Teaching Number in the Classroom with 4-8 year olds

by Robert J Wright

• ISBN13: 9781412907583
• ISBN10: 1412907586
• Edition: CD
• Format: Paperback
• Copyright: 2006-01-26
• Publisher: SAGE Publications Ltd

Summary

This user-friendly resource presents an inquiry-based approach to classroom instruction, and includes beginning number and early counting strategies as well as multi-digit addition, subtraction, multiplication, and division.

Author Biography

Robert J. Wright is Professor in Mathematics Education at Southern Cross University, Australia Garry Stanger teaches Masters courses in early numeracy at Southern Cross University, Australia Ann K. Stafford is a leader in the implementation of Math Recovery in the United States James Martland is Senior Fellow in the Department of Education, University of Liverpool and Director of the Mathematics Recovery Programme (UK) Ltd.

Table of Contents

List of Figures	p. xi
List of Photographs	p. xii
List of Tables	p. xiii
Contributors	p. xiv
Acknowledgments	p. xvii
Series Preface	p. xviii
Preface	p. xx
Introduction	p. 1
Approaching, Organizing and Designing Instruction	p. 5
General Introduction to Part II	p. 20
Number Words and Numerals	p. 29
Assessment Task Groups	p. 33
Forward Number Word Sequences	p. 33
Number word after	p. 33
Backward number word sequences	p. 35
Number word before	p. 35
Numeral identification	p. 35
Numeral recognition	p. 36
Sequencing numerals	p. 37
Ordering numerals	p. 38
Locating numbers in the range 1 to 100	p. 39
Instructional Activities	p. 40
Count Around	p. 40
Numbers on the Line	p. 40
Stand in Line	p. 41
Secret Numbers	p. 41
Can You See Me?	p. 42
Make and Break Numbers	p. 43
The Joke Is On You	p. 43
Counting Choir	p. 44
Take Your Place	p. 44
What Comes Next?	p. 45
Early Counting and Addition	p. 47
Assessment Task Groups	p. 51
Comparing small collections	p. 51
Increase and decrease in the range 1 to 6	p. 52
Establishing the numerosity of a collection	p. 52
Establishing a collection of specified numerosity	p. 53
Establishing the numerosity of two collections	p. 53
Additive tasks involving two screened collections	p. 54
Counting and copying temporal sequences and temporal patterns	p. 54
Instructional Activities	p. 55
Domino Addition	p. 55
Addition Dice	p. 56
Counters in a Row	p. 57
On the Mat	p. 57
Where Do I Go?	p. 58
Toy Box	p. 59
Teddy Bear Walk	p. 60
Chains	p. 61
Give Me Five	p. 62
Pass It On	p. 62
Structuring Numbers 1 to 10	p. 64
Assessment Task Groups	p. 68
Making finger patterns for numbers in the range 1 to 5	p. 68
Making finger patterns for numbers in the range 6 to 10	p. 69
Naming and visualizing domino patterns 1 to 6	p. 70
Naming and visualizing pair-wise patterns on a ten frame	p. 70
Naming and visualizing five-wise patterns on a ten frame	p. 71
Partitions of 5 and 10	p. 71
Addition and subtraction in the range 1 to 10	p. 72
Instructional Activities	p. 73
Bunny Ears	p. 73
The Great Race	p. 74
Quick Dots	p. 75
Make Five Concentration	p. 76
Five and Ten Frame Flashes	p. 77
Memory Game	p. 78
Domino Flashes	p. 79
Domino Fish	p. 80
Domino Snap	p. 80
Make Ten Fish	p. 81
Advanced Counting, Addition and Subtraction	p. 82
Assessment Task Groups	p. 86
Additive tasks involving two screened collections	p. 86
Missing addend task involving two screened collections	p. 86
Removed items task involving a screened collection	p. 88
Missing subtrahend task involving a screened collection	p. 88
Comparative subtraction involving two screened collections	p. 89
Subtraction with bare numbers	p. 89
Instructional Activities	p. 90
Calculator Counting	p. 90
Class Count-on and Count-back	p. 91
One Hundred Square Activities	p. 91
Activities On a Bead Bar or Bead String	p. 92
Bucket Count-on	p. 92
Bucket Count-back	p. 93
Number Line Count-on	p. 94
Numeral Track Activities	p. 95
Under the Cloth	p. 97
Structuring Numbers 1 to 20	p. 98
Assessment Task Groups	p. 105
Naming and visualizing pair-wise patterns for 1 to 10	p. 105
Naming and visualizing five-wise patterns for 1 to 10	p. 105
Naming and visualizing pair-wise patterns for 11 to 20	p. 106
Naming and visualizing five-wise and ten-wise patterns for 11 to 14	p. 107
Naming and visualizing ten-wise patterns for 15 to 20	p. 108
Addition using doubles, fives and tens - addends less than 11	p. 108
Subtraction using doubles, fives and tens - subtrahend and difference less than 11	p. 109
Addition using doubles, fives and tens - one addend greater than 10	p. 109
Subtraction using doubles, fives and tens - subtrahend or difference greater than 10	p. 110
Instructional Activities	p. 111
Double Decker Bus Flashes	p. 111
Getting On and Off the Bus	p. 112
Bus Snap	p. 113
Make Combinations to Twenty Fish	p. 113
Using Ten-plus Combinations	p. 114
Five and Ten Game	p. 116
Chocolate Boxes	p. 116
Double Ten Frame Facts	p. 117
Bead Board	p. 118
2-digit Addition and Subtraction: Jump Strategies	p. 120
Assessment Task Groups	p. 126
Forward and backward number word sequences by 10s, on and off the decade	p. 126
Adding from a decade and subtracting to a decade	p. 126
Adding to a decade and subtracting from a decade	p. 127
Incrementing and decrementing by 10s on and off the decade	p. 128
Incrementing flexibly by 10s and ones	p. 129
Adding 10s to a 2-digit number and subtracting 10s from a 2-digit number	p. 130
Adding two 2-digit numbers without and with regrouping	p. 131
Subtraction involving two 2-digit numbers without and with regrouping	p. 132
Addition and subtraction using transforming, compensating and other strategies	p. 132
Instructional Activities	p. 134
Leap Frog	p. 134
Bead String with Ten Catcher	p. 136
Add or Subtract 11	p. 137
Add to or Subtract from 49	p. 138
Calculator Challenge	p. 138
Jump to 100	p. 139
Jump from 100	p. 140
Target Number	p. 141
Walk-about Sequences	p. 141
Non-standard Measurement Plan	p. 142
2-digit Addition and Subtraction: Split Strategies	p. 144
Assessment Task Groups	p. 148
Higher decade addition and subtraction without and with bridging the decade	p. 148
Partitioning and combining involving 2-digit numbers	p. 149
Combining and partitioning involving non-canonical forms	p. 149
Addition involving two 2-digit numbers without and with regrouping	p. 150
Subtraction involving two 2-digit numbers without and with regrouping	p. 150
Instructional Activities	p. 151
Follow the Pattern	p. 151
Ten More or Ten Less	p. 151
Counting-by-Tens	p. 152
Add or Subtract Tens	p. 152
Adding Tens and Ones Using Money	p. 153
Screened Subtraction Task	p. 153
Split the Subtrahend (Multiples of 10)	p. 154
Early Multiplication and Division	p. 155
Assessment Task Groups	p. 162
Counting by 2s, 5s, 10s and 3s	p. 162
Repeated equal groups -visible	p. 162
Repeated equal groups -items screened and groups visible	p. 163
Repeated equal groups -groups screened and items screened	p. 163
Multiplication and division using arrays	p. 164
Word problems	p. 165
Relational thinking using bare number problems	p. 165
Instructional Activities	p. 167
Count Around - Multiples	p. 167
Trios for Multiples	p. 168
Quick Draw Multiples	p. 168
Rolling Groups	p. 169
Lemonade Stand	p. 170
Array Flip	p. 171
Duelling Arrays	p. 172
Mini Multo	p. 173
Four's a Winner	p. 174
I Have ... Who Has ...	p. 175
The Teacher as a Learner	p. 177
Glossary	p. 193
Bibliography	p. 197
Index	p. 200
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