课程.教材.教法
課程.教材.教法
과정.교재.교법
Curriculum,Teaching Material and Method
2008年
7期
49~52
,共null页
函数 演变 教学 启示
函數 縯變 教學 啟示
함수 연변 교학 계시
function; evolution; teaching; implication
函数是数学中最基本的概念,也是高中数学的核心内容,函数的思想方法贯穿高中数学课程的始终。根据历史发生原理,数学教育取向的数学史研究的主要目的之一就是获取相关知识点(概念、公式、定理)的教学启示。基于函数概念演变阶段与发展动力的分析,高中函数教学给我们的启示是:从丰富的现实背景及具体的函数入手抽象概括函数的本质;注重从不同角度认识函数概念;注重对运动、变化的体现与分析;从数学史料中精选函数教学材料。
函數是數學中最基本的概唸,也是高中數學的覈心內容,函數的思想方法貫穿高中數學課程的始終。根據歷史髮生原理,數學教育取嚮的數學史研究的主要目的之一就是穫取相關知識點(概唸、公式、定理)的教學啟示。基于函數概唸縯變階段與髮展動力的分析,高中函數教學給我們的啟示是:從豐富的現實揹景及具體的函數入手抽象概括函數的本質;註重從不同角度認識函數概唸;註重對運動、變化的體現與分析;從數學史料中精選函數教學材料。
함수시수학중최기본적개념,야시고중수학적핵심내용,함수적사상방법관천고중수학과정적시종。근거역사발생원리,수학교육취향적수학사연구적주요목적지일취시획취상관지식점(개념、공식、정리)적교학계시。기우함수개념연변계단여발전동력적분석,고중함수교학급아문적계시시:종봉부적현실배경급구체적함수입수추상개괄함수적본질;주중종불동각도인식함수개념;주중대운동、변화적체현여분석;종수학사료중정선함수교학재료。
Function is a basic concept in mathematics and also is the core content of mathematics for senior high schools, and its thought and method go through mathematics curriculum of senior high schools. It is one of the aims to obtain some implications for teaching relevant knowledge in studying history of mathematics based on the historical-genetic principle. By analyzing the phase as well as the impetus of the evolution of function concept, we get some suggestions from the teaching of function in senior high schools: abstracting intrinsic quality of function concept from abundant real backgrounds and some concrete functions; understanding function concept from different perspectives; paying attention to the presentation and analysis for movement and change; selecting teaching materials from the history of mathematics.