Development of materials for problem solving instruction in the context of lessons for promoting and improving specific mathematical competences using design-based research. (English)

Fritzlar, Torsten (ed.) et al., Problem solving in mathematics education. Proceedings of the 2015 joint 17th conference of ProMath and the 2nd GDM working group on problem solving, University of Halle-Wittenberg, Germany, September 3‒5, 2015. Münster: WTM-Verlag (ISBN 978-3-95987-012-2/pbk; 978-3-95987-013-9 /ebook). Ars Inveniendi et Dejudicandi 6, 159-172 (2016).

Summary: Teachers are continuously confronted with instructional interventions. However, often they do not get adopted for different reasons. Efforts to design, use, and do research on materials in a real setting through collaborative work between researchers and practitioners have been shown to promote adoption of innovations. In this paper we explore the possibilities for developing materials using design-based research (DBR) focusing on a systematical development of mathematical problem solving competence. At the end, we discuss some theoretical principles in accordance with DBR, which could be useful for the future development of materials relating to teaching and learning of problem solving heuristics both for the practical implementation and for further theoretical research in the area.