1. Presentatie titel Times tables Okahandja, October 2013
Rotterdam, 00 januari 2007

3. The concept of multiplication: counting-based repeated addition

4. Times tables
repeated addition

5. Times tables – repeated addition

6. The concept of multiplication: structuring-based multiplication

7. Structuring-based multiplication

8. Times tables – the strategies of structured multiplication
Strategy: ‘one-times-more’
Strategy: ‘changing’

9. Times tables the strategies of structured multiplication
Strategy: ‘one-times-less’
Strategy: ‘doubling’

10. Times tables the strategies of structured multiplication
Strategy: ‘halving’

11. The concept of multiplication: formal multiplication
How to construct a times table by using the strategies?
1 x 7 known
2 x 7 double or changing
3 x 7 one times more: 2 x or changing
4 x 7 doubling 2 x 7: , or one times less
5 x 7 halving 10 x 7 or changing
6 x 7 one times more: 5 x 7 + 7
7 x 7 via 5 x x 7 (distribution)
8 x 7 doubling 4 x 7: or via 5 x x 7
9 x 7 one times less: 10 x 7 – 7
10 x 7 known or ‘the zero rule’

12. Formal multiplication; anchor points and strategies

13. Formal multiplication; anchor points and strategies

14. Teaching materials times tables
Step 1: repeated addition
Times tables containers,
Buttons, bottle tops, beans, …. all kind of counting
materials
Step 2: structured multiplication
Tiles
Times table square
Step 3: formal multiplication
Relation schemes

15. Memorization Say the times table and lay the tiles Times table snakes
Times table memory games
Times table bingo
Relation schemes
Times tables ‘award’
Exercises

16. 1 Times tables containers 1 - 10

17. 1 Times tables containers 1 - 10
Say the times table and lay the objects
Make drawings of 2 x 3, 5 x 4, 3 x 6, …….
Make a ‘times tables exhibition’ in the classroom
Make your ‘times tables posters’

18. 2 Buttons, bottletops, beans, strings, sticks, stones, all kind of counting materials

19. 2 Buttons, bottletops, beans, strings, sticks, stones, all kind of counting materials
Make groups and say the times table
Make groups and write the times table
Make drawings of 2 x 3, 5 x 4, 3 x 6, …….

20. 3 Tiles

21. 3 Tiles
Lay the 2-times table in two columns, lay the 3-times table in two columns, …..
Lay 5 times 4. Add one row of 4 tiles. How do you know 6 x 4 =?
Lay 5 times 6. Take away one row of 6 tiles. Which sum did you make? …..
Take 12 tiles and make different ‘floors’. Write your calculations.
Take 13 tiles and make different ‘floors’. Write your calculations.
Take 20 tiles and make different ‘floors’. Write your calculations……
Etc.,

22. 4 Times tables memory game
2 x 5
6 x 8
4 x 3
3 x 4

23. 4 Times tables memory game10
2 x 5 12 48
6 x 8
4 x 3

24. 5 Times table snakes
12/ 8 x 3
2 x 3
15/ 9 x 3
30/ 5 x 3
6 / 4 x 3
18/ 7 x 3
3/ 3 x 3
24/10 x 3 9
21/ 1 x 3
27/ 6 x 3

25. 6 Relation sheets ….x 3 = …. ….x 3 = …. 1-time more 1-time less
doubling
halving

26. 7 Times table square x 1 2 3 4 5

27. 7 Times table square x 1 2 3 4 5

28. 7 Times table square
Lay the 4 times table with bottle tops, say and write the 4 times table.
Lay 10 bottle tops in different ways and write the sums.
Lay 24 bottle tops in different ways and write the sums.
Etc.,

29. Make and collect the materials
Practise the materials yourself and discover the possibilities to teach mathematics in your class with these ‘easy to make’ teaching materials.

30. How do you know the times tables?
Discussion
Excersises with teaching materials, multiplication problems, games (24-game)
Speedtest