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课程特点、学生起点、知识基点是制约数学教学有效性的关键点.本文拟从这几个关键点的分析入手,初步探讨数学教学有效性提高的相关机制与策略.1.整体把握课程特点根据系统科学原理,数学课程系统是其要素(如数学教学目标、教学内容、教学方式与教学评价等)内部、要素之间及系统与外界环境之间相互作用所构成的有机体,整体性是其最基本的特性.比如,就构成课程教学内容的数学知识系统而言,其整体性一方面体现在教学内容这个要素与其它要素的相互协调,另一方面体现在知识系统内部的统一性
The characteristics of the course, the starting point of students and the starting point of knowledge are the key points that restrict the effectiveness of mathematics teaching.This paper intends to start with the analysis of these key points, and discuss the relevant mechanisms and strategies to improve the effectiveness of mathematics teaching.1. Systematic principles of science, mathematics curriculum system is its organism (such as mathematics teaching objectives, teaching content, teaching methods and teaching evaluation, etc.), the elements and between the system and the external environment of the interaction between the composition of the organism is the most For example, in terms of the mathematical knowledge system that constitutes the teaching content of the course, the integrity of the teaching content on the one hand is reflected in the coordination of the elements of the teaching content with other elements and on the other hand, the unity of the knowledge system