Mathematical Problem Solving: Yearbook 2009, Association of Mathematics Educators

by Kaur, Berinderjeet; Har, Yeap Ban; Kapur, Manu

• ISBN13: 9789814277204
• ISBN10: 9814277207
• Format: Hardcover
• Copyright: 2009-07-31
• Publisher: World Scientific Pub Co Inc

Summary

This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book, illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies. The thirteen chapters of the book illustrate how mathematical problems may be crafted and infused in classroom teaching. Several novel pedagogies, such as learning mathematics through productive failure, problem posing and generative activities are presented in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers of mathematics. The book is an invaluable contribution towards the already established field of research of mathematical problem solving. It is also a must read for graduate research students and mathematics educators.

Table of Contents

Introduction	p. 1
Mathematical Problem Solving in Singapore Schools	p. 3
The Processes and Pedagogies	p. 15
Tasks and Pedagogies that Facilitate Mathematical Problem Solving	p. 17
Learning through Productive Failure in Mathematical Problem Solving	p. 43
Note Taking as Deliberate Pedagogy: Scaffolding Problem Solving Learning	p. 69
Japanese Approach to Teaching Mathematics via Problem Solving	p. 89
Mathematical Problem Posing in Singapore Primary Schools	p. 102
Solving Mathematical Problems by Investigation	p. 117
Generative Activities in Singapore (GenSing): Pedagogy and Practice in Mathematics Classrooms	p. 136
Mathematical Modelling and Real Life Problem Solving	p. 159
Mathematical Problems and Tasks	p. 183
Using Innovation Techniques to Generate 'New' Problems	p. 185
Mathematical Problems for the Secondary Classroom	p. 208
Integrating Open-Ended Problems in the Lower Secondary Mathematics Lesson	p. 226
Arousing Students' Curiosity and Mathematical Problem Solving	p. 241
Future Directions	p. 263
Moving beyond the Pedagogy of Mathematics: Foregrounding Epistemological Concerns	p. 265
Contributing Authors	p. 272
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