论托尔斯泰史诗微积分的创作手法

史诗微积分包含着微分和积分两个概念,从微观上说,微分就是"无限细分",从宏观上说,积分就是"无限求和";而从纵向坐标来说,微分包含速度、加速度和曲线,从横向坐标看积分指的是面积、体积。托尔斯泰小说在宏观与微观的张弛,横向与纵向交织的网络上展示出广大无比、巨细无遗丰富的分点,众多微分都以自身的方向、力度融汇在整个历史中,展示它们全体的合力,形成一个包罗万象的宏大历史积分。文章将从宏观与微观及横向与纵向两个板块,深入探讨托尔斯泰史诗微积分创作手法统摄小说各个部分。     

Shape Makers

Summary

Professional standards for school mathematics recommend that dynamic geometry programs such as the Geometer's Sketchpad can and should be used to enhance student learning of geometry. This article illustrates how a geometry computer microworld containing screen manipulable, dynamically transformable shape-making objects can promote the development of powerful geometric reasoning. Also described is the overall context and factors that should guide mathematics educators' design and use of instructional technology.