函数单调性定义的“八步”教学设计

The“Eight-Step” Teaching Design of Function Defining the Monotonicity of Function

摘要: 函数单调性是高中数学的核心概念之一. 由于其学习过程是以顺应为主、同化为辅,因此它是教学的难点. 函数单调性定义的教学过程可采用“八步”即“画”—“看”—“说”—“描”—“定”—“懂”—“用”—“悟”的教学设计,说明了设计意图,这样设计有利于突破教学难点.

Abstract: Function monotonicity is one of the core concepts in senior high school mathematics,and it is a difficult point of teaching in that the learning process is conformance-based and affiliated with assimilation. The teaching process of function monotonicity can take the following8 steps: namely, draw, watch, say, describe, define, understand, apply and transfer. The process is illustrated with the design intention, which is conducive to the breakthrough of teaching difficulties.