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

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

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KTH LTH DTU April 2008

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Danmarks Tekniske Universitet

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KTH LTH DTU April 2008 Danmarks Tekniske Universitet

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

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KTH LTH DTU April 2008 Demand for exams?

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

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

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KTH LTH DTU April 2008 Demands

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

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KTH LTH DTU April 2008 Coverage

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

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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

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KTH LTH DTU April 2008 Logistics

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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)

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KTH LTH DTU April 2008 Materials

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

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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 -:-

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

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

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KTH LTH DTU April 2008 Coda

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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.

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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!

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KTH LTH DTU April 2008 Extra Thematic Forestfire

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KTH LTH DTU April 2008 A thematic exercise: Fire!

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

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KTH LTH DTU April 2008 Fire! Attack:

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KTH LTH DTU April 2008 Fire! Strategy:

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

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

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

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KTH LTH DTU April 2008 Fire! No wind

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KTH LTH DTU April 2008 Fire! With wind

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KTH LTH DTU April 2008 Fire! Without wind

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KTH LTH DTU April 2008 Fire! With wind

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KTH LTH DTU April 2008 Fire! No wind

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KTH LTH DTU April 2008 Fire! With wind

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KTH LTH DTU April 2008 Fire! With wind

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KTH LTH DTU April 2008

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