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Book Description

A seminal handbook in the field for more than 20 years, this new and updated edition of Mathematics for Dyslexicsand Dyscalculics contains the latest research and best practices for helping learners with numerical and mathematical difficulties.

  • Provides a complete overview of theory and research in the fields of dyslexia and dyscalculia, along with detailed yet pragmatic methods to apply in the classroom
  • Contains enhanced coverage of place value and the role of the decimal point, why fractions can challenge a developed logic for arithmetic, and the complexity of time along with new material on addressing anxiety, fear, motivation, and resilience in the classroom; and links to new resources including standardized tests and recommended reading lists
  • Written by two mathematics teachers with 50 years of teaching experience between them, much of it in specialist settings for students with specific learning difficulties
  • Offers effective teaching strategies for learners of all ages in a structured but accessible format

Table of Contents

  1. Cover
  2. Title Page
  3. Foreword
  4. 1 Dyscalculia, Dyslexia and Mathematics
    1. Introduction
    2. Definitions of Dyslexia
    3. The Evolution of Definitions of (Developmental) Dyscalculia
    4. The Nature of Mathematics and the Ways it is Taught
  5. 2 Factors that may Contribute to Learning Difficulties in Mathematics
    1. Potential Areas of Difficulty in Learning Mathematics
    2. General Principles of Intervention
    3. Summary
  6. 3 Cognitive (Thinking) Style in Mathematics
    1. Introduction
    2. Qualitative and Quantitative Style
    3. Cognitive (Thinking) Style in the Classroom
    4. Examples
    5. Summary
  7. 4 Testing and Diagnosis
    1. A Diagnostic Test Protocol
    2. Structure of the Diagnostic Protocol
    3. Attitude and Anxiety
    4. Thinking Style or Cognitive Style
    5. Tests for Dyscalculia
    6. Summary of the Test Protocol
  8. 5 Concept of Number
    1. Introduction
    2. Early Recognition of Numbers and Their Values
    3. The Language of Mathematics (see also Chapter 2)
    4. Early Number Work
    5. Visual Sense of Number
    6. Visual Clues to Number Concept
    7. Number Bonds/Combinations
    8. Place Value
    9. Number Bonds/Combinations for Ten
    10. Numbers Near Ten, Hundred or Thousand
    11. Summary
  9. 6 Addition and Subtraction
    1. Introduction
    2. Strategies for Learning/Remembering the Addition and Subtraction Facts
    3. Overview
    4. Subtraction Facts
    5. Extension
  10. 7 The Times Tables Facts/Number Combinations
    1. Introduction
    2. Rote Learning Strategies
    3. Learning by Understanding
    4. The Commutative Property
    5. Learning the Table Square
    6. Summary
  11. 8 Computational Procedures for Addition and Subtraction
    1. Estimation
    2. Addition
    3. Teaching Subtraction as a Separate Exercise
  12. 9 Multiplication
    1. Introduction
    2. Multiplying by Ten and Powers of Ten
    3. Multiplication
    4. Estimation
    5. Extension
  13. 10 Division
    1. Introduction
    2. Introduction to Division
    3. Estimating
    4. Division by Powers of Ten
    5. Division by Multiples of Powers of Ten
    6. Conclusion
  14. 11 Fractions, Decimals and Percentages
    1. Introduction
    2. Fractions
    3. Decimals
    4. Percentages
    5. Overview
  15. 12 Operating with Fractions
    1. Introduction
    2. Making Segment Sizes the Same
    3. Comparing Fractions
    4. Combining Fractions
    5. Adding Fractions
    6. Subtracting Fractions
    7. Combined Additions and Subtractions
    8. Multiplying by Fractions
    9. Multiplying Mixed Fractions
    10. Dividing with Fractions
  16. 13 Decimals
    1. Introduction
    2. Addition and Subtraction
    3. Multiplication and Division by Powers of Ten
    4. Division of Decimals
    5. Summary
  17. 14 Percentages
    1. Introduction
    2. An Image of Percentage
    3. Summary
  18. 15 Time
    1. What are the Potential Problems with Time?
    2. Reading the Time
    3. Time Problems
    4. Summary
  19. 16 Teaching the Full Curriculum
    1. Introduction
    2. Some General Principles
    3. Teaching the Other Parts of the Curriculum
    4. Combining the Parts of the Curriculum
    5. Summary
  20. 17 Attacking and Checking Questions
    1. Practice Examples
    2. Preliminary Checks
    3. Attacking Questions
    4. Methods of Attacking Questions
    5. Checking
  21. 18 Important Elements of a Teaching Programme
    1. Introduction
    2. Consider the Pupils’ Needs
    3. The Structure of the Course
    4. Classroom Management: Making the Lessons Suit the Pupils
    5. Evolving Expectations and Emphases
    6. Internal Assessment
    7. Summary
  22. Appendix 1: Books, Journals, Tests and Games
    1. Books
    2. Journals
    3. Suppliers of Software
    4. Video tutorials
    5. Tests
    6. Games
  23. Appendix 2: Teaching Materials
    1. Suppliers
    2. Coloured overlays
  24. References
  25. Index
  26. End User License Agreement
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