Exploring the design and impact of online exercises for teacher training about dynamic models in mathematics

The potential of software tools to support learning mathematics is widely acknowledged, but their use can be hindered for many reasons. When teaching future mathematics teachers, we observed that these students were unmotivated to use such tools. This lack of motivation was caused by two concerns held by the students. Firstly, expected difficulty with the software interface (‘handling equations with computer interfaces is cumbersome’) and secondly, having to do time-consuming exercises on top of the regular pen-and-paper material. To circumvent these concerns, we developed and deployed a set of exercises, categorized in seven different types, that required little effort in terms of equation ‘writing’ with the computer interface but still covered the core mathematical principles taught in the lessons. To allow for sufficient training opportunities, the software automatically created new randomized versions of the same question type. In this paper, we present an exploratory study that discusses the potential of this approach and provides insight on the effectiveness of question types used