1. Ready for a fold?

2. How many folds do you need to make to have this paper......
Look like this?
Can you do the folding in your head?

3. Can you think it through, without folding paper?
Explain in words, gestures or diagrams to someone else... See if they agree.

4. I am thinking: fold the white half backward, then fold the orange quarter up and to the back.
Two folds.

5. Step 1 Step 3 Step 2 Fold the orange half up and behind
fold the white half behind the colours
Step 2
Fold the orange half up and behind
Step 3

6. Ready for a fold?

7. I think I can do it in 2 folds.
How many folds do you need to make to have this paper......
End up like this?
I think I can do it in 2 folds.

8. Explain your solution on paper with diagrams and instructions.

9. Step 1: Fold the right half of the paper back
Step 1: Fold the right half of the paper back. You will fold vertically down the centre of the paper.
Step 2:
Fold the top one third of the page back to hide the blue

10. Done

11. Ready for a fold?

12. How many folds do you need to make to have this paper......
End up like this?

13. I found a way with 2 folds, what about you?

14. Step 1: fold the left half back along the vertical centre line
Turn this sheet over

15. Step 3: fold the blue section down and to the back so only orange shows.
Turn the sheet over

16. Ready for a fold?

17. End up like this?
How many folds do you need to make to have this paper......

18. Diagram a solution

19. Ready for a fold?

20. How many folds do you need to make to have this paper......
End up like this?
front
back
How many folds do you need to make to have this paper......

21. front
back
Diagram a solution

22. Ready for a challenge?

23. Start with this
End with this on the back
And this on the front

24. Spatial thinking and the development of "number sense" are linked.
Early spatial intelligence predicts a child's performance in mathematics.
(Newcombe et al 2015; Verdine et al 2014).

25. Practicing tasks like this will improve your arithmetic abilities.
Mix&Cheng, 2012;Zhang et al, 2014

26. Paper-folding activities in mathematics address some of the goals for teaching and learning mathematics in the 21st century as identified by English (2002):
mathematical modeling
visualizing
algebraic/relational thinking
problem-solving

27.  These kinds of tasks will also improve your reading skills.
Franceschini et al 2012