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皮亚杰的建构主义理论认为,学习者的学习过程,只有从原有经验、原有认识中逐步抽象,才能概括出数学的形式化定义。对于概念教学而言,学生新知的建立,必须要在已有知识经验的基础上,进行充分的感知和体验,而后才能形成建构。新课程对数学概念教学也提出了要求,要在发展学生思维的同时,注重学生活动经验的积累和提升。基于这样的课改新理念,数学概念建构的过程化便显得尤为重要。教学中,教师要从感知体验入手,让学生主动参与到完整的数学
Piaget’s constructivism theory holds that learner’s learning process can only be generalized to the formal definition of mathematics only if it is gradually abstracted from the original experience and original understanding. For conceptual teaching, the establishment of new knowledge of students, must be based on the existing knowledge and experience, the full perception and experience, and then to form a structure. The new curriculum also put forward requirements for the teaching of mathematical concepts, while developing students’ thinking, focusing on the accumulation and improvement of student activities experience. Based on this new concept of curriculum reform, the process of mathematical concept construction is particularly important. Teaching, teachers should start from the perception of experience, so that students take the initiative to participate in the complete mathematics