Offen, C., &#38; Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for
    variational PDEs from data and detection of travelling waves. In F. Nielsen &#38;
    F. Barbaresco (Eds.), <i>Geometric Science of Information</i> (Vol. 14071, pp.
    569–579). Springer, Cham. <a href="https://doi.org/10.1007/978-3-031-38271-0_57">https://doi.org/10.1007/978-3-031-38271-0_57</a>
  bibtex: '@inproceedings{Offen_Ober-Blöbaum_2023, series={Lecture Notes in Computer
    Science (LNCS)}, title={Learning discrete Lagrangians for variational PDEs from
    data and detection of travelling waves}, volume={14071}, DOI={<a href="https://doi.org/10.1007/978-3-031-38271-0_57">10.1007/978-3-031-38271-0_57</a>},
    booktitle={Geometric Science of Information}, publisher={Springer, Cham.}, author={Offen,
    Christian and Ober-Blöbaum, Sina}, editor={Nielsen, F and Barbaresco, F}, year={2023},
    pages={569–579}, collection={Lecture Notes in Computer Science (LNCS)} }'
  chicago: Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians
    for Variational PDEs from Data and Detection of Travelling Waves.” In <i>Geometric
    Science of Information</i>, edited by F Nielsen and F Barbaresco, 14071:569–79.
    Lecture Notes in Computer Science (LNCS). Springer, Cham., 2023. <a href="https://doi.org/10.1007/978-3-031-38271-0_57">https://doi.org/10.1007/978-3-031-38271-0_57</a>.
  ieee: 'C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational
    PDEs from data and detection of travelling waves,” in <i>Geometric Science of
    Information</i>, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071,
    pp. 569–579, doi: <a href="https://doi.org/10.1007/978-3-031-38271-0_57">10.1007/978-3-031-38271-0_57</a>.'
  mla: Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for
    Variational PDEs from Data and Detection of Travelling Waves.” <i>Geometric Science
    of Information</i>, edited by F Nielsen and F Barbaresco, vol. 14071, Springer,
    Cham., 2023, pp. 569–79, doi:<a href="https://doi.org/10.1007/978-3-031-38271-0_57">10.1007/978-3-031-38271-0_57</a>.
  short: 'C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric
    Science of Information, Springer, Cham., 2023, pp. 569–579.'
conference:
  end_date: 2023-09-01
  location: Saint-Malo, Palais du Grand Large, France
  name: '  GSI''23 6th International Conference on Geometric Science of Information'
  start_date: 2023-08-30
date_created: 2023-02-16T11:32:48Z
date_updated: 2024-08-12T13:46:29Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1007/978-3-031-38271-0_57
editor:
- first_name: F
  full_name: Nielsen, F
  last_name: Nielsen
- first_name: F
  full_name: Barbaresco, F
  last_name: Barbaresco
external_id:
  arxiv:
  - '2302.08232 '
file:
- access_level: open_access
  content_type: application/pdf
  creator: coffen
  date_created: 2023-08-02T12:04:17Z
  date_updated: 2023-08-02T12:04:17Z
  description: |-
    The article shows how to learn models of dynamical systems
    from data which are governed by an unknown variational PDE. Rather
    than employing reduction techniques, we learn a discrete field theory
    governed by a discrete Lagrangian density Ld that is modelled as a neural network. Careful regularisation of the loss function for training Ld is
    necessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of
    the discrete Euler–Lagrange equations. Secondly, we develop a method to
    find solutions to machine learned discrete field theories which constitute
    travelling waves of the underlying continuous PDE.
  file_id: '46273'
  file_name: LDensityLearning.pdf
  file_size: 1938962
  relation: main_file
  title: Learning discrete Lagrangians for variational PDEs from data and detection
    of travelling waves
file_date_updated: 2023-08-02T12:04:17Z
has_accepted_license: '1'
intvolume: '     14071'
keyword:
- System identification
- discrete Lagrangians
- travelling waves
language:
- iso: eng
oa: '1'
page: 569-579
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Geometric Science of Information
publication_identifier:
  eisbn:
  - 978-3-031-38271-0
publication_status: published
publisher: Springer, Cham.
quality_controlled: '1'
related_material:
  link:
  - description: GitHub
    relation: software
    url: https://github.com/Christian-Offen/LagrangianDensityML
series_title: Lecture Notes in Computer Science (LNCS)
status: public
title: Learning discrete Lagrangians for variational PDEs from data and detection
  of travelling waves
type: conference
user_id: '85279'
volume: 14071
year: '2023'
...
---
_id: '37469'
citation:
  ama: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. <i>Practice-Oriented
    Research in Tertiary Mathematics Education</i>. Springer International Publishing;
    2023. doi:<a href="https://doi.org/10.1007/978-3-031-14175-1">10.1007/978-3-031-14175-1</a>
  apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., &#38; Winsløw, C.
    (Eds.). (2023). <i>Practice-Oriented Research in Tertiary Mathematics Education</i>.
    Springer International Publishing. <a href="https://doi.org/10.1007/978-3-031-14175-1">https://doi.org/10.1007/978-3-031-14175-1</a>
  bibtex: '@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham},
    title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={<a
    href="https://doi.org/10.1007/978-3-031-14175-1">10.1007/978-3-031-14175-1</a>},
    publisher={Springer International Publishing}, year={2023} }'
  chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen,
    and Carl Winsløw, eds. <i>Practice-Oriented Research in Tertiary Mathematics Education</i>.
    Cham: Springer International Publishing, 2023. <a href="https://doi.org/10.1007/978-3-031-14175-1">https://doi.org/10.1007/978-3-031-14175-1</a>.'
  ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds.,
    <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Cham: Springer
    International Publishing, 2023.'
  mla: Biehler, Rolf, et al., editors. <i>Practice-Oriented Research in Tertiary Mathematics
    Education</i>. Springer International Publishing, 2023, doi:<a href="https://doi.org/10.1007/978-3-031-14175-1">10.1007/978-3-031-14175-1</a>.
  short: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds.,
    Practice-Oriented Research in Tertiary Mathematics Education, Springer International
    Publishing, Cham, 2023.
date_created: 2023-01-18T22:17:58Z
date_updated: 2023-01-18T22:47:41Z
department:
- _id: '10'
doi: 10.1007/978-3-031-14175-1
editor:
- first_name: Rolf
  full_name: Biehler, Rolf
  last_name: Biehler
- first_name: Michael
  full_name: Liebendörfer, Michael
  last_name: Liebendörfer
- first_name: Ghislaine
  full_name: Gueudet, Ghislaine
  last_name: Gueudet
- first_name: Chris
  full_name: Rasmussen, Chris
  last_name: Rasmussen
- first_name: Carl
  full_name: Winsløw, Carl
  last_name: Winsløw
place: Cham
publication_identifier:
  isbn:
  - '9783031141744'
  - '9783031141751'
  issn:
  - 1869-4918
  - 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Practice-Oriented Research in Tertiary Mathematics Education
type: book_editor
user_id: '30933'
year: '2023'
...