长期以来,人们对数学教学的认识就是概念、定理、公式和解题,认为数学学科是一种具有严谨系统的演绎科学,数学活动只是高度的抽象思维活动。但是,许多事实表明,数学不只是逻辑推理,还有对直观的感性材料的认识。G·波利亚曾指出:“数学有两个侧面,一方面它是欧几里得式的严谨科学,从这个方面看,数学像是一门系统的演绎科学,但另一 For a long time, people’s understanding of mathematics teaching is the concept, theorem, formula and problem solving. They think that mathematics is a rigorous system of deductive science, and mathematics activities are only highly abstract thinking activities. However, many facts have shown that mathematics is not just logical reasoning, but also knowledge of intuitive sensible materials. G. Polya once pointed out: "There are two aspects of mathematics. On the one hand, it is a rigorous science of Euclid. From this perspective, mathematics is like a system of deductive science, but another