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Contents
- Introduction and guidance
- What is a badged open course?
- How to get a badge
- 1 How children develop number sense
- 2 Developing mental methods
- 3 Developing formal written calculation methods
- 4 The concept of place value and decimals
- 5 This week’s quiz
- 6 Summary of Week 1
- 1 Equivalence as a concept applied to fractions, decimals and percentages
- 2 Approaches to teaching fractions
- 3 Approaches to teaching percentages
- 4 This week’s quiz
- 5 Summary of Week 2
- 1 Developing proportional reasoning and an appreciation of multiplicative structure
- 2 Problem solving using proportional reasoning, including common misconceptions
- 3 Connecting ratio and proportional reasoning
- 4 This week’s quiz
- 5 Summary of Week 3
- 1 Mathematical sentences and algebraic expressions
- 2 Finding the general in the particular
- 3 The equals sign
- 4 This week’s quiz
- 5 Summary of Week 4
- 1 Function machines
- 2 Sequences as functions
- 3 Extending functions: variables and graphs
- 4 This week’s quiz
- 5 Summary of Week 5
- 1 How children think and reason about geometric shapes
- 2 Investigating the properties of triangles and quadrilaterals
- 3 Developing problem-solving skills in geometry
- 4 This week’s quiz
- 5 Summary of Week 6
- 1 Measures and measuring
- 2 Reading measures and accuracy
- 3 Teaching angle measures and angle facts
- 4 Teaching about area and volume
- 5 This week’s quiz
- 6 Summary of Week 7
- 1 Collecting data and illustrating it in charts
- 2 Developing data sense and forming sensible conclusions
- 3 Charts and graphs asvisual representations of data
- 4 Addressing common misconceptions with probability
- 5 Making the connections between theoretical and experimental probability
- 6 This week’s quiz
- 7 Summary of Week 8
- 8 Conclusion
- Tell us what you think
- References
- Further Reading
- Acknowledgements
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