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Dedication
by Richard Edmund Ashcroft, Steve Chinn
Mathematics for Dyslexics and Dyscalculics, 4th Edition
Cover
Title Page
Foreword
1 Dyscalculia, Dyslexia and Mathematics
Introduction
Definitions of Dyslexia
The Evolution of Definitions of (Developmental) Dyscalculia
The Nature of Mathematics and the Ways it is Taught
2 Factors that may Contribute to Learning Difficulties in Mathematics
Potential Areas of Difficulty in Learning Mathematics
General Principles of Intervention
Summary
3 Cognitive (Thinking) Style in Mathematics
Introduction
Qualitative and Quantitative Style
Cognitive (Thinking) Style in the Classroom
Examples
Summary
4 Testing and Diagnosis
A Diagnostic Test Protocol
Structure of the Diagnostic Protocol
Attitude and Anxiety
Thinking Style or Cognitive Style
Tests for Dyscalculia
Summary of the Test Protocol
5 Concept of Number
Introduction
Early Recognition of Numbers and Their Values
The Language of Mathematics (see also Chapter 2)
Early Number Work
Visual Sense of Number
Visual Clues to Number Concept
Number Bonds/Combinations
Place Value
Number Bonds/Combinations for Ten
Numbers Near Ten, Hundred or Thousand
Summary
6 Addition and Subtraction
Introduction
Strategies for Learning/Remembering the Addition and Subtraction Facts
Overview
Subtraction Facts
Extension
7 The Times Tables Facts/Number Combinations
Introduction
Rote Learning Strategies
Learning by Understanding
The Commutative Property
Learning the Table Square
Summary
8 Computational Procedures for Addition and Subtraction
Estimation
Addition
Teaching Subtraction as a Separate Exercise
9 Multiplication
Introduction
Multiplying by Ten and Powers of Ten
Multiplication
Estimation
Extension
10 Division
Introduction
Introduction to Division
Estimating
Division by Powers of Ten
Division by Multiples of Powers of Ten
Conclusion
11 Fractions, Decimals and Percentages
Introduction
Fractions
Decimals
Percentages
Overview
12 Operating with Fractions
Introduction
Making Segment Sizes the Same
Comparing Fractions
Combining Fractions
Adding Fractions
Subtracting Fractions
Combined Additions and Subtractions
Multiplying by Fractions
Multiplying Mixed Fractions
Dividing with Fractions
13 Decimals
Introduction
Addition and Subtraction
Multiplication and Division by Powers of Ten
Division of Decimals
Summary
14 Percentages
Introduction
An Image of Percentage
Summary
15 Time
What are the Potential Problems with Time?
Reading the Time
Time Problems
Summary
16 Teaching the Full Curriculum
Introduction
Some General Principles
Teaching the Other Parts of the Curriculum
Combining the Parts of the Curriculum
Summary
17 Attacking and Checking Questions
Practice Examples
Preliminary Checks
Attacking Questions
Methods of Attacking Questions
Checking
18 Important Elements of a Teaching Programme
Introduction
Consider the Pupils’ Needs
The Structure of the Course
Classroom Management: Making the Lessons Suit the Pupils
Evolving Expectations and Emphases
Internal Assessment
Summary
Appendix 1: Books, Journals, Tests and Games
Books
Journals
Suppliers of Software
Video tutorials
Tests
Games
Appendix 2: Teaching Materials
Suppliers
Coloured overlays
References
Index
End User License Agreement
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Copyright
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Foreword
Dedicated to the memory of our dear friend and colleague, Lyn Rawles
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