---
_id: '60495'
author:
- first_name: Susanne
  full_name: Podworny, Susanne
  id: '30619'
  last_name: Podworny
  orcid: 0000-0002-6313-5987
- first_name: Yannik
  full_name: Fleischer, Yannik
  id: '42660'
  last_name: Fleischer
  orcid: https://orcid.org/0000-0003-0318-0329
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: Podworny S, Fleischer Y, Biehler R. Explorative Datenanalyse in der Schule
    – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten. <i>Stochastik
    in der Schule</i>. 2025;45(2):9-16.
  apa: Podworny, S., Fleischer, Y., &#38; Biehler, R. (2025). Explorative Datenanalyse
    in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.
    <i>Stochastik in der Schule</i>, <i>45</i>(2), 9–16.
  bibtex: '@article{Podworny_Fleischer_Biehler_2025, title={Explorative Datenanalyse
    in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten},
    volume={45}, number={2}, journal={Stochastik in der Schule}, author={Podworny,
    Susanne and Fleischer, Yannik and Biehler, Rolf}, year={2025}, pages={9–16} }'
  chicago: 'Podworny, Susanne, Yannik Fleischer, and Rolf Biehler. “Explorative Datenanalyse
    in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.”
    <i>Stochastik in der Schule</i> 45, no. 2 (2025): 9–16.'
  ieee: S. Podworny, Y. Fleischer, and R. Biehler, “Explorative Datenanalyse in der
    Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten,” <i>Stochastik
    in der Schule</i>, vol. 45, no. 2, pp. 9–16, 2025.
  mla: Podworny, Susanne, et al. “Explorative Datenanalyse in der Schule – Analyse
    der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.” <i>Stochastik in der
    Schule</i>, vol. 45, no. 2, 2025, pp. 9–16.
  short: S. Podworny, Y. Fleischer, R. Biehler, Stochastik in der Schule 45 (2025)
    9–16.
date_created: 2025-07-02T09:45:14Z
date_updated: 2025-07-02T09:45:22Z
department:
- _id: '363'
intvolume: '        45'
issue: '2'
language:
- iso: ger
page: 9-16
publication: Stochastik in der Schule
publication_status: published
status: public
title: Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen
  mit den YOU‑PB Daten
type: journal_article
user_id: '37888'
volume: 45
year: '2025'
...
---
_id: '60532'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Carsten
  full_name: Schulte, Carsten
  id: '60311'
  last_name: Schulte
citation:
  ama: 'Biehler R, Schulte C. Lessons Learned from the ProDaBi Project: Shaping Perspectives
    at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science
    Literacy in Schools Across Disciplines. In: <i>Proceedings of the 1st Symposium
    on Integrating AI and Data Science into School Education Across Disciplines (AIDEA
    1 2025), Salzburg, Austria</i>. ; 2025.'
  apa: 'Biehler, R., &#38; Schulte, C. (2025). Lessons Learned from the ProDaBi Project:
    Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering
    AI and Data Science Literacy in Schools Across Disciplines. In <i>Proceedings
    of the 1st Symposium on Integrating AI and Data Science into School Education
    Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>.'
  bibtex: '@inbook{Biehler_Schulte_2025, title={Lessons Learned from the ProDaBi Project:
    Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering
    AI and Data Science Literacy in Schools Across Disciplines.}, booktitle={Proceedings
    of the 1st Symposium on Integrating AI and Data Science into School Education
    Across Disciplines (AIDEA 1 2025), Salzburg, Austria}, author={Biehler, Rolf and
    Schulte, Carsten}, year={2025} }'
  chicago: 'Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi
    Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards
    Fostering AI and Data Science Literacy in Schools Across Disciplines.” In <i>Proceedings
    of the 1st Symposium on Integrating AI and Data Science into School Education
    Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>, 2025.'
  ieee: 'R. Biehler and C. Schulte, “Lessons Learned from the ProDaBi Project: Shaping
    Perspectives at the Intersection of Data, AI, and Education Towards Fostering
    AI and Data Science Literacy in Schools Across Disciplines.,” in <i>Proceedings
    of the 1st Symposium on Integrating AI and Data Science into School Education
    Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>, 2025.'
  mla: 'Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi Project:
    Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering
    AI and Data Science Literacy in Schools Across Disciplines.” <i>Proceedings of
    the 1st Symposium on Integrating AI and Data Science into School Education Across
    Disciplines (AIDEA 1 2025), Salzburg, Austria</i>, 2025.'
  short: 'R. Biehler, C. Schulte, in: Proceedings of the 1st Symposium on Integrating
    AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg,
    Austria, 2025.'
date_created: 2025-07-07T07:24:30Z
date_updated: 2025-07-07T07:24:35Z
department:
- _id: '363'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://openreview.net/forum?id=TGsuaghKD3
oa: '1'
publication: Proceedings of the 1st Symposium on Integrating AI and Data Science into
  School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria
status: public
title: 'Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection
  of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools
  Across Disciplines.'
type: book_chapter
user_id: '37888'
year: '2025'
...
---
_id: '60860'
author:
- first_name: Franz Yannik
  full_name: Fleischer, Franz Yannik
  id: '42660'
  last_name: Fleischer
  orcid: https://orcid.org/0000-0003-0318-0329
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Fleischer FY, Biehler R. ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING
    DECISION TREES IN THE CLASSROOM. In: Cornejo C, Felmer P, Gomez DM, et al., eds.
    <i>Proceedings of the 48th Conference of the International Group for the Psychology
    of Mathematics Education: Research Reports, Vol. 1 </i>. ; 2025:267-274.'
  apa: 'Fleischer, F. Y., &#38; Biehler, R. (2025). ANALYZING STUDENTS’INFORMAL APPROACHES
    TO CREATING DECISION TREES IN THE CLASSROOM. In C. Cornejo, P. Felmer, D. M. Gomez,
    P. Dartnell, P. Araya, A. Peri, &#38; V. Randolph (Eds.), <i>Proceedings of the
    48th Conference of the International Group for the Psychology of Mathematics Education:
    Research Reports, Vol. 1 </i> (pp. 267–274).'
  bibtex: '@inproceedings{Fleischer_Biehler_2025, title={ANALYZING STUDENTS’INFORMAL
    APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM}, booktitle={Proceedings
    of the 48th Conference of the International Group for the Psychology of Mathematics
    Education: Research Reports, Vol. 1 }, author={Fleischer, Franz Yannik and Biehler,
    Rolf}, editor={Cornejo, C. and Felmer, P. and Gomez, D.M. and Dartnell, P. and
    Araya, P. and Peri, A. and Randolph, V.}, year={2025}, pages={267–274} }'
  chicago: 'Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL
    APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM.” In <i>Proceedings of
    the 48th Conference of the International Group for the Psychology of Mathematics
    Education: Research Reports, Vol. 1 </i>, edited by C. Cornejo, P. Felmer, D.M.
    Gomez, P. Dartnell, P. Araya, A. Peri, and V. Randolph, 267–74, 2025.'
  ieee: 'F. Y. Fleischer and R. Biehler, “ANALYZING STUDENTS’INFORMAL APPROACHES TO
    CREATING DECISION TREES IN THE CLASSROOM,” in <i>Proceedings of the 48th Conference
    of the International Group for the Psychology of Mathematics Education: Research
    Reports, Vol. 1 </i>, 2025, pp. 267–274.'
  mla: 'Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL APPROACHES
    TO CREATING DECISION TREES IN THE CLASSROOM.” <i>Proceedings of the 48th Conference
    of the International Group for the Psychology of Mathematics Education: Research
    Reports, Vol. 1 </i>, edited by C. Cornejo et al., 2025, pp. 267–74.'
  short: 'F.Y. Fleischer, R. Biehler, in: C. Cornejo, P. Felmer, D.M. Gomez, P. Dartnell,
    P. Araya, A. Peri, V. Randolph (Eds.), Proceedings of the 48th Conference of the
    International Group for the Psychology of Mathematics Education: Research Reports,
    Vol. 1 , 2025, pp. 267–274.'
date_created: 2025-08-04T07:15:39Z
date_updated: 2025-08-04T07:17:59Z
department:
- _id: '363'
editor:
- first_name: C.
  full_name: Cornejo, C.
  last_name: Cornejo
- first_name: P.
  full_name: Felmer, P.
  last_name: Felmer
- first_name: D.M.
  full_name: Gomez, D.M.
  last_name: Gomez
- first_name: P.
  full_name: Dartnell, P.
  last_name: Dartnell
- first_name: P.
  full_name: Araya, P.
  last_name: Araya
- first_name: A.
  full_name: Peri, A.
  last_name: Peri
- first_name: V.
  full_name: Randolph, V.
  last_name: Randolph
language:
- iso: eng
page: 267-274
publication: 'Proceedings of the 48th Conference of the International Group for the
  Psychology of Mathematics Education: Research Reports, Vol. 1 '
status: public
title: ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM
type: conference
user_id: '37888'
year: '2025'
...
---
_id: '61125'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Michael
  full_name: Liebendörfer, Michael
  last_name: Liebendörfer
- first_name: Angela
  full_name: Schmitz, Angela
  last_name: Schmitz
- first_name: Birte
  full_name: Reich, Birte
  last_name: Reich
citation:
  ama: Biehler R, Liebendörfer M, Schmitz A, Reich B. studiVEMINT Mathematik-Online-Vorkurs
    jetzt mit 300 integrierten Lernvideos frei verfügbar. <i>Mitteilungen der Deutschen
    Mathematiker-Vereinigung</i>. 2025;33(3):170–171.
  apa: Biehler, R., Liebendörfer, M., Schmitz, A., &#38; Reich, B. (2025). studiVEMINT
    Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar.
    <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>, <i>33</i>(3), 170–171.
  bibtex: '@article{Biehler_Liebendörfer_Schmitz_Reich_2025, title={studiVEMINT Mathematik-Online-Vorkurs
    jetzt mit 300 integrierten Lernvideos frei verfügbar}, volume={33}, number={3},
    journal={Mitteilungen der Deutschen Mathematiker-Vereinigung}, publisher={De Gruyter},
    author={Biehler, Rolf and Liebendörfer, Michael and Schmitz, Angela and Reich,
    Birte}, year={2025}, pages={170–171} }'
  chicago: 'Biehler, Rolf, Michael Liebendörfer, Angela Schmitz, and Birte Reich.
    “studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei
    verfügbar.” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i> 33, no.
    3 (2025): 170–171.'
  ieee: R. Biehler, M. Liebendörfer, A. Schmitz, and B. Reich, “studiVEMINT Mathematik-Online-Vorkurs
    jetzt mit 300 integrierten Lernvideos frei verfügbar,” <i>Mitteilungen der Deutschen
    Mathematiker-Vereinigung</i>, vol. 33, no. 3, pp. 170–171, 2025.
  mla: Biehler, Rolf, et al. “studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300
    integrierten Lernvideos frei verfügbar.” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>,
    vol. 33, no. 3, De Gruyter, 2025, pp. 170–171.
  short: R. Biehler, M. Liebendörfer, A. Schmitz, B. Reich, Mitteilungen der Deutschen
    Mathematiker-Vereinigung 33 (2025) 170–171.
date_created: 2025-09-04T09:23:47Z
date_updated: 2025-09-04T09:25:03Z
department:
- _id: '363'
intvolume: '        33'
issue: '3'
language:
- iso: ger
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1515/dmvm-2025-0053
oa: '1'
page: 170–171
publication: Mitteilungen der Deutschen Mathematiker-Vereinigung
publication_status: published
publisher: De Gruyter
status: public
title: studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos
  frei verfügbar
type: journal_article
user_id: '37888'
volume: 33
year: '2025'
...
---
_id: '63556'
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
- first_name: Susanne
  full_name: Podworny, Susanne
  last_name: Podworny
citation:
  ama: 'Biehler R, Engel J, Frischemeier D, Podworny S. Civic Statistical Literacy:
    Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels. <i>mathematica
    didactica</i>. 2025;48(2). doi:<a href="https://doi.org/10.18716/ojs/md/2025.2297">10.18716/ojs/md/2025.2297</a>'
  apa: 'Biehler, R., Engel, J., Frischemeier, D., &#38; Podworny, S. (2025). Civic
    Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels.
    <i>mathematica didactica</i>, <i>48</i>(2). <a href="https://doi.org/10.18716/ojs/md/2025.2297">https://doi.org/10.18716/ojs/md/2025.2297</a>'
  bibtex: '@article{Biehler_Engel_Frischemeier_Podworny_2025, title={Civic Statistical
    Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels}, volume={48},
    DOI={<a href="https://doi.org/10.18716/ojs/md/2025.2297">10.18716/ojs/md/2025.2297</a>},
    number={2}, journal={mathematica didactica}, author={Biehler, Rolf and Engel,
    Joachim and Frischemeier, Daniel and Podworny, Susanne}, year={2025} }'
  chicago: 'Biehler, Rolf, Joachim Engel, Daniel Frischemeier, and Susanne Podworny.
    “Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des
    Klimawandels.” <i>mathematica didactica</i> 48, no. 2 (2025). <a href="https://doi.org/10.18716/ojs/md/2025.2297">https://doi.org/10.18716/ojs/md/2025.2297</a>.'
  ieee: 'R. Biehler, J. Engel, D. Frischemeier, and S. Podworny, “Civic Statistical
    Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels,” <i>mathematica
    didactica</i>, vol. 48, no. 2, 2025, doi: <a href="https://doi.org/10.18716/ojs/md/2025.2297">10.18716/ojs/md/2025.2297</a>.'
  mla: 'Biehler, Rolf, et al. “Civic Statistical Literacy: Konzept und praxisnahe
    Umsetzung am Beispiel des Klimawandels.” <i>mathematica didactica</i>, vol. 48,
    no. 2, 2025, doi:<a href="https://doi.org/10.18716/ojs/md/2025.2297">10.18716/ojs/md/2025.2297</a>.'
  short: R. Biehler, J. Engel, D. Frischemeier, S. Podworny, mathematica didactica
    48 (2025).
date_created: 2026-01-12T11:23:57Z
date_updated: 2026-01-12T11:26:40Z
department:
- _id: '363'
doi: 10.18716/ojs/md/2025.2297
intvolume: '        48'
issue: '2'
language:
- iso: ger
main_file_link:
- open_access: '1'
  url: https://journals.ub.uni-koeln.de/index.php/mathematica_didactica/article/view/2297
oa: '1'
publication: mathematica didactica
status: public
title: 'Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des
  Klimawandels'
type: journal_article
user_id: '37888'
volume: 48
year: '2025'
...
---
_id: '54144'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>In 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.</jats:p>"
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. <i>ZDM – Mathematics Education</i>. Published online 2024. doi:<a href="https://doi.org/10.1007/s11858-024-01584-w">10.1007/s11858-024-01584-w</a>'
  apa: 'Lankeit, E., &#38; 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. <i>ZDM – Mathematics Education</i>. <a href="https://doi.org/10.1007/s11858-024-01584-w">https://doi.org/10.1007/s11858-024-01584-w</a>'
  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={<a href="https://doi.org/10.1007/s11858-024-01584-w">10.1007/s11858-024-01584-w</a>},
    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.” <i>ZDM – Mathematics Education</i>, 2024. <a
    href="https://doi.org/10.1007/s11858-024-01584-w">https://doi.org/10.1007/s11858-024-01584-w</a>.'
  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,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href="https://doi.org/10.1007/s11858-024-01584-w">10.1007/s11858-024-01584-w</a>.'
  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.” <i>ZDM – Mathematics Education</i>, Springer Science
    and Business Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s11858-024-01584-w">10.1007/s11858-024-01584-w</a>.'
  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: '55667'
abstract:
- lang: eng
  text: <jats:p>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.</jats:p>
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. <i>Statistics Education Research Journal</i>. 2024;23(1). doi:<a
    href="https://doi.org/10.52041/serj.v23i1.450">10.52041/serj.v23i1.450</a>
  apa: Fleischer, F. Y., Podworny, S., &#38; 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. <i>Statistics Education Research Journal</i>,
    <i>23</i>(1), Article 3. <a href="https://doi.org/10.52041/serj.v23i1.450">https://doi.org/10.52041/serj.v23i1.450</a>
  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={<a href="https://doi.org/10.52041/serj.v23i1.450">10.52041/serj.v23i1.450</a>},
    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.” <i>Statistics Education Research
    Journal</i> 23, no. 1 (2024). <a href="https://doi.org/10.52041/serj.v23i1.450">https://doi.org/10.52041/serj.v23i1.450</a>.
  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,” <i>Statistics Education Research Journal</i>, vol.
    23, no. 1, Art. no. 3, 2024, doi: <a href="https://doi.org/10.52041/serj.v23i1.450">10.52041/serj.v23i1.450</a>.'
  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.” <i>Statistics Education Research Journal</i>, vol. 23, no.
    1, 3, International Association for Statistical Education, 2024, doi:<a href="https://doi.org/10.52041/serj.v23i1.450">10.52041/serj.v23i1.450</a>.
  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: <i>Inklusives Lehren und Lernen von
    Mathematik</i>. Springer Fachmedien Wiesbaden; 2024. doi:<a href="https://doi.org/10.1007/978-3-658-43964-4_13">10.1007/978-3-658-43964-4_13</a>'
  apa: Biehler, R., &#38; Frischemeier, D. (2024). Eine inklusive Lehr-Lernumgebung
    für die Leitidee „Daten und Zufall“ in der Primarstufe. In <i>Inklusives Lehren
    und Lernen von Mathematik</i>. Springer Fachmedien Wiesbaden. <a href="https://doi.org/10.1007/978-3-658-43964-4_13">https://doi.org/10.1007/978-3-658-43964-4_13</a>
  bibtex: '@inbook{Biehler_Frischemeier_2024, place={Wiesbaden}, title={Eine inklusive
    Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe}, DOI={<a
    href="https://doi.org/10.1007/978-3-658-43964-4_13">10.1007/978-3-658-43964-4_13</a>},
    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 <i>Inklusives Lehren
    und Lernen von Mathematik</i>. Wiesbaden: Springer Fachmedien Wiesbaden, 2024.
    <a href="https://doi.org/10.1007/978-3-658-43964-4_13">https://doi.org/10.1007/978-3-658-43964-4_13</a>.'
  ieee: 'R. Biehler and D. Frischemeier, “Eine inklusive Lehr-Lernumgebung für die
    Leitidee „Daten und Zufall“ in der Primarstufe,” in <i>Inklusives Lehren und Lernen
    von Mathematik</i>, Wiesbaden: Springer Fachmedien Wiesbaden, 2024.'
  mla: Biehler, Rolf, and Daniel Frischemeier. “Eine inklusive Lehr-Lernumgebung für
    die Leitidee „Daten und Zufall“ in der Primarstufe.” <i>Inklusives Lehren und
    Lernen von Mathematik</i>, Springer Fachmedien Wiesbaden, 2024, doi:<a href="https://doi.org/10.1007/978-3-658-43964-4_13">10.1007/978-3-658-43964-4_13</a>.
  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. <i>Daten-Spürnasen Auf Spurensuche: Datenanalyse
    in Der Grundschule Mit Digitalen Werkzeugen</i>. Klett Kallmeyer; 2024.'
  apa: 'Biehler, R., &#38; Frischemeier, D. (2024). <i>Daten-Spürnasen auf Spurensuche:
    Datenanalyse in der Grundschule mit digitalen Werkzeugen</i>. 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. <i>Daten-Spürnasen Auf Spurensuche:
    Datenanalyse in Der Grundschule Mit Digitalen Werkzeugen</i>. Klett Kallmeyer,
    2024.'
  ieee: 'R. Biehler and D. Frischemeier, <i>Daten-Spürnasen auf Spurensuche: Datenanalyse
    in der Grundschule mit digitalen Werkzeugen</i>. Klett Kallmeyer, 2024.'
  mla: 'Biehler, Rolf, and Daniel Frischemeier. <i>Daten-Spürnasen Auf Spurensuche:
    Datenanalyse in Der Grundschule Mit Digitalen Werkzeugen</i>. 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: '56016'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Special 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.</jats:p>
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. <i>ZDM – Mathematics Education</i>. Published online 2024.
    doi:<a href="https://doi.org/10.1007/s11858-024-01633-4">10.1007/s11858-024-01633-4</a>
  apa: Hoffmann, M., &#38; Biehler, R. (2024). Using academic mathematical knowledge
    when working on interface tasks–analyses of pre-service teachers’ arguments about
    rotationally symmetric figures. <i>ZDM – Mathematics Education</i>. <a href="https://doi.org/10.1007/s11858-024-01633-4">https://doi.org/10.1007/s11858-024-01633-4</a>
  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={<a href="https://doi.org/10.1007/s11858-024-01633-4">10.1007/s11858-024-01633-4</a>},
    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.” <i>ZDM – Mathematics Education</i>, 2024. <a
    href="https://doi.org/10.1007/s11858-024-01633-4">https://doi.org/10.1007/s11858-024-01633-4</a>.
  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,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href="https://doi.org/10.1007/s11858-024-01633-4">10.1007/s11858-024-01633-4</a>.'
  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.” <i>ZDM – Mathematics Education</i>, Springer Science and Business
    Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s11858-024-01633-4">10.1007/s11858-024-01633-4</a>.
  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: '56197'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Special 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.</jats:p>
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. <i>ZDM – Mathematics Education</i>. Published online 2024.
    doi:<a href="https://doi.org/10.1007/s11858-024-01633-4">10.1007/s11858-024-01633-4</a>
  apa: Hoffmann, M., &#38; Biehler, R. (2024). Using academic mathematical knowledge
    when working on interface tasks–analyses of pre-service teachers’ arguments about
    rotationally symmetric figures. <i>ZDM – Mathematics Education</i>. <a href="https://doi.org/10.1007/s11858-024-01633-4">https://doi.org/10.1007/s11858-024-01633-4</a>
  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={<a href="https://doi.org/10.1007/s11858-024-01633-4">10.1007/s11858-024-01633-4</a>},
    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.” <i>ZDM – Mathematics Education</i>, 2024. <a
    href="https://doi.org/10.1007/s11858-024-01633-4">https://doi.org/10.1007/s11858-024-01633-4</a>.
  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,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href="https://doi.org/10.1007/s11858-024-01633-4">10.1007/s11858-024-01633-4</a>.'
  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.” <i>ZDM – Mathematics Education</i>, Springer Science and Business
    Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s11858-024-01633-4">10.1007/s11858-024-01633-4</a>.
  short: M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2024).
date_created: 2024-09-23T07:36:35Z
date_updated: 2024-09-23T07:44:49Z
department:
- _id: '363'
doi: 10.1007/s11858-024-01633-4
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1007/s11858-024-01633-4
publication: ZDM – Mathematics Education
publication_identifier:
  issn:
  - 1863-9690
  - 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
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: '37888'
year: '2024'
...
---
_id: '56199'
citation:
  ama: Liebendörfer M, Schmitz A, Biehler R, eds. <i>Lernvideos in der Mathematik
    – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität
    Paderborn und der TH Köln</i>.; 2024.
  apa: Liebendörfer, M., Schmitz, A., &#38; Biehler, R. (Eds.). (2024). <i>Lernvideos
    in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos
    der Universität Paderborn und der TH Köln</i>.
  bibtex: '@book{Liebendörfer_Schmitz_Biehler_2024, title={Lernvideos in der Mathematik
    – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität
    Paderborn und der TH Köln}, year={2024} }'
  chicago: Liebendörfer, Michael, Angelika Schmitz, and Rolf Biehler, eds. <i>Lernvideos
    in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos
    der Universität Paderborn und der TH Köln</i>, 2024.
  ieee: M. Liebendörfer, A. Schmitz, and R. Biehler, Eds., <i>Lernvideos in der Mathematik
    – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität
    Paderborn und der TH Köln</i>. 2024.
  mla: Liebendörfer, Michael, et al., editors. <i>Lernvideos in der Mathematik – Beiträge
    zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn
    und der TH Köln</i>. 2024.
  short: M. Liebendörfer, A. Schmitz, R. Biehler, eds., Lernvideos in der Mathematik
    – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität
    Paderborn und der TH Köln, 2024.
date_created: 2024-09-23T07:42:26Z
date_updated: 2024-09-25T08:26:10Z
department:
- _id: '363'
editor:
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Angelika
  full_name: Schmitz, Angelika
  last_name: Schmitz
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
language:
- iso: ger
main_file_link:
- url: https://kobra.uni-kassel.de/handle/123456789/15993
publication_status: published
status: public
title: Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos
  der Universität Paderborn und der TH Köln
type: book_editor
user_id: '37888'
year: '2024'
...
---
_id: '56780'
abstract:
- lang: eng
  text: '<jats:title>Abstract</jats:title><jats:p>Recent research in university mathematics
    education has moved beyond the traditional focus on the transition from secondary
    to tertiary education and students'' understanding of introductory courses such
    as pre-calculus and calculus. There is growing interest in the challenges students
    face as they move into more advanced mathematics courses that require a shift
    toward formal reasoning, proof, modeling, and problem-solving skills. This survey
    paper explores emerging trends and innovations in the field, focusing on three
    key areas: innovations in teaching and learning advanced mathematical topics,
    transitions between different levels and contexts of mathematics education, and
    the role of proof and proving in advanced university mathematics. The survey reflects
    the evolving landscape of mathematics education research and addresses the theoretical
    and practical challenges of teaching and learning advanced mathematics across
    various contexts.</jats:p>'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Viviane
  full_name: Durand-Guerrier, Viviane
  last_name: Durand-Guerrier
- first_name: María
  full_name: Trigueros, María
  last_name: Trigueros
citation:
  ama: Biehler R, Durand-Guerrier V, Trigueros M. New trends in didactic research
    in university mathematics education. <i>ZDM – Mathematics Education</i>. Published
    online 2024. doi:<a href="https://doi.org/10.1007/s11858-024-01643-2">10.1007/s11858-024-01643-2</a>
  apa: Biehler, R., Durand-Guerrier, V., &#38; Trigueros, M. (2024). New trends in
    didactic research in university mathematics education. <i>ZDM – Mathematics Education</i>.
    <a href="https://doi.org/10.1007/s11858-024-01643-2">https://doi.org/10.1007/s11858-024-01643-2</a>
  bibtex: '@article{Biehler_Durand-Guerrier_Trigueros_2024, title={New trends in didactic
    research in university mathematics education}, DOI={<a href="https://doi.org/10.1007/s11858-024-01643-2">10.1007/s11858-024-01643-2</a>},
    journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
    Media LLC}, author={Biehler, Rolf and Durand-Guerrier, Viviane and Trigueros,
    María}, year={2024} }'
  chicago: Biehler, Rolf, Viviane Durand-Guerrier, and María Trigueros. “New Trends
    in Didactic Research in University Mathematics Education.” <i>ZDM – Mathematics
    Education</i>, 2024. <a href="https://doi.org/10.1007/s11858-024-01643-2">https://doi.org/10.1007/s11858-024-01643-2</a>.
  ieee: 'R. Biehler, V. Durand-Guerrier, and M. Trigueros, “New trends in didactic
    research in university mathematics education,” <i>ZDM – Mathematics Education</i>,
    2024, doi: <a href="https://doi.org/10.1007/s11858-024-01643-2">10.1007/s11858-024-01643-2</a>.'
  mla: Biehler, Rolf, et al. “New Trends in Didactic Research in University Mathematics
    Education.” <i>ZDM – Mathematics Education</i>, Springer Science and Business
    Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s11858-024-01643-2">10.1007/s11858-024-01643-2</a>.
  short: R. Biehler, V. Durand-Guerrier, M. Trigueros, ZDM – Mathematics Education
    (2024).
date_created: 2024-10-29T09:22:06Z
date_updated: 2024-10-29T10:56:14Z
department:
- _id: '363'
doi: 10.1007/s11858-024-01643-2
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/article/10.1007/s11858-024-01643-2
publication: ZDM – Mathematics Education
publication_identifier:
  issn:
  - 1863-9690
  - 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: New trends in didactic research in university mathematics education
type: journal_article
user_id: '37888'
year: '2024'
...
---
_id: '59467'
author:
- first_name: Katherine M
  full_name: Miller, Katherine M
  last_name: Miller
- first_name: Joseph L
  full_name: Polman, Joseph L
  last_name: Polman
- first_name: Susan A
  full_name: Yoon, Susan A
  last_name: Yoon
- first_name: Jooeun
  full_name: Shim, Jooeun
  last_name: Shim
- first_name: Vivian Y
  full_name: Leung, Vivian Y
  last_name: Leung
- first_name: Yen
  full_name: Nguyen, Yen
  last_name: Nguyen
- first_name: Andee
  full_name: Rubin, Andee
  last_name: Rubin
- first_name: Traci
  full_name: Higgins, Traci
  last_name: Higgins
- first_name: Jessica M
  full_name: Karch, Jessica M
  last_name: Karch
- first_name: James KL
  full_name: Hammerman, James KL
  last_name: Hammerman
- first_name: Camillia
  full_name: Matuk, Camillia
  last_name: Matuk
- first_name: Kayla
  full_name: DesPortes, Kayla
  last_name: DesPortes
- first_name: Anna
  full_name: Amato, Anna
  last_name: Amato
- first_name: Suzanne
  full_name: Dikker, Suzanne
  last_name: Dikker
- first_name: Xavier
  full_name: Ochoa, Xavier
  last_name: Ochoa
- first_name: Esteban
  full_name: Romero, Esteban
  last_name: Romero
- first_name: Susanne
  full_name: Podworny, Susanne
  id: '30619'
  last_name: Podworny
  orcid: 0000-0002-6313-5987
- first_name: Yannik
  full_name: Fleischer, Yannik
  id: '42660'
  last_name: Fleischer
  orcid: https://orcid.org/0000-0003-0318-0329
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Justice T.
  full_name: Walker, Justice T.
  last_name: Walker
- first_name: Amanda
  full_name: Barany, Amanda
  last_name: Barany
- first_name: Alex
  full_name: Acquah, Alex
  last_name: Acquah
- first_name: Andi
  full_name: Scarola, Andi
  last_name: Scarola
- first_name: Sayed
  full_name: Reza, Sayed
  last_name: Reza
- first_name: Trang C.
  full_name: Tran, Trang C.
  last_name: Tran
- first_name: Ralph
  full_name: Vacca, Ralph
  last_name: Vacca
- first_name: Megan
  full_name: Silander, Megan
  last_name: Silander
- first_name: Peter J.
  full_name: Woods, Peter J.
  last_name: Woods
- first_name: Cassia
  full_name: Fernandez, Cassia
  last_name: Fernandez
- first_name: Adelmo
  full_name: Eloy, Adelmo
  last_name: Eloy
- first_name: Paulo
  full_name: Blikstein, Paulo
  last_name: Blikstein
- first_name: Roseli
  full_name: de Deus Lopes, Roseli
  last_name: de Deus Lopes
- first_name: Josh
  full_name: Radinsky, Josh
  last_name: Radinsky
- first_name: Iris
  full_name: Tabak, Iris
  last_name: Tabak
- first_name: Victor R.
  full_name: Lee, Victor R.
  last_name: Lee
- first_name: Dorottya
  full_name: Demszky, Dorottya
  last_name: Demszky
- first_name: Sarah
  full_name: Levine, Sarah
  last_name: Levine
- first_name: Josephine
  full_name: Louie, Josephine
  last_name: Louie
citation:
  ama: 'Miller KM, Polman JL, Yoon SA, et al. Data and Social Worlds: How Data Science
    Education Supports Civic Participation and Social Discourse. In: Lindgren R, Asino
    TI, Kyza EA, Looi CK, Keifert DT, Suárez E, eds. <i>Proceedings of the 18th International
    Conference of the Learning Sciences-ICLS 2024</i>. International Society of the
    Learning Sciences; 2024:1863-1870.'
  apa: 'Miller, K. M., Polman, J. L., Yoon, S. A., Shim, J., Leung, V. Y., Nguyen,
    Y., Rubin, A., Higgins, T., Karch, J. M., Hammerman, J. K., Matuk, C., DesPortes,
    K., Amato, A., Dikker, S., Ochoa, X., Romero, E., Podworny, S., Fleischer, Y.,
    Biehler, R., … Louie, J. (2024). Data and Social Worlds: How Data Science Education
    Supports Civic Participation and Social Discourse. In R. Lindgren, T. I. Asino,
    E. A. Kyza, C. K. Looi, D. T. Keifert, &#38; E. Suárez (Eds.), <i>Proceedings
    of the 18th International Conference of the Learning Sciences-ICLS 2024</i> (pp.
    1863–1870). International Society of the Learning Sciences.'
  bibtex: '@inproceedings{Miller_Polman_Yoon_Shim_Leung_Nguyen_Rubin_Higgins_Karch_Hammerman_et
    al._2024, title={Data and Social Worlds: How Data Science Education Supports Civic
    Participation and Social Discourse}, booktitle={Proceedings of the 18th International
    Conference of the Learning Sciences-ICLS 2024}, publisher={International Society
    of the Learning Sciences}, author={Miller, Katherine M and Polman, Joseph L and
    Yoon, Susan A and Shim, Jooeun and Leung, Vivian Y and Nguyen, Yen and Rubin,
    Andee and Higgins, Traci and Karch, Jessica M and Hammerman, James KL and et al.},
    editor={Lindgren, R. and Asino, T. I. and Kyza, E. A. and Looi, C. K. and Keifert,
    D. T. and Suárez, E.}, year={2024}, pages={1863–1870} }'
  chicago: 'Miller, Katherine M, Joseph L Polman, Susan A Yoon, Jooeun Shim, Vivian
    Y Leung, Yen Nguyen, Andee Rubin, et al. “Data and Social Worlds: How Data Science
    Education Supports Civic Participation and Social Discourse.” In <i>Proceedings
    of the 18th International Conference of the Learning Sciences-ICLS 2024</i>, edited
    by R. Lindgren, T. I. Asino, E. A. Kyza, C. K. Looi, D. T. Keifert, and E. Suárez,
    1863–70. International Society of the Learning Sciences, 2024.'
  ieee: 'K. M. Miller <i>et al.</i>, “Data and Social Worlds: How Data Science Education
    Supports Civic Participation and Social Discourse,” in <i>Proceedings of the 18th
    International Conference of the Learning Sciences-ICLS 2024</i>, 2024, pp. 1863–1870.'
  mla: 'Miller, Katherine M., et al. “Data and Social Worlds: How Data Science Education
    Supports Civic Participation and Social Discourse.” <i>Proceedings of the 18th
    International Conference of the Learning Sciences-ICLS 2024</i>, edited by R.
    Lindgren et al., International Society of the Learning Sciences, 2024, pp. 1863–70.'
  short: 'K.M. Miller, J.L. Polman, S.A. Yoon, J. Shim, V.Y. Leung, Y. Nguyen, A.
    Rubin, T. Higgins, J.M. Karch, J.K. Hammerman, C. Matuk, K. DesPortes, A. Amato,
    S. Dikker, X. Ochoa, E. Romero, S. Podworny, Y. Fleischer, R. Biehler, J.T. Walker,
    A. Barany, A. Acquah, A. Scarola, S. Reza, T.C. Tran, R. Vacca, M. Silander, P.J.
    Woods, C. Fernandez, A. Eloy, P. Blikstein, R. de Deus Lopes, J. Radinsky, I.
    Tabak, V.R. Lee, D. Demszky, S. Levine, J. Louie, in: R. Lindgren, T.I. Asino,
    E.A. Kyza, C.K. Looi, D.T. Keifert, E. Suárez (Eds.), Proceedings of the 18th
    International Conference of the Learning Sciences-ICLS 2024, International Society
    of the Learning Sciences, 2024, pp. 1863–1870.'
date_created: 2025-04-10T07:38:59Z
date_updated: 2025-04-10T09:12:03Z
ddc:
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department:
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editor:
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  full_name: Lindgren, R.
  last_name: Lindgren
- first_name: T. I.
  full_name: Asino, T. I.
  last_name: Asino
- first_name: E. A.
  full_name: Kyza, E. A.
  last_name: Kyza
- first_name: C. K.
  full_name: Looi, C. K.
  last_name: Looi
- first_name: D. T.
  full_name: Keifert, D. T.
  last_name: Keifert
- first_name: E.
  full_name: Suárez, E.
  last_name: Suárez
file:
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title: 'Data and Social Worlds: How Data Science Education Supports Civic Participation
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...
---
_id: '56198'
author:
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Angelika
  full_name: Schmitz, Angelika
  last_name: Schmitz
citation:
  ama: Liebendörfer M, Biehler R, Schmitz A. <i>Mathematische Lernvideos Zu Studieneinstieg
    Und Studienvorbereitung</i>. Universität Kassel; 2024. doi:<a href="https://doi.org/10.17170/KOBRA-2024081810686-004">10.17170/KOBRA-2024081810686-004</a>
  apa: Liebendörfer, M., Biehler, R., &#38; Schmitz, A. (2024). <i>Mathematische Lernvideos
    zu Studieneinstieg und Studienvorbereitung</i>. Universität Kassel. <a href="https://doi.org/10.17170/KOBRA-2024081810686-004">https://doi.org/10.17170/KOBRA-2024081810686-004</a>
  bibtex: '@book{Liebendörfer_Biehler_Schmitz_2024, title={Mathematische Lernvideos
    zu Studieneinstieg und Studienvorbereitung}, DOI={<a href="https://doi.org/10.17170/KOBRA-2024081810686-004">10.17170/KOBRA-2024081810686-004</a>},
    publisher={Universität Kassel}, author={Liebendörfer, Michael and Biehler, Rolf
    and Schmitz, Angelika}, year={2024} }'
  chicago: Liebendörfer, Michael, Rolf Biehler, and Angelika Schmitz. <i>Mathematische
    Lernvideos Zu Studieneinstieg Und Studienvorbereitung</i>. Universität Kassel,
    2024. <a href="https://doi.org/10.17170/KOBRA-2024081810686-004">https://doi.org/10.17170/KOBRA-2024081810686-004</a>.
  ieee: M. Liebendörfer, R. Biehler, and A. Schmitz, <i>Mathematische Lernvideos zu
    Studieneinstieg und Studienvorbereitung</i>. Universität Kassel, 2024.
  mla: Liebendörfer, Michael, et al. <i>Mathematische Lernvideos Zu Studieneinstieg
    Und Studienvorbereitung</i>. Universität Kassel, 2024, doi:<a href="https://doi.org/10.17170/KOBRA-2024081810686-004">10.17170/KOBRA-2024081810686-004</a>.
  short: M. Liebendörfer, R. Biehler, A. Schmitz, Mathematische Lernvideos Zu Studieneinstieg
    Und Studienvorbereitung, Universität Kassel, 2024.
date_created: 2024-09-23T07:38:29Z
date_updated: 2024-11-26T11:39:10Z
department:
- _id: '363'
doi: 10.17170/KOBRA-2024081810686-004
publisher: Universität Kassel
related_material:
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    url: https://doi.org/10.17170/kobra-2024081810686-004
status: public
title: Mathematische Lernvideos zu Studieneinstieg und Studienvorbereitung
type: research_data
user_id: '37888'
year: '2024'
...
---
_id: '57952'
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. Bedeutungsfacetten der Beziehungen von Differenzierbarkeit
    und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene.
    In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. <i>Beiträge
    zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik
    der Mathematik.</i> WTM-Verlag; 2024:1073-1076. doi:<a href="https://doi.org/10.37626/GA9783959872782.0">10.37626/GA9783959872782.0</a>'
  apa: 'Lankeit, E., &#38; Biehler, R. (2024). Bedeutungsfacetten der Beziehungen
    von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick
    auf die semantische Ebene. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht,
    &#38; P. Scherer (Eds.), <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik.</i> (pp. 1073–1076). WTM-Verlag.
    <a href="https://doi.org/10.37626/GA9783959872782.0">https://doi.org/10.37626/GA9783959872782.0</a>'
  bibtex: '@inbook{Lankeit_Biehler_2024, place={Münster}, title={Bedeutungsfacetten
    der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen:
    Ein Blick auf die semantische Ebene}, DOI={<a href="https://doi.org/10.37626/GA9783959872782.0">10.37626/GA9783959872782.0</a>},
    booktitle={Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik.}, publisher={WTM-Verlag}, author={Lankeit, Elisa
    and Biehler, Rolf}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter,
    A. and Schacht, F. and Scherer, P.}, year={2024}, pages={1073–1076} }'
  chicago: 'Lankeit, Elisa, and Rolf Biehler. “Bedeutungsfacetten der Beziehungen
    von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick
    auf die semantische Ebene.” In <i>Beiträge zum Mathematikunterricht 2024 - 57.
    Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i>, edited by P. Ebers,
    F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 1073–76. Münster:
    WTM-Verlag, 2024. <a href="https://doi.org/10.37626/GA9783959872782.0">https://doi.org/10.37626/GA9783959872782.0</a>.'
  ieee: 'E. Lankeit and R. Biehler, “Bedeutungsfacetten der Beziehungen von Differenzierbarkeit
    und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene,”
    in <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik.</i>, P. Ebers, F. Rösken, B. Barzel, A. Büchter,
    F. Schacht, and P. Scherer, Eds. Münster: WTM-Verlag, 2024, pp. 1073–1076.'
  mla: 'Lankeit, Elisa, and Rolf Biehler. “Bedeutungsfacetten der Beziehungen von
    Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf
    die semantische Ebene.” <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik.</i>, edited by P. Ebers et al.,
    WTM-Verlag, 2024, pp. 1073–76, doi:<a href="https://doi.org/10.37626/GA9783959872782.0">10.37626/GA9783959872782.0</a>.'
  short: 'E. Lankeit, R. Biehler, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter,
    F. Schacht, P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik., WTM-Verlag, Münster, 2024, pp.
    1073–1076.'
date_created: 2025-01-06T11:19:48Z
date_updated: 2025-01-06T11:19:55Z
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  full_name: Ebers, P.
  last_name: Ebers
- first_name: F.
  full_name: Rösken, F.
  last_name: Rösken
- first_name: B.
  full_name: Barzel, B.
  last_name: Barzel
- first_name: A.
  full_name: Büchter, A.
  last_name: Büchter
- first_name: F.
  full_name: Schacht, F.
  last_name: Schacht
- first_name: P.
  full_name: Scherer, P.
  last_name: Scherer
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publisher: WTM-Verlag
status: public
title: 'Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit
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type: book_chapter
user_id: '37888'
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...
---
_id: '57950'
author:
- first_name: Yannik
  full_name: Fleischer, Yannik
  id: '42660'
  last_name: Fleischer
  orcid: https://orcid.org/0000-0003-0318-0329
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Fleischer Y, Biehler R. Intuitiver Zugang zu datenbasierten Entscheidungsbäumen.
    In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. <i>Beiträge
    zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik
    der Mathematik.</i> WTM-Verlag; 2024:167-170. doi:<a href="https://doi.org/10.37626/GA9783959872782.0">10.37626/GA9783959872782.0</a>'
  apa: Fleischer, Y., &#38; Biehler, R. (2024). Intuitiver Zugang zu datenbasierten
    Entscheidungsbäumen. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht,
    &#38; P. Scherer (Eds.), <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik.</i> (pp. 167–170). WTM-Verlag. <a
    href="https://doi.org/10.37626/GA9783959872782.0">https://doi.org/10.37626/GA9783959872782.0</a>
  bibtex: '@inbook{Fleischer_Biehler_2024, place={Münster}, title={Intuitiver Zugang
    zu datenbasierten Entscheidungsbäumen}, DOI={<a href="https://doi.org/10.37626/GA9783959872782.0">10.37626/GA9783959872782.0</a>},
    booktitle={Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik.}, publisher={WTM-Verlag}, author={Fleischer, Yannik
    and Biehler, Rolf}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter,
    A. and Schacht, F. and Scherer, P.}, year={2024}, pages={167–170} }'
  chicago: 'Fleischer, Yannik, and Rolf Biehler. “Intuitiver Zugang zu datenbasierten
    Entscheidungsbäumen.” In <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik.</i>, edited by P. Ebers, F. Rösken,
    B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 167–70. Münster: WTM-Verlag,
    2024. <a href="https://doi.org/10.37626/GA9783959872782.0">https://doi.org/10.37626/GA9783959872782.0</a>.'
  ieee: 'Y. Fleischer and R. Biehler, “Intuitiver Zugang zu datenbasierten Entscheidungsbäumen,”
    in <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik.</i>, P. Ebers, F. Rösken, B. Barzel, A. Büchter,
    F. Schacht, and P. Scherer, Eds. Münster: WTM-Verlag, 2024, pp. 167–170.'
  mla: Fleischer, Yannik, and Rolf Biehler. “Intuitiver Zugang zu datenbasierten Entscheidungsbäumen.”
    <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik.</i>, edited by P. Ebers et al., WTM-Verlag, 2024,
    pp. 167–70, doi:<a href="https://doi.org/10.37626/GA9783959872782.0">10.37626/GA9783959872782.0</a>.
  short: 'Y. Fleischer, R. Biehler, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter,
    F. Schacht, P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik., WTM-Verlag, Münster, 2024, pp.
    167–170.'
date_created: 2025-01-06T11:14:58Z
date_updated: 2025-01-06T11:15:07Z
ddc:
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department:
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doi: 10.37626/GA9783959872782.0
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  full_name: Ebers, P.
  last_name: Ebers
- first_name: F.
  full_name: Rösken, F.
  last_name: Rösken
- first_name: B.
  full_name: Barzel, B.
  last_name: Barzel
- first_name: A.
  full_name: Büchter, A.
  last_name: Büchter
- first_name: F.
  full_name: Schacht, F.
  last_name: Schacht
- first_name: P.
  full_name: Scherer, P.
  last_name: Scherer
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publisher: WTM-Verlag
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title: Intuitiver Zugang zu datenbasierten Entscheidungsbäumen
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user_id: '37888'
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...
---
_id: '57948'
author:
- first_name: Tobias
  full_name: Mai, Tobias
  last_name: Mai
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Mai T, Biehler R. Transitionen zwischen Vektorobjekten in Schulbüchern. In:
    Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. <i>Beiträge
    zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik
    der Mathematik.</i> WTM-Verlag; 2024:1103-1106. doi:<a href="https://doi.org/10.37626/GA9783959872782.0">10.37626/GA9783959872782.0</a>'
  apa: Mai, T., &#38; Biehler, R. (2024). Transitionen zwischen Vektorobjekten in
    Schulbüchern. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, &#38;
    P. Scherer (Eds.), <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik.</i> (pp. 1103–1106). WTM-Verlag.
    <a href="https://doi.org/10.37626/GA9783959872782.0">https://doi.org/10.37626/GA9783959872782.0</a>
  bibtex: '@inbook{Mai_Biehler_2024, place={Münster}, title={Transitionen zwischen
    Vektorobjekten in Schulbüchern}, DOI={<a href="https://doi.org/10.37626/GA9783959872782.0">10.37626/GA9783959872782.0</a>},
    booktitle={Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik.}, publisher={WTM-Verlag}, author={Mai, Tobias and
    Biehler, Rolf}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter, A.
    and Schacht, F. and Scherer, P.}, year={2024}, pages={1103–1106} }'
  chicago: 'Mai, Tobias, and Rolf Biehler. “Transitionen zwischen Vektorobjekten in
    Schulbüchern.” In <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik.</i>, edited by P. Ebers, F. Rösken,
    B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 1103–6. Münster: WTM-Verlag,
    2024. <a href="https://doi.org/10.37626/GA9783959872782.0">https://doi.org/10.37626/GA9783959872782.0</a>.'
  ieee: 'T. Mai and R. Biehler, “Transitionen zwischen Vektorobjekten in Schulbüchern,”
    in <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik.</i>, P. Ebers, F. Rösken, B. Barzel, A. Büchter,
    F. Schacht, and P. Scherer, Eds. Münster: WTM-Verlag, 2024, pp. 1103–1106.'
  mla: Mai, Tobias, and Rolf Biehler. “Transitionen zwischen Vektorobjekten in Schulbüchern.”
    <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik.</i>, edited by P. Ebers et al., WTM-Verlag, 2024,
    pp. 1103–06, doi:<a href="https://doi.org/10.37626/GA9783959872782.0">10.37626/GA9783959872782.0</a>.
  short: 'T. Mai, R. Biehler, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht,
    P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der
    Gesellschaft für Didaktik der Mathematik., WTM-Verlag, Münster, 2024, pp. 1103–1106.'
date_created: 2025-01-06T11:10:31Z
date_updated: 2025-01-06T11:16:00Z
ddc:
- '510'
department:
- _id: '363'
doi: 10.37626/GA9783959872782.0
editor:
- first_name: P.
  full_name: Ebers, P.
  last_name: Ebers
- first_name: F.
  full_name: Rösken, F.
  last_name: Rösken
- first_name: B.
  full_name: Barzel, B.
  last_name: Barzel
- first_name: A.
  full_name: Büchter, A.
  last_name: Büchter
- first_name: F.
  full_name: Schacht, F.
  last_name: Schacht
- first_name: P.
  full_name: Scherer, P.
  last_name: Scherer
file:
- access_level: closed
  content_type: application/pdf
  creator: krueter
  date_created: 2025-01-06T11:10:08Z
  date_updated: 2025-01-06T11:10:08Z
  file_id: '57949'
  file_name: BzMU24_1103.pdf
  file_size: 557171
  relation: main_file
  success: 1
file_date_updated: 2025-01-06T11:10:08Z
has_accepted_license: '1'
language:
- iso: ger
main_file_link:
- url: https://doi.org/10.37626/GA9783959872782.0
page: 1103-1106
place: Münster
publication: Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
  für Didaktik der Mathematik.
publisher: WTM-Verlag
status: public
title: Transitionen zwischen Vektorobjekten in Schulbüchern
type: book_chapter
user_id: '37888'
year: '2024'
...
---
_id: '57947'
author:
- first_name: Thomas
  full_name: Bauer, Thomas
  last_name: Bauer
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Elisa
  full_name: Lankeit, Elisa
  last_name: Lankeit
citation:
  ama: 'Bauer T, Biehler R, Lankeit E. Designing a Concept Inventory for Real Analysis.
    In: Gonzalez-Martin AS, Gueudet G, Florensa I, Lombard N, eds. <i>INDRUM2024 PROCEEDINGS
    - Fifth Conference of the International Network for Didactic Research in University
    Mathematics</i>. Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona)
    and INDRUM; 2024:65-74.'
  apa: Bauer, T., Biehler, R., &#38; Lankeit, E. (2024). Designing a Concept Inventory
    for Real Analysis. In A. S. Gonzalez-Martin, G. Gueudet, I. Florensa, &#38; N.
    Lombard (Eds.), <i>INDRUM2024 PROCEEDINGS - Fifth conference of the International
    Network for Didactic Research in University Mathematics</i> (pp. 65–74). Escola
    Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM.
  bibtex: '@inbook{Bauer_Biehler_Lankeit_2024, title={Designing a Concept Inventory
    for Real Analysis}, booktitle={INDRUM2024 PROCEEDINGS - Fifth conference of the
    International Network for Didactic Research in University Mathematics}, publisher={Escola
    Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM}, author={Bauer,
    Thomas and Biehler, Rolf and Lankeit, Elisa}, editor={Gonzalez-Martin, A. S. and
    Gueudet, G. and Florensa, I. and Lombard, N.}, year={2024}, pages={65–74} }'
  chicago: Bauer, Thomas, Rolf Biehler, and Elisa Lankeit. “Designing a Concept Inventory
    for Real Analysis.” In <i>INDRUM2024 PROCEEDINGS - Fifth Conference of the International
    Network for Didactic Research in University Mathematics</i>, edited by A. S. Gonzalez-Martin,
    G. Gueudet, I. Florensa, and N. Lombard, 65–74. Escola Univeristaria Salesiana
    de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024.
  ieee: T. Bauer, R. Biehler, and E. Lankeit, “Designing a Concept Inventory for Real
    Analysis,” in <i>INDRUM2024 PROCEEDINGS - Fifth conference of the International
    Network for Didactic Research in University Mathematics</i>, A. S. Gonzalez-Martin,
    G. Gueudet, I. Florensa, and N. Lombard, Eds. Escola Univeristaria Salesiana de
    Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024, pp. 65–74.
  mla: Bauer, Thomas, et al. “Designing a Concept Inventory for Real Analysis.” <i>INDRUM2024
    PROCEEDINGS - Fifth Conference of the International Network for Didactic Research
    in University Mathematics</i>, edited by A. S. Gonzalez-Martin et al., Escola
    Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024,
    pp. 65–74.
  short: 'T. Bauer, R. Biehler, E. Lankeit, in: A.S. Gonzalez-Martin, G. Gueudet,
    I. Florensa, N. Lombard (Eds.), INDRUM2024 PROCEEDINGS - Fifth Conference of the
    International Network for Didactic Research in University Mathematics, Escola
    Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024,
    pp. 65–74.'
date_created: 2025-01-06T10:56:52Z
date_updated: 2025-01-06T11:00:23Z
department:
- _id: '363'
editor:
- first_name: A. S.
  full_name: Gonzalez-Martin, A. S.
  last_name: Gonzalez-Martin
- first_name: G.
  full_name: Gueudet, G.
  last_name: Gueudet
- first_name: I.
  full_name: Florensa, I.
  last_name: Florensa
- first_name: N.
  full_name: Lombard, N.
  last_name: Lombard
language:
- iso: eng
main_file_link:
- url: https://research.utwente.nl/files/443812185/PreProceedings_INDRUM2024_comprimido.pdf#page=11
page: 65-74
publication: INDRUM2024 PROCEEDINGS - Fifth conference of the International Network
  for Didactic Research in University Mathematics
publisher: Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona)
  and INDRUM
status: public
title: Designing a Concept Inventory for Real Analysis
type: book_chapter
user_id: '37888'
year: '2024'
...
---
_id: '45786'
abstract:
- lang: eng
  text: Intending to counteract Klein’s second discontinuity in teacher education,
    we explored and applied the innovation of “interface ePortfolio” in the context
    of a geometry course for preservice teachers (PSTs). The tool offers the possibility
    of implementing the design principle of profession orientation. In the article,
    we theoretically clarify what we understand by this principle and locate our innovative
    concept against this theoretical background. We empirically investigate the extent
    to which counteraction against the second discontinuity is successful by analyzing
    reflection texts created in the interface ePortfolio, focusing on PSTs’ perspectives.
    Our qualitative content analysis shows that most of them perceive the innovation
    as helpful in the intended sense and indicates that the course concept, in general,
    and the interface ePortfolio, in particular, have helped establish relevant links
    between the course content and their later work as teachers.
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. Implementing profession orientation as a design principle
    for overcoming Klein’s second discontinuity – preservice teacher’s perspectives
    on interface activities in the context of a geometry course. <i>ZDM – Mathematics
    Education</i>. Published online 2023. doi:<a href="https://doi.org/10.1007/s11858-023-01505-3">10.1007/s11858-023-01505-3</a>
  apa: Hoffmann, M., &#38; Biehler, R. (2023). Implementing profession orientation
    as a design principle for overcoming Klein’s second discontinuity – preservice
    teacher’s perspectives on interface activities in the context of a geometry course.
    <i>ZDM – Mathematics Education</i>. <a href="https://doi.org/10.1007/s11858-023-01505-3">https://doi.org/10.1007/s11858-023-01505-3</a>
  bibtex: '@article{Hoffmann_Biehler_2023, title={Implementing profession orientation
    as a design principle for overcoming Klein’s second discontinuity – preservice
    teacher’s perspectives on interface activities in the context of a geometry course},
    DOI={<a href="https://doi.org/10.1007/s11858-023-01505-3">10.1007/s11858-023-01505-3</a>},
    journal={ZDM – Mathematics Education}, publisher={Springer}, author={Hoffmann,
    Max and Biehler, Rolf}, year={2023} }'
  chicago: Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as
    a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s
    Perspectives on Interface Activities in the Context of a Geometry Course.” <i>ZDM
    – Mathematics Education</i>, 2023. <a href="https://doi.org/10.1007/s11858-023-01505-3">https://doi.org/10.1007/s11858-023-01505-3</a>.
  ieee: 'M. Hoffmann and R. Biehler, “Implementing profession orientation as a design
    principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives
    on interface activities in the context of a geometry course,” <i>ZDM – Mathematics
    Education</i>, 2023, doi: <a href="https://doi.org/10.1007/s11858-023-01505-3">10.1007/s11858-023-01505-3</a>.'
  mla: Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a
    Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s
    Perspectives on Interface Activities in the Context of a Geometry Course.” <i>ZDM
    – Mathematics Education</i>, Springer, 2023, doi:<a href="https://doi.org/10.1007/s11858-023-01505-3">10.1007/s11858-023-01505-3</a>.
  short: M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2023).
date_created: 2023-06-27T11:45:25Z
date_updated: 2024-04-18T09:01:29Z
ddc:
- '510'
- '370'
department:
- _id: '643'
doi: 10.1007/s11858-023-01505-3
file:
- access_level: closed
  content_type: application/pdf
  creator: maxh
  date_created: 2023-07-13T09:40:02Z
  date_updated: 2023-07-13T09:40:02Z
  file_id: '46041'
  file_name: s11858-023-01505-3.pdf
  file_size: 1460246
  relation: main_file
  success: 1
file_date_updated: 2023-07-13T09:40:02Z
has_accepted_license: '1'
keyword:
- General Mathematics
- Education
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/article/10.1007/s11858-023-01505-3
oa: '1'
publication: ZDM – Mathematics Education
publication_identifier:
  issn:
  - 1863-9690
  - 1863-9704
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Implementing profession orientation as a design principle for overcoming Klein’s
  second discontinuity – preservice teacher’s perspectives on interface activities
  in the context of a geometry course
type: journal_article
user_id: '37888'
year: '2023'
...
