Study On The Effective Permeation And Application Case Of The Thought Of Numeral-figure Combination In The Teaching Of High-school Mathematics

As an important mathematical thought,numeral-figure combination runs through the whole knowledge hierarchy of high school mathematics,it is also one of the mathematical thoughts stressed by the mathematical curriculum standard of high school.It contributes to trigger the students’ learning interest,to the understanding of mathematical knowledge by the students and to cultivate the mathematical thinking ability of students.In addition,as an important problem solving tool,the thought of numeral-figure combination can also provide a better thinking and method of solution for the students to solve mathematical problems.Thus,it is an issue worth of studying as to how to let the thought of numeral-figure combination effectively permeate into the teaching of high-school mathematics.This paper has conducted an investigation and analysis on the situation of effective permeation of thought of numeral-figure combination into the teaching of high-school mathematics through literature analysis,questionnaire survey,teacher-student interview,teaching practice and other research methods,specific to the existing concrete issues,a practical and effective teaching strategy had been summarized and extracted,confirming the teaching value of thought of numeral-figure combination and providing a workable reference for the teaching of high school mathematics and mathematical study of high school students.This paper consists of five parts with contents as follows:The first part: expounding the research background and significance of thought of numeral-figure combination,elaboration of the situation of teaching study on thought of numeral-figure combination,providing a concept definition of thought of numeral-figure combination.The second part: an actual investigation on the situation of effective permeation of thought of numeral-figure combination into the teaching of high-school mathematics,then the investigation result had been analyzed in terms of four aspects to draw according conclusions.The third part: specific to the existing problems mirrored by the investigation result,a teaching strategy of thought of numeral-figure combination had been proposed from the perspective of teaching concept,teaching material processing,teaching principle andpermeation approach.The fourth part: based on the teaching strategy proposed by this paper,the specific teaching case had been well designed and compiled,and an experimental teaching study had been conducted to two parallel grade-one classes of high school where the author took an internship.The fifth part: based on the conclusion of investigation and result of experimental teaching,some suggestions had been made to the school,teachers and students.