The Really Useful Maths Book: A Guide to Interactive Teaching

by Brown; Tony

• ISBN13: 9780415252089
• ISBN10: 0415252083
• Format: Nonspecific Binding
• Copyright: 2005-06-23
• Publisher: RoutledgeFalmer

Summary

This is the book for teachers want children to enjoy the challenge of learning mathematics and who wish to experiment with their teaching, to create rather than react, and take risks rather than play it safe. This is an accessible and jargon-free practical guide to making math meaningful, challenging, and interesting. It provides useful activities and advice for teachers, students, parents, and others who support children's learning. Part 1 is organized around the strands of the National Numeracy Strategy. The emphasis is on developing different approaches to practical activities with children, noticing what happens, and building the necessary teaching skills around what works for you. Part 2 develops more complex teaching strategies including how to optimize interactive teaching.

Author Biography

Henry Liebling was Senior Lecturer in Primary Education at the College of St. Mark & St. John in Plymouth prior to his retirement.

Table of Contents

List of resource	vii
Acknowledgements	viii
Using The Really Useful Maths Book	ix
PART I MATHEMATICAL ACTIVITIES AND TEACHING STRATEGIES	1	(138)
Numbers and the Number System	2	(52)
Counting and counting out	2	(6)
Saying and making numbers	8	(10)
Arabic and other number systems	18	(6)
Working with grids	24	(8)
Working with target boards	32	(6)
Working with sets	38	(2)
Working with square numbers	40	(2)
Exploring algebra	42	(8)
Taking ideas from `floor to head'	50	(4)
Operations and Calculations	54	(40)
Number lines	54	(4)
The story of 24	58	(8)
Arithmetic operations	66	(10)
Arithmogons	76	(4)
Teaching multiplication tables	80	(10)
Divisibility rules	90	(4)
Shape and Space	94	(26)
Visualisation techniques and activities	94	(6)
Activities and investigations	100	(8)
Working with cloths	108	(6)
Unusual and unfamiliar	114	(6)
Measures, Statistics and Data Handling	120	(19)
Measures and measurement	120	(10)
Data handling and using the media	130	(4)
Statistics and probability	134	(5)
PART II DEVELOPING INTERACTIVE TEACHING STRATEGIES	139	(55)
What Teachers Need to Know About Interactive Teaching	142	(17)
The NNS: philosophy and structure	142	(4)
Using research to promote learning	146	(2)
The effect of resources on thinking	148	(4)
Resources for counting and calculation	152	(3)
Differentiating to maximise learning	155	(4)
Teachers and Children Interacting to Sustain Learning	159	(11)
Discussing mathematical ideas	160	(1)
Questions and questioning	161	(4)
Using questions to promote discussion	165	(2)
Assessment for learning	167	(3)
Children Making Sense of Mathematics	170	(7)
Three sets of axes for thinking about practical tasks	170	(1)
Real world-focused and classroom-focused activities	171	(1)
Rule-focused and problem-focused activities	172	(2)
Fantasy-focused and reality-focused activities	174	(1)
Strategies for problem-solving	175	(2)
Consolidating New Ideas and Developing Personal Qualities	177	(11)
Developing general and specific strategies with children	177	(1)
The need for a range of strategies	178	(2)
Problems with word problems	180	(1)
Eight qualities of successful learners	181	(3)
Developing emotional intelligence	184	(1)
Building bridges for learning	185	(3)
Consolidation and Practice for Accuracy, Speed and Fluency, Application and Automaticity	188	(6)
The need for practice in different contexts	188	(1)
Errors and misconceptions in mathematics	189	(5)
Recommended sources	194	(3)
Bibliography	197	(6)
Index	203