So-called Shortcuts Often Cause Confusion
In arithmetic through the eighth grade and in first year algebra, is not the thorough understanding of fundamental principles of first importance? That this need of first importance has not been generally taken care of, is evidenced in many ways: (1) Such reports as that given by Admiral Nimitz, pointing out the weakness of our boys in junior and senior high school mathematics. (2) J. Kadushin's statements about the inability of men in the factories to handle simplest work in fractions, and their fear of taking any course in mathematics. (3) Constant complaint from teachers of physics, chemistry and algebra theory as to ignorance of the formula: what it is, what can and cannot be done to it. (4) The experience of much tutoring going on in universities, showing that great numbers have trouble with college mathematics because they did never really understand their work in arithmetic and algebra.