Mathematical Action & Structures of Noticing

Studies on John Mason’s Contribution to Mathematics Education

Volume Editor: and
John Mason has been a prominent figure in the research field of mathematics education for several decades. His principal focus has been thinking about mathematical problems, supporting those who wish to foster and sustain their own thinking and the thinking of others.
Among the many markers of his esteemed career was the 1984 publication of Thinking Mathematically (with Leone Burton and Kaye Stacey). It has become a classic in the field, having been translated into many languages and in use in countries around the world. Thinking Mathematically and other writings in his substantial body of work are used with advanced high school students, with pre-service and practicing teachers, and by researchers who are interested in the nature of doing and learning mathematics.
This book is not, and at the same time is, a tribute to the enormous contributions made by Mason to mathematics education. It is not a tribute book because every chapter is a report of research and thinking by the authors, not simply a statement of appreciation. All engage with how others have taken Mason’s ideas forward to extend their own research and thinking. At the same time it is a tribute book. It is about how research and teaching has been inspired by Mason through his substantial opus and his vibrant presence in a network of mathematics educators.

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Preliminary Material
著者: Stephen Lerman and Brent Davis
页码: i–viii
The Development of Mathematical Thinking
Problem-Solving and Proof
著者: David Tall
页码: 15–29
The Excircle Problem
A Case Study in How Mathematics Develops
著者: Derek Holton, Michael Thomas, and Anthony Harradine
页码: 31–48
Just Enjoying The Mathematics
著者: Tim Rowland
页码: 49–61
Towards a Curriculum in Terms of Awareness
著者: Dave Hewitt
页码: 85–100
Abstraction Beyond a Delicate Shift of Attention
著者: Tommy Dreyfus and John Monaghan
页码: 101–110
Breaking The Addition Addiction
Creating the Conditions for Knowing-to Act in Early Algebra
页码: 121–134
Towards an Aesthetics of Education
“Yet one is that with which one concerns oneself”. (Heidegger, 1962, p. 368)
著者: Alf Coles
页码: 135–145
Spirituality and Student-Generated Examples
Shaping Teaching to Make Space for Learning Mathematics
著者: Laurinda Brown
页码: 147–160
Lesson Play
A Vehicle for Multiple Shifts of Attention in Teaching
著者: Rina Zazkis, Nathalie Sinclair, and Peter Liljedahl
页码: 161–177
Analyzing and selecting Tasks for Mathematics Teaching
A Heuristic
页码: 179–188
Cultures of Generality and Their Associated Pedagogies
著者: David Pimm and Nathalie Sinclair
页码: 189–202
Noticing
Looking Forwards and Backwards
著者: Andy Begg
页码: 203–210
Contributors and Acknowledgments
著者: Stephen Lerman and Brent Davis
页码: 223–226
Author Index
著者: Stephen Lerman and Brent Davis
页码: 227–229
Index
著者: Stephen Lerman and Brent Davis
页码: 231–233
Educational Researchers and their students
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