Teaching Geometry for the Purpose of Developing Ability to Do Logical Thinking

Abstract

The development of ability to do logical thinking has long been counted one of the important objectives in the teaching of demonstrative geometry. In the past it was generally believed that the student acquired from the logic of geometry a mode of thought which he would use in solving many problems of life. Little or no direct attention, however, was given to the mode of thought itself, nor was any consideration given to the manner in which this mode of thought would be expected to function in various types of situations that are non-geometric. We have now come to believe that if transfer of this kind is desired, definite provisions must be made to teach for it. The teacher must definitely hold this outcome clearly in view and so arrange the teaching program that thjs outcome may be realized. It is possible that our whole teaching procedure needs to be reorganized.