The role of intuition in geometry education: learning from the teaching practice in the early 20th century

摘要: Intuition is often regarded as essential in the learning of geometry, but questions remain about how we might effectively develop students’ such skills. This paper provides some results from analyses innovative geometry teaching early part 20th century, a time when significant efforts were being made to improve and geometry. As examples, examine tasks for students that can be found Treutlein’s “Geometrical Intuitive Instruction" (Germany) Godfrey’s textbook (England). The suggest educators at attempted intuitive skills through various practical drawing, measurement, imagining manipulating figures, which could useful current teaching. We also identify different approaches taken development mathematics Germany England.