computational modeling with vpython
DESCRIPTION
An introduction to computational modeling: what it is and why it should be learned in high school physics.TRANSCRIPT
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Computational Modeling
with VPython
Geoff SchmitNaperville North
High School
Friday, 1 March 2013
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What isComputational
Modeling?
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WolframAlpha
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Molecular Models
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Examples from Fermilab
• Monte Carlo simulations to predict frequency of decay products from other particles when looking for Higgs
• dark matter distribution throughout the Milky Way simulations
• design and tuning of 40-m long interferometer
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High-AltitudeBalloon Path
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Finite Element Analysis
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Politics
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Black Box Trading(Algo Trading)
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Rapunzel’s Hair
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More Than Programming
• computational thinking is• knowing when and how to use a
computer to solve a problem• mapping from the problem space to the
solutions space by creating an algorithm
• programming is just one part
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More Than Running Simulations
• not sufficient to develop computational thinking
• students need to modify, extend, and create their own computational models
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Why TeachComputational
Modeling?
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Increase Understanding
• multiple representations of concepts• verbal, mathematical, graphical,
diagrammatical, and computational
• reinforce key idea of models predicting the future and explaining the past
• encourages exploration (what if?)
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Authenticity
• enable students to explore more complex problems whose solutions are beyond the scope of their current course
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Next GenerationScience Standards
• Science and Engineering Practices• Analyzing and Interpreting Data• Using Mathematics and Computational
Thinking• Developing and Using Models
• refer to computational thinking and students using and creating computational models and simulations
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1-dMotionSimulation.py
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Resources
• Georgia Tech PER Group
• https://per.gatech.edu/wiki/doku.php?id=projects:hscomp:physutil
• my GitHub
• https://github.com/gcschmit/vpython-physics
• John Burk’s blog
• https://quantumprogress.wordpress.com/computational-modeling/
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Papers
• Integrating Numerical Computation into the Modeling Instruction Curriculum• Caballero, Burk, et al.• http://arxiv.org/abs/1207.0844
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