教育家杜威认为“教育即经验的改造”。有效的数学学习,是在教学情境下学生运用已有的经验成功处理新问题、新信息,达到领悟、反思、改造和丰富经验的过程。学生的经验犹如一颗在春天里播下的种子,蕴藏着不断生长的力量。笔者认为,从途径上学生的经验可以分为生活性经验和数学性经验。学生的数学学习也是基于学生已有经验不断改造和完善的过程。数学性经验可以理解为学生在参与数学活动(课内或课外)的过程中对事物形成的、在遇到相似情形时可以唤起的某种体验、观念或认知性知识。数学性经验的获得需要自身的自觉领悟和不断的积极转化:首先激发和唤起学生的原有经验(已有生活经验或数学经验),再通过参与具体的活动获得具体经验(直接性 Dewey educators think “education is the transformation of experience ”. Effective mathematics learning is a process in which students apply the existing experience to successfully deal with new problems and new information in the teaching situation so as to realize comprehension, reflection, transformation and rich experience. The student’s experience is like a seed sown in spring, with a growing force. The author believes that the way students experience can be divided into life experience and mathematical experience. Students ’mathematics learning is also a process based on the students’ existing experience of continuous improvement and improvement. Mathematical experience can be understood as a kind of experiences, concepts or cognitive knowledge that students can arouse when encountering similar situations when they participate in mathematical activities (in-class or out-of-class). The acquisition of mathematical experience requires its own conscious comprehension and constant positive transformation: firstly, to arouse and arouse the students’ original experience (existing life experience or mathematical experience) and then obtain specific experience through participation in specific activities (directness