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Mathematical Thinking for Primary
Mathematical Thinking for Primary
Mathematical Thinking for Primary
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Mathematical Thinking for Primary

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Mathematical thinking, much like language, begins to develop early in life. Yet, while we celebrate the exceptional talents of mathematical prodigies like Ruth Lawrence or McLaren, we often fail to nurture these skills at the primary level, where they can have the greatest impact. This book aims to fill that gap. Designed for young learners, it focuses on building mathematical reasoning with minimal prerequisites—just basic addition, subtraction, and simple multiplication. Not only does it help consolidate these foundational skills, but it also introduces problem-solving strategies that will prove invaluable, especially for students preparing for the 11+ exams. With the UK's GCSE math pass rate at just 40%, the need for a more innovative approach is clear. Give your child the advantage they deserve by introducing them to this unique and practical resource.

LanguageEnglish
Publisherpervaiz salik
Release dateDec 1, 2024
ISBN9798230222842
Mathematical Thinking for Primary
Author

Pervaiz Salik

Author's BackgroundI have an honours degree in Mathematics from the Open University and taught in Scotland before gaining an M.A. in English Literature.I taught English to O Level International GCSE Cambridge students for 14 years in Pakistan and was Head of Department.My Haiku is published in UNESCO’S Cultural Report 2000. One of my stories (in a much shorter form) was accepted for publication by Oxford University Press, but never published. I have published ten e-books on short stories, essays, poems, spelling and religion on Amazon and smashwords.(Pervaiz Salik)July 2015

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    Book preview

    Mathematical Thinking for Primary - Pervaiz Salik

    Mathematical Thinking for

    Primary Classes

    Pervaiz Salik

    Published by Pervaiz Salik,

    2024.MATHEMATICAL THINKING FOR PRIMARY CLASSES

    First edition. December 15, 2024.

    Copyright © 2024 Pervaiz Salik.

    ISBN: 979-8230222842

    PREFACE

    Mathematics is the language in which God has written the universe said the great Italian astronomer and physicist Galileo Galilei. Certainly, like the acquisition of language, it develops very early. not only in mathematical geniuses like Gauss or Rao, but also in many young prodigies like Ruth Lawrence. They can think mathematically from an early age; others require guidance.

    The dismal 40% pass rate in GCSE mathematics exposes the lack of mathematical thinking ability. The focus of mathematical teachers has been on content; hence, the students are not to blame. In fact, students only meet real mathematical logic at college.

    The goal of this book is to remedy this deficiency at the primary level, where it will have the maximum impact. Twenty-five tasks are presented that require only the very basic skills, mostly of addition, subtraction, and multiplication. They illustrate key mathematical concepts and techniques that teachers will developed and refine in secondary school and college. By teaching your young child these skills, you will give him/her the ability to master mathematics successfully later in their career.

    The method is as follows:

    1. Preliminary knowledge needed.

    2. The problem is presented with simple examples before the student tries it.

    3. The solution is given (with extension for abler students).

    4. The key mathematical skill/concept developed, and examples of its link to higher mathematics problems is presented.

    You do not need to understand point 4 to use this book.

    Contents

    PREFACE

    Lesson 1: Review: Addition and Multiplication

    Lesson 2: An Addition Trick

    Lesson 3: More Addition Tricks

    Lesson 4: Subtraction Tricks

    Lesson 5: Two Special Numbers

    Lesson 6:  Number Machines

    Lesson 7: Symmetry

    Lesson 8: The Search for a Pattern

    Lesson 9: A puzzle

    Lesson 10: The 9 Times Table and Commutative Property

    Lesson 11: The 9 times table: test of divisibility

    Lesson 12: The 9 times table: Casting Out Nines

    Lesson 13: Prime Numbers

    Lesson 14: More About Prime Numbers

    Lesson 15: 3-D Solids

    Lesson 16 : Introduction to Algebra

    Lesson 17 : Practical Mathematics

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