ABSTRACT

All pupils - able children included - need to be taught strategies to enable their thinking skills to progress. They also need help with developing different approaches to problem solving. A sustained piece of work that requires perseverance, logical strategies, and refinement of method and extension of the original task is not the same as a straightforward quick-fix type problem. Both types of problem solving need to be taught. This book presents a series of activities that can be used with whole classes to provide a curriculum for the teaching of problem solving and the development of thinking skills. Each tried and tested investigation is clearly explained with ideas on how to introduce the task to a class, full solutions and resource sheets.

Activities include prisoners: a fun way of generating square numbers; handshakes: exploring arithmetic progressions; T-shape: an activity to lead pupils from numerical calculations to algebraic generalizations; frogs: encouraging systematic working and listing; and opposite corners: an advanced piece of work for independent learners.

chapter |3 pages

Introduction

chapter |3 pages

Prisoners

chapter |6 pages

Handshakes

chapter |3 pages

Worms

chapter |10 pages

4. T-shape

chapter |7 pages

Pond Borders

chapter |3 pages

Rotten Apples

chapter |6 pages

7 Pilot

chapter |5 pages

Painted Cube

chapter |7 pages

Frogs I

chapter |9 pages

Frogs Ii

chapter |10 pages

Opposite Corners