Background

• 1. Where do the questions come from?

• 2. Where does the data come from?

• 3. How to get the data and explanations

• 4. A few thoughts about mistakes and misconceptions

What students meet and when

• 1. The challenge

• IMAGE - What do students meet and when?

• 2. The answers revealed

Ordering negative numbers

• 1. Introduction

• 2. What do students do well?

• 3. Where do students go wrong?

• Question 1

• 4. Question 1 - the results

• Question 2

• 5. Question 2 - the results

• Question 3

• 6. Question 3 - the results

• 7. Reflection

• 8. What can we do to help?

• 9. Resource - Interactive numberline

• 10. Resource - Temperature change

• 11. Resource - Language

• 12. Reflection

Addition and subtraction with negative numbers

• 1. Introduction

• 2. What do students do well?

• 3. Where do students go wrong?

• Question 1

• 4. Question 1 - the results

• Question 2

• 5. Question 2 - the results

• Question 3

• 6. Question 3 - the results

• 7. Reflection

• 8. What can we do to help?

• 9. Resource - Patterns

• 10. Resource - Directed number counters

• 11. Resource - Alternate representations

• 12. Resource - Integer targets

• 13. Resource - Venn Diagram

• 14. Resource - Temperature changes

• 15. Reflection

Multiplication and division with negative numbers

• 1. Introduction

• 2. What do students do well?

• 3. Where do students go wrong?

• Question 1

• 4. Question 1 - the results

• Question 2

• 5. Question 2 - the results

• Question 3

• 6. Question 3 - the results

• Question 4

• 7. Question 4 - the results

• 8. Reflection

• 9. What can we do to help?

• 10. Resource - Action words

• DOWNLOAD - Maths Action Words

• 11. Resource - Use of calculator

• 12. Resource - Structured variation grid

• DOWNLOAD - NumberGrid

• 13. Reflection

Method selection with negative numbers

• 1. Introduction

• 2. Success and struggle

• 3. What can we do to help?

• 4. Resource - Four operations practice

• 5. Resource - Practice makes perfect

• 6. Resource - Standards units

• 7. Resource - SSDD Problems

• 8. Resource - Retrieval opportunities

• 9. Reflection

Interweaving with negative numbers

• 1. Introduction

• 2. Success and struggle

• IMAGE - The forgetting curve

• Question 1

• 3. Question 1 - the results

• Question 2

• 4. Question 2 - the results

• Question 3

• 5. Question 3 - the results

• Question 4

• 6. Question 4 - the results

• 7. Reflection

• 8. What can we do to help?

• 9. Resource - Schemes of work

• 10. Resource - Fill in the gaps

• 11. Resource - Increasingly difficult questions

• 12. Reflection

Wrap-up

• 1. A possible planning structure

• IMAGE - A possible planning structure

• 2. Reflection

• 3. My online courses

Links to my other work

• My books

• My podcasts

• My websites

• Other stuff!