The bridge between practical and deductive geometry: developing the ‘geometrical eye’

摘要: The dual nature of geometry, as a theoretical domain and an area practical experience, presents mathematics teachers with the opportunity to link theory everyday knowledge their pupils. Very often, however, learners find geometry chasm that is very difficult bridge. With research continuing focus on understanding this problem, view developing better pedagogical techniques, paper reports analysis innovative teaching methods were developed in early part 20th Century, time when significant efforts being made improve learning geometry. suggests notion geometrical eye, ability see properties detach themselves from figure, might be potent tool for building effectively intuition.