Looking Again at the Mathematical Situation
For nearly six decades there have been almost continuous efforts to reform mathematical instruction. A comprehensive account of these efforts will serve to bring out a number of significant facts.1 For example, from the very beginning this movement has had an international character. Moreover, in the world's leading countries it was sponsored by outstanding mathematicians and scientists. That is, the original impetus toward mathematical reform came from distinguished scholars connected with higher institutons of learning. And the issues which engaged their attention are as vital today as they were at the turn of the century. Among them may be mentioned the development of a continuous program extending from the kindergarten to the university; a persistent emphasis on such central themes as functional thinking or the study of relationships; the elimination of “inert ideas” and useless details; a genuine acquaintance with certain key concepts and methods of modern mathematics; a closer correlation of mathematics and science; the abandonment of purely mechanical drill in favor of real understanding and purposeful application; and, above all, a keen appreciation of the role of mathematics in the modern world.