In this paper we consider the use of algebraic language in modelling and proving. We will show how a specific adaptation of Habermas' construct of rational behaviour allows to describe and interpret several kinds of students' difficulties and mistakes in a comprehensive way, provides the teacher with useful indications for the teaching of algebraic language and suggests further research developments.
TOWARDS A COMPREHENSIVE FRAME FOR THE USE OF ALGEBRAIC LANGUAGE IN MATHEMATICAL MODELLING AND PROVING
Boero, P;Morselli, F
2009-01-01
Abstract
In this paper we consider the use of algebraic language in modelling and proving. We will show how a specific adaptation of Habermas' construct of rational behaviour allows to describe and interpret several kinds of students' difficulties and mistakes in a comprehensive way, provides the teacher with useful indications for the teaching of algebraic language and suggests further research developments.
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