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数学知识是一个严密的知识系统,学生在学习、掌握数学知识的过程中,也就形成了相应的认知结构。当新知识与原有的认知结构相一致的情况下,新知识就被纳入原有认知结构之中,从而扩大了它的内含,这种过程叫同化。随着数学学习中知识的不断同化,学生的数学认知结构也就不断地得到扩大、加深和发展。所以,教师在教学中就要经常挖掘知识的内在联系,促使学生将知识同化于已有的认知结构,并促进它的发展。
Mathematical knowledge is a tight knowledge system, students in the process of learning, mastering mathematical knowledge, it also formed the corresponding cognitive structure. When the new knowledge is consistent with the original cognitive structure, the new knowledge is incorporated into the original cognitive structure, which expands its implication, a process called assimilation. With the continuous assimilation of knowledge in mathematics learning, students' cognitive structure of mathematics has been continuously expanded, deepened and developed. Therefore, teachers in teaching should often tap the intrinsic link of knowledge, prompting students to assimilate knowledge to the existing cognitive structure and promote its development.