Research On The Guidance Of Solid Geometry Learning Method Under The Core Quality Of Intuitive Imagination

After mathematical core competencies and values,a gleam of mathematical education teachers and researchers have devoted to mathematical Core Competencies and Values and in-depth interpretation and how to implement in the teaching.For the core competencies and values of intuitionistic imagination,the study of solid geometry is an important way to cultivate the ability of spatial imagination and improve the core competencies and values of intuitionistic imagination.However,from the current situation of high school students' learning of solid geometry,students will encounter some difficulties in learning,which will resulting in a low learning effect of solid geometry.so it is particularly important to guide the learning method of solid geometry,which plays a very important role in improving the core competencies and values of intuitionistic imagination.The author makes a research and analysis on the requirements of the core competencies and values of intuitionistic imagination and the learning requirements of solid geometry in “General High School Mathematics Curriculum Standards(2017 Edition)”.Through the analysis and collation of the relevant existing literature,we understood the research status of this field,which makes certain preparation for the research of this paper.On this basis,combining with the research questions of this article formulated the corresponding research ideas,using literature research,survey method,observation method to study the problem.The paper defined the core competencies and values,the mathematical core competencies and values,the core competencies and values of intuitionistic imagination and the study method instruction before the study was implemented.Based on the cognitive-discoery theory of learning by Bruner and the learning theory of constructivism,which guides the selection of learning methods at the macro level,and guided the study method of solid geometry with Van Hiel's geometric thinking development model and Duval's geometric cognitive relation model as the microscopic theoretical basis.Then,combining with the level of the core competencies and values of intuitionistic imagination in the curriculum standard,this paper analyzes the embodiment of the core competencies and values of intuitionistic imagination of the intuitiveimagination in the three-dimensional geometry questions in the college entrance examination,which provides a practical basis to choice the study method instruction of solid geometry.By designing the questionnaire and interview outline of the learning difficulties of solid geometry,we can understand the students' learning situation of solid geometry.After collecting the survey data,used SPSS and Excel to analyze the results from the dimensions of reliability analysis,factor analysis and correlation.Summarized the main factors of affecting the learning of solid geometry: unable to read pictures,weak spatial imagination;the basic knowledge is not firmly grasped,the concept theorem is not clearly defined;the expression of mathematical language lacks rigor and logic;improper use of learning strategies;non-intellectual factors,such as students' concept of learning,motivation and interest in solid geometry,and determination and perseverance in overcoming difficulties.And made the related explanation to these influencing factor.Based on the factors influencing the study of solid geometry,combined with the theoretical basis of the guidance of learning methods and the cognitive development level of senior high school students,put forward some contents of the guidance of solid geometry: attaching to the cultivation of intuitive thinking;make a mock-up use local materials by yourself;looking for local materials to replace the straight lines and planes in the space,to form the visual representation in the mind,and improve the spatial imagination gradually;consolidating the knowledge foundation and improving the ability of logical argumentation;choosing the appropriate learning strategies and improving the learning efficiency through the study guidance of three periods before class,during class and after class;guiding the problem solving method with the help of the four steps of Boleyn's problem solving to develop students' ability to analyze and solve problems in depth;learning instruction in non-intellectual factors,such as how to set up the correct study view,how to improve the study interest,and make the correct attribution of success.Then,selected "straight line,plane parallel determination and properties" as an example to show the learning method guidance in the whole teaching process before class,during class and after class,finally summarized and reflected on the implementation process of it.Through the research of this paper,I hope to provide effective methods of learning solidgeometry for high school students,help them learn solid geometry,and develop the core competencies and values of intuitionistic imagination.