Research On The Content And Reaching Path Of The Goal Of Mathematical Thought And Method

The "General High School Mathematics Curriculum Standards(2017 Edition 2020Revision)" proposes to reconstruct the high school curriculum under the field of core literacy,the goal of the high school mathematics curriculum is to obtain the "four basics",improve the "four abilities",and "three sessions",the core literacy of mathematics disciplines is the concentrated embodiment of these curriculum objectives,and the mathematical thinking method is the presentation of the basic ideas of mathematics in the "four basics" in a larger scope.As a kind of implicit knowledge,it is difficult to achieve the goal of mathematical thinking method in the classroom,so it is meaningful to carry out research on the content of the goal of mathematical thinking method and its path to achieve it.Conic curve knowledge is one of the important contents of high school mathematics,it as the core content of plane analytic geometry,contains extremely rich mathematical ideas and methods,its status in the college entrance examination should not be underestimated,often as the final question appears,is one of the popular test points and important test points of the college entrance examination.Therefore,the research on the content of mathematical thinking method goals in conic curves is of great significance,which can not only strengthen the application of mathematical thinking methods,but also help to improve students’ mathematical core literacy.In this study,the goal of mathematical thought and method is defined as the rational understanding of the nature of mathematics formed in the process of learning mathematics and the various ways and means of discovering,raising,analyzing and solving problems by applying mathematical knowledge.This paper mainly discusses the development and change process of mathematical thought and method objectives in curriculum standards and analyzes and collates the content of mathematical thought and method objectives in curriculum standards and textbooks by taking conic curve as an example.Through questionnaire survey,classroom observation,interview and test,the existing problems in the current teaching of mathematical thinking method and objectives are concluded: unclear goal design,inadequate target implementation and untimely target evaluation,and the path to achieve mathematical thinking method and objectives is proposed from three aspects: before class,during class and after class:First of all,carefully prepare the lesson and dig deeply into mathematical thinking and methods.Then,repeat the infiltration of mathematical thinking and methods in each link of teaching implementation.Finally,reflect on the teaching of mathematical thinking and methods through after-class evaluation,and give some teaching fragments to illustrate.