Mathematical Action & Structures of Noticing

Studies on John Mason’s Contribution to Mathematics Education

Volume Editors: 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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The Development of Mathematical Thinking
Problem-Solving and Proof
Pages: 15–29
The Excircle Problem
A Case Study in How Mathematics Develops
Pages: 31–48
Breaking The Addition Addiction
Creating the Conditions for Knowing-to Act in Early Algebra
Pages: 121–134
Towards an Aesthetics of Education
“Yet one is that with which one concerns oneself”. (Heidegger, 1962, p. 368)
By: Alf Coles
Pages: 135–145
Spirituality and Student-Generated Examples
Shaping Teaching to Make Space for Learning Mathematics
Pages: 147–160
Lesson Play
A Vehicle for Multiple Shifts of Attention in Teaching
Pages: 161–177
Noticing
Looking Forwards and Backwards
By: Andy Begg
Pages: 203–210
Author Index
Pages: 227–229
Index
Pages: 231–233
Educational Researchers and their students
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