Didactics of Mathematics - RG Prof. Reinhard Hochmuth

Welcome to the website of Prof. Dr. Reinhard Hochmuth's research group.

The research topics of the working group focus on professional, in particular epistemological-institutional, and psychological aspects of teaching and learning mathematics at school and at university. A part of the research relating to the transition from school to university is located in the Competence Centre for Higher Education Didactics in Mathematics (khdm), which was established in close cooperation with colleagues at the universities of Kassel and Paderborn. The khdm is one of three internationally acknowledged European centres in higher education mathematics. There are cooperative relationships with the two other centres in Great Britain (the Sigma Network, founded by the Mathematics Education Centre of Loughborough University together with Coventry University) and Norway (Centre for Research, Innovation and Coordination of Mathematics Teaching (MatRIC)), which are manifested in jointly organised international workshops, conferences and professional development courses in higher education didactics. The professorship also plays a major role in the European network INDRUM (International Network for Didactic Research in University Mathematics) as well as in the survey team on university didactics of the International Congress on Mathematical Education, which takes place every four years. Methodologically, the research efforts are based on approaches of the so-called Anthropological Theory of Didactics and on cultural, historical and social science concepts. Thematically, the focus is on questions of external didactic transposition, the design and implementation of digital teaching units, or the analysis of mathematics-related practices of electrical engineering students in advanced courses such as signal theory, and, last but not least, the analysis of effects and conditions for success of current projects in higher education didactics in mathematics. A current focus is on the development of teaching units that enable research-based learning and a link to advanced mathematics content. Another current focus is on the subject-scientific reconstruction and further development of up-to-date international didactics discourses, which pursue the claim of linking social and mathematical aspects in a teaching-learning perspective.


Key research projects

  • HALMA (Hochschulübergreifend Adaptive Lernwege Mathematik, Verbundprojekt des khdm)
  • Kompetenzzentrum Hochschuldidaktik Mathematik (khdm, Kooperation mit A. Eichler/Universität Kassel & S. Rezart/Universität Paderborn u. a.)
  • PLATINUM (Partnership for Learning and Teaching in University Mathematics): Europäisches Projekt in Kooperation mit Kolleg*innen aus Norwegen, England, Spanien, Niederlande, Tschechien und der Ukraine.
  • Mathematik im Alltag online unterrichten (MiAou) in Kooperation mit Prof. Dr Frühbis-Krüger und Prof. Dr. May (Carl von Ossietzky Universität Oldenburg) sowie PD Dr. Michael Gruber
  • WiGeMath-Transfer-Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen für mathematikbezogenes Lernen in der Studieneingangsphase (Kooperation mit R. Biehler, M. Liebendörfer, N. Schaper/Universität Paderborn u.a.)

Kompetenzzentrum für Hochschuldidaktik Mathematik (khdm)

The research group is part of the Kompetenzzentrums für Hochschuldidaktik Mathematik (khdm).

The khdm is a joint scientific institution of the Universities of Hanover, Kassel and Paderborn, which has been active in the field of university didactics in mathematics since 2010. The KHDM's research is oriented towards addressing pragmatic concerns pertaining to the pedagogy and acquisition of mathematics at the university level. In addition to contributing to the development of theory, the khdm's research programme is ultimately concerned with the further development of the teaching and learning of mathematics at university level.

Further information about khdm

Teaching at LUH

The working group is involved in teaching mathematics education in the interdisciplinary Bachelor's degree programme, the Bachelor's degree programme in Technical Education, and the Master's degree programme for teaching at secondary schools. 

Regular courses include:

  • Introduction to Mathematics Education
  • Cooperative seminar with the Study Seminar II for Teaching at Secondary Schools, Hanover
  • Preparatory seminars for Bachelor's and Master's theses with various specialisations

A current overview can be found in the course catalogue. 

Team of the Research Group

Professor

Prof. Dr. Reinhard Hochmuth
Professors
Address
Welfengarten 1
30167 Hannover
Building
Room
Address
Welfengarten 1
30167 Hannover
Building
Room
  • Research focus
    • Anthropological theory of didactics
    • Transition from school to university
    • Epistemological-institutional and psychological aspects of teaching and learning mathematics
    • University didactics of mathematics
  • Selected publications
    • Hochmuth, R., Peters, J., Rønning, F., & Winsløw, C. (2025). Modelling mathematics for educational research and practice: a comparison of two theoretical approaches. Educational studies in mathematics, 118(2), 153–168. doi.org/10.1007/s10649-024-10368-8

    • Hausberger, T., Derouet, C., Hochmuth, R., & Planchon, G. (2021). Compartmentalisation of mathematical sectors: the case of continuous probability distributions and integral. International Journal of Research in Undergraduate Mathematics Education, 7, 140-162.

    • Hochmuth, R., Broley, L., & Nardi, E. (2021). Transitions to, across and beyond university. In V. Durand-Guerrier, R. Hochmuth , E. Nardi and C. Winsløw (Eds.), Research and Development in University Mathematics Education (S. 193 - 215). New York: Routledge.

    • Hochmuth, R., & Peters, J. (2021). On the analysis of mathematical practices in signal theory courses. International Journal of Research in Undergraduate Mathematics Education, 7(2), 235-260.

    Publications of Reinhard Hochmuth
  • Further Information
    Homepage of Reinhard Hochmuth

Office

Anja Krampe
Office
Address
Welfengarten 1
30167 Hannover
Building
Room
Office hours
Mon. – Fri. 09:00 - 13:00
and by appointment
Address
Welfengarten 1
30167 Hannover
Building
Room
Office hours
Mon. – Fri. 09:00 - 13:00
and by appointment

Members of the Research Groupe

Research Staff

External and Associated Doctoral Students

  • Laura Burr
  • Felix Frost
  • Pia Hodel
  • Sarah Khellaf
  • Hanh Vo Thi
  • Ludwig Laukert
  • Nico Marten
  • Alexandra Riesen
  • Johanna Ruge

Former Professors

apl. Prof. Dr. rer. nat. phil.habil. Thomas Bedürftig
Emeritus/Retired Professors
Address
Welfengarten 1
30167 Hannover
Building
Room
Address
Welfengarten 1
30167 Hannover
Building
Room