Characterization of an Ordinary Teaching Practice with the Help of the Theory of Didactic Situations

In this paper, we use the theory of didactic situations to characterize a mathematics teaching practice, currently used in secondary schools in France, which we have called interactive synthesis discussion. We have studied this practice in ordinary classes, i.e. classes where the researcher intervenes neither in the preparation nor in the management of the lessons. We have looked at the didactic situations the teacher chooses, and how he manages his teaching project, the students’ work in the classroom and at home, and classroom interactions. We present two case studies of experienced teachers, one in grade 8, and the other in grade 10.

[1]  H. Magali.  Caractérisation d’une pratique d’enseignement des mathématiques : le cours dialogué , 2004 .

[2]  Anna Sierpinska,et al.  Language and Communication in the Mathematics Classroom. , 1998 .

[3]  Claire Margolinas.  La structuration du milieu et ses apports dans l'analyse a posteriori des situations , 1995 .

[4]  Heinz Steinbring.  L'indépendance stochastique , 1986 .

[5]  Guy Brousseau,et al.  Theory of Didactical Situations in Mathematics: Didactique des Mathématiques, 1970-1990 , 2014 .

[6]  M. Hersant,et al.  Milieu et contrat didactique: outils pour l'analyse de séquences ordinaires , 2003 .

[7]  Maria Giuseppina Bartolini,et al.  Theoretical and Empirical Approaches To Classroom Interaction , 1994 .

[8]  M. Wittrock.  Handbook of research on teaching , 1986 .

[9]  M. Hersant.  Interactions didactiques et pratiques d'enseignement, le cas de la proportionnalité au collège , 2001 .

[10]  Marie-Hélène Salin,et al.  13. Pratiques ostensives des enseignants , 1999 .

[11]  Michele Artigue,et al.  Didactic Engineering, Research and Development Tool: Some Theoretical Problems Linked to This Duality. , 1991 .

[12]  John Mason,et al.  Learning Mathematics through Conversation: Is It as Good as They Say?. , 1998 .

[13]  Guy Brousseau,et al.  Rôle de la mémoire didactique de l'enseignant , 1991 .

[14]  Götz Krummheuer.  Mathematics Learning in Narrative Classroom Cultures: Studies of Argumentation in Primary Mathematics Education. , 2000 .

[15]  Yves Chevallard,et al.  Concepts fondamentaux de la didactique : perspectives apportées par une approche anthropologique , 1991 .

[16]  N. Balacheff.  Processus de preuve et situations de validation , 1987 .

[17]  G. Brousseau.  Theory of didactical situations in mathematics , 1997 .

[18]  Y. Chevallard.  L'analyse des pratiques enseignantes en théorie anthropologique du didactique , 1999 .