Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book examinines what it would take to elevate the place of proving at elementary school.
Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book examinines what it would take to elevate the place of proving at elementary school.
Andreas J. Stylianides is a Reader in Mathematics Education at the University of Cambridge. Previously he held an academic fellowship at the University of Oxford and, before that, a postdoctoral fellowship at the University of California-Berkeley. A Fulbright scholar, he received MSc degrees in mathematics and mathematics education, and then his PhD in mathematics education, at the University of Michigan. He was the Deputy Editor of the International Journal of Educational Research, and he has served on the editorial boards of Research in Mathematics Education and Science and Education. He received an American Educational Research Association publication award for his 2007 article "Proof and Proving in School Mathematics."
Inhaltsangabe
1: Introduction 2: The importance and meaning of proving, and the role of mathematics tasks 3: The set-up of the investigation 4: Proving tasks with ambiguous conditions 5: Proving tasks involving a single case 6: Proving tasks involving multiple but finitely many cases 7: Proving tasks involving infinitely many cases 8: Conclusion
1: Introduction 2: The importance and meaning of proving, and the role of mathematics tasks 3: The set-up of the investigation 4: Proving tasks with ambiguous conditions 5: Proving tasks involving a single case 6: Proving tasks involving multiple but finitely many cases 7: Proving tasks involving infinitely many cases 8: Conclusion
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