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!

Addition and subtraction with negative numbers

Where do students do well and where do they struggle with addition and subtraction with negative numbers? And what can we do to help?

18 Lessons