Investigations in Mathematics
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http://www.math.rutgers.edu/~erowland/investigations.html  


Eric S. Rowland  
Openended 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 (912), College 
Languages:  English 
Resource Types:  Problems/Puzzles 
Math Topics:  Polynomials, Basic Operations, ProblemSolving, HigherDimensional Geometry, Triangles and Other Polygons, Symmetry/Tessellations, Logic/Foundations, Number Theory 
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