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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 v/ Karsten Schmidt and Steen Markvorsen KTH LTH DTU April 2008
Crossroads Synopsis • Demands • Coverage • Logistics • Materials • Coda KTH LTH DTU April 2008
Demands KTH LTH DTU April 2008
Demand for exams? Example: 2-hours written exam, December 2007 -:- KTH LTH DTU April 2008
Coverage KTH LTH DTU April 2008
Coverage Synthesis and coherence • Via few concepts- linearity, approximation, integration • Via computer experiments - visualize, inspect, discover, discuss, understand, explain KTH LTH DTU April 2008
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
Logistics 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) KTH LTH DTU April 2008
Materials KTH LTH DTU April 2008
Mathematics 1 Weekly menus • Examples-:- Week 12 E07 -:- Week 11BC F08 • Resolver-:- Maple for week 11BC F08 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 KTH LTH DTU April 2008
Mathematics 1 Thematic exercises • Examples -:- Linear maps-:- Forest fires (appendix) KTH LTH DTU April 2008
Mathematics 1 Project exercises • Examples-:- Bridge -:- Red Blood Cells -:- Cantilever-:- Chemical Reaction Chain KTH LTH DTU April 2008
Coda 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. 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! KTH LTH DTU April 2008
ExtraThematic Forestfire KTH LTH DTU April 2008
A thematic exercise: Fire! KTH LTH DTU April 2008
Forest fires in Canada ( >200 ha, 1959-1999) KTH LTH DTU April 2008
Fire! Attack: KTH LTH DTU April 2008
Fire! Strategy: KTH LTH DTU April 2008
Fire! Head-, Flank-, and Back-Fire KTH LTH DTU April 2008
Grassland Fire Tikokino, Central Hawkes Bay, New Zealand, 1991 KTH LTH DTU April 2008
Fire! Elliptic exercises • Equation • Parametrization • Circumference • Foliation • Area KTH LTH DTU April 2008
Fire! No wind KTH LTH DTU April 2008
Fire! With wind KTH LTH DTU April 2008
Fire! Without wind KTH LTH DTU April 2008
Fire! With wind KTH LTH DTU April 2008
Fire! No wind KTH LTH DTU April 2008
Fire! With wind KTH LTH DTU April 2008
Fire! With wind KTH LTH DTU April 2008