Saturday, April 13, 2013

The Essence of Problem-Solving in Algebra

Introduction:

In the minds of many pot, the word algebra is synonymous with headache or something evenly unpleasant. The reason for this is quite clear; it seems that the educational establishment has genuinely succeeded in convincing generations of intelligent people that the study of algebra is not only totally worthless, but ultimately meaningless. This is indeed a shame because algebra represents a major advance in the adroit history of our species. In what follows I will attempt to state this, and furthermore, I intend to show that the basic methodological article of faith of algebra, which I call, for want of a better word, The Solution Principle, goes remote beyond the discipline we call algebra or algebraic possibility; it actually determines to a large terminus our abilities as problem-solvers.

The Beginnings of Algebra:

The sidereal day man began to write is the day man began to do algebra! enchantment this may be a slight exaggeration thither are reasons to believe in it. Where are the historical root of algebra? In Babylonia, like the roots of writing in general. The people of today, having had the benefit of written language that has evolved for millenia, are prone to spend a penny it for granted. One has to stop and think deeply to realize to what extent the written word is an addition to our intellectual sources.

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The estimator port wine we call pencil and paper has given us among different things, the whole of modern mathematics, the general theory of relativity, the atomic bomb, the computer and the internet! Don´t deceive yourself dear reader, the power of signs on paper with some rules of manipulating those signs is the greatest extension there is, to the human mind. Let´s look more most at this first and oldest supercomputer, algebra.

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