落实“过程性”与“结构性”原则是实现数学教育价值的根本所在

Implement the "Process" and "Structural" Principle is to Realize the Essence of the Value of Mathematics Education

揭示数学过程既是一种特殊的认识过程,又是一个促进学生全面发展的过程,它是认识与发展相统一的活动过程。在数学教学活动中,揭示数学过程是师生双方在数学教学目的指引下,以数学教材为中介,教师组织和引导学生主动掌握数学知识、发展数学能力、形成良好个性心理、优化思维品质的认识与发展相统一的活动过程。良好的认知结构具有简约性和单纯性、迁移性和发展性、广泛性和严密性,从结构的观点出发设计和实施教学,有利于完善和发展学生良好的数学认知结构,有利于提高数学教学效益尤其是学生学习能力持续发展的效益。

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.