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《九年义务教育全日制初级中学数学教学大纲》明确指出:“初中数学的基础知识主要是初中代数、几何中的概念、法则、性质、公式、公理、定理以及由其内容所反映出来的数学思想和方法。”九年义务教育初中数学课本中蕴含着许多基础而又重要的数学思想和方法,数学教师必须细研大纲,根据大纲的要求去深挖教材,引导学生发掘和运用蕴含于课本内容之中的数学思想和方法,并将其求活推新。 近年来,从大学到中学的数学教学中都在倡导一种数学思想——数学模型化思想。它的推广极大地丰富了学生的思维,为数学教学改革提供了一条新的有效途径。本文通过几道课本平几题的教学,谈谈渗透数学模型化思想的做法和体会。 1 细研大纲,深挖教材,发掘共性,归纳模型
The “Nine-year Compulsory Education Whole-day Junior High School Mathematics Teaching Program” clearly states: "The basic knowledge of junior high school mathematics is mainly the concepts, laws, properties, formulas, axioms, theorems, and mathematics reflected by the content of junior high school algebra, geometry, Thoughts and methods.” The nine-year compulsory education junior middle school math textbook contains many basic and important mathematical ideas and methods. The mathematics teacher must carefully study the outline, dig deep in the teaching materials according to the requirements of the outline, and guide the students to explore and use the textbook. The mathematics thoughts and methods in the content, and it will push new things. In recent years, mathematics teaching from the university to the middle school has been advocating a kind of mathematics thought—mathematical modeling thought. Its promotion has greatly enriched students’ thinking and provided a new and effective way for mathematics teaching reform. This article, through the teaching of a few textbooks, discusses the practice and experience of penetrating mathematical modeling ideas. 1 Fine study outline, dig out teaching materials, explore commonalities, and induce models