| Mathematical thoughts is the essence of mathematics.The acquisition of mathematics by students is one of the overall goals of mathematics curriculum standards.Although the mathematics thoughts in the statistics of daily listening and commenting classes are highly valued by teachers,the penetrating mathematics ideas in teaching are mainly concentrated in the exercises class.The mathematics ideas mentioned in the new class are few,and the examples are mainly concentrated in teaching.The problem link,as an important part of new knowledge generation,is ignorant of the mathematical ideology that is introduced everywhere and the new knowledge exploration link.The reference to mathematics is often limited to literally“this is...thought” and so on.It is both hard and light.Therefore,the status quo of infiltration mathematics in teaching was investigated,and the main causes of the survey were analyzed.Teachers lacked the strategies and approaches of mining mathematics ideas in the new teaching.Combining with mathematics methodology,through the literature review method,the definition of mathematics concepts and the connotation of common mathematics ideas in junior middle schools are discussed.Based on a large number of cases,a penetration strategy based on spiraling knowledge of mathematics and knowledge is studied,including “low starting point”—based on basic knowledge.Starting from the point of penetration of mathematical thinking,it is beneficial to solve the puzzlement of“difficult” in mathematics thinking;“frequently asked questions”—using problem strings to guide students to deepen mathematics thinking,which is conducive to solving penetrating mathematics thoughts that are mostly teachers' perplexity;“high construction”,In the common mathematical thinking in the construction of different knowledge in the framework of sublimation of mathematical thinking;"broad field of vision"-through the main ideas of the common mathematics ideas in junior high school to broaden their horizons,mining mathematics ideas.Combining with constructivist theory and a large number of cases,the strategy based on infiltrating mathematics thoughts in different teaching links was studied—the implementation of the essence of mathematics,the introduction of links to“mathematicalization”,and the possibility of mining mathematics in the introduction link;the problem string template,The "modeling" of the exploration process will promote the active participation of students in the exploration process,and so on.Based on humanistic learning theory and teaching theory,this paper studies the infiltration strategies based on different student characteristics.It is student-oriented,diversified in expression,and easy to understand mathematical thinking in different stages;Students evaluate diversity and promote students' active participation in the penetration of mathematics.The research strategy has opened up new horizons for teaching and learning activities,which is conducive to promoting teachers to improve the “rigid and abstract”status of the penetration of mathematics thinking,and at the same time helps to improve students' misunderstanding of “difficult” mathematics thinking,and to a certain extent Teachers in the introduction and the new knowledge inquiry link more concerned about the penetration of mathematical thinking,help teachers to guide students to perceive the mathematics ideas in the process of mathematical knowledge generation,so that mathematics ideas everywhere. |
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