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Investigations in Mathematics

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Visit this site: http://www.math.rutgers.edu/~erowland/investigations.html

Author:Eric S. Rowland
Description: Open-ended problems for high school and college students to "approach creatively and in their own way": Pascal's simplices ("What is the generalization of Pascal's triangle?"), Pythagorean triples, regular polygons ("What is the area of a regular polygon with n sides?"), regular polyhedra, regular polytopes (what are the volumes of the generalizations of the cube and the regular tetrahedron in n dimensions?), sums of consecutive powers, mathematical induction, modular arithmetic, and solutions to polynomial equations. Rowland, a postdoctoral researcher at Tulane University, includes some guidance and expository solutions to the projects.

Levels: High School (9-12), College
Languages: English
Resource Types: Problems/Puzzles
Math Topics: Polynomials, Basic Operations, Problem-Solving, Higher-Dimensional Geometry, Triangles and Other Polygons, Symmetry/Tessellations, Logic/Foundations, Number Theory

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