- Games on Graphs (MegaMath) - Nancy Casey; Los Alamos National Laboratory
Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems. Graphs, stories and games provide scenarios for games that student can play on graphs. Also Three for the Money: The Degree/Diameter Problem, an unsolved problem for students to work on, and other games that can help students increase the range of possibility for games that they can invent on graphs. Big Ideas and Key Concepts include pages on Graphs; Properties of mathematical objects; Modeling; and Abstraction.
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- Mathematical Modeling - Thomas E. Kelley, Dept. of Mathematical Sciences, Metropolitan State College of Denver
Description of course projects that emphasize learning mathematics through work on open-ended problems that have no "one correct solution," requiring the construction of a proposed mathematical model and designed to motivate students' learning of mathematics by having them work in groups of three or four on significant and relevant applied problems that require an extended effort on the part of the group. Problems are chosen so that the students gain knowledge of and experience using various areas of mathematics. From the Rocky Mountain Teacher Education Collaborative (RMTEC).
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- Shodor Education Foundation, Inc.
A non-profit research and education organization dedicated to the advancement of science and math education, specifically through the use of modeling and simulation technologies. Interactive middle school lessons aligned with curricula are available through Shodor's Project Interactivate. For interactive models and curricular materials, the Foundation offers its
MASTER: Modeling and Simulation Tools for Education Reform resources, including a galaxy simulation, simulated annealing, biomedical and environmental models, and a simulation of Edgar Allen Poe's "Pit and the Pendulum." Also available are summer and Saturday programs and workshops for kids; professional development opportunities through the Shodor Computational Science Institute; and an online Braille instruction program.
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