Creative Problem Solving in School Mathematics
by Dr George Lenchner
Australian Edition. © 2006.
ISBN : 978-0-9757316-1-1
290 pages. $39.95 plus postage.
This Book has a New Cover - View the Original Book Cover
"A most valuable resource 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.
Chapter Headings Include:
- Teaching Problem Solving
- Problem Solving Strategies
- Number Patterns
- Factors and Multiples
- Tests for Divisibility
- Trains, Books, Clocks and Things
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.
- 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 its solution leads 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