Negative numbers
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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!

Negative numbers

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Where do students struggle with negative numbers, where do they come from, and what can we do to help our students?