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Aktuelle Kontaktdaten

Prof. Dr. Hartmann, Mutfried

Professor für Mathematik und ihre Didaktik; Fakultät für Natur- und Sozialwissenschaften - Institut für Mathematik
Icon fuer AdresseAnschrift:
Pädagogische Hochschule Karlsruhe
Bismarckstraße 10
76133 Karlsruhe


Icon Mail Mutfried.hartmann[at]ph-karlsruhe.de

Projekte

• (!) Sonstiges, nicht gelistetes Institut
Projekt-ID:180
Entwicklungsvorhaben
abgeschlossen

InDiKo: Nachhaltige Integration von fachdidaktischen digitalen Lehr-Lern-Konzepten an der Pädagogischen Hochschule Karlsruhe
Fakultät für Natur- und Sozialwissenschaften • Institut für Mathematik
Projekt-ID:102
Forschungsprojekt
abgeschlossen

Apps im Mathematikunterricht
Projekt-ID:110
Dissertation
abgeschlossen

Längenkonzept von Kindergartenkindern

Publikationen

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ArtikelOnlinePeer ReviewEnglisch

Analysis of the Relationship between Creativity in Fermi Problems Measured by Applying Information Theory, Creativity in Psychology, and Mathematical Creativity.

Okamoto, H., Hartmann, M. & Kawasaki, T. (2023). Analysis of the Relationship between Creativity in Fermi Problems Measured by Applying Information Theory, Creativity in Psychology, and Mathematical Creativity. Education Sciences, 2023(13(3)).

  • Linkdoi.org/10.3390/...
  • StichworteFermi problems; creativity in psychology; mathematical creativity; information theory
Abstract
Many educational institutions demand the development of creativity. However, it is still insufficient for encouraging creative work or thinking. One reason is the lack of simple tools to measure creativity in schools. This study focused on Fermi problems to solve the reason for this issue. Fermi problems have been suggested to be deeply related to creativity. However, few empirical studies have been conducted on their relationship. Therefore, this study conducted a survey and analyzed them by structural equation modeling. The results showed a moderate correlation between creativity in Fermi problems and creativity in psychology (r = 0.47, p < 0.01). Additionally, it was shown that there is a strong correlation between creativity in Fermi problems and mathematical creativity (r = 0.76, p < 0.01). Furthermore, regression analysis showed that creativity in Fermi problems is an important factor for measuring creativity in psychology and mathematical creativity.
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ArtikelOnlinePeer ReviewPrintEnglisch

Work-In-Progress—A Virtual Reality Application for Learning Geometry

Tahiri, Y., Hartmann, M., Borys, T. & Maier, D. (2023). Work-In-Progress—A Virtual Reality Application for Learning Geometry. Immersive Learning Research - Academic, 2023(1(1)), 67-72.

Abstract
Dynamic geometry software makes it possible to manipulate and adapt geometric constructions. This enables an extended exploration of geometric relationships. This can improve the understanding of geometry. However, this software is often difficult to use and there are only few applications in the field of Mixed Reality, thus disregarding possible advantages such as an improved spatial perception in virtual space. For this reason, this Work-In-Progress presents a VR application that can be used to create geometric constructions. It is described how criteria of intuitive usage and functions of dynamic geometry software are used to simplify the usage and to use the advantages of Mixed Reality.
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