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This book combines theory and practice to enable successful mathematical education for children from birth to twelve years. It considers how students, academics, parents and professionals can develop their mathematical thinking practice whilst acknowledging we will always be practising the craft of teaching mathematics.
Caroline McGrath began her studies in Dublin on an analytical science degree. After qualifying with a Post Graduate Certificate in Education she worked as an early years teacher and lectured in early childhood studies. She achieved the Postgraduate Diploma in Professional Studies in Education (Specific Learning Difficulties/Dyslexia) and was awarded the Hornsby Certificate of Professional Practice. She completed a master's and a doctorate and writes from first-hand experience teaching.
Foreword Anne D. Cockburn Introduction 1. Mediators of Mathematical thinking: Models and Minds 2. Mathematical Thinking and Problem Solving 3. Fear, anxiety and other emotions 4. General Principles and Practical Implications for Early Years Mathematics 5. Specific Principles and Practical Implications for Early Years Mathematics 6. Early Years Mathematics 7. Understanding Pattern, Pre-algebraic and Algebraic thinking 8. Naming, Renaming and Processing Numbers 9. Understanding Addition and Subtraction: Mental Strategies 10. Understanding Addition and Subtraction: Formal Algorithms 11. Multiplication and Division: Mental Strategies 12. Understanding Multiplication and Division: Formal Algorithms 13. Statistics, Statistical diagrams and Probability 14. Measure 15. Geometry References