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Multiple proofs and in-service teachers’ training. (English)
Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of the European Society of Research in Mathematics Education, Antalya, Turkey, February 6‒10, 2013. Ankara: Middle East Technical University (ISBN 978-975-429-315-9). 156-165 (2013).
Summary: This paper discusses a possibility to use interconnecting ‘proof problems that allow multiple solutions for teachers’ professional development. Groups of teachers, which consisted of practitioners from various K‒12 grade levels, were asked to produce several proofs of a given statement. I present a sampling of these proofs, which includes approaches and ways of reasoning specific for each grade level. Moments of teachers’ collaboration and mutual influence are highlighted. This training method gives the participants an opportunity to make deeper mathematical connections as well as to understand better the culture of proof as a developing process along the entire mathematics curriculum across all grades.
Classification: E59 D39 D49
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