数学中用“菱形面积”定义正弦的教学实验  

Trial: Defining Sine by Diamond Area in Junior High School Mathematics

作　　者：崔雪芳[1] 

机构地区：[1]宁波教育学院信息与艺术学院,浙江宁波315010

出　　处：《宁波大学学报（理工版）》2011年第2期128-132,共5页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：浙江省教育科学规划2010年度(高校)研究课题(SCG404)

摘　　要：在传统的数学教材中,三角函数的教学从"比值"引入以"数"为逻辑线索展开,推理严密、层次分明、数学抽象性强.实验以张景中院士"用面积方法建立三角学,用单位菱形面积引入正弦"的整体设计思想为背景,在初一年级进行以"单位菱形面积"定义正弦引入三角函数的教学研究,旨在拓展学生对正弦概念的"形"的思考,促进学生在后续数学学习中数和形的融合,为重建三角函数的教学逻辑体系打下初期的教学实验基础.In traditional mathematics material,the teaching on trigonometric functions usually begins with ratio and develops with number,which features close reasoning,clear structure and strong mathematical abstraction.To introduce the concept of ＂shape＂ in sine definition for elementary school students,the thinking of number and shape can thus be combined,which is conducive to the subsequent teaching and learning process.In this paper,the ＂unit area of diamond＂ is used to define trigonometric functions in grade 7 based on the design proposed by Academician Zhang Jing-zhong which establishes trigonometry through area and introduces sine function by unit area of diamond.The purpose of this article it to lay the foundation for primary understanding the trigonometric functions for elementary school students,and improve teaching efficiency.

关 键 词：数学 用面积定义正弦 教学实验 

分 类 号：N45[自然科学总论]