[主持人按 “建构说”是传统的“授予说”的直接否定!建构主义认为,学习并非是对于教师所授予的知识的被动接受,而是学习者以自身已有的知识和经验为基础的主动建构过程——这正是关于学习活动本质的认识论分析. 在我看来,数学教学上最容易做也最需要去做的一项建构活动就是和谐扩展(即引伸研究):以已有的较简单的有联系的同型知识和经验为基础,和谐地提出问题,把它扩展到更广泛的同一类的新领域中;然 [The moderator’s “construction theory” is the direct negation of the traditional “grant theory”. Constructivism believes that learning is not a passive acceptance of knowledge provided by teachers, but that learners use their own knowledge and experience as the basis. The active construction process - this is precisely the epistemological analysis of the nature of learning activities. In my opinion, a construction activity that is the easiest and most needed to do in mathematics teaching is the harmonious extension (that is, the extension study): On the basis of simpler, linked and homogenous knowledge and experience, raise questions in harmony and extend it to a wider range of new fields of the same class;