Mathematics for dyslexics and dyscalculics : a teaching handbook / Steve Chinn and Richard E. Ashcroft.

By: Chinn, Stephen J
Contributor(s): Ashcroft, Richard E
Language: English Publisher: Chichester, West Sussex ; Malden, MA : Wiley Blackwell, 2017Edition: Fourth editionDescription: 1 online resource (xii, 346 pages) : illustrationsContent type: text Media type: unmediated Carrier type: volumeISBN: 9781119159964 ; 9781119159995Uniform titles: Mathematics for dyslexics Subject(s): Mathematics -- Study and teaching | Dyslexic children -- Education | Acalculia | Mathematical abilityGenre/Form: Electronic books.DDC classification: 371.91/44 LOC classification: QA11.2 | .C47 2017Online resources: Full text available at Wiley Online Library Click here to view
Contents:
TABLE OF CONTENTS Foreword xi 1 Dyscalculia, Dyslexia and Mathematics 1 Introduction 1 Definitions of Dyslexia 3 The Evolution of Definitions of (Developmental) Dyscalculia 5 The Nature of Mathematics and the Ways it is Taught 19 2 Factors that may Contribute to Learning Difficulties in Mathematics 23 Potential Areas of Difficulty in Learning Mathematics 24 General Principles of Intervention 44 Summary 46 3 Cognitive (Thinking) Style in Mathematics 48 Introduction 48 Qualitative and Quantitative Style 49 Cognitive (Thinking) Style in the Classroom 51 Examples 54 Summary 61 4 Testing and Diagnosis 62 A Diagnostic Test Protocol 64 Structure of the Diagnostic Protocol 65 Attitude and Anxiety 73 Thinking Style or Cognitive Style 74 Tests for Dyscalculia 74 Summary of the Test Protocol 74 5 Concept of Number 76 Introduction 76 Early Recognition of Numbers and Their Values 78 The Language of Mathematics (see also Chapter 2) 79 Early Number Work 79 Visual Sense of Number 82 Visual Clues to Number Concept 83 Number Bonds/Combinations 84 Place Value 86 Number Bonds/Combinations for Ten 93 Numbers Near Ten, Hundred or Thousand 94 Summary 95 6 Addition and Subtraction: Basic Facts/Number Combinations 96 Introduction 96 Strategies for Learning/Remembering the Addition and Subtraction Facts 99 Overview 107 Subtraction Facts 108 Extension 109 7 The Times Tables Facts/Number Combinations 110 Introduction 110 Rote Learning Strategies 110 Learning by Understanding 113 The Commutative Property 115 Learning the Table Square 117 Summary 135 8 Computational Procedures for Addition and Subtraction 136 Estimation 138 Addition 138 Teaching Subtraction as a Separate Exercise 147 9 Multiplication 152 Introduction 152 Multiplying by Ten and Powers of Ten 153 Multiplication 157 Estimation 163 Extension 163 10 Division: Whole Numbers 165 Introduction 165 Introduction to Division 166 Estimating 172 Division by Powers of Ten 173 Division by Multiples of Powers of Ten 174 Conclusion 174 11 Fractions, Decimals and Percentages: An Introduction 175 Introduction 175 Fractions 176 Decimals 187 Percentages 195 Overview 203 12 Operating with Fractions 204 Introduction 204 Making Segment Sizes the Same 205 Comparing Fractions 207 Combining Fractions 210 Adding Fractions 212 Subtracting Fractions 216 Combined Additions and Subtractions 219 Multiplying by Fractions 221 Multiplying Mixed Fractions 224 Dividing with Fractions 227 13 Decimals 232 Introduction 232 Addition and Subtraction 232 Multiplication and Division by Powers of Ten 235 Division of Decimals 242 Summary 249 14 Percentages 250 Introduction 250 An Image of Percentage 250 Summary 256 15 Time 257 What are the Potential Problems with Time? 258 Reading the Time 260 Time Problems 264 Summary 268 16 Teaching the Full Curriculum 269 Introduction 269 Some General Principles 270 Teaching the Other Parts of the Curriculum 277 Combining the Parts of the Curriculum 282 Summary 286 17 Attacking and Checking Questions 287 Practice Examples 287 Preliminary Checks 288 Attacking Questions 290 Methods of Attacking Questions 291 Checking 298 18 Important Elements of a Teaching Programme 303 Introduction 303 Consider the Pupils’ Needs 303 The Structure of the Course 304 Classroom Management: Making the Lessons Suit the Pupils 308 Evolving Expectations and Emphases 309 Internal Assessment 313 Summary 315 Appendices Appendix 1: Books, Journals, Tests and Games 316 Appendix 2: Teaching Materials 321 References 324 Index 337
Summary: 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
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371.9144 C4419 2017 (Browse shelf) Available CL-50863
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ABOUT THE AUTHOR
STEVE CHINN is an independent lecturer, writer and researcher, and Visiting Professor at the University of Derby, UK. He spent 24 years as headteacher of three specialist schools and was a mainstream teacher for 14 years. He was Founder and Principal of Mark College in Somerset, UK, a specialist residential school for young people with specific learning difficulties. In 2011 he set up and chaired the BDA's first subcommittee on dyscalculia. He has received the Marion Welchman International Award for Services to Dyslexia, and the Lady Radnor Award for Lifetime Services to Dyslexia. He has lectured and taught in over 30 countries worldwide and is the author of numerous books.

RICHARD ASHCROFT was headmaster at Mark College, UK, a specialist residential school for young people with specific learning difficulties. He taught mathematics at the secondary school level for almost 25 years. During his teaching career, he developed a series of teaching resources specifically for dyslexic students. He retired in 2006.

Includes bibliographical references and index.

TABLE OF CONTENTS
Foreword xi

1 Dyscalculia, Dyslexia and Mathematics 1

Introduction 1

Definitions of Dyslexia 3

The Evolution of Definitions of (Developmental) Dyscalculia 5

The Nature of Mathematics and the Ways it is Taught 19

2 Factors that may Contribute to Learning Difficulties in Mathematics 23

Potential Areas of Difficulty in Learning Mathematics 24

General Principles of Intervention 44

Summary 46

3 Cognitive (Thinking) Style in Mathematics 48

Introduction 48

Qualitative and Quantitative Style 49

Cognitive (Thinking) Style in the Classroom 51

Examples 54

Summary 61

4 Testing and Diagnosis 62

A Diagnostic Test Protocol 64

Structure of the Diagnostic Protocol 65

Attitude and Anxiety 73

Thinking Style or Cognitive Style 74

Tests for Dyscalculia 74

Summary of the Test Protocol 74

5 Concept of Number 76

Introduction 76

Early Recognition of Numbers and Their Values 78

The Language of Mathematics (see also Chapter 2) 79

Early Number Work 79

Visual Sense of Number 82

Visual Clues to Number Concept 83

Number Bonds/Combinations 84

Place Value 86

Number Bonds/Combinations for Ten 93

Numbers Near Ten, Hundred or Thousand 94

Summary 95

6 Addition and Subtraction: Basic Facts/Number Combinations 96

Introduction 96

Strategies for Learning/Remembering the Addition and Subtraction Facts 99

Overview 107

Subtraction Facts 108

Extension 109

7 The Times Tables Facts/Number Combinations 110

Introduction 110

Rote Learning Strategies 110

Learning by Understanding 113

The Commutative Property 115

Learning the Table Square 117

Summary 135

8 Computational Procedures for Addition and Subtraction 136

Estimation 138

Addition 138

Teaching Subtraction as a Separate Exercise 147

9 Multiplication 152

Introduction 152

Multiplying by Ten and Powers of Ten 153

Multiplication 157

Estimation 163

Extension 163

10 Division: Whole Numbers 165

Introduction 165

Introduction to Division 166

Estimating 172

Division by Powers of Ten 173

Division by Multiples of Powers of Ten 174

Conclusion 174

11 Fractions, Decimals and Percentages: An Introduction 175

Introduction 175

Fractions 176

Decimals 187

Percentages 195

Overview 203

12 Operating with Fractions 204

Introduction 204

Making Segment Sizes the Same 205

Comparing Fractions 207

Combining Fractions 210

Adding Fractions 212

Subtracting Fractions 216

Combined Additions and Subtractions 219

Multiplying by Fractions 221

Multiplying Mixed Fractions 224

Dividing with Fractions 227

13 Decimals 232

Introduction 232

Addition and Subtraction 232

Multiplication and Division by Powers of Ten 235

Division of Decimals 242

Summary 249

14 Percentages 250

Introduction 250

An Image of Percentage 250

Summary 256

15 Time 257

What are the Potential Problems with Time? 258

Reading the Time 260

Time Problems 264

Summary 268

16 Teaching the Full Curriculum 269

Introduction 269

Some General Principles 270

Teaching the Other Parts of the Curriculum 277

Combining the Parts of the Curriculum 282

Summary 286

17 Attacking and Checking Questions 287

Practice Examples 287

Preliminary Checks 288

Attacking Questions 290

Methods of Attacking Questions 291

Checking 298

18 Important Elements of a Teaching Programme 303

Introduction 303

Consider the Pupils’ Needs 303

The Structure of the Course 304

Classroom Management: Making the Lessons Suit the Pupils 308

Evolving Expectations and Emphases 309

Internal Assessment 313

Summary 315

Appendices

Appendix 1: Books, Journals, Tests and Games 316

Appendix 2: Teaching Materials 321

References 324

Index 337

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

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