Mathematical Discovery: On Understanding, Learning, and Teaching Problem Solving, Volume 2 |
Contents
PART | 1 |
The Cartesian Pattern | 22 |
Problems within Problems | 36 |
Copyright | |
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Common terms and phrases
altitude analogy analytic geometry angles appropriate attain auxiliary problem backward chance chapter circle collinear compute conception conclusion condition connecting consider course derive Descartes desired diagram dihedral angle edges elements equations examine Examples and Comments express faces fact foregoing formerly proved theorem formerly solved problem formulation frustum geometric figure given guess hypothesis idea kind of unknown knowledge less look mathematical proof mathematics teacher mental method mind observed obviously octahedron original problem parallelepiped pattern plane plane geometry polygon polyhedra polyhedron present principle prob problem solver problem to find problem to prove proof proposed problem proposition questions radius reader regrouping regular polygon relation relevant restate rhombi rules sect sides similar triangles situation solid geometry solution sphere step suggest T. L. Heath teaching tetrahedron things tion triangle vertices volume whole