1,721,068 research outputs found
PROVING AS A RATIONAL BEHAVIOUR: HABERMAS' CONSTRUCT OF RATIONALITY AS A COMPREHENSIVE FRAME FOR RESEARCH ON THE TEACHING AND LEARNING OF PROOF
No full textIn this paper we draw from Habermas' construct of rational behaviour a construct for rationality in proving that we propose as suitable to investigate the teaching and learning of proof and generate new research developments. At first, we discuss our conception of the proving process, where cognitive and cultural aspects are shown to play a crucial role, and we present our adaptation of Habermas' construct as a way of taking into account both cognitive and cultural aspects. The adapted construct is shown to be useful in the discussion of some examples at tertiary level; finally, drawing from the analysis of the examples, we indicate some research questions ( formulated in terms of the theoretical construct) that we feel worth to be explored
THE USE OF ALGEBRAIC LANGUAGE IN MATHEMATICAL MODELLING AND PROVING IN THE PERSPECTIVE OF HABERMAS' THEORY OF RATIONALITY
No full textIn this paper we consider the use of algebraic language in modelling and proving. We will show how a specific model of rational behaviour derived from Habermas' elaboration 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
No full textIn 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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