导数概念导入的情境创设探究

Study on the Situation Creation of Derivative Concept Introduction

摘要: 导数是微积分最基础的核心概念，教师应引导学生观察感知实际情境和具体实例使学生体会导数与变化率的关系，在对实际背景问题研究的基础上，抽象概括出导数的概念，用数学符号给予表征，这是一个具体–抽象–具体的过程，是形象思维到抽象思维的过渡，渗透了从特殊到一般的数学思想。因此，通过情境创设来帮助学生理解导数的本质和意义显得尤为重要。本文将探讨如何创设有效的教学情境，导入导数概念，帮助学生更好地理解和掌握导数。

Abstract: Derivative is the most basic core concept of calculus, teachers should guide students to observe and perceive the actual situation and concrete examples so that students understand the relationship between the derivative and the rate of change, on the basis of the research of actual background problems, abstract summary of the concept of derivative, with mathematical symbols to give representation, this is a concrete-abstract-concrete process, which is the transition from image think-ing to abstract thinking, penetrates from the special to the general mathematical thought. Therefore, it is particularly important to help students understand the essence and meaning of deriva-tives through situation creation. This paper will discuss how to create an effective teaching situation and introduce the concept of derivatives to help students better understand and master derivatives.