Research On The Current Teaching Situation Of "Preliminary Solid Geometry" In Senior High School Based On Mathematical Core Literacy

In order to implement the basic task of cultivating students by virtue proposed by the 18 th National Congress of the Communist Party of China,the senior high school mathematics curriculum standard(2017 Edition)has formulated the high school academic quality requirements based on the mathematics core literacy,so the teaching of senior high school mathematics should take the cultivation of students' mathematics core literacy as the goal.As an important module of high school mathematics,the teaching of solid geometry plays an irreplaceable role in the cultivation of students' intuitive imagination literacy and logical reasoning literacy,as well as the cultivation of students' mathematical abstract literacy.Then,before exploring how to cultivate students' mathematical core literacy through the preliminary teaching of solid geometry,we should first explore the specific aspects of mathematical core literacy in the preliminary teaching of solid geometry,and then understand the current level of students' mathematical core literacy in the preliminary teaching of solid geometry.On the basis of referring to the research on the connotation and level division of mathematical core literacy and the literature on the level division of geometric thinking,this study divides the level of mathematical core literacy in the preliminary three-dimensional geometry,and then,on this basis,compiles the test volume of mathematical core literacy of high school students in the preliminary three-dimensional geometry,and the test volume of high school teachers on three-dimensional geometry Preliminary "Teaching Questionnaire",followed by a survey of senior high school students and senior high school mathematics teachers in K city.The former obtains the current situation of the students' current level of mathematical core literacy in the preliminary three-dimensional geometry,the differences of different groups of students' level of mathematical core literacy,the correlation between different factors and students' level of mathematical core literacy.At last,based on the analysis of the results,some suggestions are put forward for thepreliminary teaching of solid geometry.Based on the statistical analysis of the data collected from the survey,the author draws the following conclusions:(1)students' logical reasoning literacy is the best,followed by intuitive imagination literacy,followed by mathematical abstract literacy,and the worst is mathematical operation literacy;(2)students of different genders have significant differences in intuitive imagination literacy and mathematical operation literacy,There are significant differences between arts students and science students only in the level of mathematical operation literacy.There are significant differences between key class students and ordinary class students in the level of three mathematical core literacy: intuitive imagination,logical reasoning and mathematical operation;(3)students' logical reasoning literacy and mathematical operation literacy are significantly positively related to their liking for solid geometry,and students' intuitive imagination There is a significant positive correlation between the three mathematical core literacy levels of logical reasoning and mathematical operation and their normal mathematical performance;(4)teachers do not have a deep understanding of the preliminary teaching of solid geometry and the mathematical core literacy.According to the investigation conclusion and relevant teaching theory,this paper puts forward some preliminary teaching suggestions on how to cultivate and improve the students' mathematical core literacy:(1)pay attention to the process guidance of concept teaching,improve the students' mathematical abstract literacy;(2)enhance the teaching of different reasoning forms,improve the students' logical reasoning literacy;(3)cultivate the students' habit of using graphics to describe problems,Improve students' intuitive imagination quality;(4)algebra geometry problems appropriately,improve students' mathematical operation quality;(5)dynamic mathematics software assisted teaching,improve students' interest in learning.