{"title":"动态几何系统中函数依赖的可视化","authors":"V. Dubrovskii","doi":"10.32603/2071-2340-2020-4-93-112","DOIUrl":null,"url":null,"abstract":"We describe various methods of visualization of functions and geometric transformations encountered in school mathematics by means of the dynamic geometry systems such as MathKit, The Geometer’s Sketchpad, and GeoGebra and their usage scenarios in the spirit of modern trends in education. Novel opportunities for teaching and learning functions and their properties based on computer models are discussed. The focus is on specifically computerized interpretations of functions, in particular, the so-called dynagraphs, in which parallel axes of arguments and values are used, and the correspondence given by the function is found when the argument-point moves along its axis.","PeriodicalId":319537,"journal":{"name":"Computer Tools in Education","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Visualization of Functional Dependences in Dynamic Geometry Systems\",\"authors\":\"V. Dubrovskii\",\"doi\":\"10.32603/2071-2340-2020-4-93-112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe various methods of visualization of functions and geometric transformations encountered in school mathematics by means of the dynamic geometry systems such as MathKit, The Geometer’s Sketchpad, and GeoGebra and their usage scenarios in the spirit of modern trends in education. Novel opportunities for teaching and learning functions and their properties based on computer models are discussed. The focus is on specifically computerized interpretations of functions, in particular, the so-called dynagraphs, in which parallel axes of arguments and values are used, and the correspondence given by the function is found when the argument-point moves along its axis.\",\"PeriodicalId\":319537,\"journal\":{\"name\":\"Computer Tools in Education\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computer Tools in Education\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32603/2071-2340-2020-4-93-112\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Tools in Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32603/2071-2340-2020-4-93-112","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Visualization of Functional Dependences in Dynamic Geometry Systems
We describe various methods of visualization of functions and geometric transformations encountered in school mathematics by means of the dynamic geometry systems such as MathKit, The Geometer’s Sketchpad, and GeoGebra and their usage scenarios in the spirit of modern trends in education. Novel opportunities for teaching and learning functions and their properties based on computer models are discussed. The focus is on specifically computerized interpretations of functions, in particular, the so-called dynagraphs, in which parallel axes of arguments and values are used, and the correspondence given by the function is found when the argument-point moves along its axis.
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