数学学习过程可看作是一个数学认识结构的变化过程,其实质是一个思维转化的过程,即表象思维、机械思维、抽象思维、创造性思维的转化。在层次结构教学中,学生的数学学习过程是怎样通过这四个思维层次的转化来实现数学认识结构变化的呢?第一,是学生对数学“问题解决”的感知。学生在明确学习目标的基础上,通过对数学问题的阅读、观察、体验或交流等表象思维活动,使新的学习内容与原有的 Mathematical learning process can be seen as a mathematical cognitive structure of the changing process, its essence is a process of thinking transformation, that is, thinking, mechanical thinking, abstract thinking, creative thinking transformation. In the process of teaching in the hierarchy, how does the process of mathematics learning make the change of mathematical cognition structure through the transformation of these four levels of thinking? The first is the students’ perception of math “problem solving ”. Students in a clear learning objectives, based on the mathematical problems of reading, observation, experience or exchange of thinking and thinking activities, so that the new learning content and the original