Head and Coordination





06/2018 – 06/2022

Project MatheMat

Mathematical Learning with Materials

The project MatheMat focuses on the importance of digital and analogue materials for the mathematical learning of primary school children.

The project MatheMat (Mathematical Learning with Materials) focuses on the compatibility between analogously and digitally designed materials on the one hand and mathematical learning by learners in heterogeneous learning groups on the other hand.

Mathematical learning environments are designed to identify this compatibility. Mathematical learning environments offer learners a learning and exploring space in which they can become mathematically active. Children are given an individual access to mathematical content at different learning levels. For the comparative approach, the material characteristics in the learning environments are differentiated analogously or digitally while maintaining the same mathematical and learning structure.

The theoretical and empirical scope of action of the material is worked out by qualitative analyses of the conceived analogue and digital materials as well as the material actions of the children.

The comparison of empirical and theoretical scope of action shows the compatibility between the educationally prepared material and the learner. These results can be used by teachers to design mathematical learning processes for heterogeneous learning groups.


Selected Publications

  • Billion, L. (2018). Mathematical Learning Processes with Varying Types of Material Conditioning. In E. Bergqvist, M. Österholm, C. Granberg, & L. Sumpter (Hrsg.), Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education, 5, 207. Umeå, Sweden: PME.
  • Billion, L. & Vogel, R. (2019). Rekonstruktion mathematischer Konzepte als Ausgangspunkt für die Identifikation von Potentialen unterschiedlich medial gestalteter Materialien. In Beiträge zum Mathematikunterricht. Münster: WTM-Verlag (in Druck).