Archive for July, 2009

Formula Driven Problem Solving

Thursday, July 23rd, 2009

This post is the first of a series of hints and techniques for students of math, all based on my experience as a math tutor and teacher…
Much of what a student must learn in a math course amounts to mastering the steps in a well defined procedure. For example, multiplying two binomials (e.g. (x-3)(y2+z) ) [...]

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Pythagoras and His Theorem

Thursday, July 2nd, 2009

One of the most important and famous formulas in mathematics is the Pythagorean Theorem: for a right triangle, the square of the long side (hypotenuse) is equal to the sum of the squares of the other two sides. Using a diagram:

$a^{2}+ b^{2}= c^{2}$
As I have pointed out in other posts, proofs of major results [...]

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