Publications
2025
- Published
Modelling mathematics for educational research and practice: a comparison of two theoretical approaches
Hochmuth, R., Peters, J., Rønning, F. & Winsløw, C., Feb 2025, In: Educational studies in mathematics. 118, 2, p. 153–168 16 p.Research output: Contribution to journal › Article › Research › peer review
- Accepted/In press
Crisis-driven transformation in tertiary mathematics – A case study connecting TTE and ATD
Günther, L. M., Peters, J. & Hochmuth, R., 2025, (Accepted/In press) Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME14).Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
2024
- E-pub ahead of print
INDRUM2022 Special Issue
Barquero, B., Hochmuth, R. & Trigueros, M., 29 Aug 2024, (E-pub ahead of print) In: International Journal of Mathematical Education in Science and Technology. 10 p.Research output: Contribution to journal › Editorial in journal › Research › peer review
- Published
About the Use of QA-Maps in the Development of Lesson Plans by Student Teachers
Hochmuth, R. & Peters, J., 23 Jul 2024, Trends in Mathematics. Springer Science and Business Media Deutschland GmbH, p. 283-291 9 p. (Trends in Mathematics; vol. 16).Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Structuralist praxeologies in the perspective of Klein: the case of connectedness in analysis
Hausberger, T. & Hochmuth, R., 10 Jun 2024, Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024). Gonzalez-Martin, S., Gueudet, G. & Florensa, I. (eds.). p. 135 - 144 (Proceedings of the International network for didactic research in university mathematics).Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
- Published
Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students
Büdenbender-Kuklinski, C., Hochmuth, R. & Liebendörfer, M., Apr 2024, In: International Journal of Research in Undergraduate Mathematics Education. 10, 1, p. 138-171 34 p.Research output: Contribution to journal › Article › Research › peer review
- Published
Brückenvorlesungen und semesterbegleitende Maßnahmen
Büdenbender-Kuklinski, C., Hochmuth, R., Liebendörfer, M. & Ruge, J., 2024, Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen: Konzepte, Praxisbeispiele und Untersuchungsergebniss. Hochmuth, R., Biehler, R., Liebendörfer, M. & Schaper, N. (eds.). p. 367-394Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Creating the De | Informed Citizen
Ruge, J., Khellaf, S. & Hochmuth, R., 2024, In: Philosophy of Mathematics Education Journal. 2024, 41, 26 p.Research output: Contribution to journal › Article › Research › peer review
- E-pub ahead of print
How many differentiable functions are there? A reflection on functional thinking and the Baire category theorem as a component of mathematical horizon content knowledge for prospective teachers
Hanke, E. & Hochmuth, R., 2024, (E-pub ahead of print) Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024). González-Martín, A. S., Gueudet, G., Florensa, I. & Lombard, N. (eds.). p. 125-134Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
- E-pub ahead of print
Inquiry in mathematics: studying a professional development measure for university lecturers
Gómez-Chacón, I. M., Hochmuth, R. & Peters, J., 2024, (E-pub ahead of print) In: International Journal of Mathematical Education in Science and Technology.Research output: Contribution to journal › Article › Research › peer review
- Published
Ontologies in engineering mathematics research
Peters, J., Hoppe, A., Ewerth, R. & Hochmuth, R., 2024, INDRUM2024 Proceedings: Fifth conference of the International Network for Didactic Research in University Mathematics. González-Martín, A. S., Gueudet, G., Florensa, I. & Lombard, N. (eds.). Barcelona, p. 535-536Research output: Chapter in book/report/conference proceeding › Conference abstract › Research › peer review
- Published
Sensitising teacher students for institutional obstacles in analysing content for lesson planning: Preliminary analysis of an intervention project
Hochmuth, R. & Peters, J., 2024, INDRUM2024 Proceedings: Fifth conference of the International Network for Didactic Research in University Mathematics. González-Martín, A. S., Gueudet, G., Florensa, I. & Lombard, N. (eds.). Barcelona, p. 609-618 (Proceedings (INDRUM)).Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
2023
- Published
Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik
Liebendörfer, M., Hochmuth, R., Biehler, R., Schaper, N., Büdenbender-Kuklinski, C., Lankeit, E., Ruge, J. & Schürmann, M., 21 Feb 2023, Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik. Hochmuth, R., Biehler, R., Liebendörfer, M. & Schaper, N. (eds.). p. 33-65Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Bildungsaufgaben im frühen Mathematiklehramtsstudium: Subjektwissenschaftliche Rekonstruktion von Möglichkeitsräumen
Khellaf, S. & Hochmuth, R., 2023, Reflexiv Handlungsfähig: Entwicklungslinien und Ergebnisse der Lehrkräftebildung an der Leibniz Universität Hannover . p. 89-106Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Calculus at the school to university transition: early stages of a structuralist perspective in real analysis
Laukert, L., Hausberger, T. & Hochmuth, R., 2023, Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). 8 p.Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Einführung in das WiGeMath-Projekt: Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen für mathematikbezogenes Lernen in der Studieneingangsphase
Hochmuth, R., Biehler, R., Schaper, N., Liebendörfer, M., Büdenbender-Kuklinski, C., Lankeit, E., Ruge, J. & Schürmann, M., 2023, Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen. Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik. Hochmuth, R., Biehler, R., Liebendörfer, M. & Schaper, N. (eds.). p. 3-31Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Engineering mathematics: Reflections on the dialectics of in and for
Peters, J. & Hochmuth, R., 2023, Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). Drijvers, P., Csapodi, C., Palmér, H., Gosztonyi, K. & Kónya, E. (eds.). p. 2489 - 2490Research output: Chapter in book/report/conference proceeding › Conference abstract › Research › peer review
- Published
Evaluation von Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen
Schürmann, M., Liebendörfer, M., Büdenbender-Kuklinski, C., Lankeit, E., Ruge, J., Schaper, N., Biehler, R. & Hochmuth, R., 2023, Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik. p. 67-113Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Fachdidaktik fortgeschrittener Hochschulmathematik
Hochmuth, R. & Urban, K., 2023, Beiträge zum Mathematikunterricht 2022. 2 p.Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
- Published
Fachliches und »Anderes« in der Hochschuldidaktik Mathematik: Einblicke und Ungeklärtes
Hochmuth, R., 2023, Wissenschaftsdidaktik II: Einzelne Disziplinen. Reinmann, G. & Rhein, R. (eds.). p. 221-244Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Freiheit in der Lehre – endlich mal!
Specovius-Neugebauer, M., Hochmuth, R. & Ruge, J., 2023, Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik.. Hochmuth, R., Biehler, R., Liebendörfer, M. & Schaper, N. (eds.). p. 427-456Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Höhere Mathematik für Ingenieure in Kleingruppen
Lilli, M., Hochmuth, R. & Büdenbender-Kuklinski, C., 2023, Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik. Hochmuth, R., biehler, R., Liebendörfer, M. & Schaper, N. (eds.). p. 491-513Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Thoughts on Different Types of Mathematical Enculturation at the Secondary-Tertiary-Transition
Günther, L. M. & Hochmuth, R., 2023, Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). Drijvers, P., Csapodi, C., Palmér, H., Gosztonyi, K. & Kónya, E. (eds.). BudapestResearch output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
2022
- Published
Hybride Lehre in den Fächern und im Lehramt: Forschung als Impuls für eine fach- und studiengangsbezogene Lehrentwicklung an Hochschulen
Hochmuth, R. (Editor), Becker, T. (Editor) & Kempen, L. (Editor), 5 Sept 2022, (Forschung und Innovation in der Hochschulbildung; vol. 15)Research output: Book/Report › Anthology › Research › peer review
- Published
Sometimes mathematics is different in electrical engineering
Peters, J. & Hochmuth, R., 28 Jun 2022, In: Hiroshima journal of mathematics education. 15, 2, p. 115 - 127Research output: Contribution to journal › Article › Research › peer review
- Published
Dokumentation der Erhebungsinstrumente des Projekts WiGeMath
Schürmann, M., Büdenbender-Kuklinski, C., Lankeit, E., Liebendörfer, M., Hochmuth, R., Biehler, R. & Schaper, N., May 2022, Kassel.Research output: Book/Report › Project report/research report › Research › peer review
- Published
Das Lernzentrum Mathematikdidaktik der Leibniz Universität Hannover
Vo Thi, M. H., Rust, S., Schulze, J. & Hochmuth, R., 21 Feb 2022, Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen: Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Hochmuth, R., Biehler, R., Liebendörfer, M. & Schaper, N. (eds.). 1. ed. Berlin, Heidelberg, p. 665-690 (Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik (KSHLM)).Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
About Two Epistemological Related Aspects in Mathematical Practices of Empirical Sciences
Hochmuth, R. & Peters, J., 1 Jan 2022, Advances in the Anthropological Theory of the Didactic. Chevallard, Y., Barquero, B., Bosch, M., Florensa, I., Gascón, J., Nicolás, P. & Ruiz-Munzón, N. (eds.). Cham: Springer International Publishing AG, p. 327-342 16 p.Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
- Published
Analysis tasks based on a theorem in Nonlinear Approximation theory
Hochmuth, R., 2022, In: International Journal of Mathematical Education in Science and Technology. 53, 5, p. 1113-1132 20 p.Research output: Contribution to journal › Article › Research › peer review
- Published
Die digitale Umsetzung einer praxisorientierten Lernaktivität für Lehramtsstudierende
Khellaf, S. & Hochmuth, R., 2022, Hybride Lehre in den Fächern und im Lehramt: Forschung als Impuls für eine fach- und studiengangbezogene Lehrentwicklung an Hochschulen. 1 ed. Vol. 15. p. 113 134 p. (Forschung und Innovation in der Hochschulbildung; vol. 15).Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Transfer › peer review
- Published
Hybride Lehre in den Fächern und im Lehramt. Forschung als Impuls für eine fach- und studiengangbezogene Lehrentwicklung an Hochschulen
Becker, T. (Editor), Hochmuth, R. (Editor) & Kempen, L. (Editor), 2022, (Forschung und Innovation in der Hochschulbildung; vol. 15)Research output: Book/Report › Anthology › Research
- Published
INDRUM 2022 Editorial
Trigueros, M., Barquero, B., Hochmuth, R. & Peters, J., 2022, INDRUM2022 PROCEEDINGS: Fourth conference of the International Network for Didactic Research in University Mathematics. Trigueros, M., Barquero, B., Hochmuth, R. & Peters, J. (eds.). p. 1-4 (International network for didactic research in university mathematics).Research output: Chapter in book/report/conference proceeding › Foreword/postscript › Research
- Published
Promoting Inquiry in Mathematics: Professional Development of University Lecturers
Gómez-Chacón, I. M., Hochmuth, R. & Peters, J., 2022, INDRUM 2022 PROCEEDGINGS: Fourth conference of the International Network for Didactic Research in University Mathematics. p. 498-507 (International network for didactic research in university mathematics).Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
- Published
Relevance attributions to contents in mathematics teacher education
Büdenbender-Kuklinski, C., Hochmuth, R. & Liebendörfer, M., 2022, INDRUM 2022 PROCEEDINGS: Fourth conference of the International Network for Didactic Research in University Mathematics. p. 488-497 (International network for didactic research in university mathematics).Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
- Published
Student Teachers’ Development of Introductory ODE Learning Units - Subject-specific and further Challenges
Hochmuth, R. & Peters, J., 2022, INDRUM 2022 PROCEEDGINGS: Fourth conference of the International Network for Didactic Research in University Mathematics. p. 528-537 (International Network for Didactic Research in University Mathematics).Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
- Published
The role of learning strategies for performance in mathematics courses for engineers
Liebendörfer, M., Göller, R., Gildehaus, L., Kortemeyer, J., Biehler, R., Hochmuth, R., Ostsieker, L., Rode, J. & Schaper, N., 2022, In: International Journal of Mathematical Education in Science and Technology. 53, 5, p. 1133-1152 20 p.Research output: Contribution to journal › Article › Research › peer review
2021
- Published
Compartmentalisation of Mathematical Sectors: The Case of Continuous Probability Distributions and Integrals
Hausberger, T., Derouet, C., Hochmuth, R. & Planchon, G., Oct 2021, In: International Journal of Research in Undergraduate Mathematics Education. 7, 3, p. 490-518 29 p.Research output: Contribution to journal › Article › Research › peer review
- Published
On the Analysis of Mathematical Practices in Signal Theory Courses
Hochmuth, R. & Peters, J., Jul 2021, In: International Journal of Research in Undergraduate Mathematics Education. 7, 2, p. 235-260 26 p.Research output: Contribution to journal › Article › Research › peer review
- Published
Mathematics learning support centres in Germany - An overview
Schürmann, M., Gildehaus, L., Liebendörfer, M., Schaper, N., Biehler, R., Hochmuth, R., Kuklinski, C. & Lankeit, E., 1 Jun 2021, In: Teaching Mathematics and its Applications. 40, 2, p. 99-113 15 p.Research output: Contribution to journal › Review article › Research › peer review
- Published
External Didactic Transposition in Undergraduate Mathematics
Bosch, M., Hausberger, T., Hochmuth, R., Kondratieva, M. & Winslow, C., Apr 2021, In: International Journal of Research in Undergraduate Mathematics Education. 7, p. 140-162Research output: Contribution to journal › Article › Research › peer review