Billiards as an applied subject matter of learning mathematics through mathematical investigations: in-depth look in a design research study. (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, 103-112 (2016).

Summary: Students’ learning problem solving needs, among others, excellent interconnected learning environments, which are based on scientific findings. The article presents one example how billiards can support mathematical investigations in an application-oriented workshop in the topic inner product of two vectors. A well-founded classroom research is characterized by a reality-oriented research methodology. Therefore the article focuses on the design based research methodology in the selected mathematic example. With this method learning environments can be developed and evaluated with a scientific claim.