Using Habermas\u2019 theory of rationality to gain insight into students\u2019 understanding of algebraic language

In this chapter we consider students\u2019 use of algebraic language in mathematical modeling and proving. We will show how a specific model derived from Habermas\u2019 construct of rational behavior allows us to describe and interpret several kinds of students\u2019 difficulties and mistakes in a comprehensive way, provides the teacher with useful indications for the students\u2019 approach to algebraic language and suggests further research development