CAMMP day - mathematical modeling day
On the basis of practice-oriented questions, students are introduced to the basics of mathematical modeling by scientists in various modules. Mathematical contents, such as angle sentences or matrix calculations, are applied which the students may already know from class. In addition to content competences, process-related competences in particular are promoted in the workshops. This includes problem solving and modeling, but also communication and argumentation as well as the use of tools (e.g. e-learning units, MATLAB, GeoGebra). For this purpose, the pupils work interactively in small groups on the problem and acquire the knowledge and the solutions themselves in the action-oriented modules.
The following workshops are available:
Topic | At least grade | Previous knowledge | Possible contents | |
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Animated movies | 11 | concept of functions, interpolation | interpolation |
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Computer tomography | 11 | Straight lines in R2, calculation of intersections | Inverse problems, parameter representation of straight lines and planes, matrices |
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Data compression |
9 11 |
concept of functions vectors, matrices |
functional equations, trigonometric functions matrices, vectors and their multiplication |
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Evolution | 8 | relative frequency, arithmetic mean, median, proportionality | Handling of data, distance measurement, transition matrices and stochastic processes, clustering methods, metrics |
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Fitness tracker | 9 | concept of functions | functional equations, trigonometric functions |
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10 | systems of linear equations | probability concept, limit value, transition matrices | |
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GPS | 10 | system of equations | systems of equations, tangent equations in three-dimensional space, compensation calculation |
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Climate change | 10 | concept of function, differential calculus, arithmetic mean | linear regression analysis, coefficient of determination, hypothesis tests |
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Artificial Intelligence | 10 | vectors | vectors, scalar product, distance point straight/plane |
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Shazam | 9 | concept of functions | functional equations, trigonometric functions |
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Solar energie |
8 10 |
angle pairs |
geometry, trigonometry, angle relations in triangles integration, optimization |
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Social networks | 7 | First experiences with Boxplots | relative frequency, arithmetic mean, median, span, quartile distance, box plots |
Sources of the images:
Animated movies | https://pixabay.com/photos/dancing-dave-minion-minion-tim-510835/ |
Computer tomography | https://pixabay.com/de/photos/ct-krankenhaus-computertomograph-509938/ |
Data compression | https://pixabay.com/de/photos/s%C3%A4ngerin-karaoke-m%C3%A4dchen-frau-84874/ |
Evolution | https://pixabay.com/de/illustrations/dna-erbgut-helix-proteine-biologie-3539309/ |
Fitness tracker | https://pixabay.com/de/photos/smartwatch-gadget-technologie-smart-828786/ |
https://pixabay.com/de/illustrations/google-suchmaschine-browser-suchen-76517/ | |
GPS | CAMMP |
Climate change | https://pixabay.com/de/illustrations/klimawandel-globale-erw%C3%A4rmung-klima-2063240/ |
Artifical intelligence | https://pixabay.com/de/illustrations/tech-kreis-technologie-abstrakt-3041437/ |
Shazam | https://pixabay.com/de/vectors/equalizer-schlagen-tanz-fiesta-mp3-153212/ |
Solar energie | https://pixabay.com/de/photos/solarstrom-california-solar-strom-1742186/ |
Social networks | https://pixabay.com/de/photos/menschen-google-polaroid-pinterest-3175027/ |