Learning objectives
Knowledge and study of the main current trends in Mathematics teaching. <br />
To put future teachers in a position to analyse, before and after, the processes of transmission of the different contents of Mathematics and of the relative phenomena of learning and teaching. <br />
Course unit content
<p> Evolution of Mathematics teaching as a science <br />
Teaching-learning models with particular reference to transmissive, behaviourist and socio-constructivist models. <br />
Theory of situations (according to Brousseau). Didactic transposition: from “scholarly” knowledge to taught knowledge <br />
The Conceptual Fields theory. <br />
Student/teacher interaction: the learning contract. <br />
Student/knowledge interaction: obstacles and errors. The role of history in Didactic of Mathematics. Special reference will be made to the difficulties connected with teaching algebraic concepts. Duval's theory of registers of semiotic representation. The Witmann's theory SLE and the Hejny's genericals models . Applications of learning models to derivative concept. <br />
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Bibliography
G.Brousseau, Théorie des situations didactiques, La pensée Sauvage, Grenoble. <br />
J.Brun, Didactique des mathématique, Delachaux et Niestlé, Lausanne. <br />
F.Arzarello, L.Bazzini, G.Chiappini, L'algebra come strumento di pensiero, progetto strategico del CNR, Quaderno n. 6, 1994. <br />
E.Fischbein, G.Vergnaud, Matematica a scuola: teorie ed esperienze, Pitagora, Bologna. <br />
B.D'Amore, Elementi di Didattica della Matematica, Pitagora, Bologna. <br />
L.Grugnetti, V.Villani, la matematica dalla scuola materna alla maturità, Pitagora, Bologna. <br />
International handbook of mathematics education, Kluver academic Publishers. <br />
H.Freudenthal, ripensando l'educazione matematica, La Scuola, Brescia. <br />
Teaching methods
Oral exam and practical test. <br />
<br />
Classroom Lectures and interactive lessons. Analysis of particular teaching situations and activities. Design and experimentation of a specific teaching intervention carried out. <br />
