... a coherent approach to proof and proving in the elementary mathematics classroom, including a framework for conceptualising mathematical proof and proving activities, a categorisation of tasks that may be linked with qualitative different opportunities for the students to be engaged in proof and proving, and a discussion about the role of the teacher. Importantly, [the author] orchestrates the theoretical discussion of these topics with a well-structured analysis of illustrative examples... "Proving in the Elementary Mathematics Classroom", at the very least, opens a fascinating discussion about explicitly communicating and practising that proof is taught and learned within the elementary mathematics classroom.

Andreas Moutsios-Rentzos, Educational Studies in Mathematics

[F]or many dedicated primary teachers who want to understand and want their pupils to understand, [the book] is a great start to the concept of proof.

N. G. Macleod, Mathematics in School

Anyone teaching a methods course for preservice elementary teachers would find this book a good source of proving tasks/activities, together with actual children's words and work

Annie Selden, MAA Reviews

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 addresses what it would take to elevate the place of proving at elementary school. The book uses classroom episodes from two countries to examine different kinds of proving tasks and the proving activity they can generate in the elementary classroom. It examines further the role of teachers in mediating the relationship between proving tasks and proving activity, including major mathematical and pedagogical issues that arise for teachers as they implement each kind of proving task. In addition to its contribution to research knowledge, the book has important implications for teaching, curricular resources, and teacher education.
Les mer
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.
Les mer
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
Les mer
This book addresses how to elevate the place of proving as a sense-making activity in elementary/primary school mathematics. The book uses real classroom examples from the UK and US to examine different kinds of proving tasks and the activity they can generate in the classroom Bridges academic work on the teaching/learning of proving and work on task design/implementation Identifies different kinds of proving tasks that can support a rounded set of learning experiences for students Discusses mathematical and pedagogical issues that might arise for elementary teachers during proving implementation
Les mer
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."
Les mer
This book addresses how to elevate the place of proving as a sense-making activity in elementary/primary school mathematics. The book uses real classroom examples from the UK and US to examine different kinds of proving tasks and the activity they can generate in the classroom Bridges academic work on the teaching/learning of proving and work on task design/implementation Identifies different kinds of proving tasks that can support a rounded set of learning experiences for students Discusses mathematical and pedagogical issues that might arise for elementary teachers during proving implementation
Les mer

Produktdetaljer

ISBN
9780198723066
Publisert
2016
Utgiver
Vendor
Oxford University Press
Vekt
484 gr
Høyde
240 mm
Bredde
160 mm
Dybde
15 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
208

Biografisk notat

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."