This pack has been written in response to requests from teachers for resources to enhance mathematical problem solving and, particularly, for making provision for mathematically very able learners.

Over 260 problems to solve (Photocopiable pages – CD-ROM included).

105 pages

**Authors: Valsa Koshy, Director of Brunel University’s Centre for Gifted Education **

It provides a set of problem solving activities which should enable children to appreciate the beauty and creativity of mathematics, whilst also appreciating that problem solving can enhance confidence and develop more positive attitudes to the learning of mathematics. Large numbers of teachers have found them to be very effective and enjoyable with children of all abilities.

**Problem Solving Skills**

The role of Problem Solving, as an integral part of the learning and teaching of mathematics, has been cited in all official documents for decades. National and standardised tests that schools use to assess children’s mathematical learning require children to solve problems, both to test mathematical content and the skills of thinking mathematically.

This pack of problems emphasises that problem solving:

- is an intellectual activity, involving the pursuit of solutions to problems, which is highly satisfying and stimulating
- requires logic, reasoning and systematic working
- provides a strong framework in which some key skills, learnt in the context of mathematics, transfer to other learning
- provides a natural context for training children to apply mathematics
- can help to develop children’s tenacity and confidence in doing mathematics and is often described by brain function researchers as a helpful strategy to enhance children’s general capacity for learning.

**The pack includes**

**An introduction** which explains the process of problem solving with examples of the types of problems and how to use the pack. The contents of this section may be useful for leading an in-service session on problem solving. A list of helpful problem solving strategies is provided for children to use. (See explanatory list on page 3).

**Sets of Problems** are marked A, B and C to indicate the level of complexity – problems in section A being simpler, B more challenging and those under C being much more complex, requiring longer time and greater content knowledge and skills. Two sets of Multiple Choice questions are also included.

**Solutions **to all the problems are given at the back of the book. A certificate template is also provided.

For more detailed information, download our 'Mathematical Challenges: Developing Problem Solving Skills' flyer.