How to Solve it: A New Aspect of Mathematical Method |
Contents
IN THE CLASSROOM Purpose 1 Helping the student I | 1 |
Generality 4 Common sense 5 Teacher and student Imitation and practice | 3 |
Main divisions main questions 6 Four phases 5678 | 5 |
Copyright | |
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altitude analogy analysis angles Archimedes argument auxiliary element auxiliary problem base better bright idea center of gravity conclusion connection consider construction derive desirable discuss Draw a figure easy equation Euclid's Elements examine example fact familiar Find the diagonal foregoing formerly solved problem formula frustum given hypothesis important indirect proof induction invention know a related look MATHEMATICAL INDUCTION mathematical problems mathematician meaning median planes method numbers object obtain octahedron original problem Pappus parabola parallelogram plane geometry possible prime prob problem to find problem to prove procedure proposed problem questions and suggestions radius recollect rectangular parallelepiped reductio ad absurdum related problem result right triangle satisfy the condition side similar unknown solid geometry solution solve the problem sort sphere square step straight line student symmetry teacher technical terms tetrahedron theorem tion try to think understand various vertex vertices wish words