学习是学习者通过与周围环境交互作用,自主建构内在心理表征的过程。教师应该全面关注所有与学习内容相关的学生经验,从学生真实的尤其是具有代表性的想法出发展开教学,而不是仅仅关注、选择和利用与自己预设相一致的正确经验,更不能以此来覆盖和替代学生头脑中已有的错误观念和不完善的想法。教师要顺应学生的学习心理特点,消除思维冲突,突破认知瓶颈,促进学生深度学习,发展数学思考。 Learning is the process by which learners construct their own internal psychological representation by interacting with their surroundings. Teachers should pay full attention to all the learning experiences related to students and start teaching from the real, especially representative, ideas of students instead of just focusing on, choosing and using the correct experiences that are consistent with their own precepts, not to mention To cover and replace the misconceptions and imperfections already existing in the minds of students. Teachers should conform to the students ’psychological characteristics of learning, eliminate the conflict of thinking, break the bottleneck of cognition, promote the students’ in-depth study and develop the mathematical thinking.