1. Growth Mindset for KS3
Cindy Hunt, Subject Leader of Mathematics, Davison CE High School for Girls
Maria Stewart, Head of Mathematics and Science, St Andrew’s CE High School for Boys

2. Mathematical mindsets
Imagine your students joyfully immersed in really hard math problems. Imagine them begging to have their mistakes discussed in front of the class. Imagine them saying, “I am a math person!” This utopian vision is happening in classrooms around the world, and as you follow the advice in this book, you may well see it happening in your classroom too.
Carol Dweck (viii:2016)
Students have such strong and often negative ideas about math that they can develop a growth mindset about everything else in their life but still believe that you can either achieve highly in maths or you can’t. To change these damaging beliefs, students need to develop mathematical mindsets, …..
Jo Boaler (x:2016)
Mathematical Mindsets

3. Why is this important to students?
Teaching them how they learn will give them confidence to learn
Build self esteem
Help them identify that effort and not ability is linked to achievement
Practise makes perfect

4. Fixed vs Growth mindset
Assessing mindset – Dweck (2008)

5. A fixed mindset comes from the belief that your qualities are carved in stone – who you are is who you are, period. Characteristics such as intelligence, personality, and creativity are fixed traits, rather than something that can be developed. A growth mindset comes from the belief that your basic qualities are things you can cultivate through effort. Yes, people differ greatly – in aptitude, talents, interests, or temperaments - but everyone can change and grow through application and experience.

6. Youcubed – Week of Inspirational Maths

7. Growth Mindset Maths – ‘boxing up’
up.html

8. Boxing Up (A Mathematical Essay)
Maths Story
English Story
What is the question asking me? What information do I have?
Introduction
What Maths will I be using?
Main Story
Working out / Calculations
Answers, checking and presentation.
Conclusion

9. A recipe for 12 people uses 500g of plain flour
A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18 people?
Green Box - What is the question asking me? What information do I have?
How much flour is needed for 18 people?
12 people use 500g of plain flour.

10. A recipe for 12 people uses 500g of plain flour
A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18 people?
Blue Box - What maths will I be using?
Ratio / Proportion
Halving
Adding

11. A recipe for 12 people uses 500g of plain flour
A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18 people?
Red / Pink Box
Working out / calculations?
12 people = 500g
6 people = 250g
3 people = 125g
= 18 people
= 750g

12. A recipe for 12 people uses 500g of plain flour
A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18 people?
Yellow / Orange Box
Answers / Checking / Presentation
6 people = 250g
6 x 3 = 18
250 x 3 = 750

13. The answers are here

14. Boxing Up is a ....... Strategy for working out (for writing)
Strategy for discussing (asking each other questions)
Strategy for thinking (asking yourself questions)

15. In your boxes you have 3 question packs
Green – Simpler questions.
Pink – Slightly harder
Gold more challenging.

16. Your Task – Work in Pairs
Choose a question. Cut it out. Stick it on your A4 paper. Answer it using boxing up. Each pair should aim to complete two questions so that you all have an example to stick in your Maths books. You may end up doing the same question twice when it is your turn to train someone else.

17. Rules for Explaining
You can tell them what each box is for but you should ask them what goes inside.
Try not to give any answers, try to get the answers from them through questioning.
Be supportive / positive.

18. Post-its mean prizes 1 post it note = P1
At least 3 post it notes = a packet of Haribo
The person on the table with the most post it notes wins a chocolate bar.

19. A recipe for 12 people uses 500g of plain flour
A recipe for 12 people uses 500g of plain flour. How much flour is needed for 18 people?
How much flour is needed for 18 people?
12 people use 500g of plain flour.
Green Box - What is the question asking me? What information do I have?
Ratio / Proportion
Halving
Adding
Blue Box - What maths will I be using?
12 people = 500g
6 people = 250g
3 people = 125g
= 18 people
= 750g
Red / Pink Box
Working out / calculations?
Yellow / Orange Box
Answers / Checking / Presentation
6 people = 250g
6 x 3 = 18
250 x 3 = 750

20. The value of a vintage car rises from £36 000 to £63 000.
Gold Questions
A shopkeeper uses this formula to calculate the total cost when customers pay by monthly instalments.
C = d + 24 × m
C is the total cost in pounds.
 d is the deposit in pounds.
m is the monthly instalment in pounds.
(a)     The deposit for a wardrobe is £16.
          The monthly payments are £10.
          What is the total cost?
The value of a vintage car rises from £ to £
Work out the percentage increase in the price of the car.
Mutasem wants to buy two of these luxury chairs.
At which shop is the price of the two chairs the cheapest?
You must show your working.
Martha books a 14-night holiday in May. She books for herself, husband Billy and daughter Mary (aged 11). She books the holiday online. Explain clearly why the total cost will be £990.

21. Which is the best value for money
Pink Questions
Which is the best value for money
500g of sausages for £2.75 or 650g of the same type of sausage for £3.70?
You must show all your working.
The diagrams below show a rectangle and a parallelogram.
Kylie uses a piece of string to measure the perimeter of a shape. The string fits exactly round a rectangle 10cm by 8cm. She then fits it exactly round a square. How long is one side of the square?
Sara had £50 to spend on a day trip to France.
The exchange rate was ε 1.55 = £1
How many Euros did she get in exchange for her £50?
She saw a watch she liked priced at ε43. How much was the watch to the nearest penny?
3.7cm
3.7cm
6.1cm
6.1cm
Calculate the area of the rectangle.
Explain why the area of the parallelogram is equal to the area of the rectangle.

22. Green Questions Tickets: Age 16 and over £3.60 Under 16 £2.25
Two websites sell the same type of radio.
Sunil is going to buy the radio from one of the websites. He also has to pay for postage. Which website is cheaper and by how much.
People pay to visit a garden.
145 People pay.
39 of them are under 16.
How much ticket money is paid altogether.
The shaded rug is twice as long as it is wide.
The perimeter of the rectangle is 30cm
What is the area of the rectangle?
The price of a coat is £65
In a sale the price is reduced by 15%
What is the sale price of the coat?
Every day a machine makes 500 drawing pins and puts them into boxes.
The machine needs 15 drawing pins to fill a box.
How many boxes can be filled with the 500 drawing pins?
A special pack of apricots has 50% extra free. Fill in the missing number on the table.
Website A
Website B
Cost of radio
£79.99
£76.76
Cost of Postage
£3.49
£6.79
Tickets:
Age 16 and over £3.60
Under 16 £2.25
Weight
Number of apricots
Ordinary pack
450g 10
Special Pack g 15

23. Setting up positive norms in a maths class
content/uploads/2015/08/Norms-Poster-2015-UK.pdf

24. Building a mathematical mindset community
content/uploads/2016/10/Mindset-card-with-logo.pdf

25. Reflection What was the big idea we worked on today?
What did I learn today?
What good ideas did I have today?
In what situations could I use the knowledge I learned today?
What questions do I have about today’s work?
What new ideas do I have that this lesson made me think about?