With the new emphasis on STEM and authentic mathematics, teaching some skills in mathematical modeling provides a very different experience for high school students. Whether the modeling is an entire class or a part of an existing class or with a school club, there are great opportunities for student research, collaboration, open-ended thinking, and writing skills. The level of mathematics used can be tailored to fit the appropriate age level and mathematical background of the classes. Some of the same models can be used in an algebra class or a calculus class: the students will just use different skills to attack the problem, but it can be valuable for students with a variety of background skills and abilities.
An MAA PREP course led by Dan Teague and Maria Fernandez was held (most recently) at the University of Nebraska- Lincoln in July 2015. Attached here are some of the modelling materials. Ideas for specific projects, suggestions for the writing process, and ideas from participants who have used the materials are provided here.
Curricula at some high schools in modelling:
North Carolina School for Science and Mathematics
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Data Analysis and Data Analysis Examples
Introductory Statistics Measures
How students write up a modelling project:
Specific modelling scenarios to use in classes or with a modelling club/team:
Thanks to a variety of colleagues at workshops for sharing these!
Art Gallery Problem (some geometry involved)
Chronic Medication Accumulations (spreadsheets and algebra/precalculus, series)
Elevator Problem ( a good early problem)
Deer Population Growth (uses spreadsheets)
Great Lakes Problem (a good, not complicated early problem)
Modelling the Suez Canal (based on a true story)
NetLogo software (FREE) to download to simulate models. It is a "is a multi-agent programmable modeling environment."
Links to major modelling competitions:
Moody's Mega Challenge and the archive of past modelling challenges
Internet resources in modelling:
(Coming soon)