Understanding and Teaching Primary Mathematics - Cotton, Tony (Taylor and Francis, 2014)
How would you teach the concept of odd and even numbers to a child?What is the probability of throwing a three on a six-sided die?How could you help a child who is confusing ratio and proportion?By seamlessly combining subject knowledge and pedagogy, the second edition of Understanding and Teaching Primary Mathematics will not only build your own confidence in mathematics, but also equip you with the curriculum understanding and pedagogical know-how to excel at teaching maths to children of any age. Written in a clear and accessible way, the book guides you through the fundamental ideas which a
Cover; Title; Copyright; CONTENTS; Preface to the third edition; Acknowledgements; Guided tour; Chapter 1 Teaching and learning primary mathematics; Introduction; Starting point; Why is mathematical subject knowledge important?; What is good mathematical subject knowledge?; What makes a 'good' teacher of mathematics?; How will this book develop my subject knowledge?; A framework for teaching mathematics; Foundations for learning mathematics; Organisation of the book; The companion website; Summary; Going further; Chapter 2 What should I know? What do I know?; Introduction; Starting point
Auditing your current knowledgeSummary; Going further; Chapter 3 Problem solving using mathematics; Introduction; Starting point; Progression in problem solving using mathematics; Big ideas; Enquiry and problem solving; Representing; Reasoning and communication; Teaching points; In practice; Rationale and evaluation; Observing problem solving using mathematics; Assessing problem solving using mathematics; Cross-curricular teaching of problem solving; Summary; Reflections on this chapter; Going further; Self-audit; Chapter 4 Number: Counting; place value; fractions, decimals and percentages
IntroductionStarting point; Progression in counting; place value; fractions, decimals, percentages and proportionality; Big ideas; Teaching points; In practice; Rationale and evaluation; Observing counting and understanding number; Assessing counting and understanding number; A cross-curricular project involving counting and understanding number; Summary; Reflections on this chapter; Going further; Self-audit; Chapter 5 Number: Knowing and using number facts; Introduction; Starting point; Progression in knowing and using number facts; Big ideas; Teaching points; In practice
Rationale and evaluationObserving the teaching of knowing and using number facts; Assessing knowing and using number facts; Cross-curricular teaching of knowing and using number facts; Summary; Reflections on this chapter; Going further; Self-audit; Chapter 6 Number: Calculation (addition, subtraction, multiplication and division); Introduction; Starting point; Progression in calculation; Big ideas; Teaching points; In practice; Rationale and evaluation; Observing the teaching of calculation; Assessing calculation; Cross-curricular teaching of calculation; Summary; Reflections on this chapter