Department of Mathematics KTH Learning Lab
January 16th 2008 Math Education at a Crossroads
v/ Karsten Schmidt og Steen Markvorsen
Department of Mathematics KTH Learning Lab
January 16th 2008 Math Education at a Crossroads
v/ Karsten Schmidt og Steen Markvorsen
Department of Mathematics KTH Learning Lab
January 16th 2008 CAAS
TODO
Billeder from real life
The ICT comments
Department of Mathematics KTH Learning Lab
January 16th 2008
Department of Mathematics KTH Learning Lab
January 16th 2008
Department of Mathematics KTH Learning Lab
January 16th 2008 Danmarks Tekniske Universitet
Department of Mathematics KTH Learning Lab
January 16th 2008 Danmarks Tekniske Universitet Uddannelsesdekan Gunnar Mohr 25/9 ’07
Department of Mathematics KTH Learning Lab
January 16th 2008 Crossroads
Synopsis
Demands
Coverage
Logistics
Examples
Integrator 6
Applications
Examples
Coda
Department of Mathematics KTH Learning Lab
January 16th 2008 Demand?
Department of Mathematics KTH Learning Lab
January 16th 2008 Demand!
KTH/ICT vision: Mathematics =
Department of Mathematics KTH Learning Lab
January 16th 2008 Demand? Non-example:
Non-example:
Department of Mathematics KTH Learning Lab
January 16th 2008 Demand? Example: 2-hours written exam, December 2007 -:-
Department of Mathematics KTH Learning Lab
January 16th 2008 Coverage
Department of Mathematics KTH Learning Lab
January 16th 2008 Coverage Via few concepts - linearity, approximation, integration
Via computer experiments - visualize, inspect, discover, discuss, understand, explain Synthesis and coherence
Department of Mathematics KTH Learning Lab
January 16th 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
Department of Mathematics KTH Learning Lab
January 16th 2008 Math 1 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)
Department of Mathematics KTH Learning Lab
January 16th 2008 Math 1 Materials
Weekly menus, example: -:-
Thematic exercises, example: -:-
Homework exercises, example: -:-
Project exercises, examples: -:- -:-
Department of Mathematics KTH Learning Lab
January 16th 2008 Examples
Department of Mathematics KTH Learning Lab
January 16th 2008 CAAS in Math1 at DTU Integrator6 – a multivariable ’Inspector’ Examples -:-
Department of Mathematics KTH Learning Lab
January 16th 2008 Construction of hands-on ’examples’
Department of Mathematics KTH Learning Lab
January 16th 2008 CAAS From Maple to 3D printer
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