Research On The Status Quo And Training Strategies Of High School Students' Mathematical Thinking Ability In Images

In the process of mathematics learning and research,mathematical image thinking,mathematical logic thinking and mathematical intuition thinking constitute the three cornerstones of mathematical thinking,and the three are indispensable to form a whole playing role.Mathematical thinking in images is a thinking activity that reveals the essence and regularity of mathematical objects in mathematics learning process by means of mathematical images or mathematical representations.In the actual research of education and teaching,the study of mathematical thinking in images often focuses on the cultivation of pupils' mathematical thinking ability,and the mathematical thinking in images is included in the concrete thinking of images,which is considered as one aspect of concrete image thinking.This view obviously has obvious limitations and irrationality.However,for senior high school students,mathematics cognition and learning process are inseparable from mathematical thinking in images.Therefore,it is of theoretical significance and practical significance to study the present situation and teaching strategies of high school students' mathematical thinking ability.In this paper,through the method of literature review,review the research and analysis of mathematical thinking in images at home and abroad,the definition of the concept of mathematical image thinking ability of senior high school students,high school students in the process of mathematics learning,mathematics or mathematics by means of image representation,the typical way of generalization,to reveal the essence and laws of mathematical subject thinking activity.Through the process of mathematical thinking in images and the constituent elements of the analysis and research,analysis and integration,and ultimately the four basic dimensions of mathematical thinking ability of the image are:Mathematics imagery thinking ability,mathematical intuition ability,combination ability,space imagination.By consulting domestic and foreign literature,further to the mathematical image thinking ability,mathematics interest ability,combination ability,space imagination ability of the structure and elements of the definition.The mathematical representation thinking ability consists of generalization ability and mathematicalrepresentation of mathematical idea expression ability;mathematics intuition ability is divided into: image recognition ability and mode of compensation xenia xenia,similar to the image the image quality conversion ability,xenia xenia ability;combination ability is divided into: the number of solutions to shape and the ability to help shape the number of ability;the ability of space imagination is divided into: the formation of the concept of space ability,construction ability,geometrical representation of geometric representations of the operation ability.In order to explore the current situation of mathematical thinking ability in senior high school,the author designed and completed the test of mathematical thinking ability in senior high school(see Appendix)with the help of four dimensions of mathematical thinking ability and reference to high school mathematics curriculum standard and high school mathematics textbook.Then,some high school students were selected as samples to test the mathematical thinking ability of senior high school students.Through mathematical analysis software,the data obtained were sorted and analyzed,and the following conclusions were drawn.First,in terms of the overall level of mathematical thinking ability of high school students,the level of mathematical thinking ability is at a medium level,and the overall level of mathematical thinking ability of high school students needs to be improved.In particular,it is reflected in the combination of the number of forms.Second.The level of mathematics image thinking ability of the senior grade three students is higher than that of the second grade.In particular,it is reflected in the combination of the number of forms.Third.The ability of male students to think in mathematical image is obviously higher than that of girls.Especially in space imagination.Fourth.There is a significant positive correlation between the level of mathematical thinking ability of high school students and the results of normal mathematics.That is to say,for high school students,the thinking ability of mathematical image plays a vital role in the study of mathematics.According to the conclusion of the survey,the interview outline is compiled,and the senior high school mathematics teachers are randomly selected to interview.Throughinterviews,we further verify the accuracy and scientificity of the above conclusions,and provide a basis for training strategies for high school students' mathematical thinking ability.Finally,according to the current situation and shortcomings of the high school students' mathematical thinking ability,combined with the characteristics of educational theories and high school mathematics knowledge,the training strategies of high school students' mathematical thinking ability are presented for senior high school mathematics teachers.