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Malara, N.A., Navarra, G. (2014). Generalization questions at early stages: the importance of the theory of mathematics education for teachers and pupils

Malara, N.A., Navarra, G. (2014). Generalization questions at early stages: the importance of the theory of mathematics education for teachers and pupils. In Proc 12th International Conference of The Mathematics Education into the 21st Century Project (Montenegro, sept. 2014). CD proceedings.
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We discuss the introduction of early algebra in primary school, stressing the role of the theory of mathematics education for a reconstruction of the teachers’ knowledge, awareness, beliefs and behaviors and to promote the teaching of arithmetic in a pre-algebraic perspective. We present some excerpts of classroom episodes, from experimentations carried out in collaboration with teachers, which testify the influence of new ways of teaching on the pupils’ performance.