It's not how new you make it, but how you make it new
Before the “;mathematics revolution” of some fifteen years ago, the emphasis of instruction in school mathematics was almost entirely on the “how” of manipulation. Little or no attention was paid to the “what” and “why” of understanding. Since then the efforts of committees and of individual teachers have effected changes both in curriculum content and in teaching techniques. These cha nges were designed to make basic understanding, as well as significant manipula tion, a fundamental responsibility of all levels of instruction. No longer is the teaching of mathematics designed to result merely in a catalog of rules for mechanical application. Ra ther, it is designed to develop, a long with a facility in use, a comprehe nsion of and an appreciation for bas ic concepts. Further, it is designed to develop an understanding of the purpose and function of opera tional procedures that they may serve as resource reser voirs for intelligent attack on problem situations whenever and however they may occur. Thus the underlying philosophy of this new emphasis in instruction is to present mathematics as an important, logically structured segment of our cultural heritage rather than as a tool kit of rules, formulas, and assorted mnemonics.