Teaching number in the classroom with 4-8 year olds created by Bob Wright, Garry Stanger and Ann Stafford-Dillon

By:

Wright, Bob [Author]

Contributor(s):

Material type: Text

TextLanguage: English Publication details: London Sage 2015Edition: 2ndDescription: 239 pagesContent type:

text

Media type:

unmediated

Carrier type:

volume

ISBN:

9781446282687
9781446282694

Subject(s):

Mathematics -- Study and teaching (Elementary)

LOC classification:

QA135.6 TEA

Contents:

Machine generated contents note: Purpose -- Structure -- Notes to the Reader -- PART I -- 1.Approaching, Designing and Organizing Instruction -- Approaching Instruction -- Designing Instruction -- Organizing Instruction -- 2.General Introduction to Part II -- Structure of Chapters in Part II -- Teaching Number in the Early Years -- Contrasting Traditional and Emerging Approaches -- Teaching Place Value -- A New Approach -- PART II -- 3.Number Words and Numerals -- Topic Overview -- Learning about Number Words -- Learning about Numerals -- Assessment Task Groups -- A3.1.Forward Number Word Sequences -- A3.2.Number Word After -- A3.3.Backward Number Word Sequences -- A3.4.Number Word Before -- A3.5.Numeral Identification -- A3.6.Numeral Recognition -- A3.7.Sequencing Numerals -- A3.8.Ordering Numerals -- A3.9.Locating Numbers in the Range 1 to 100 -- Instructional Activities -- IA3.1.Count Around -- IA3.2.Numbers on the Line -- IA3.3.Counting Choir -- IA3.4.What Comes Next? Note continued: IA3.5.Stand in Line -- IA3.6.Secret Numbers -- IA3.7.Can You See Me? -- IA3.8.Take Your Place -- IA3.9.Where Do I Go? -- IA3.10.Teddy Bear Walk -- IA3.11.The Numeral Roll -- Learning Trajectories -- 4.Early Counting and Addition -- Topic Overview -- The Importance of Counting -- Levels of Sophistication in Counting -- Counting versus Saying a Number Word Sequence -- Perceptual Counting -- Beginning Addition through Counting -- Counting-from-one versus Counting-on -- Counting as Coordinating Words and Items -- Emergent, Perceptual and Figurative Counting -- Determining the Most Sophisticated Level -- Assessment Task Groups -- A4.1.Comparing Small Collections -- A4.2.Increase and Decrease in the Range 1 to 6 -- A4.3.Establishing the Numerosity of a Collection -- A4.4.Establishing a Collection of Specified Numerosity -- A4.5.Establishing the Numerosity of Two Collections -- A4.6.Additive Tasks Involving Two Screened Collections Note continued: A4.7.Counting and Copying Temporal Sequences and Temporal Patterns -- Instructional Activities -- IA4.1.Diffy Game -- IA4.2.Number Row Count -- IA4.3.Domino Addition -- IA4.4.Addition Spinners -- IA4.5.Counters in a Row -- IA4.6.On the Mat -- IA4.7.Toy Box -- IA4.8.Chains -- IA4.9.Give Me Five -- IA4.10.Pass It On -- IA4.11.Hide and Add -- IA4.12.Rhythmic Patterns -- Learning Trajectory -- 5.Structuring Numbers 1 to 10 -- Topic Overview -- Combining and Partitioning Small Numbers -- Spatial Patterns -- Finger Patterns -- Five and Ten as Reference Points in the Range 1 to 10 -- Assessment Task Groups -- A5.1.Making Finger Patterns for Numbers in the Range 1 to 5 -- A5.2.Making Finger Patterns for Numbers in the Range 6 to 10 -- A5.3.Naming and Visualizing Domino Patterns 1 to 6 -- A5.4.Naming and Visualizing Pair-Wise Patterns on a Ten-Frame -- A5.5.Naming and Visualizing Five-Wise Patterns on a Ten-Frame -- A5.6.Partitions of 5 and 10 Note continued: A5.7.Addition and Subtraction in the Range 1 to 10 -- Instructional Activities -- IA5.1.Bunny Ears -- IA5.2.The Great Race -- IA5.3.Quick Dots -- IA5.4.Make Five Concentration -- IA5.5.Five- and Ten-Frame Flashes -- IA5.6.Memory Game -- IA5.7.Domino Flashes -- IA5.8.Domino Fish -- IA5.9.Domino Snap -- IA5.10.Make Ten Fish -- IA5.11.Ten-Frame Bingo -- IA5.12.Domino Five Up -- IA5.13.Make Ten Ping Pong -- Learning Trajectory -- 6.Advanced Counting, Addition and Subtraction -- Topic Overview -- Advanced Counting-by-ones Strategies -- Screened Collections versus Word Problems -- Choosing Numbers for Additive and Subtractive Tasks -- Assessment Task Groups -- A6.1.Additive Tasks Involving Two Screened Collections -- A6.2.Missing Addend Tasks Involving Two Screened Collections -- A6.3.Removed Items Tasks Involving a Screened Collection -- A6.4.Missing Subtrahend Tasks Involving a Screened Collection Note continued: A6.5.Comparative Subtraction Involving Two Screened Collections -- A6.6.Subtraction with Bare Numbers -- Instructional Activities -- IA6.1.Class Count-On and Count-Back -- IA6.2.Hundred Chart Activities -- IA6.3.Activities on a Bead Bar or Bead String -- IA6.4.Bucket Count-On -- IA6.5.Bucket Count-Back -- IA6.6.Number Line Count-On -- IA6.7.It's in the Bag -- IA6.8.Team Mats -- IA6.9.What's in the Box? -- IA6.10.Under the Cloth -- IA6.11.Train Track -- IA6.12.Frogs on the Lily Pads -- IA6.13.Making Ice -- Learning Trajectory -- 7.Structuring Numbers 1 to 20 -- Topic Overview -- Using the Arithmetic Rack -- Making and Reading Numbers 1 to 20 -- Adding Two Numbers with the Sum in the Range 1 to 20 -- Subtraction in the Range 1 to 20 -- From Using the Rack to Mental Strategies -- Working Flexibly with Doubles and Near Doubles, and Five and Ten -- Assessment Task Groups -- A7.1.Naming and Visualizing Pair-Wise Patterns for 1 to 10 Note continued: A7.2.Naming and Visualizing Five-Wise Patterns for 1 to 10 -- A7.3.Naming and Visualizing Pair-Wise Patterns for 11 to 20 -- A7.4.Naming and Visualizing Five-Wise and Ten-Wise Patterns for 11 to 14 -- A7.5.Naming and Visualizing Ten-Wise Patterns for 15 to 20 -- A7.6.Addition using Doubles, Fives and Tens -- Addends Less than 11 -- A7.7.Subtraction using Doubles, Fives and Tens -- Subtrahend and Difference Less than 11 -- A7.8.Addition using Doubles, Fives and Tens -- One Addend Greater than 10 -- A7.9.Subtraction using Doubles, Fives and Tens -- Subtrahend or Difference Greater than 10 -- Instructional Activities -- IA7.1.Double Decker Bus Flashes -- IA7.2.Getting On and Off the Bus -- IA7.3.Dot Snap -- IA7.4.Making Combinations to Twenty Fish -- IA7.5.Using Ten-Plus Combinations -- IA7.6.Five and Ten Game -- IA7.7.Chocolate Boxes -- IA7.8.Double Ten-Frame Facts -- IA7.9.Bead Board -- IA7.10.Clear the Board -- Learning Trajectories Note continued: 8.Two-digit Addition and Subtraction: Jump Strategies -- Topic Overview -- Fostering the Development of Jump Strategies -- Learning to Add and Subtract through a Decuple -- Learning to Increment and Decrement 2-digit Numbers -- Fostering the Development of a Range of Strategies -- Assessment Task Groups -- A8.1.Forward and Backward Number Word Sequences by Tens, on and off the Decuple -- A8.2.Adding from a Decuple and Subtracting to a Decuple -- A8.3.Adding to a Decuple and Subtracting from a Decuple -- A8.4.Incrementing and Decrementing by Tens on and off the Decuple -- A8.5.Incrementing Flexibly by Tens and Ones -- A8.6.Adding Tens to a 2-Digit Number and Subtracting Tens from a 2-Digit Number -- A8.7.Adding Two 2-Digit Numbers without and with Regrouping -- A8.8.Subtraction Involving Two 2-Digit Numbers without and with Regrouping -- A8.9.Addition and Subtraction using Transforming, Compensating and Other Strategies -- Instructional Activities Note continued: IA8.1.Walk-about Sequences -- IA8.2.Bead String with Ten Catcher -- IA8.3.Leap Frog -- IA8.4.Jump to 100 -- IA8.5.Jump from 100 -- IA8.6.Target Number -- IA8.7.Jump Addition and Subtraction Worksheets -- IA8.8.Jump Addition and Subtraction Cards -- IA8.9.Jump Addition and Subtraction Spinners -- IA8.10.What's the Question? -- IA8.11.Race to 50 -- Learning Trajectory -- 9.Two-digit Addition and Subtraction: Split Strategies -- Topic Overview -- Higher Decade Addition and Subtraction -- Fostering the Development of Split Strategies -- Extending to 3-digit Addition, Subtraction and Place Value -- Assessment Task Groups -- A9.1.Higher Decade Addition and Subtraction without and with Bridging the Decuple -- A9.2.Partitioning and Combining Involving 2-Digit Numbers -- A9.3.Combining and Partitioning Involving Non-Canonical (Non-Standard) Forms -- A9.4.Addition Involving Two 2-Digit Numbers without and with Regrouping Note continued: A9.5.Subtraction Involving Two 2-Digit Numbers without and with Regrouping -- Instructional Activities -- IA9.1.Follow the Pattern -- IA9.2.Counting by Tens -- IA9.3.Ten More or Ten Less -- IA9.4.Add or Subtract Tens -- IA9.5.Playing with Money -- IA9.6.Addition Tasks with Screened Materials -- IA9.7.Subtraction Tasks with Screened Materials -- IA9.8.Split the Subtrahend (Decuples) -- IA9.9.Making Bundles of Ten -- IA9.10.Make and Break Numbers -- Learning Trajectory -- 10.Early Multiplication and Division -- Topic Overview -- Repeated Equal Groups and Sharing -- Number Word Sequences of Multiples -- Skip Counting -- Counting Repeated Equal Groups -- Division as Sharing or Measuring -- Abstract Composite Unit -- Using Arrays -- Commutativity and Inverse Operations -- Extending Multiplication and Division Knowledge -- Assessment Task Groups -- A10.1.Counting by Twos, Fives, Tens and Threes -- A10.2.Multiplication -- Items and Groups Visible Note continued: A10.3.Multiplication -- Items Screened and Groups Visible -- A10.4.Multiplication -- Items and Groups Screened -- A10.5.Quotitive Division -- Number in Each Group Given -- A10.6.Partitive Division -- Number of Groups Given -- A10.7.Multiplication using Arrays -- A10.8.Division using Arrays -- A10.9.Multiplication Basic Facts Involving 2, 10 and 5 as Multipliers -- A10.10.Relational Thinking: Commutative and Distributive Principles -- A10.11.Relational Thinking: Multiplication and Division as Inverses -- Instructional Activities -- IA10.1.Count Around -- Multiples -- IA10.2.Trios for Multiples -- IA10.3.Quick Draw Multiples -- IA10.4.Rolling Groups -- IA10.5.Lemonade Stand -- IA10.6.Array Flip -- IA10.7.Dueling Arrays -- IA10.8.Mini Multo -- IA10.9.Four's a Winner -- IA10.10.I Have/Who Has -- IA10.11.Multiplication Match-up -- IA10.12.Introducing Division -- IA10.13.Division Array Cards -- Learning Trajectory.

Summary: Part of the best-selling series, this book brings the principles and practice of the acclaimed Mathematics Recovery Programme to whole-class teaching. Central to the text is the concept of an inquiry-based approach to classroom instruction, and topics covered range from beginning number and early counting strategies to multi-digit addition and subtraction right through to multiplication and division. Now printed in full colour, changes to this edition include: a revised layout to aid clearer navigation, including links to other books in the series; updated tasks, activities and real classroom examples; learning trajectories for guiding instruction and tracking progress on key topics; and, a new companion website with extended printable resources and demonstration videos. As world leaders in the field of Mathematics Recovery, the authors have drawn on their vast experience to create a user-friendly, practical guide focusing on classroom teaching. With its step-by-step approach, the book will be an invaluable resource for all primary classroom teachers, including experienced Mathematics Recovery instructors.

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Holdings
Item type	Current library	Call number	Copy number	Status	Barcode
Book	Main Library Open Shelf	QA135.6 TEA (Browse shelf(Opens below))	149317	Available	BK135632
Book	Main Library Open Shelf	QA135.6 TEA (Browse shelf(Opens below))	149318	Available	BK135728
Book	Main Library Open Shelf	QA135.6 TEA (Browse shelf(Opens below))	149319	Available	BK135638
Book	Main Library Open Shelf	QA135.6 TEA (Browse shelf(Opens below))	149320	Available	BK135635

Includes bibliographical references and index.

Machine generated contents note: Purpose --
Structure --
Notes to the Reader --
PART I --
1.Approaching, Designing and Organizing Instruction --
Approaching Instruction --
Designing Instruction --
Organizing Instruction --
2.General Introduction to Part II --
Structure of Chapters in Part II --
Teaching Number in the Early Years --
Contrasting Traditional and Emerging Approaches --
Teaching Place Value --
A New Approach --
PART II --
3.Number Words and Numerals --
Topic Overview --
Learning about Number Words --
Learning about Numerals --
Assessment Task Groups --
A3.1.Forward Number Word Sequences --
A3.2.Number Word After --
A3.3.Backward Number Word Sequences --
A3.4.Number Word Before --
A3.5.Numeral Identification --
A3.6.Numeral Recognition --
A3.7.Sequencing Numerals --
A3.8.Ordering Numerals --
A3.9.Locating Numbers in the Range 1 to 100 --
Instructional Activities --
IA3.1.Count Around --
IA3.2.Numbers on the Line --
IA3.3.Counting Choir --
IA3.4.What Comes Next? Note continued: IA3.5.Stand in Line --
IA3.6.Secret Numbers --
IA3.7.Can You See Me? --
IA3.8.Take Your Place --
IA3.9.Where Do I Go? --
IA3.10.Teddy Bear Walk --
IA3.11.The Numeral Roll --
Learning Trajectories --
4.Early Counting and Addition --
Topic Overview --
The Importance of Counting --
Levels of Sophistication in Counting --
Counting versus Saying a Number Word Sequence --
Perceptual Counting --
Beginning Addition through Counting --
Counting-from-one versus Counting-on --
Counting as Coordinating Words and Items --
Emergent, Perceptual and Figurative Counting --
Determining the Most Sophisticated Level --
Assessment Task Groups --
A4.1.Comparing Small Collections --
A4.2.Increase and Decrease in the Range 1 to 6 --
A4.3.Establishing the Numerosity of a Collection --
A4.4.Establishing a Collection of Specified Numerosity --
A4.5.Establishing the Numerosity of Two Collections --
A4.6.Additive Tasks Involving Two Screened Collections Note continued: A4.7.Counting and Copying Temporal Sequences and Temporal Patterns --
Instructional Activities --
IA4.1.Diffy Game --
IA4.2.Number Row Count --
IA4.3.Domino Addition --
IA4.4.Addition Spinners --
IA4.5.Counters in a Row --
IA4.6.On the Mat --
IA4.7.Toy Box --
IA4.8.Chains --
IA4.9.Give Me Five --
IA4.10.Pass It On --
IA4.11.Hide and Add --
IA4.12.Rhythmic Patterns --
Learning Trajectory --
5.Structuring Numbers 1 to 10 --
Topic Overview --
Combining and Partitioning Small Numbers --
Spatial Patterns --
Finger Patterns --
Five and Ten as Reference Points in the Range 1 to 10 --
Assessment Task Groups --
A5.1.Making Finger Patterns for Numbers in the Range 1 to 5 --
A5.2.Making Finger Patterns for Numbers in the Range 6 to 10 --
A5.3.Naming and Visualizing Domino Patterns 1 to 6 --
A5.4.Naming and Visualizing Pair-Wise Patterns on a Ten-Frame --
A5.5.Naming and Visualizing Five-Wise Patterns on a Ten-Frame --
A5.6.Partitions of 5 and 10 Note continued: A5.7.Addition and Subtraction in the Range 1 to 10 --
Instructional Activities --
IA5.1.Bunny Ears --
IA5.2.The Great Race --
IA5.3.Quick Dots --
IA5.4.Make Five Concentration --
IA5.5.Five- and Ten-Frame Flashes --
IA5.6.Memory Game --
IA5.7.Domino Flashes --
IA5.8.Domino Fish --
IA5.9.Domino Snap --
IA5.10.Make Ten Fish --
IA5.11.Ten-Frame Bingo --
IA5.12.Domino Five Up --
IA5.13.Make Ten Ping Pong --
Learning Trajectory --
6.Advanced Counting, Addition and Subtraction --
Topic Overview --
Advanced Counting-by-ones Strategies --
Screened Collections versus Word Problems --
Choosing Numbers for Additive and Subtractive Tasks --
Assessment Task Groups --
A6.1.Additive Tasks Involving Two Screened Collections --
A6.2.Missing Addend Tasks Involving Two Screened Collections --
A6.3.Removed Items Tasks Involving a Screened Collection --
A6.4.Missing Subtrahend Tasks Involving a Screened Collection Note continued: A6.5.Comparative Subtraction Involving Two Screened Collections --
A6.6.Subtraction with Bare Numbers --
Instructional Activities --
IA6.1.Class Count-On and Count-Back --
IA6.2.Hundred Chart Activities --
IA6.3.Activities on a Bead Bar or Bead String --
IA6.4.Bucket Count-On --
IA6.5.Bucket Count-Back --
IA6.6.Number Line Count-On --
IA6.7.It's in the Bag --
IA6.8.Team Mats --
IA6.9.What's in the Box? --
IA6.10.Under the Cloth --
IA6.11.Train Track --
IA6.12.Frogs on the Lily Pads --
IA6.13.Making Ice --
Learning Trajectory --
7.Structuring Numbers 1 to 20 --
Topic Overview --
Using the Arithmetic Rack --
Making and Reading Numbers 1 to 20 --
Adding Two Numbers with the Sum in the Range 1 to 20 --
Subtraction in the Range 1 to 20 --
From Using the Rack to Mental Strategies --
Working Flexibly with Doubles and Near Doubles, and Five and Ten --
Assessment Task Groups --
A7.1.Naming and Visualizing Pair-Wise Patterns for 1 to 10 Note continued: A7.2.Naming and Visualizing Five-Wise Patterns for 1 to 10 --
A7.3.Naming and Visualizing Pair-Wise Patterns for 11 to 20 --
A7.4.Naming and Visualizing Five-Wise and Ten-Wise Patterns for 11 to 14 --
A7.5.Naming and Visualizing Ten-Wise Patterns for 15 to 20 --
A7.6.Addition using Doubles, Fives and Tens --
Addends Less than 11 --
A7.7.Subtraction using Doubles, Fives and Tens --
Subtrahend and Difference Less than 11 --
A7.8.Addition using Doubles, Fives and Tens --
One Addend Greater than 10 --
A7.9.Subtraction using Doubles, Fives and Tens --
Subtrahend or Difference Greater than 10 --
Instructional Activities --
IA7.1.Double Decker Bus Flashes --
IA7.2.Getting On and Off the Bus --
IA7.3.Dot Snap --
IA7.4.Making Combinations to Twenty Fish --
IA7.5.Using Ten-Plus Combinations --
IA7.6.Five and Ten Game --
IA7.7.Chocolate Boxes --
IA7.8.Double Ten-Frame Facts --
IA7.9.Bead Board --
IA7.10.Clear the Board --
Learning Trajectories Note continued: 8.Two-digit Addition and Subtraction: Jump Strategies --
Topic Overview --
Fostering the Development of Jump Strategies --
Learning to Add and Subtract through a Decuple --
Learning to Increment and Decrement 2-digit Numbers --
Fostering the Development of a Range of Strategies --
Assessment Task Groups --
A8.1.Forward and Backward Number Word Sequences by Tens, on and off the Decuple --
A8.2.Adding from a Decuple and Subtracting to a Decuple --
A8.3.Adding to a Decuple and Subtracting from a Decuple --
A8.4.Incrementing and Decrementing by Tens on and off the Decuple --
A8.5.Incrementing Flexibly by Tens and Ones --
A8.6.Adding Tens to a 2-Digit Number and Subtracting Tens from a 2-Digit Number --
A8.7.Adding Two 2-Digit Numbers without and with Regrouping --
A8.8.Subtraction Involving Two 2-Digit Numbers without and with Regrouping --
A8.9.Addition and Subtraction using Transforming, Compensating and Other Strategies --
Instructional Activities Note continued: IA8.1.Walk-about Sequences --
IA8.2.Bead String with Ten Catcher --
IA8.3.Leap Frog --
IA8.4.Jump to 100 --
IA8.5.Jump from 100 --
IA8.6.Target Number --
IA8.7.Jump Addition and Subtraction Worksheets --
IA8.8.Jump Addition and Subtraction Cards --
IA8.9.Jump Addition and Subtraction Spinners --
IA8.10.What's the Question? --
IA8.11.Race to 50 --
Learning Trajectory --
9.Two-digit Addition and Subtraction: Split Strategies --
Topic Overview --
Higher Decade Addition and Subtraction --
Fostering the Development of Split Strategies --
Extending to 3-digit Addition, Subtraction and Place Value --
Assessment Task Groups --
A9.1.Higher Decade Addition and Subtraction without and with Bridging the Decuple --
A9.2.Partitioning and Combining Involving 2-Digit Numbers --
A9.3.Combining and Partitioning Involving Non-Canonical (Non-Standard) Forms --
A9.4.Addition Involving Two 2-Digit Numbers without and with Regrouping Note continued: A9.5.Subtraction Involving Two 2-Digit Numbers without and with Regrouping --
Instructional Activities --
IA9.1.Follow the Pattern --
IA9.2.Counting by Tens --
IA9.3.Ten More or Ten Less --
IA9.4.Add or Subtract Tens --
IA9.5.Playing with Money --
IA9.6.Addition Tasks with Screened Materials --
IA9.7.Subtraction Tasks with Screened Materials --
IA9.8.Split the Subtrahend (Decuples) --
IA9.9.Making Bundles of Ten --
IA9.10.Make and Break Numbers --
Learning Trajectory --
10.Early Multiplication and Division --
Topic Overview --
Repeated Equal Groups and Sharing --
Number Word Sequences of Multiples --
Skip Counting --
Counting Repeated Equal Groups --
Division as Sharing or Measuring --
Abstract Composite Unit --
Using Arrays --
Commutativity and Inverse Operations --
Extending Multiplication and Division Knowledge --
Assessment Task Groups --
A10.1.Counting by Twos, Fives, Tens and Threes --
A10.2.Multiplication --
Items and Groups Visible Note continued: A10.3.Multiplication --
Items Screened and Groups Visible --
A10.4.Multiplication --
Items and Groups Screened --
A10.5.Quotitive Division --
Number in Each Group Given --
A10.6.Partitive Division --
Number of Groups Given --
A10.7.Multiplication using Arrays --
A10.8.Division using Arrays --
A10.9.Multiplication Basic Facts Involving 2, 10 and 5 as Multipliers --
A10.10.Relational Thinking: Commutative and Distributive Principles --
A10.11.Relational Thinking: Multiplication and Division as Inverses --
Instructional Activities --
IA10.1.Count Around --
Multiples --
IA10.2.Trios for Multiples --
IA10.3.Quick Draw Multiples --
IA10.4.Rolling Groups --
IA10.5.Lemonade Stand --
IA10.6.Array Flip --
IA10.7.Dueling Arrays --
IA10.8.Mini Multo --
IA10.9.Four's a Winner --
IA10.10.I Have/Who Has --
IA10.11.Multiplication Match-up --
IA10.12.Introducing Division --
IA10.13.Division Array Cards --
Learning Trajectory.

Part of the best-selling series, this book brings the principles and practice of the acclaimed Mathematics Recovery Programme to whole-class teaching. Central to the text is the concept of an inquiry-based approach to classroom instruction, and topics covered range from beginning number and early counting strategies to multi-digit addition and subtraction right through to multiplication and division. Now printed in full colour, changes to this edition include: a revised layout to aid clearer navigation, including links to other books in the series; updated tasks, activities and real classroom examples; learning trajectories for guiding instruction and tracking progress on key topics; and, a new companion website with extended printable resources and demonstration videos. As world leaders in the field of Mathematics Recovery, the authors have drawn on their vast experience to create a user-friendly, practical guide focusing on classroom teaching. With its step-by-step approach, the book will be an invaluable resource for all primary classroom teachers, including experienced Mathematics Recovery instructors.

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