Dyscalculia Toolkit

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 x 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: x 5 is half of x 10 Activity - How many 10s? So, twice as many 5s Activity - x 9 is almost x 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

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