| The axiomatic method has the characteristics of simplicity,order,and system.It can not only be used to clarify the basis of the theory we have established,but also a tool for specific mathematical research.The axiomatic method of thinking is also an inherent requirement for fulfilling the core literacy of mathematics(especially the literacy of logical reasoning).Therefore,according to the cognitive laws of high school students,how to effectively infiltrate and train axiomatic thinking methods,and how to apply axiomatic thinking methods in high school mathematics teaching,has become a major theoretical and practical problem in mathematics curriculum reform.This article uses literature analysis,comparative research and other research methods to sort out the development history of axiomatic methods and the relationship between axiomatic methods and the development of Chinese mathematics curriculum.Our research believes that the infiltration and training of axiomatic methods is an important way to help students understand and master mathematical knowledge,cultivate mathematical logical thinking,and develop the core literacy of mathematics.Theoretically,we have a logical starting point for the axiomatic method in high school mathematics teaching,the principle of landing(follow the students’ psychological and cognitive laws,the principle of permeability,and focus on the development of students’ core literacy in mathematics),and the axiomatic method in mathematics teaching Important theoretical issues such as maneuverability ideas and how to realize the educational goals of mathematics education under the vision of axiomatic methods have been systematically and deeply explored.In practice,we take high school solid geometry teaching as an example to explore the teaching paradigm of axiomatic thinking and methods that can be followed in geometry concept teaching and problem-solving teaching,so that axiomatic thinking and methods take root in mathematics teaching practice in a true sense. |
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