Based on the comparison between Piaget's theory and activity in pedagogy, math teaching activities in classroom can be divided into two categories: the explicit construction of explicit mathematical knowledge activities and the solution of the problems;while implicit thought activities of mathematics includes the implement of explicit mathematical activities and applying the mathematical thought.Teachers regarded as the organizer, guide and collaborator of the classroom, are supposed to lead students to participate actively in the construction of mathematical concepts, the discovery of proposition, the proof of proposition and problem-solving activities.In this way, students can adapt to social life and acquisition of the basic knowledge, skills, thought and experience, which can help them in further development.%与皮亚杰和教育学中的"活动"比较发现,课堂教学中的数学活动分为两类:外显的数学知识建构活动和内隐的数学思维活动.外显的数学知识建构活动具体表现为概念建构活动、命题发现活动、命题证明活动、问题解决活动;内隐的数学思维活动则具体表现为引领外显的数学活动得以实施和进行的人们对于数学思想方法的运用.教师作为课堂教学的组织者、引导者和合作者,要注重引领学生充分参与数学的概念建构活动、命题发现活动、命题证明活动和问题解决活动,使学生在参与这些活动的过程中获得适应社会生活和进一步发展所必需的数学基础知识、基本技能、基本思想、基本活动经验,提高数学素养.
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