APSMO Resources




    Maths Olympiad Contest Problems (MOCP) | MOCP Vol II | Creative Problem Solving | Past APSMO Papers | Ordering Details


Maths Olympiad Contest Problems

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MATHS OLYMPIAD CONTEST PROBLEMS
by Dr George Lenchner
(Australian Edition. 2005. Reprinted with corrections 2008.)


285 pages
ISBN : 978-0-9757316-0-4


Contains APSMO Maths Olympiad questions prior to 1996.

"A treasure of non-routine problems for primary and junior secondary students"

A valuable resource for teachers or parents who want to give more non-routine problem solving experiences to their children.

An important resource in school libraries or in the personal library of any student.


The text has been completely revised with modifications specific to Australian education

The book contains:

  • a rich variety of problems with multiple solution methods
  • general advice on problem solving illustrating the use of various problem solving strategies with sample problems and their solutions.
  • 80 Olympiads, each of five problems, designed for interschool competitions, specifically the Mathematical Olympiads
  • Answers, Hints and Solutions. Often, more than one method of solution is shown.

The author, Dr George Lenchner, brings to this book over forty years of experience. He believes that problems should:

  • stimulate children’s interest and enthusiasm for problem solving in mathematics;
  • broaden their mathematical intuition and develop their “brain power”;
  • introduce them to interesting and important mathematical ideas;
  • provide opportunities to experience the fun, pleasure, and thrill of discovery associated with creative problem solving.

Teachers’ Comments

    "The children and I had a very successful year figuring ways to solve problems. It was fun and challenging . . .We’re doing it again next year."

    "Praise for the problem writers. How you manage to squeeze so much logic and thought provoking into so few words is a real talent."

PRICE:

    $39.95 plus postage and handling

    (N.B.: All prices are in Australian dollars)


    Maths Olympiad Contest Problems (MOCP) | MOCP Vol II | Creative Problem Solving | Past APSMO Papers | Ordering Details


Maths Olympiad Contest Problems Volume 2

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MATHS OLYMPIAD CONTEST PROBLEMS Volume 2
(Australian Edition. 2008.)
Editors : R. Kalman, J. Phegan, A. Prescott


320 pages
ISBN : 978-0-9757316-2-8

Contains APSMO Maths Olympiad questions from 1996 to 2005.

The second volume of APSMO Maths Olympiad Contest problems

A valuable resource for teachers and students alike

The text has been completely revised with modifications specific to Australian education


The book contains:

  • 425 Problems from the APSMO Olypmiads held between 1996 and 2005
  • 50 Primary School (Division J) Olympiad Papers
  • 35 High School Challenge (Division S) Olympiad Papers
  • Step-by-step solutions to all problems
  • Hints and strategies
  • Multiple solutions for most problems
  • Extension questions for many of the problems
  • An index of problems by type
  • A thorough handbook for Teachers/PICOs
  • A rich study guide for students

PRICE:

    $39.95 plus postage and handling

    (N.B.: All prices are in Australian dollars)


    Maths Olympiad Contest Problems (MOCP) | MOCP Vol II | Creative Problem Solving | Past APSMO Papers | Ordering Details



Creative Problem Solving In School Mathematics

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CREATIVE PROBLEM SOLVING IN SCHOOL MATHEMATICS
by Dr George Lenchner
(Australian Edition. 2006. Reprinted with corrections 2010.)


290 pages
ISBN : 978-0-9757316-1-1

"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.

The text was completely rewritten by Dr Lenchner in 2005.
The Australian Edition has been modified to suit Australian education.

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

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.

It is organised into several 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 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 : Appendicies including Basic Information, Angle-Measures in Polygons, Pythagorean Theorem, Working with Exponents, Divisibility Rules, Sequences and Series
  • Part G : Index

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


PRICE:

    $39.95 plus postage and handling

    (N.B.: All prices are in Australian dollars)


    Maths Olympiad Contest Problems (MOCP) | MOCP Vol II | Creative Problem Solving | Past APSMO Papers | Ordering Details


Past Olympiad Contest Problems

PAST OLYMPIAD CONTEST PROBLEMS

** available to teachers of schools registered in the 2010 APSMO Olympiads only **

Complete year sets, from 1996 to 2009, each containing 5 Olympiads with Answers and Solutions

PRICES:
    Australia - $5.50 per year set (including postage and handling)
    New Zealand - $5.50 per year set (including postage and handling)

    (N.B.: All payments must be in Australian dollars)


    Maths Olympiad Contest Problems (MOCP) | MOCP Vol II | Creative Problem Solving | Past APSMO Papers | Ordering Details



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  • TO ORDER
      Use our Secure Online Order Form.

      OR

      Send cheque/money order, the name of the product, and your name and address to:

        APSMO Inc
        PO Box 629
        WAHROONGA NSW 2076
        AUSTRALIA


      NOTE : Schools may send an official order form to the above address or fax to (02) 9114 9233. A Tax Invoice will be supplied.

      Australasian Problem Solving Mathematical Olympiads (APSMO) Inc
      ABN : 25 097 230 949