Modelling in GeoGebra in the Context of Holistic Approach Realization in Mathematical Training of Pre-service Specialists

Abstract

In accordance with its aim, the article represents students’ modeling activity (held within inter-university projects of Kharkiv GeoGebra Institute) which resulted in the complex of GeoGebra models focused on holistic learning of Mathematics at higher school and university. Proper theoretical background for the complex design is elaborated and the stages of the students’ modeling activity are covered. The models in the developed complex are grouped in the three sections. The first group consists of the models which enable to facilitate mastering basic essential mathematical concepts (objects) by the potential trainees. The second group is focused on the realization of transdisciplinary connections between Mathematics and other subject domains. The third group embraces models which provide real-life problems solving based on the models investigation. All the groups are represented in the article along with specific examples of the models. In order to facilitate potential trainees’ personal cognitive activity that is expected by holistic education, it was elaborated procedure of cognitive activity which includes some tips on changing the parameters of the dynamic model, monitoring the results, investigating, making conclusions etc. Such a procedure is aimed to streamline understanding the essence of the concept (phenomenon). The didactic support for each model was developed by the students to involve potential trainees into the solving special problems and real-life tasks which encourage them to obtain holistic understanding of the basic concepts via special cognitive activity based on work with dynamic models. The said didactic support is characterized in the paper. The prospects of further research are outlined.