Abstract:The process of abstracting mathematical symbols from practical problems==using the symbols to conduct calculations==applying the calculation results to the real-world scenarios is the process of mathematics.Explorating and experiencing this process incorporate the cognitive activities of the students,and promote their comprehensive development.In the teaching of mathematics,this exploration process involves the participation of both the teacher and the students,who share a mutual objective and base their discussions on the content of the text book.The students,under the guidance of the teacher,not only learn to master knowledge proactively,but also gain proficiency in conducting analysis,develop their ability of critical thinking,and cultivate their personalities in the process of mathematics.Therefore,this process is enriching and integrated.A good cognitive system is terse,simple,evolving,with rigorous thinking and wide application.It encourages the teaching process that starts from a holistic and systematic design,helps the students build up their cognitive systems,and is helpful for promoting the efficiency of the teaching process,especially in terms of advancing the students' ability of learning.