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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