360 likes | 490 Views
Math Education at a Crossroads. v/ Karsten Schmidt og Steen Markvorsen. Crossroads. Synopsis. Demands Coverage Logistics Examples Integrator 6 Applications Examples Coda. Demand?. Demand!. KTH/ICT vision: Mathematics =. Demand?. Non-example: Non-example:. Demand?.
E N D
Math Education at a Crossroads v/ Karsten Schmidt og Steen Markvorsen KTH Learning Lab January 16th 2008
KTH Learning Lab January 16th 2008
KTH Learning Lab January 16th 2008
Crossroads Synopsis • Demands • Coverage • Logistics • Examples • Integrator 6 • Applications • Examples • Coda KTH Learning Lab January 16th 2008
Demand? KTH Learning Lab January 16th 2008
Demand! • KTH/ICT vision: Mathematics = KTH Learning Lab January 16th 2008
Demand? • Non-example: • Non-example: KTH Learning Lab January 16th 2008
Demand? Example: 2-hours written exam, December 2007 -:- KTH Learning Lab January 16th 2008
Coverage KTH Learning Lab January 16th 2008
Coverage Synthesis and coherence • Via few concepts- linearity, approximation, integration • Via computer experiments - visualize, inspect, discover, discuss, understand, explain KTH Learning Lab January 16th 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 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) KTH Learning Lab January 16th 2008
Math 1 Materials • Weekly menus, example: -:- • Thematic exercises, example: -:- • Homework exercises, example: -:- • Project exercises, examples: -:--:- KTH Learning Lab January 16th 2008
Examples KTH Learning Lab January 16th 2008
CAAS in Math1 at DTU Integrator6 – a multivariable ’Inspector’ Examples -:- KTH Learning Lab January 16th 2008
Construction of hands-on ’examples’ KTH Learning Lab January 16th 2008
CAAS From Maple to 3D printer KTH Learning Lab January 16th 2008
CAAS From Maple to 3D printer • Production in Maple -:- • Export to ZPrint and ZEdit -:- • Examples - show KTH Learning Lab January 16th 2008
A thematic exercise: Fire! KTH Learning Lab January 16th 2008
Forest fires in Canada ( >200 ha, 1959-1999) KTH Learning Lab January 16th 2008
Fire! Attack: KTH Learning Lab January 16th 2008
Fire! Strategy: KTH Learning Lab January 16th 2008
Fire! Head-, Flank-, and Back-Fire KTH Learning Lab January 16th 2008
Grassland Fire Tikokino, Central Hawkes Bay, New Zealand, 1991 KTH Learning Lab January 16th 2008
Fire! Elliptic exercises • Equation • Parametrization • Circumference • Foliation • Area KTH Learning Lab January 16th 2008
Fire! No wind KTH Learning Lab January 16th 2008
Fire! With wind KTH Learning Lab January 16th 2008
Fire! Without wind KTH Learning Lab January 16th 2008
Fire! With wind KTH Learning Lab January 16th 2008
Fire! No wind KTH Learning Lab January 16th 2008
Fire! With wind KTH Learning Lab January 16th 2008
Fire! With wind KTH Learning Lab January 16th 2008
Coda KTH Learning Lab January 16th 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 Learning Lab January 16th 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 Learning Lab January 16th 2008
KTH Learning Lab January 16th 2008