CAMMP day - mathematical modeling day
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What: |
Students experience an authentic application of mathematics, gain insight into current research fields, and model mathematically. The workshops offer an application-oriented insight into the problem-solving strategies of numerous STEM professions and courses of study. See below for a detailed description of the topics offered. |
| Who: | Middle or high school classes/courses (depending on topic selection). See the table below for information on necessary prior school mathematics knowledge. |
| When: | 4-5 hours, block event (on request also spread over several school lessons). |
| Where: | Online or at KIT. Supervision by KIT scientific staff |
| Cost: | free of charge |
| Registration: | Dates and concrete planning can be arranged individually by mail. |
Our material can also be used in schools as an online workshop with students or integrated into lessons. Our learning materials are available online on a platform for direct use in class. Contact us for further access information!
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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Image classification and machine learning | 10 | vectors | vectors, scalar product, distance point straight/plane |
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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 |
| Climate records | 10 | Probabilities and random experiments, path rules | Handling data, law of large numbers, Laplace probability, path rules, stochastic independence, expected value | |
| Cooling process of metal | 11 | differentiation, difference quotient, integration, sum of rectangles | Inverse problems, differentiation, difference quotient, integration, sum of rectangles, measurement error | |
| Netflix | 10 | |||
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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 |
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Word predictions | 10 | absolute and relative frequencies, probabilities and random experiments | transition graphs, transition tables, n-th order Markov chains, weighted mean, logarithm function, optimization |
Sources of the images:
| Animated movies | https://pixabay.com/photos/dancing-dave-minion-minion-tim-510835/ |
| Image classification and machine learning | https://pixabay.com/de/illustrations/tech-kreis-technologie-abstrakt-3041437/ |
| 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/ |
| 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/ |
| Word predictions | https://unsplash.com/photos/ik_AuIWeBBM |
Unterrichtsmaterial zur mathematischen Modellierung