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Updated Edition of Bestseller

The Dyscalculia Toolkit
Supporting Learning Difficulties in Maths

Third Edition


© 2017 | 224 pages | SAGE Publications Ltd
The new edition of the best-selling Dyscalculia Toolkit continues to meet the needs of specialist and non-specialist teachers working with learners aged 6 to 14 years who have difficulty with math and numbers. With over 200 activities, 50 games, and new and improved illustrations, the updated Third Edition also includes exclusive access to a new companion website. Featuring practical, creative, and innovative ideas and strategies, this is the complete toolkit to help teachers and parents support learners with dyscalculia or those struggling with mathematics.

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About the Author
 
About the Companion Website
 
How to Access the Companion Website
 
Introduction
What's New in this edition?  
What does this book contain?  
Why is there such a strong emphasis on games?  
How to use this book  
What is dyscalculia?  
What are the indicators for dyscalculia?  
What about learners with other specific learning difficulties?  
What's next, after working through this book?  
Table: Summary of the main teaching points addressed by the games in The Dyscalculia Toolkit  
Table: All the activities and games in The Dyscalculia Toolkit listed according to their numeracy topic or main teaching points  
 
Section 1: EARLY NUMBER WORK WITH NUMBERS UP TO 10
Overview  
What are the main problems?  
How to help  
Activities and Games:  
Activity - Make dot patterns for the numbers 1 to 10  
Activity - Make transparent dot pattern cards for the numbers 1 to 5  
Game - Make 5  
Activity - Explore smaller numbers inside larger numbers  
Game - Numbers inside  
Activity - Change one dot pattern into another  
Activity - Change dot pattern by adding or subtracting  
Activity - Use dot patterns to explore the idea of odd and even  
Game - Collect 5s  
Game - Key Components Guessing Game  
Activity - Sort and re-sort a set of dominoes  
What about learners with other specific learning difficulties?  
What's next, after working through this book?  
Table: Summary of the main teaching points addressed by the games in The Dyscalculia Toolkit  
Table: All the activities and games in The Dyscalculia Toolkit listed according to their numeracy topic or main teaching points  
 
Section 1: EARLY NUMBER WORK WITH NUMBERS UP TO 10
Overview  
What are the main problems?  
How to help  
Activities and Games:  
Activity - Make dot patterns for the numbers 1 to 10  
Activity - Make transparent dot pattern cards for the numbers 1 to 5  
Game - Make 5  
Activity - Explore smaller numbers inside larger numbers  
Game - Numbers inside  
Activity - Change one dot pattern into another  
Activity - Change dot pattern by adding or subtracting  
Activity - Use dot patterns to explore the idea of odd and even  
Game - Collect 5s  
Game - Key Components Guessing Game  
Activity - Sort and re-sort a set of dominoes  
Activity - Connect subtraction to addition  
Activity - Regroup: Apply logic to find new component facts from given facts  
Activity - Become familiar with Cuisenaire rods  
Activity – Explore odd and even with Cuisenaire rods and with money  
Game – Odd and Even Collectors  
Game – Draw Your Race on a Number Line  
Activities – Use Cuisenaire rods to learn all components of the numbers 1–10  
Activity – Make and read equations with Cuisenaire rods  
Activity – Make a ‘Story’ of a number  
Game – Race To Tell a Story  
Game – Post-It Note Subtraction  
Activities – Draw and record equations in writing  
Activity – Make up word problems to match a given number fact  
Game – Cover the Numbers, or Shut the Box  
Game – Clear the Deck  
Activity – Make a bead string, in two colours, of 10 beads  
Activities – Learn complements of 10 with the bead string  
Game – How Many Beads? How Many Are Hidden?  
Activity – Find complements of 10 with Cuisenaire rods  
Game – Complements Number Search  
Game – Complements Ping-Pong  
Game – Ten in a Bed  
Activities – Explore and learn the doubles up to 5 + 5  
Activities – Estimate and measure using Cuisenaire rods  
Activities – Focus on plus/minus 1 and plus/minus 2  
Game – Who Has the Most Equations?  
Activity – Compare the difference and equalise  
Activities – Hidden quantity subtraction  
Activity – Teach complementary addition  
Activity – Complementary addition on a number line  
Activity – Use reasoning to find near-complements and near-doubles  
Activity – Identify the best strategy for different situations  
Activities – Use money for component work  
 
Section 2: BASIC CALCULATION WITH NUMBERS ABOVE 10
Overview  
What are the main problems?  
How to help  
Activities and games:  
Game – Polka Dots  
Game – Regroup  
Activity – Connect the numbers 10–20 with the numbers below 10  
Activities – Focus on the ‘teen’ numbers  
Activities – Explore the numbers between 10 and 20 with Cuisenaire rods  
Game – It All Adds Up  
Activities – Locate 2-digit numbers and put them in context  
Activities – Complements to 20  
Activity – Complements to larger multiples of 10  
Activity – Complements on a number line  
Activity – Introduce bridging through 10 with Cuisenaire rods  
Game – Five and What’s Left  
Activity – Bridge through 10 on a number line  
Activity – Practise bridging and reinforce the commutativity of addition  
Game – Frame an Addition  
Activity – Bridge through multiples of 10 on a number line  
Game – Race Along a Number Line and Bridge  
Game – Race to the End of the Number Line  
Activity – Complementary addition, or subtraction by adding  
Game – Frame a Subtraction  
Activity – Complementary addition for subtracting round numbers  
Activity – Harder complementary addition on a number line  
Activity – A flexible approach to partitioning  
Activities – Explore partitioning methods for 2–digit mental additions  
Activity – Teach an alternative written method for column addition  
Activity – Avoid decomposition in subtraction  
Activities – Complements to 100  
Game – Keep the Change!  
Activity – Learn the doubles up to 10 + 10  
Activities – Practise and extend the doubles facts  
Activity – Halving is the opposite of doubling  
Activity – Find half of round numbers  
Activity – Function machines for doubling and halving  
Activity – Use reasoning to find near-complements and near-doubles  
Game – Double Take  
Activity – 9 is almost 10  
Activity – The Basic 8 strategies  
Activity – Identify which strategy works best in different situations  
 
Section 3: PLACE VALUE
Overview  
A note about the threefold nature of the column labelling system  
What are the main problems?  
How to help  
Activities and games:  
Activities – Exchange units into tens  
Activities – Concrete counting on place value mats  
Game – Magic 10s  
Activities – Make a 20-step staircase and explore the ‘teen’ number names  
Activity – Cover 20  
Game – Race to Cover 100  
Game – Four Throws to Reach 100  
Activities – Make and read numbers made of Cuisenaire rods or base-10 materials  
Games – Dice and Spinner Games  
Activities – Practise subtraction and decomposition with concrete materials  
Game – Spot the Decomposition  
Activities – Use a spike abacus  
Game – Win Counters on a 100-Square  
Game – Race through a 100-Square  
Activities – Practise adding and subtracting 10 and 100  
Game – Steer the Number  
Activity – Transform a 2-digit number in two steps  
Activity – Teach the threefold repeating pattern: units, tens and hundreds  
Activities – Explore place value as a shorthand  
Activities – Read and write multi-digit numbers  
Activities – Build up large numbers, one column at a time  
Activity – What is the value of …  
Game – 2-Digit Sequences  
Game – 3-Digit Sequences (Focus on Tens)  
Game – Place Value Boxes  
Game – Calculator Skittles  
Activity – Partition numbers into tens and units in various ways  
Activity – Split off the ‘teen’ numbers  
Game – Jump 10  
Activities – Locate any number on a number line  
Game – The Six-Card Rounding Game  
Game – The Rounding Challenge  
Activity – Teach × 10 and ÷ 10 as a shift between columns  
Activity – Extend place value thinking to decimals  
Activity – Connect decimal place value notation to money  
 
Section 4: TIMES TABLES, MULTIPLICATION AND DIVISION
Overview  
What are the main problems?  
How to help  
Activities and games:  
Activities – Build small numbers out of equal-sized groups  
Activity – Connect division to multiplication from the very beginning  
Activity – Illustrate simple word problems  
Activity – Use Cuisenaire rods to show that multiplication is commutative  
Activities – Use Cuisenaire rods to connect multiplication and division  
Activity – Diagrammatic recording of multiplication and division  
Activity – Connect step-counting (repeated addition) with multiplication  
Activity – Step–count one or two steps from various tables facts  
Activity – Practise mental step-counting from given tables facts  
Activities – Make times tables patterns on a 100-square  
Activities – Make times tables patterns on number lines  
Activities – Key fact: Double means ‘multiply by 2’  
Activity – Key facts: × 5 is half of × 10  
Activity – How many 10s? So, twice as many 5s  
Activity – × 9 is almost × 10  
Activity – Find all the steps of any times table by reasoning from key facts  
Activity – Practise all the steps of any times table by reasoning from key facts  
Activity – Find division facts by reasoning from key facts  
Game – Don’t Walk if You Can Take the Bus  
Game – Mouse Tables  
Activity – Construct a multiplication grid  
Activity – Complete a partially-filled multiplication grid  
Games using self-correcting cards to practise individual times tables  
Game – Multiples from the 1–6 Times Tables  
Activity – Harder mixed tables practice  
Game – Products in a Row  
Game – Factors  
Activity – Diagrammatic practice of the area model of multiplication  
Activity – Use rectangle sketches to help derive new multiplication facts  
Activities – Change the shape of the multiplication rectangle  
Game – Areas on a Grid  
Activity – Boxes for long multiplication  
 
Suggestions for further reading
 
Appendix: Introduction to concrete manipulative materials
 
Index
Key features
NEW TO THIS EDITION:
  • The Third Edition includes exclusive access to a new companion website which features:
    • 10 videos with over 45 minutes of material demonstrating a selection of games from every section
    • Editable pupil tracking sheets organized by teaching point and section
    • Over 70 pages of downloadable and printable teaching materials including activity sheets, game boards, teaching resources, and summary tables

Sample Materials & Chapters

Bird - The Dyscalculia Toolkit - Introduction


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