Investigations in Mathematics
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|Eric S. Rowland|
|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|
|Math Topics:||Polynomials, Basic Operations, Problem-Solving, Higher-Dimensional Geometry, Triangles and Other Polygons, Symmetry/Tessellations, Logic/Foundations, Number Theory|
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