Abstract
Computer programs are now available that perform most of the algebraic and numerical-manipulation procedures on which school mathematics now concentrates. The defining characteristic of these symbolic mathematical systems is that, unlike many of the popular computer languages, they can manipulate variables as well as numbers. They can perform rationalnumber arithmetic, solve equations, produce equivalent expressions of a variety of types, apply trigonometric identities, evaluate limits and sums, compute the algebraic form of derivatives and integrals, perform matrix manipulations, and produce accurate numerical answers-with hundreds of digits if appropriate. In short, they can perform with more dependable accuracy and greater speed most of the algebraic and numerical procedures on which students now spend most of their mathematical careers.
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