Exploring maths through problem solving

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“A valuable resource book”

Creative Problem Solving in School Mathematics

By Dr George Lenchner

Australian Edition. © 2006.

ISBN : 978-0-9757316-1-1

290 pages

$ 39.95 + postage

About The Book

This enriching book has nearly 300 pages of creative, stimulating and mentally invigorating thoughts and ideas on a multitude of teaching techniques and problem strategies for mathematics.

It extends primary school mathematics through non-routine topics such as those listed below. It has many practice examples and also has a bank of Olympiad problems and their solutions. It is a definite must for all school reference libraries and for any teacher’s personal shelves.

Each topic is explored in depth. Each point made in the book is supported by a wealth of challenging problems, with complete, detailed solutions.

The book is aimed at the teaching of problem solving to students in school Years 4 to 8, but is suitable for anyone wishing to improve their problem solving abilities.

Chapter Headings Include:
 
  • Teaching Problem Solving
  • Problem Solving Strategies
  • Number Patterns
  • Factors and Multiples
  • Tests for Divisibility
  • Fractions
  • Geometry
  • Measurement
  • Logic
  • Trains, Books, Clocks and Things
Book Sections:
 
  • Part A : Discusses techniques for teaching problem solving
  • Part B : Highlights strategies used to solve problems
  • Part C : The heart of the book. It consists of seven sections, each containing from four to eight topics. Each of the 37 model problems and their solutions lead into a detailed discussion of a concept or algorithm. Each concept then is expanded or extended, using as many as 13 wide-ranging problems. Topics include: assorted number patterns; factors and multiples; tests of divisibility; fractions; geometry and measurement; algebraic problems done without algebra; cryptarithms; logic; and Venn diagrams.
  • Part D : Solutions to Parts A and B
  • Part E : Solutions to Part C
  • Part F : Appendices including Basic Information, Angle-Measures in Polygons, Pythagorean Theorem, Working with Exponents, Divisibility Rules, Sequences and Series
  • Part G : Index

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