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数学建模是数学教学中通过建立数学模型来处理各类问题的一种教学方法。随着课程改革的深入发展,培养学生的建模意识和发展学生的建模能力具有重要的意义。在此,笔者以“完全平方公式”一课为例,谈一下在课堂教学中如何引导学生建立数学模型。1创设情境导入新课,引导学生感知模型上课之初,笔者提出问题:请大家观察a~2+b~2与(a+b)~2有什么不同?学生:这两个式子的意义不同,前者表示a、b两数的平方和,后者表示a、b两数和的平方。
Mathematical modeling is a teaching method in mathematics teaching that deals with all kinds of problems by establishing mathematical models. With the further development of the curriculum reform, it is of great significance to cultivate the students ’awareness of modeling and the development of students’ modeling skills. Here, I take the “complete square formula” as an example, talk about how to guide students in the classroom teaching to establish mathematical models. 1 Create situation into a new lesson to guide students to perceive the model At the beginning of the class, the author questions: Please observe what is the difference between a ~ 2 + b ~ 2 and (a + b) ~ 2? Is different, the former represents the sum of the squares of a and b, and the latter represents the square of the sum of a and b.