Mathematics Study Modules

These ten mathematics study modules, designed for an individual teacher or group of teachers, were produced by the mathematics strand of the Key Stage Three Strategy. They are intended for teachers who would like to reinforce, confirm and extend their knowledge of the Key Stage Three mathematics curriculum and to develop their teaching skills. The modules are based on a successful two-part course, Planning and teaching mathematics, that was offered to practising teachers in all LEAs. The aims of the modules were • develop teachers’ understanding of important aspects of the mathematics curriculum in Key Stage 3; • strengthen teachers’ planning and teaching of mathematics in Key Stage Three.

Module 1 Approaches to calculation Discusses the development of calculation strategies from Key Stage Two to Three to build on students’ knowledge, skills and understanding.

Module 2 Using calculators Discusses when it is and when it is not appropriate for students to use a calculator. Considers the skills that students need to use a calculator effectively and efficiently.

Module 3 Thinking about algebra Considers some stimulating activities for teaching an aspect of algebra, the simplification of algebraic expressions and how the activities can also help to develop algebraic reasoning.

Module 4 Making links in algebra Considers the development of work on sequences, functions and graphs in Key Stage Three and links across different aspects of algebra and links with other strands of the mathematics curriculum.

Module 5 Geometrical reasoning  Looks at approaches to developing students’ visualisation and geometrical reasoning skills. Considers progression towards geometric proof.

Module 6 Geometrical reasoning 2 Considers the connections between loci and constructions. 

Module 7 Ratio and proportion 1 Discusses ratio and proportion as a key mathematical idea, with applications across many aspects of Key Stage Three mathematics and in other subjects.

Module 8 Ratio and proportion 2 Considers methods for solving problems involving ratio and proportion and highlights links between ratio and proportion and enlargement and similarity.

Module 9 Using and applying mathematics Considers the nature of problem solving in Key Stage Three and the implications for planning and teaching. Discusses examples of using and applying mathematics from the Framework for teaching mathematics.

Module 10 Effective oral and mental work Considers the importance of oral and mental work in all parts of mathematics lessons and how to develop a programme of oral and mental starters.