Mathematical culture refers to the viewpoints,thoughts and methods of mathematics,and also includes the contribution of mathematics in the development of human society.In the process of mathematics learning,mathematics culture has a very high educational value.College entrance examination is an important way for Chinese colleges and universities to select talents,the "General High School Mathematics Curriculum Standards(2017 Edition,2020 Revision)" clearly requires mathematical culture should be integrated into the college entrance examination.In recent years,the content of mathematical culture has been continuously integrated into the college entrance examination test questions,so it’s necessary to study and analyze the characteristics of the mathematics cultural test questions in college entrance examination and students’ problem-solving situation,in order to put forward the teaching strategy to solve the mathematics culture test questions,and develop the students’mathematical core quality.Firstly,through the literature research method,the characteristics of the mathematics cultural test questions in college entrance examination are analyzed.The research object is the 2018-2022 national college entrance examination mathematics test papers containing mathematical culture content,a total of 124 questions were selected.Secondly,the questionnaire survey method was used to study the situation of high school students solving the mathematics culture test questions.Thirdly,based on the previous research,this paper gives the proposition enlightenment of the mathematical culture test questions,and puts forward the corresponding problem-solving teaching strategy:at the knowledge level,help students to construct the knowledge network system,and pay attention to make the students master the mathematical thinking and method;At the thinking level,students’ reading comprehension ability should be paid more attention to,and at the same time,to constantly cultivate students’ logical thinking,intuitive imagination and computing ability;At the level of experience activities,to cultivate students’ consciousness of active exploration,and help students to summarize and integrate in class and after class;In the level of will quality,encourage students to face the problem bravely and cultivate students’ quality of perseverance.Finally,according to the above research,the case analysis of problem-solving teaching of the mathematics culture test questions is made,teaching activities are specifically divided into ① browse the topic,understand the background;② read carefully,clarify the problem;③ find the key,develop strategies;④implementation strategy,solve the problem;⑤ test results,reflect and review these steps;⑥ summarize and construct the framework,in order to provide the front-line teachers with corresponding problem-solving teaching reference. |