Talk at the Technion, Haifa, 13 April,2008

1. A language of patterns for mathematical learning Yishay Mor, London Knowledge Lab [email_address] 10 April, 2008, Department of Education in Technology and Science, Technion, Haifa

2. Problem Keep the rain out Context Cold, wet, poor. Method of solution Thatched roof Related Timber frame, Slanted roof, Chimney

3. Design pattern: problem + context + method of solution

4. Construction, communication, collaboration => mathematical learning

11. Design patterns [describe] a problem which occurs over and over again in our environment, and then describes the core of the solution to that problem, in such a way that you can use this solution a million times over, without ever doing it the same way twice (Alexander et al., 1977)‏

12. example: activity nodes Design problem Community facilities scattered individually through the city do nothing for the life of the city. Design solution Create nodes of activity throughout the community, spread about 300 yards apart. http://www.uni-weimar.de/architektur/InfAR/lehre/Entwurf/Patterns/030/ca_030.html

15. The theory (ies)‏

16. The patterns

19. Mathematical game pieces: examples

22. Soft scaffolding: examples

25. Narrative spaces: examples

26. Narrative spaces: examples

30. Streams

32. Streams in ToonTalk Add-a-number Add-up Nest a 1 , a 2 , a 3 …  1 1 a i ,  1 2 a i ,  1 3 a i …

34. A Challenge exchange of Build this puzzles, using a League chart to orchestrate social interaction.

35. GmX: Example

36. The patterns

37. http://patternlanguagenetwork.org

38. stickmen: a visual language for design patterns? 1 2 3 4 5 6