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Hoensch, Ulrich A. – College Mathematics Journal, 2009
We explore how curvature and torsion determine the shape of a curve via the Frenet-Serret formulas. The connection is made explicit using the existence of solutions to ordinary differential equations. We use a paperclip as a concrete, visual example and generate its graph in 3-space using a CAS. We also show how certain physical deformations to…
Descriptors: Equations (Mathematics), Calculus, Geometric Concepts, Mathematics Instruction
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Spaulding, Raymond E. – Mathematics Teacher, 1974
Descriptors: Geometric Concepts, Mathematical Enrichment, Networks, Problem Solving
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Galtier, Jean – Educational Studies in Mathematics, 1973
Outlines a guided discovery activity for ascertaining the conditions which allow for the correct tracing of networks. (JP)
Descriptors: Discovery Learning, Experiential Learning, Geometric Concepts, Instruction
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Taback, Stanley F. – School Science and Mathematics, 1992
Describes three components of a seminar in mathematical problem solving for preservice mathematics teachers: (1) a cognitive component that accents particular phases of problem solving; (2) an affective component that allows for observation of skillful problem solvers; and (3) an investigative component that provides for independent study and…
Descriptors: Cognitive Development, Discovery Learning, Heuristics, Higher Education
Stamper, John, Ed.; Pardos, Zachary, Ed.; Mavrikis, Manolis, Ed.; McLaren, Bruce M., Ed. – International Educational Data Mining Society, 2014
The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…
Descriptors: Information Retrieval, Data Processing, Data Analysis, Data Collection