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教学是一项系统工程,在实际操作中,需要教师融入“为师”的智慧,合理地对教学内容进行组合和拓展延伸。但这种拓展延伸应遵循一定的规律,不能随性地对教学内容进行外延的扩展或非等价的替换,从而导致知识性的错误发生,更不能用想当然地杜撰来误导学生,造成不应有的错觉和假象。比如正、反比例,教材中先通过具体的实例,用数据来让学生对正、反比例有一个基本印象后,再揭示正、反比例的意义:两种相关联的量,一种量变化,另一种量也随着变化。①如果这两种量中相对应的两个数的比值一定,这两种量就叫做成正比例的量,它们的关系叫做正比例关系。如果用字母x和y表示两种相关联的量,用k表示它们的比值(一定),正比例关系可以表示为:y/x=k(一定);②如果这两种量中相对应的两个数的积一定,这
Teaching is a systematic project. In practice, teachers need to be integrated into the wisdom of “being teachers” and rationally combine and expand the teaching contents. However, this extension should follow a certain extension of the law, can not be with the nature of the teaching content of the extension or non-equivalent replacement, resulting in knowledge of the error occurred, but can not be hypocritical to mislead students, resulting in should not Some illusions and illusions. For example, positive and inverse proportion, the textbook first through specific examples, the data to enable students to have a basic impression of positive and negative proportion, and then reveal the meaning of the positive and inverse proportion: two related to the amount of a change in volume, the other With the amount of change. ① If the ratio of the two numbers corresponding to these two quantities is constant, the two quantities are called proportional quantities, and their relationship is called the proportional relation. If we use the letters x and y to represent the two related quantities, we use k to denote them (certain). The proportional relation can be expressed as: y / x = k (certain); ② If the two corresponding quantities The product of the number of a fixed, this