Research On The Evaluation Of Geometric Intuition Ability Of Senior Two Students And Its Promotion Strategy

Geometric intuition not only plays an important role in the development of mathematics history,scientific research,education and teaching,but also is an inexhaustible driving force to promote the scientific progress and development of physics,biology and other fields.With the promulgation of Mathematics Curriculum Standard for Senior High School(2017 Edition),it is important and urgent to construct the geometric intuitionistic evaluation index system under the core literacy of intuitionistic imagination.What is the present situation of high school students' geometric intuitive ability? What are the deficiencies? How to improve the intuitive ability of geometry?The methods of literature analysis,questionnaire survey,interview and case study were used in this study.Analysis method,comprehensive research and analysis of the current situation and characteristics of students' geometric intuitionistic ability.Through consulting a large number of documents,we can understand the existing research contents of geometric intuition.First of all,we define the concept and connotation of intuition,mathematics and geometry.Then,through the connotation,the value of education and teaching,the cultivation strategy and so on,this paper focuses on the discrimination of the related concepts of geometric intuition,and sums up the three main characteristics of geometric intuition: intuition,scientificalness and creativity.It is pointed out that "geometric intuition" is to analyze and understand the spatial form and quantitative relationship of the mathematical objects studied by means of intuitionistic perception,reduction and representation of geometric figures,so as to effectively solve and expand the literacy of mathematical problems.Geometry refers to any visualized graphics and images in the visual image library.Yes After combing the theoretical basis of geometric intuition,combining with interview and consulting methods,this paper constructs a three-dimensional pyramid evaluation framework of geometric intuitionistic ability from content dimension,capability dimension and horizontal dimension.In particular,the four evaluation indexes of geometric intuitionistic ability are graphical representation problem ability,intuitionistic analysis problem ability,graphic problem solving ability,and intuitionistic expansion of problem ability in the dimension of ability.According to the specific evaluation index,the test paper of geometric intuitionistic ability is compiled,and the test paper is revised by interview method and prediction test method.Finally,the positive test paper is determined.On October 13,2018,a county in Ganzhou City is tested by geometric direct observation test paper.A survey was carried out among the new high school students in the third grade of senior high school.Finally,the test results were statistically analyzed by SPSS23 and Excel,and the reliability and validity were analyzed.After the scientific and effective research of geometric intuitionistic evaluation,the level performance and characteristics of geometric intuitionistic ability of senior and second-grade students were analyzed.Suggestions and strategies for improving geometric intuition are put forward.Through the investigation and research,the following conclusions are drawn:(1)the overall level of students' geometric intuitionistic ability is good,but the concrete level of each ability dimension is different;(2)the difference of the whole level of geometry and intuition among different groups is different,the difference between students of liberal arts and science is obvious,and there may be no difference between men and women as a whole,but the research shows that the performance ofboys and girls in each dimension is different;(3)the overall level of geometric intuitive ability of students in different content dimensions is good,but "function and its application" need to be improved;(4)there is a correlation between the ability of geometric intuitionistic ability of senior and second grade students and their own mathematics achievement.Based on the investigation and research results of the students' geometric intuitionistic ability,the teaching strategies to improve the students' geometric intuitive ability are as follows:(1)guiding students to observe carefully and accumulate rich geometric representation;(2)strengthen the consciousness of geometric intuition and display the charm of geometric intuition;(3)attach importance to practical operation and deepen the understanding of mathematical knowledge;(4)Infiltrate the consciousness of number transformation,with the help of graphics to explore ideas;(5)Visual instructional design,media-aided visual display.