---
_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:
- '510'
department:
- _id: '363'
editor:
- first_name: R.
  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:
- access_level: closed
  content_type: application/pdf
  creator: krueter
  date_created: 2025-04-10T07:44:19Z
  date_updated: 2025-04-10T07:44:19Z
  file_id: '59470'
  file_name: ICLS2024_1863-1870.pdf
  file_size: 343448
  relation: main_file
  success: 1
file_date_updated: 2025-04-10T07:44:19Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://repository.isls.org/handle/1/10830
oa: '1'
page: 1863-1870
publication: Proceedings of the 18th International Conference of the Learning Sciences-ICLS
  2024
publisher: International Society of the Learning Sciences
status: public
title: 'Data and Social Worlds: How Data Science Education Supports Civic Participation
  and Social Discourse'
type: conference
user_id: '37888'
year: '2024'
...
---
_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:
  link:
  - relation: confirmation
    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
ddc:
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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: 2025-01-06T11:19:31Z
  date_updated: 2025-01-06T11:19:31Z
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file_date_updated: 2025-01-06T11:19:31Z
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language:
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page: 1073-1076
place: Münster
publication: Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
  für Didaktik der Mathematik.
publisher: WTM-Verlag
status: public
title: 'Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit
  im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene'
type: book_chapter
user_id: '37888'
year: '2024'
...
---
_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:
- '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: 2025-01-06T11:14:34Z
  date_updated: 2025-01-06T11:14:34Z
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  file_name: BzMU24_167.pdf
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file_date_updated: 2025-01-06T11:14:34Z
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language:
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page: 167-170
place: Münster
publication: Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft
  für Didaktik der Mathematik.
publisher: WTM-Verlag
status: public
title: Intuitiver Zugang zu datenbasierten Entscheidungsbäumen
type: book_chapter
user_id: '37888'
year: '2024'
...
---
_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:
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  creator: krueter
  date_created: 2025-01-06T11:10:08Z
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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'
...
---
_id: '35697'
author:
- first_name: Laura
  full_name: Ostsieker, Laura
  last_name: Ostsieker
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Ostsieker L, Biehler R. Supporting Students in Developing Adequate Concept
    Images and Definitions at University: The Case of the Convergence of Sequences.
    In: <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Springer
    International Publishing; 2023:181-201. doi:<a href="https://doi.org/10.1007/978-3-031-14175-1_9">10.1007/978-3-031-14175-1_9</a>'
  apa: 'Ostsieker, L., &#38; Biehler, R. (2023). Supporting Students in Developing
    Adequate Concept Images and Definitions at University: The Case of the Convergence
    of Sequences. In <i>Practice-Oriented Research in Tertiary Mathematics Education</i>
    (pp. 181–201). Springer International Publishing. <a href="https://doi.org/10.1007/978-3-031-14175-1_9">https://doi.org/10.1007/978-3-031-14175-1_9</a>'
  bibtex: '@inbook{Ostsieker_Biehler_2023, place={Cham}, title={Supporting Students
    in Developing Adequate Concept Images and Definitions at University: The Case
    of the Convergence of Sequences}, DOI={<a href="https://doi.org/10.1007/978-3-031-14175-1_9">10.1007/978-3-031-14175-1_9</a>},
    booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer
    International Publishing}, author={Ostsieker, Laura and Biehler, Rolf}, year={2023},
    pages={181–201} }'
  chicago: 'Ostsieker, Laura, and Rolf Biehler. “Supporting Students in Developing
    Adequate Concept Images and Definitions at University: The Case of the Convergence
    of Sequences.” In <i>Practice-Oriented Research in Tertiary Mathematics Education</i>,
    181–201. Cham: Springer International Publishing, 2023. <a href="https://doi.org/10.1007/978-3-031-14175-1_9">https://doi.org/10.1007/978-3-031-14175-1_9</a>.'
  ieee: 'L. Ostsieker and R. Biehler, “Supporting Students in Developing Adequate
    Concept Images and Definitions at University: The Case of the Convergence of Sequences,”
    in <i>Practice-Oriented Research in Tertiary Mathematics Education</i>, Cham:
    Springer International Publishing, 2023, pp. 181–201.'
  mla: 'Ostsieker, Laura, and Rolf Biehler. “Supporting Students in Developing Adequate
    Concept Images and Definitions at University: The Case of the Convergence of Sequences.”
    <i>Practice-Oriented Research in Tertiary Mathematics Education</i>, Springer
    International Publishing, 2023, pp. 181–201, doi:<a href="https://doi.org/10.1007/978-3-031-14175-1_9">10.1007/978-3-031-14175-1_9</a>.'
  short: 'L. Ostsieker, R. Biehler, in: Practice-Oriented Research in Tertiary Mathematics
    Education, Springer International Publishing, Cham, 2023, pp. 181–201.'
date_created: 2023-01-10T09:03:11Z
date_updated: 2024-04-18T09:45:13Z
department:
- _id: '363'
doi: 10.1007/978-3-031-14175-1_9
language:
- iso: eng
page: 181-201
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: 'Supporting Students in Developing Adequate Concept Images and Definitions
  at University: The Case of the Convergence of Sequences'
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '35678'
author:
- first_name: Jörg
  full_name: Kortemeyer, Jörg
  last_name: Kortemeyer
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Kortemeyer J, Biehler R. Analyzing the Interface Between Mathematics and Engineering
    in Basic Engineering Courses. In: <i>Practice-Oriented Research in Tertiary Mathematics
    Education</i>. Springer International Publishing; 2023:669-692. doi:<a href="https://doi.org/10.1007/978-3-031-14175-1_32">10.1007/978-3-031-14175-1_32</a>'
  apa: Kortemeyer, J., &#38; Biehler, R. (2023). Analyzing the Interface Between Mathematics
    and Engineering in Basic Engineering Courses. In <i>Practice-Oriented Research
    in Tertiary Mathematics Education</i> (pp. 669–692). Springer International Publishing.
    <a href="https://doi.org/10.1007/978-3-031-14175-1_32">https://doi.org/10.1007/978-3-031-14175-1_32</a>
  bibtex: '@inbook{Kortemeyer_Biehler_2023, place={Cham}, title={Analyzing the Interface
    Between Mathematics and Engineering in Basic Engineering Courses}, DOI={<a href="https://doi.org/10.1007/978-3-031-14175-1_32">10.1007/978-3-031-14175-1_32</a>},
    booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer
    International Publishing}, author={Kortemeyer, Jörg and Biehler, Rolf}, year={2023},
    pages={669–692} }'
  chicago: 'Kortemeyer, Jörg, and Rolf Biehler. “Analyzing the Interface Between Mathematics
    and Engineering in Basic Engineering Courses.” In <i>Practice-Oriented Research
    in Tertiary Mathematics Education</i>, 669–92. Cham: Springer International Publishing,
    2023. <a href="https://doi.org/10.1007/978-3-031-14175-1_32">https://doi.org/10.1007/978-3-031-14175-1_32</a>.'
  ieee: 'J. Kortemeyer and R. Biehler, “Analyzing the Interface Between Mathematics
    and Engineering in Basic Engineering Courses,” in <i>Practice-Oriented Research
    in Tertiary Mathematics Education</i>, Cham: Springer International Publishing,
    2023, pp. 669–692.'
  mla: Kortemeyer, Jörg, and Rolf Biehler. “Analyzing the Interface Between Mathematics
    and Engineering in Basic Engineering Courses.” <i>Practice-Oriented Research in
    Tertiary Mathematics Education</i>, Springer International Publishing, 2023, pp.
    669–92, doi:<a href="https://doi.org/10.1007/978-3-031-14175-1_32">10.1007/978-3-031-14175-1_32</a>.
  short: 'J. Kortemeyer, R. Biehler, in: Practice-Oriented Research in Tertiary Mathematics
    Education, Springer International Publishing, Cham, 2023, pp. 669–692.'
date_created: 2023-01-10T08:53:44Z
date_updated: 2024-04-18T09:45:22Z
department:
- _id: '363'
doi: 10.1007/978-3-031-14175-1_32
language:
- iso: eng
page: 669-692
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: Analyzing the Interface Between Mathematics and Engineering in Basic Engineering
  Courses
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '48480'
author:
- first_name: Jörg
  full_name: Kortmeyer, Jörg
  last_name: Kortmeyer
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Kortmeyer J, Biehler R. The use of integrals for accumulation and mean values
    in basic electrical engineering courses. In: Dreyfus T, Gonzalez-Martin AS, Nardi
    E, Monaghan J, Thompson PW, eds. <i>The Learning and Teaching of Calculus Across
    Disciplines – Proceedings of the Second Calculus Conference</i>. MatRIC; 2023:121-124.'
  apa: Kortmeyer, J., &#38; Biehler, R. (2023). The use of integrals for accumulation
    and mean values in basic electrical engineering courses. In T. Dreyfus, A. S.
    Gonzalez-Martin, E. Nardi, J. Monaghan, &#38; P. W. Thompson (Eds.), <i>The Learning
    and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus
    Conference</i> (pp. 121–124). MatRIC.
  bibtex: '@inbook{Kortmeyer_Biehler_2023, title={The use of integrals for accumulation
    and mean values in basic electrical engineering courses}, booktitle={The Learning
    and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus
    Conference}, publisher={MatRIC}, author={Kortmeyer, Jörg and Biehler, Rolf}, editor={Dreyfus,
    T. and Gonzalez-Martin, A. S. and Nardi, E. and Monaghan, J. and Thompson, P.
    W.}, year={2023}, pages={121–124} }'
  chicago: Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation
    and Mean Values in Basic Electrical Engineering Courses.” In <i>The Learning and
    Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference</i>,
    edited by T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W.
    Thompson, 121–24. MatRIC, 2023.
  ieee: J. Kortmeyer and R. Biehler, “The use of integrals for accumulation and mean
    values in basic electrical engineering courses,” in <i>The Learning and Teaching
    of Calculus Across Disciplines – Proceedings of the Second Calculus Conference</i>,
    T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W. Thompson,
    Eds. MatRIC, 2023, pp. 121–124.
  mla: Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation and
    Mean Values in Basic Electrical Engineering Courses.” <i>The Learning and Teaching
    of Calculus Across Disciplines – Proceedings of the Second Calculus Conference</i>,
    edited by T. Dreyfus et al., MatRIC, 2023, pp. 121–24.
  short: 'J. Kortmeyer, R. Biehler, in: T. Dreyfus, A.S. Gonzalez-Martin, E. Nardi,
    J. Monaghan, P.W. Thompson (Eds.), The Learning and Teaching of Calculus Across
    Disciplines – Proceedings of the Second Calculus Conference, MatRIC, 2023, pp.
    121–124.'
date_created: 2023-10-26T07:01:34Z
date_updated: 2024-04-18T10:01:24Z
ddc:
- '510'
department:
- _id: '363'
editor:
- first_name: T.
  full_name: Dreyfus, T.
  last_name: Dreyfus
- first_name: A. S.
  full_name: Gonzalez-Martin, A. S.
  last_name: Gonzalez-Martin
- first_name: E.
  full_name: Nardi, E.
  last_name: Nardi
- first_name: J.
  full_name: Monaghan, J.
  last_name: Monaghan
- first_name: P. W.
  full_name: Thompson, P. W.
  last_name: Thompson
file:
- access_level: closed
  content_type: application/pdf
  creator: krueter
  date_created: 2023-10-26T07:00:55Z
  date_updated: 2023-10-26T07:00:55Z
  file_id: '48481'
  file_name: Kortemeyer Biehler aus CalcConf2023_Proceedings.pdf
  file_size: 1389445
  relation: main_file
  success: 1
file_date_updated: 2023-10-26T07:00:55Z
has_accepted_license: '1'
language:
- iso: eng
page: 121-124
publication: The Learning and Teaching of Calculus Across Disciplines – Proceedings
  of the Second Calculus Conference
publisher: MatRIC
status: public
title: The use of integrals for accumulation and mean values in basic electrical engineering
  courses
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_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'
...
