A Teaching Practice Study On The Training Of Students' Intuitional Imagination

Intuitional imagination refers to the use of geometric intuition and spatial imagination to perceive the form and change of things,and to use graphics to understand and solve the problems of mathematics.In high school,Intuitional imagining ability penetrates into every corner of mathematics,such as function,trigonometric function,vector,and conic section.The literature study shows that the level of intuitional imagination of senior high school students is not high,and there are not many related teaching strategies.Therefore,it is necessary to carry out teaching practice research to develop high school students' intuitional imagination ability.The main work of this article includes:1.Through the literature research of the intuitional imagination,understanding the present situation of the level of intuitional imagination of high school students,laying the foundation for the identification of research objects and the formulation of the questionnaire,understanding the relevant teaching strategies,and putting forward my own new views based on the original teaching strategies.2.Using predecessors' evaluation framework and criteria of mathematical intuitional imagination,establishing the content of the questionnaire through interviews with experts and front-line teachers.3.Conducting teaching practice and analyzing the results of the questionnaire after teaching,exploring whether the teaching strategies based on literature can be used for reference in practice and putting forward suggestions for future teaching research.Conclusions are drew as below:First,the results of the questionnaire indicated that most of the senior sophomores' level of intuitional imagination were at the second level,and the proportion of students who could reach the third level was less.Second,following teaching strategies are effective:(1)In the geometry properties class,nature can be discovered and summarized through the student's self-exploration and teacher's assists;(2)Develop students' thinking progress,use different nature of geometric elements to solve geometric problems with different ideas;(3)Adopt the thought of combination of numbers and shapes positively and rationally in the example of algebraic problems with geometric solution.