Institute of Mathematics and its Didactics

Organisational unit: Institute

Organisation profile

The Institute of Mathematics and its Didactics prepares students in education programs of study for teaching mathematics in primary, secondary and intermediary schools as well as in vocational schools (in the social pedagogy and business economics majors). Important areas of concentration include the integration of theory and practice in mathematics education through inter- and transdisciplinary research, as well the professionalization of teachers through video-based instructional evaluation and instructor support for solving specific diagnostic assignments.

Topics

Didaktik der Mathematik (Primarstufe, Sekundarstufe I, Hochschuldidaktik); mathematisches Lernen im Grundschulalter, mathematische Vorläuferfähigkeiten, Lernschwierigkeiten im Mathematikunterricht, Metaphern und Metonymien im mathematischen Lernprozess, mathematisches Begründen in der Grundschule; mathematische Modellierungskompetenz, modellierungsbezogene Lernprozesse, Lehrerinterventionen im Mathematikunterricht, formatives Assessment im Mathematikunterricht, sprachliche Heterogenität im Mathematikunterricht; kritische Mathematikdidaktik, Mathematik in Lehramtsstudiengängen und in den Ingenieur- und Wirtschaftswissenschaften, Übergang Schule-Hochschule, Stufen des Begründens und Beweisens, Psychologische Theorien, Mathematische Vor- und Brückenkurse, Funktionalanalysis, Nichtlineare Approximation, Partielle Differentialgleichungen

  1. Journal articles › Research › Peer-reviewed
  2. Published

    Number theoretical peculiarities in the dimension theory of dynamical systems

    Neunhäuserer, J., 2002, In: Israel Journal of Mathematics. 128, p. 267-283 17 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  3. E-pub ahead of print
  4. Published

    On the Hausdorff dimension of fractals given by certain expansions of real numbers

    Neunhäuserer, J., 11.2011, In: Archiv der Mathematik. 97, 5, p. 459-466 8 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  5. Published

    Open-flow mixing and transfer operators

    Klünker, A., Padberg-Gehle, K. & Thiffeault, J-L., 13.06.2022, In: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 380, 2225, 22 p., 20210028.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  6. Published

    Performance-oriented measurement of teachers’ competence in linguistically responsive teaching, relevant learning opportunities and beliefs

    Lemmrich, S. & Ehmke, T., 2024, In: Cogent Education. 11, 1, 17 p., 2352267.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  7. Published

    Probing turbulent superstructures in Rayleigh-Bénard convection by Lagrangian trajectory clusters

    Schneide, C., Pandey, A., Padberg-Gehle, K. & Schumacher, J., 15.11.2018, In: Physical Review Fluids. 3, 11, 113502.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  8. Published

    Properties of some overlapping self-similar and some self-affine measures

    Neunhäuserer, J., 07.2001, In: Acta Mathematica Hungarica. 92, 1-2, p. 143-161 19 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  9. Published

    Publikationsbasierte Dissertation?! Argumente - Aktueller Stand - Offene Fragen

    Joklitschke, J., Geisler, S., Ruwisch, S., Barzel, B. & Fritzlar, T., 2022, In: Mitteilungen der Gesellschaft für Didaktik der Mathematik. 113, p. 78-81 4 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  10. Published

    Räumliche Perspektivübernahme mit symmetrischen und unsymmetrischen Gegenständen: Eine Interviewstudie mit Kindern am Schulanfang

    Niedermeyer, I., 24.07.2013, In: mathematica didactica. 36, p. 221-241 21 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  11. E-pub ahead of print

    Reality-Based Tasks with Complex-Situations: Identifying Sociodemographic and Cognitive Factors for Solution

    Knabbe, A., Leiss, D. & Ehmke, T., 2024, (E-pub ahead of print) In: International Journal of Science and Mathematics Education. 24 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  12. Published
  13. Published

    Restricted nonlinear approximation and singular solutions of boundary integral equations

    Hochmuth, R., 2002, In: Approximation Theory and Its Applications. 18, 1, p. 1-25 25 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  14. Published

    Return of Fibonacci random walks

    Neunhäuserer, J., 01.02.2017, In: Statistics and Probability Letters. 121, p. 51-53 3 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  15. Published

    Schriftliches Begründen im Mathematikunterricht.

    Neumann, A., Beier, F. & Ruwisch, S., 2014, In: Zeitschrift für Grundschulforschung. 7, 1, p. 113-125 13 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  16. Published

    Selbstberichtete Strategienutzung und mathematische Modellierungskompetenz

    Schukajlow, S. & Leiss, D., 02.2011, In: Journal für Mathematik-Didaktik. 32, 1, p. 53-77 25 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  17. Published

    Separating Cognitive and Content Domains in Mathematical Competence

    Harks, B., Klieme, E., Hartig, J. & Leiss, D., 02.10.2014, In: Educational Assessment. 19, 4, p. 243-266 24 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  18. Published

    Set-oriented numerical computation of rotation sets

    Polotzek, K., Padberg-Gehle, K. & Oertel-Jäger, T., 01.11.2017, In: Journal of Computational Dynamics. 4, 1, p. 119-141 23 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  19. Published

    Skizzen zeichnen zu Modellierungsaufgaben: Eine Analyse themenspezifischer Differenzen einer Visualisierungsstrategie beim mathematischen Modellieren

    Bräuer, V., Leiß, D. & Schukajlow-Wasjutinski, S., 10.2021, In: Journal für Mathematik-Didaktik. 42, 2, p. 491-523 33 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  20. Published

    Special aspects of TIMSS related to mathematical education: Introduction

    Neubrand, J. & Neubrand, M., 01.12.1999, In: ZDM. 31, 6, p. 166-169 4 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  21. Published

    Spectral Early-Warning Signals for Sudden Changes in Time-Dependent Flow Patterns

    Ndour, M., Padberg-Gehle, K. & Rasmussen, M., 02.2021, In: Fluids. 6, 2, 24 p., 49.

    Research output: Journal contributionsJournal articlesResearchpeer-review