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Teachers’ professional learning of teaching proof and proving. (English) Zbl 1247.97016
Hanna, Gila (ed.) et al., Proof and proving in mathematics education. The 19th ICMI study. Berlin: Springer (ISBN 978-94-007-2128-9/hbk; 978-94-007-2129-6/ebook). New ICMI Study Series 15, 327-346 (2012).
Summary: This paper reviews studies on teachers’ professional learning of teaching proof and proving. From them we conceptualise three essential components of successful teaching: teachers’ knowledge of proof, proof practices and beliefs about proof. With respect to each component, we examine research studies of primary and secondary teachers. We also discuss the challenges teachers may face in teaching proof and proving, as well as teachers’ professional learning activities. Throughout, we argue that the three components are interrelated in successful teaching of proof and proving. This argument raises a new challenge for further research.
For the entire collection see [Zbl 1234.00015].
MSC:
97E50 Reasoning and proving in the mathematics classroom
97B50 Mathematics teacher education
97C70 Teaching-learning processes in mathematics education
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