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· 분류 : 외국도서 > 교육/자료 > 교육 > 중등교육
· ISBN : 9781032691954
· 쪽수 : 422쪽
· 출판일 : 2024-09-17
목차
Contents
Preface to fifth edition
Acknowledgements
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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
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Chapter 2: What Should I Know? What Do I Know?
Introduction
Starting point
Auditing your current knowledge
Summary
Going further
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Chapter 3: Recent developments in mathematics teaching
Introduction
Growth mindset
Cognitive load theory
What is Singapore mathematics?
A history of teaching for mastery
What is teaching for mastery?
Developing teaching for mastery in your classroom
Mathematical thinking
Variation
Summary
Going further
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Chapter 4: Problem Solving Using Mathematics
Introduction
Progression in problem solving using mathematics
Big ideas
Teaching points
In practice
Assessing problem solving using mathematics
Cross-curricula teaching of problem solving
Summary
Reflections on this chapter
Going further
?
Chapter 5: Counting: place value; fractions, decimals and percentages
Introduction
Progression in counting: place value; fractions, decimals and percentages
Big ideas
Teaching points
In practice
Assessing counting: place value; fractions, decimals and percentages
Cross-curricula teaching of counting: place value; fractions, decimals and percentages
Summary
Reflections on this chapter
Going further
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Chapter 6: Knowing and using number facts
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Introduction
Progression in knowing and using number facts
Big ideas
Teaching points
In practice
Assessing knowing and using number facts
Cross-curricula teaching of knowing and using number facts
Summary
Reflections on this chapter
Going further
?
Chapter 7: Calculation: addition, subtraction, multiplication and division
Introduction
Progression in calculation: addition, subtraction, multiplication and division
Big ideas
Teaching points
In practice
Assessing calculation: addition, subtraction, multiplication and division
Cross-curricula teaching of calculation: addition, subtraction, multiplication and division
Summary
Reflections on this chapter
Going further
?
Chapter 8: Algebra
Introduction
Progression in algebra
Big ideas
Teaching points
In practice
Assessing algebra
Cross-curricula teaching of algebra
Summary
Reflections on this chapter
Going further
?
Chapter 9: Geometry: Properties of shapes; position and direction
Introduction
Progression in properties of shapes; position and direction
Big ideas
Teaching points
In practice
Assessing properties of shapes; position and direction
Cross-curricula teaching? of properties of shapes; position and direction
Reflections on this chapter
Going further
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Chapter 10: Measurement
Introduction
Progression in measurement
Big ideas
Teaching points
In practice
Assessing measurement
Cross-curricula teaching? of measurement
Reflections on this chapter
Going further
?
Chapter 11: Statistics and Handling Data
Introduction
Progression in statistics and handling data
Big ideas
Teaching points
In practice
Assessing statistics and handling data
Cross-curricula teaching? of statistics and handling data
Reflections on this chapter
Going further
?
Chapter 12: Teaching and Learning Mathematics in the Early Years
Introduction
Starting point
Problem solving, reasoning and numeracy
Young children learning number
Young children learning measures
Young children learning shape and space
Young children learning algebra
Creating a mathematically rich environment
Assessment in the early years
Summary
Refections on this chapter
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Chapter 13: Issues of Inclusion
Introduction
Starting point
Children with special educational needs
Pupils learning English as an additional language (EAL)
Pupils with social, emotional and mental health needs
Autistic pupils
Pupils with developmental coordination disorder (DCD or dyspraxia)
Dyslexic pupils
Pupils with dyscalculia
Pupils who are gifted and talented
Multicultural and anti-racist approaches
Summary
Reflections on this chapter
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Chapter 14: ICT and the Use of Calculators in Teaching and Learning Mathematics
Introduction
Starting point
Progression in using calculators
A calculator aware curriculum
The appropriate use of personal computers and other devices
Summary
Reflections on this chapter
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