EdX-MOOC Mathematical Modelling Basics DelftX MOOC · 2020-05-20 · EdX-MOOC Mathematical...
Transcript of EdX-MOOC Mathematical Modelling Basics DelftX MOOC · 2020-05-20 · EdX-MOOC Mathematical...
EdX-MOOC Mathematical Modelling Basics
Marleen Keijzer, 4TU.AMI, June 29, 2018
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DelftX MOOC
www.edx.org
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DelftX MOOC
www.edx.org
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DelftX MOOC
www.edx.org
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Course team
Marleen Keijzer, Dennis den Ouden, Iris Smit, Kees Vuik
Esmee Vermolen Piotr Benedysiuk Myrte van BelkomHans de Munnik Jenneke van der Poel
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Support & Input
Nelson Ribeiro Jorge, Ingrid Vos, NewMedia Center
Ingeborg Goddijn, Henk Schuttelaars, Sasa Kenjeres, ITAV
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Why a MOOC?
I Promote
I Produce material for on-campus courses
I Lure students into paid online courses
I Educate the world
I Promote mathematics
I Let staff learn to design online courses
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Mathematical Modelling Basics????
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Enrollment
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Geographic distribution learners
USA 1500 (15%) Netherlands 400 (4%) Nigeria 140India 1200 (12%) Brazil 300 Ghana 40
UK 400 (4%) China 200 Nepal 40
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pre-survey, n=687
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n=323
n=403
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Numbers (first run Spring 2017)
I 7700 enrolled
I 4300 started the course
I 1900 tried problems
I 380 started at least half of the 23 videos
I 30 submitted first report
I 20 submitted final report
I 20 completed the course
I 24 filled out the post-survey
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Project in team of 2 or solo
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Active learning
Preferably, content is discovered by the students in exercises.
I Videos:short (3-6 minutes)and few (23)
I Texts: same
I Many formative exercises,with hints and feedback
I Consolidation in practiceproblems
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Exercises: Multiple Choice
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Exercises: Numerical answers
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Exercises: Drag & Drop
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Exercises: questions with peer feedback
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Compensating for no face-to-face teaching
I Extremely clear instructions
I Much personal text
I ‘Glue’ textI Discussions:
I Questions for the course team.I Learners helping each otherI ‘Thinking Further’
I Project work in pairs
I Peer review of the reports
I Exhibition of the reports
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Content
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dP
dt= 0.7P
balance equationderivation ode
Suncream applied in too thin a layer
5 10 15 20
20
40
60
80
100
O
27
50
75
105
Beer-Lambert’s law
Measurements
for lotion with SPF=100
layer thickness in µm
Effective SPF
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dP
dt= 0.7P − 20
direction fieldequilibrium points
Mixing problem
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dP
dt= 0.7
(1 − P
750
)P − 20
phase lineEuler’s methodPython program
Flu epidemic
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dP
dt= 0.7P − 0.007P2 − 0.04PG
dG
dt= −0.25G + 0.008PG
phase planestability equilibrium pointsarrays in Python
Design & simulate100mHz laptop clock
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Scientific writing
I Purpose & audience
I Structure
I Components
I Wording
I References
I Figures & Tables
I LATEX
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Exhibition of Reports
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Learners’ expectations were
n=18
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Learners’ available hours and hours spent
n=709n=18
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Learners liked Learners found valuable
n=17-18
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Learners gave the course the overall grade
n=18
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Perceived value and impact
n=18
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Second run, Spring 2018
More:
I Modules
I Time for project
I Feedback on project
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Future
Learners would liketo learn next
n=17-18
I More runs
I Use in on campus practicalModelling A
I Build more MOOCsMathematical ModellingBasics
I OptimisationI Stochastic modelsI More ode & numerical
methodsI Pde
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EdX-MOOC Mathematical Modelling Basics
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