Research On The Teaching Principles Of Mathematics Recreation Under The Guidance Of Core Literacy

Nowadays,striving to pursue the development of students' core literacy in mathematics is an expected requirement of high school mathematics education and an important subject of mathematics education research,how to implement the core literacy of mathematics in practice is a realistic subject in mathematics education research.Hans Freudenthal's principles of mathematics reality,mathematics,recreation and rigor are the basic principles of mathematics education,which are generally recognized in the field of mathematics education,especially under the guidance of core literacy,how to implement the principle of re-creation in mathematics teaching is particularly important.This research is based on a large number of literatures on the core literacy theory of mathematics,Hans Freudenthal's principle of re-creation and academician Zhang Jingzhong's theory of educational mathematics.Under the new background,the connotation,characteristics,educational methods and corresponding requirements of mathematics re-creation teaching principles have been studied and given new meanings.As an important content of high school mathematics,trigonometric function is the algebraization of geometry,which has the characteristics of strong integration,strict logic,high abstraction and geometric intuitiveness.In order to understand the current status of trigonometric function teaching in high schools and the implementation of its core literacy in mathematics,the research conducted questionnaires and interviews with some teachers and students of a high school in Nanchang by means of investigation and research.The results show that many students are not clear about the goal of "why to learn" and "how to learn" in trigonometric function learning,and some teachers didn't pay attention to cultivating students' core literacy of mathematics in teaching.In view of these problems,the corresponding teaching suggestions are given in the research.In view of this,in order to better implement the core literacy of mathematics in high school mathematics teaching,the research takes trigonometric functions as an example and uses the mathematics re-creation teaching principles to carry out case teaching.the teachers recreate the content of the teaching materials and provide students with a free discovery environment for learning,at the same time,students are allowed to complete the re-creation through discovery and demonstration in the classroom.The research also analyzed the teaching fragments and found that through re-creation,students can better grasp the essence of mathematics knowledge in the concept learning and proposition learning of trigonometric functions,and can master the research tools,ideas and methods of mathematics,which can improve students' interest in learning mathematics and learn to mathematically,to truly achieve the development of the core literacy of mathematics.