Physical Sciences and Mathematics Commons^™

A Reorganization In The Continuity Of Subject Matter In Mathematics, Beryl E. Warner

Electronic Theses and Dissertations

This thesis considers a reorganization in the order of arrangement of certain topics in elementary and undergraduate mathematics; i.e. , arithmetic, algebra, plane geometry, solid geometry, trigonometry, analytic geometry, and calculus. Two terms important in the discussion are reorganization, the process of changing the relative position of topics or proofs in mathematics to an earlier or later place in the development of subject matter, and continuity, the logical order of topics arranged according to the need of one to explain the other.

The purpose of the thesis is two-fold; First, to show what arrangement of topics may be desirable; and, …