1. KTH LTH DTU April 2008 Math Education at a Crossroads v/ Karsten Schmidt and Steen Markvorsen

2. KTH LTH DTU April 2008 CAAS TODO Billeder from real life The ICT comments

3. KTH LTH DTU April 2008

5. Danmarks Tekniske Universitet

6. KTH LTH DTU April 2008 Danmarks Tekniske Universitet

7. KTH LTH DTU April 2008 Crossroads Synopsis 1.Demands 2.Coverage 3.Logistics 4.Materials 5.Coda

8. KTH LTH DTU April 2008 Demand for exams?

9. KTH LTH DTU April 2008 Demand! KTH/ICT vision: Mathematics =

10. KTH LTH DTU April 2008 Demand? 1.Non-example: 2.Non-example:

11. KTH LTH DTU April 2008 Demands

12. KTH LTH DTU April 2008 Demand for exams? Example: 2-hours written exam, December 2007 -:--:-

13. KTH LTH DTU April 2008 Coverage

14. KTH LTH DTU April 2008 Coverage Via few concepts - linearity, approximation, integration Via computer experiments - visualize, inspect, discover, discuss, understand, explain Synthesis and coherence

15. KTH LTH DTU April 2008 Coverage Via applications - project exercises and thematic exercises Via milestones - transparent architecture - less curriculum volume - rock solid principles - less rote work Synthesis and coherence

16. KTH LTH DTU April 2008 Logistics

17. KTH LTH DTU April 2008 Logistics 550 students 3 lecturers 20 external senior TAs, highschool teachers 20 TAs (students) 10 DTU colleagues from other departments 10 external examiners from other universities 20 classes 150 computer terminals (3 afternoons + 3 mornings pr. week)

18. KTH LTH DTU April 2008 Materials

19. KTH LTH DTU April 2008 Mathematics 1 Weekly menus Examples -:- Week 12 E07 -:- Week 11BC F08 -:- Resolver -:- Maple for week 11BC F08 -:-

20. KTH LTH DTU April 2008 Mathematics 1 Homework exercises Examples -:- From menu 11BC F08 -:- From notes p. 30 and 44 -:- Resolver -:- Spherical solar cell roofs -:-

21. KTH LTH DTU April 2008 Mathematics 1 Thematic exercises Examples -:- Linear maps -:- Forest fires (appendix) -:-

22. KTH LTH DTU April 2008 Mathematics 1 Project exercises Examples -:- Bridge -:- Red Blood Cells -:- Cantilever -:- Chemical Reaction Chain -:-

23. KTH LTH DTU April 2008 Coda

24. KTH LTH DTU April 2008 Coda Challenges Laptops for every student (realised in principle at DTU pr. E07): Free movability of discussions, ideas, methods, and drive. New exercises, formulations, and solution processes: Transparent architecture, process-oriented learning. Theory, experiments, proofs, applications: Modelling + Solving + Interpretation = Mathematics.

25. KTH LTH DTU April 2008 Links Math 1 homepage: http://www2.mat.dtu.dk/education/01005/ LearningLab DTU: http://www.learninglab.dtu.dk/ Project Crossroads: http://www.learninglab.dtu.dk/projekter/frikoebsprojekter/MAT1.aspx Thank you for your attention!

26. KTH LTH DTU April 2008 Extra Thematic Forestfire

27. KTH LTH DTU April 2008 A thematic exercise: Fire!

28. KTH LTH DTU April 2008 Forest fires in Canada ( >200 ha, 1959-1999)

29. KTH LTH DTU April 2008 Fire! Attack:

30. KTH LTH DTU April 2008 Fire! Strategy:

31. KTH LTH DTU April 2008 Fire! Head-, Flank-, and Back-Fire

32. KTH LTH DTU April 2008 Grassland Fire Tikokino, Central Hawkes Bay, New Zealand, 1991

33. KTH LTH DTU April 2008 Fire! Elliptic exercises Equation Parametrization Circumference Foliation Area

34. KTH LTH DTU April 2008 Fire! No wind

35. KTH LTH DTU April 2008 Fire! With wind

36. KTH LTH DTU April 2008 Fire! Without wind

37. KTH LTH DTU April 2008 Fire! With wind

38. KTH LTH DTU April 2008 Fire! No wind

39. KTH LTH DTU April 2008 Fire! With wind

40. KTH LTH DTU April 2008 Fire! With wind

41. KTH LTH DTU April 2008