# National Strategies Secondary Maths Collection - CPD Modules

#### TES Secondary maths resource collections

Collection Author: Craig Barton - Maths AST and creator of www.mrbartonmaths.com (TES Name: mrbartonmaths)

These mathematics study modules are intended for teachers who would like to reinforce, confirm and extend their knowledge of the Key Stage 3 mathematics curriculum and to develop their teaching skills.

The aims of the module are to:

• develop teachers’ understanding of important aspects of the mathematics curriculum at Key Stage 3
• strengthen teachers’ planning and teaching of mathematics at Key Stage 3

Module 1: Approaches to calculation

• Discusses the development of calculation from Key Stage 2 to Key Stage 3 to build on pupils’ knowledge, skills and understanding. It also considers teaching methods to support the development of calculation strategies, using subtraction as a focus.

Module 2: Using calculators

• This module discusses when it is and is not appropriate for pupils to use a calculator. It considers the skills that pupils need to use a calculator effectively and efficiently and discusses the progression of calculator skills and the implications for teaching.

• This module considers some stimulating activities for teaching an aspect of algebra, the simplification of algebraic expressions. It discusses how the activities can also help to develop algebraic reasoning and considers how the activities might be incorporated in mathematics lessons.

Module 4: Making links in algebra

• In this module, you can explore the development of work on sequences, functions and graphs in Key Stage 3 and how they link across different aspects of algebra and with other strands of the mathematics curriculum. You can also see how the use of challenging activities can help develop pupils’ algebraic reasoning and the use of algebra in solving problems.

Module 5: Geometrical reasoning 1

• In this module, you can examine approaches to developing pupils’ visualisation and geometrical reasoning skills and consider progression towards geometric proof.

Module 6: Geometrical reasoning 2

• In this module, you can investigate the connections between loci and constructions. You can also explore a range of activities and resources to develop pupils’ visual and geometrical reasoning skills.

Module 7: Ratio and proportion 1

• In this module, you can look at ratio and proportion as a key mathematical idea, with its applications across many aspects of Key Stage 3 mathematics and other subjects. You will also be able to explore approaches to the teaching of ratio and proportion.

Module 8: Ratio and proportion 2

• In this module, you can appraise various methods for solving problems involving ratio and proportion and see how mathematical problems and methods can be simplified or made more challenging to meet the needs of different pupils. The module highlights links between ratio and proportion and enlargement and similarity.

Module 9: Mathematical processes and applications

• In this module, you can examine the nature of problem solving in Key Stage 3 and it’s implications for planning and teaching. You can also see examples of tasks that support the teaching of mathematical processes and applications and consider types of questions that will engage pupils in problem solving and probe their understanding.

Module 10: Effective oral and mental work

• In this module, you can evaluate the importance of oral and mental work in all parts of mathematics lessons and explore ways of incorporating this work into your own teaching.