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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 the traditional mathematics textbook, the teaching of trigonometric function is introduced from “ratio ” to “number ” as the logic clues, reasoning rigorously, distinct levels, mathematical abstraction is strong.Experiment with Professor Zhang Jingzhong “area method Trigonometry, the introduction of unit area rhombus sine ”design as a whole background, in the first grade to“ unit diamond area ”to define the introduction of sinusoidal trigonometry function of teaching and research, to expand students’ concept of sine“ Shape ”thinking to promote students in the follow-up mathematics learning in the number and shape of the integration of the logic function of the reconstruction of the teaching system lay the initial teaching experiment.