###### 4th Edition

# The Dyscalculia Toolkit: Supporting Learning Difficulties in Maths

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- The Dyscalculia ToolkitNow with over 200 activities & 50 games, this 3rd edition continues to meet the needs teachers working with learners, who have difficulty with maths and numbers.

256 pages

Age Range: 6 to 14

2021

ISBN: 9781529744323

The new edition of the bestselling 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 maths and number.

Now with over 200 activities and 50 games, new and improved illustrations, and an expanded list of recommended readings, useful websites & resources, the new edition also includes exclusive access to a brand 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 organised by teaching point and section
- Over 70 pages of downloadable and printable teaching materials including activity sheets, game boards, teaching resources & summary tables.

Packed full of 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.

#### Table of Contents

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

"The new dyscalculia toolkit has a great introduction that is broken down into manageable chunks, brilliant explanations and interesting reading. The new tables explain what each game entails at the start of the book, making planning and using the toolkit much easier and effective especially if short on time! Very enjoyable to read, and highly recommended."

- *Karen Jones, Chartered Educational Psychologist, The Educational Guidance Service*