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MAKING MATHEMATICS PRACTICAL

An Approach To Problem Solving

By: TOH TIN LAM

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Hardcover | 8 March 2011

At a Glance

Hardcover
164 Pages

Dimensions(cm)
22.86 x 15.24 x 1.12

Hardcover

$122.75

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This book is the first of its kind, as it includes both mathematics content and pedagogy. It is a professional instructional manual on how mathematical problem solving curriculum can be implemented in the classrooms. The book develops from the theoretical work of Polya and Schoenfeld, and explicates how these can be translated to the actual implementation in schools. It represents the work of a group of researchers from the Singapore National Institute of Education, after experimenting with it in the Singapore school classrooms.This book includes a set of scheme of work, lesson plans and a choice of mathematics problems that teachers can actually use in teaching problem solving. Certain pedagogical considerations are developed and suggested in this book. In addition, the book includes an assessment framework on how mathematical problem solving can be assessed.

Industry Reviews

Sometimes there is no substitute for grinding away at a concept. That is what often must be done in mathematical problem solving. Repeating the basic tactics of problem solving for different problems is a necessity and this book contains all the necessary details. -- MAA Reviews "MAA Reviews"

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You Can Find This Book In

Non-Fiction Education Teaching of a Specific Subject Reference, Information & Interdisciplinary Subjects Research & Information Decision Theory Schools & Pre-Schools Secondary Schools Mathematics History of Mathematics Philosophy of Mathematics Booktopia Publisher Services

World Scientific Publishing

Preface	p. v
Mathematical Problem Solving	p. 1
Introduction	p. 1
Polya's Model of Problem Solving	p. 2
Focusing with Schoenfeld's Framework	p. 12
The Practical Paradigm	p. 17
Evolution of Problem Solving Instruction	p. 17
Choosing Problems for the Mathematics Practical	p. 20
Scaffolding in the Mathematics Practical	p. 21
Assessment of the Practical Worksheet	p. 22
References	p. 24
Scheme of Work and Assessment of the Mathematics Practical	p. 27
Scheme of Work	p. 27
Assessment Structure	p. 38
Detailed Lesson Plans	p. 39
Introduction	p. 39
What is a Problem?	p. 40
What is a Problem?	p. 43
Using Heuristics to Understand the Problem	p. 46
Using Heuristics for a Plan	p. 49
The Mathematics Practical	p. 51
Check and Expand	p. 55
More on Adapting, Extending and Generalising	p. 58
Schoenfeld's Framework	p. 61
More on Control	p. 65
Revision	p. 68
Scaffolding Suggestions, Solutions to the Problems and Assessment Notes	p. 71
Introduction	p. 71
Jugs	p. 72
Last Digit	p. 76
Last Digit II	p. 79
Phoney Russian Roulette	p. 82
4-D Coincidence	p. 86
Same Last Digit	p. 89
Tying a Shoelace	p. 93
Lockers	p. 97
Number of Squares	p. 102
Modulus Function	p. 106
Binary Representation	p. 110
Weights	p. 113
Averages	p. 117
Intersection of Two Squares	p. 121
Regions in a Circle	p. 125
Nice Numbers I	p. 129
Nice Numbers II	p. 133
The Mathematics Practical Worksheet	p. 137
Sample of student's Work	p. 143
Rubrics for Assessment	p. 151
Table of Contents provided by Ingram. All Rights Reserved.

MAKING MATHEMATICS PRACTICAL

An Approach To Problem Solving

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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