Tony Brown e Henry Liebling
link (password: matav)
1ª edição - 2005
The Really Useful Maths Book is for all those who want children to enjoy the challenge of learning mathematics. With suggestions about the best ways to use resources and equipment to support learning, it describes in detail how to make learning the easy option for children.An easy-to-follow, comprehensive guide packed with ideas and activities, it is the perfect tool to help teachers who wish to develop their teaching strategies.
The second edition has been fully updated in light of the latest research, as well as in response to the new mathematics curriculum. It includes many more practical activities for each mathematical topic and explores exciting new areas. Key topics covered include:
- Numbers and the number system
- Operations and calculations
- Shape and space
- Measures, statistics and data handling
- Cross-curricular approaches
- Resources and planning for teaching and learning
- Contexts for making sense of mathematics
- Bridges, strategies and personal qualities
- Dialogue and interactive teaching
- International perspectives on teaching and learning
- Psychology and neuroscience to maximize learning.
The Really Useful Maths Book makes mathematics meaningful, challenging and interesting. It will be invaluable to practicing primary teachers, subject specialists, maths co-ordinators, student teachers, mentors, tutors, home educators and others interested in mathematics education programmes.
Contents
List of resource pages viii
Acknowledgements ix
Why another book about primary school mathematics? x
Using The Really Useful Maths Book xiv
PART I MATHEMATICAL ACTIVITIES AND TEACHING
STRATEGIES 1
Introduction 3
N NUMBERS AND THE NUMBER SYSTEM 10
1 Counting and counting out 10
2 Saying and making numbers 16
3 Arabic and other number systems 26
4 Working with grids 32
5 Working with target boards 40
6 Working with sets 46
7 Working with square numbers 48
8 Exploring algebra 50
9 Taking ideas from ‘floor to head’ 58
O OPERATIONS AND CALCULATIONS 64
1 Number lines 64
2 The story of 24 68
3 Arithmetic operations 76
4 Arithmogons and other puzzles 88
5 Teaching multiplication tables 100
6 Divisibility rules 110
S SHAPE AND SPACE 114
1 Visualisation techniques and activities 114
2 Activities and investigations 120
3 Working with cloths 128
4 Unusual and unfamiliar 134
5 Changing shapes 140
M MEASURES, STATISTICS AND DATA HANDLING 146
1 Measures and measurement 146
2 Data handling and using the media 156
3 Statistics and probability 160
4 Using personal measurement 166
5 Investigating measurement 168
X CROSS-CURRICULAR APPROACHES 179
1 Cross-curricular approaches 179
2 Playing with the language of mathematics 184
3 Maths in music, dance and knitting 188
4 Maths, sustainability and the global dimension 193
5 Reasoning, logic, proof and programming 197
PART II DEVELOPING INTERACTIVE TEACHING
STRATEGIES 203
Introduction 204
A TEACHING AND LEARNING FROM INTERNATIONAL PERSPECTIVES 205
1 Policy and content 205
2 Pupil performance 207
3 Classroom practice 209
4 Findings from psychology and neuroscience 212
B CHILDREN AND TEACHERS INTERACTING 218
1 Pupil, teacher, mathematics: a dynamic model of interaction 218
2 Interactive teaching 220
3 Children talking, teachers listening 221
4 Questions and questioning 224
5 Assessment for learning 232
C RESOURCES AND PLANNING FOR TEACHING AND LEARNING 245
1 Achieving balance in the mathematics curriculum 245
2 Using resources to emphasise mathematical attributes 247
3 Resources for counting and calculation 251
4 Planning to optimise learning 254
D CONTEXTS FOR MAKING SENSE OF MATHEMATICS 261
1 Using different contexts to help make sense of mathematics 261
2 Practical activities and solving problems 264
E BRIDGES, STRATEGIES AND PERSONAL QUALITIES 268
1 Building bridges for learning 268
2 The importance of strategy building 272
3 Eight qualities of successful learners 277
PART III ADDITIONAL MATERIAL 281
How to use Part III, QR codes, the companion website and glossary 282
Additional sources 283
Bibliography 287
Journals, organisations, software, equipment and other resources 290
Websites 293
Author index 299
Pedagogical issues index 300
Maths content index 304
Activity matrix 306
