Learning to solve problems is now considered to be one of the main reasons for doing mathematics. Many teachers now have considerable experience of using a wide range of problems with their classes and it is widely acknowledged that a balanced approach to teaching mathematics will include problems that make students think, as well as exercises to help them polish algorithmic skills. The authors believe that successful problem solving involves the following strategies and good habits:
practising solving non-routine problems;
developing good problem-solving habits;
learning to use problem solving strategies, and;
thinking about and discussing these experiences
In Strategies for Problem Solving some of these strategies and good habits are explored systematically by building on the experience of tackling intriguing questions.