数学知识的两种形态与数学教学

Two Forms of Mathematical Knowledge and Mathematics Teaching

教学实践表明,数学知识有学术形态和教育形态2种,它们之间的差异表现在:过程的有无不同,表述的顺序不同,语言的详略不同,确定性与非确定性的不同等.在数学教学中,教师必须吃透教材,深知2种形态的差异,并把数学知识的学术形态向教育形态转化,这一转化大致要经过教学设计和课堂教学实施2个阶段.

The fact of teaching showed that mathematical knowledge had two forms: academic form and educational form. The difference between them lied in follow aspects: the course, the order of expression and so on. During the mathematics teaching, the teacher should master the textbook and familiar the difference of the two forms. The most important thing was the teacher must transform the knowledge from academic form to educational form. The course of transforming contained two steps: teaching design and class teaching.