Pocket PAL: Building Learning in Mathematics

by Prestage, Stephanie; De Geest, Els; Watson, Anne

• ISBN13: 9781855392281
• ISBN10: 1855392283
• Edition: 1st
• Format: Paperback
• Copyright: 2007-07-24
• Publisher: Network Educational Pr Ltd

Summary

Part of the major new  Pocket PAL Series, this one looks at the concept of Deep Progress in Mathematics (not as foreboding as it sounds!)

Author Biography

Stephanie Prestage taught mathematics for 12 years before joining the University of Birmingham as a lecturer in mathematics education

Table of Contents

Introduction	p. 2
Deep progress in learning
Defining deep progress	p. 6
Expected improvements	p. 8
Strategies for improvement	p. 10
Behaviour	p. 12
Challenge and struggle	p. 14
Silent moments	p. 16
Structures of lessons	p. 18
Participation and interaction
Joining in with your mind	p. 20
Learning and moving	p. 22
Speaking and listening	p. 24
Getting a good discussion	p. 26
Question types	p. 28
Using learners' responses	p. 30
Creating discussion between students	p. 32
Working in pairs	p. 34
Reacting to answers
Shifting responsibility to students	p. 36
Focusing on questioning answers	p. 38
Dealing with unexpected answers	p. 40
Storing good ideas	p. 42
Giving time
Immersion in a topic world	p. 44
Deep connections	p. 46
Thinking is more important than finishing	p. 48
I got rhythm...	p. 50
Working quickly and reflecting slowly	p. 52
Extending tasks	p. 54
Developing memory
Structuring teaching to help memory	p. 56
Explicit work	p. 58
Doing the whole thing in your head	p. 60
Using physical and visual memory	p. 62
Combining words, symbols and actions	p. 64
Using all the senses
Developing imagination	p. 66
Using equipment	p. 68
Writing helps learning	p. 70
Writing hinders learning	p. 72
Making choices
Thinking about choice	p. 74
Choosing what to do	p. 76
Choosing how to do it	p. 78
Choosing what to do next	p. 80
Knowing what you have learned	p. 82
Connections and complexity
What is changing; what is staying the same?	p. 84
Between tasks	p. 86
Really doing mathematics	p. 88
Sorting out complexity	p. 90
Doing your own mathematics	p. 92
A complex task	p. 94
Further reading	p. 96
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