Developing new Representations and Mathematical Models in a Computational Learning Environment
N. Mousoulides, and G. Philippou. Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education, page 1061-1070. (2005)
In this study, we explore the relationship between the learners' visualisations, actions and the environment in which these are articulated. ToonTalk is a visual programming microworld, designed to help students construct mathematical
meanings by linking their actions with multiple representations and with the mediation of programming to build structures and relations. Through a case study of two students interacting with ToonTalk and WebReports, we illustrate a view of
mathematics learning which places at its core the medium of expression, and the building of connections between different modes of representations to discover the related mathematical concepts.