In this chapter we consider students’ use of algebraic language in mathematical modeling and proving. We will show how a specific model derived from Habermas’ construct of rational behavior allows us to describe and interpret several kinds of students’ difficulties and mistakes in a comprehensive way, provides the teacher with useful indications for the students’ approach to algebraic language and suggests further research developments
Using Habermas’ theory of rationality to gain insight into students’ understanding of algebraic language
MORSELLI, FRANCESCA
2011-01-01
Abstract
In this chapter we consider students’ use of algebraic language in mathematical modeling and proving. We will show how a specific model derived from Habermas’ construct of rational behavior allows us to describe and interpret several kinds of students’ difficulties and mistakes in a comprehensive way, provides the teacher with useful indications for the students’ approach to algebraic language and suggests further research developments
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