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Math Education at a Crossroads

Math Education at a Crossroads. v/ Karsten Schmidt and Steen Markvorsen. Crossroads. Synopsis. Demands Coverage Logistics Materials Coda. Demands. Demand for exams?. Example: 2-hours written exam, December 2007 -:-. Coverage. Coverage. Synthesis and coherence.

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Math Education at a Crossroads

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

  2. Crossroads Synopsis • Demands • Coverage • Logistics • Materials • Coda KTH LTH DTU April 2008

  3. Demands KTH LTH DTU April 2008

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

  5. Coverage KTH LTH DTU April 2008

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

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

  8. Logistics KTH LTH DTU April 2008

  9. 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) KTH LTH DTU April 2008

  10. Materials KTH LTH DTU April 2008

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

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

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

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

  15. Coda KTH LTH DTU April 2008

  16. 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. KTH LTH DTU April 2008

  17. 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! KTH LTH DTU April 2008

  18. ExtraThematic Forestfire KTH LTH DTU April 2008

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

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

  21. Fire! Attack: KTH LTH DTU April 2008

  22. Fire! Strategy: KTH LTH DTU April 2008

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

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

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

  26. Fire! No wind KTH LTH DTU April 2008

  27. Fire! With wind KTH LTH DTU April 2008

  28. Fire! Without wind KTH LTH DTU April 2008

  29. Fire! With wind KTH LTH DTU April 2008

  30. Fire! No wind KTH LTH DTU April 2008

  31. Fire! With wind KTH LTH DTU April 2008

  32. Fire! With wind KTH LTH DTU April 2008

  33. KTH LTH DTU April 2008

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