The Really Useful Maths Book

Introduction Part 1: Mathematical Activities and Teaching Strategies N. Numbers and the number system 1. Counting and counting out 2. Saying and making numbers 3. Arabic and other number systems 4. Working with grids 5. Working with target boards 6. Working with sets 7. Working with square numbers 8. Exploring algebra 9. Taking ideas from 'floor to head' O. Operations and Calculations 1. Number lines 2. The story of 24 3. Arithmetic operations 4. Arithmogons 5. Teaching Multiplication tables 6. Divisibility rules S. Shape and space 1. Visualisation techniques and activities 2. Activities and investigations 3. Working with cloths 4. Unusual and familiar M. Measures, statistics and data handling 1. Measures and measurement 2. Data handling and using the media 3. Statistics and data handling Part 2: Developing Interactive Teaching Strategies A. What teachers need to know about interactive teaching 1. The NNS: Philosophy and structure 2. Using research to promote learning 3. The effect of resources on thinking 4. Resources for counting and calculation 5. Differentiating to maximise learning B. Teachers and children interacting to sustain learning 1. Discussing mathematical ideas 2. Questions and questioning 3. Using questions to promote discussion 4. Assessment for learning C. Children making sense of mathematics 1. Three sets of axes for thinking about practical tasks 2. Real world-focused and classroom-focused activities 3. Rule-focused and problem-focused activities 4. Fantasy-focused and reality-focused activities 5. Strategies for problem-solving D. Consolidating new ideas and developing personal qualities 1. Developing general and specific strategies with children 2. The need for a range of strategies 3. Problems with real world problems 4. Eight qualities of successful learners 5. Developing emotional intelligence 6. Building bridges for learning E, F. Consolidation and practice for accuracy, speed and fluency 1. The need for practice in different contexts 2. Errors and misconceptions in mathematics