高中生对平面概念的理解:数学史的视角

Senior Middle School Students' Understanding of the Concept of Plane: A Historical View

原始概念在数学发展和数学教学中具有重要意义。"平面"是中学几何课程中的原始概念之一。通过对上海和云南两地高中生的调查发现,大多数高中生对平面概念的理解处于直观水平,部分高中生对于平面概念的理解与历史上的数学家存在一定的相似性。

Primitive concepts play an important role in the development of Mathematics and Mathematics instruction. The concept of Plane is one of primitive concepts of Geometry. A questionnaire survey is conducted to students from two senior middle schools in Shanghai and Yunnan Province and the following conclusions are obtained： most students＇under- standing of the concept of Plane is at the level of visualization, and part of students demonstrate the historical parallelism compared to the understanding of some mathematicians in Mathematics history.