Exploring the cognitive dimension of teaching mathematics through scheme-oriented approach to education

Abstract

Similarly to H. Freudenthal, E.

Fischbein and many other mathematics educators, we consider the main way to improve the teaching of mathematics to lie in the change of a teacher's educational style towards the development of pupils' creativity and intellectual autonomy. In our interpretation, it means towards scheme-oriented education based on the theory of generic models which is briefly described.

On the basis of these ideas, the tool for the analysis of a teacher's teaching style is developed. The tool and its application is described in Jirotková's article in this issue.

Keywords

• quality of teaching mathematics
• a teacher’s pedagogical belief
• scheme-oriented education
• theory of generic models
• reflection, teaching style
• transmission and constructivist educational styles
• goals of mathematics teaching