- £15
Negative numbers
Where do students struggle with negative numbers, where do they come from, and what can we do to help our students?
Course overview
In this course we take a deep dive into the wonderful world of negative numbers. Using data from 200+ million answers on my Diagnostic Questions website we see what students do well at, where they struggle, and what we can do to help them.
The areas we cover are:
The areas we cover are:
- Ordering negative numbers
- Addition and subtraction with negative numbers
- Multiplication and division with negative numbers
- Method selection
- Interweaving with negative numbers
This workshop is ideal to enhance your subject knowledge, as well as providing a framework for planning sequences of lessons that can be applied to all topics in mathematics.
This course can be completed on your own, with a colleague, or as a department*.
It is suitable for secondary school teachers (teaching students age 11 to 16) and also primary teachers teaching Years 5 and 6 (9 to ll year olds).
For answers to the most frequently asked aspects of my online courses, please visit the FAQs section at the bottom of the homepage here.
*Please note: The prices of the course is per person. It is not permitted to buy a single log-in and then share it with colleagues, or show the videos to a number of people at a meeting or training event. Hopefully you agree that the courses represent good value for money, and I need to ensure I protect my livelihood. If you wish to discuss bulk purchase discounts or using my materials in another form, please drop me an email at mrbartonmaths@gmail.com. Thanks so much for your understanding.
Video introduction
Contents
Background
Where do the questions and data come from... and how can you get hold of them!
1. Where do the questions come from?
- 3 mins
- 46.8 MB
2. Where does the data come from?
- 2 mins
- 25 MB
3. How to get the data and explanations
- 2 mins
- 14.9 MB
4. A few thoughts about mistakes and misconceptions
- 10 mins
- 167 MB
What students meet and when
When do students in England first experience the key ideas within negative numbers?
1. The challenge
- 2 mins
- 44.5 MB
IMAGE - What do students meet and when?
- 37.5 KB
2. The answers revealed
- 4 mins
- 125 MB
Ordering negative numbers
Where do students do well and where do they struggle with ordering negative numbers? And what can we do to help?
1. Introduction
- 1 min
- 9.44 MB
2. What do students do well?
- 6 mins
- 109 MB
3. Where do students go wrong?
- 2 mins
- 23.8 MB
Question 1
- 111 KB
4. Question 1 - the results
- 4 mins
- 116 MB
Question 2
- 84.9 KB
5. Question 2 - the results
- 4 mins
- 77.8 MB
Question 3
- 86.9 KB
6. Question 3 - the results
- 4 mins
- 70.7 MB
7. Reflection
- 1 min
- 8.26 MB
8. What can we do to help?
- 1 min
- 7.49 MB
9. Resource - Interactive numberline
- 2 mins
- 27.2 MB
10. Resource - Temperature change
- 4 mins
- 76.1 MB
11. Resource - Language
- 11 mins
- 18.5 MB
12. Reflection
- 1 min
- 12.5 MB
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?
1. Introduction
- 1 min
- 8.66 MB
2. What do students do well?
- 3 mins
- 43.2 MB
3. Where do students go wrong?
- 2 mins
- 23.8 MB
Question 1
- 91.1 KB
4. Question 1 - the results
- 5 mins
- 78.2 MB
Question 2
- 153 KB
5. Question 2 - the results
- 3 mins
- 95.2 MB
Question 3
- 87.5 KB
6. Question 3 - the results
- 5 mins
- 113 MB
7. Reflection
- 1 min
- 9.74 MB
8. What can we do to help?
- 1 min
- 7.49 MB
9. Resource - Patterns
- 8 mins
- 16.2 MB
10. Resource - Directed number counters
- 3 mins
- 39.9 MB
11. Resource - Alternate representations
- 3 mins
- 42.2 MB
12. Resource - Integer targets
- 3 mins
- 42.1 MB
13. Resource - Venn Diagram
- 4 mins
- 71.7 MB
14. Resource - Temperature changes
- 3 mins
- 53.9 MB
15. Reflection
- 1 min
- 14.3 MB
Multiplication and division with negative numbers
Where do students do well and where do they struggle with multiplication and division with negative numbers? And what can we do to help?
1. Introduction
- 1 min
- 6.71 MB
2. What do students do well?
- 3 mins
- 5.42 MB
3. Where do students go wrong?
- 2 mins
- 23.8 MB
Question 1
- 95.1 KB
4. Question 1 - the results
- 3 mins
- 76.4 MB
Question 2
- 93 KB
5. Question 2 - the results
- 2 mins
- 44.8 MB
Question 3
- 312 KB
6. Question 3 - the results
- 2 mins
- 36.7 MB
Question 4
- 139 KB
7. Question 4 - the results
- 3 mins
- 72.4 MB
8. Reflection
- 1 min
- 8.76 MB
9. What can we do to help?
- 1 min
- 7.49 MB
10. Resource - Action words
- 5 mins
- 122 MB
DOWNLOAD - Maths Action Words
- 77.6 KB
11. Resource - Use of calculator
- 5 mins
- 74.2 MB
12. Resource - Structured variation grid
- 7 mins
- 315 MB
DOWNLOAD - NumberGrid
- 92.3 KB
13. Reflection
- 1 min
- 13.7 MB
Method selection with negative numbers
Where do students do well and where do they struggle with method selection with negative numbers? And what can we do to help?
1. Introduction
- 2 mins
- 23.1 MB
2. Success and struggle
- 5 mins
- 113 MB
3. What can we do to help?
- 3 mins
- 51.3 MB
4. Resource - Four operations practice
- 4 mins
- 12.3 MB
5. Resource - Practice makes perfect
- 4 mins
- 108 MB
6. Resource - Standards units
- 3 mins
- 92.5 MB
7. Resource - SSDD Problems
- 2 mins
- 33.2 MB
8. Resource - Retrieval opportunities
- 3 mins
- 50.3 MB
9. Reflection
- 1 min
- 8.84 MB
Interweaving with negative numbers
Where do students do well and where do they struggle with interweaving with negative numbers? And what can we do to help?
1. Introduction
- 1 min
- 9.22 MB
2. Success and struggle
- 4 mins
- 73.2 MB
IMAGE - The forgetting curve
- 82.2 KB
Question 1
- 75.6 KB
3. Question 1 - the results
- 2 mins
- 28.6 MB
Question 2
- 77.6 KB
4. Question 2 - the results
- 3 mins
- 46.5 MB
Question 3
- 84.2 KB
5. Question 3 - the results
- 3 mins
- 41 MB
Question 4
- 83 KB
6. Question 4 - the results
- 3 mins
- 47.1 MB
7. Reflection
- 1 min
- 7.05 MB
8. What can we do to help?
- 1 min
- 7.49 MB
9. Resource - Schemes of work
- 4 mins
- 88.4 MB
10. Resource - Fill in the gaps
- 2 mins
- 45.2 MB
11. Resource - Increasingly difficult questions
- 3 mins
- 62.5 MB
12. Reflection
- 1 min
- 9.26 MB
Wrap-up
A few things before we say goodbye
1. A possible planning structure
- 7 mins
- 147 MB
IMAGE - A possible planning structure
- 353 KB
2. Reflection
- 4 mins
- 94.7 MB
3. My online courses
Preview- 5 mins
- 111 MB
Links to my other work
Here are some links to my other work that you may (or may not!) be interested in
My books
- 35.2 KB
My podcasts
- 73.5 KB
My websites
- 34.1 KB
Other stuff!
- 72.2 KB