满足分形曲线1C:MathKit

IF 2.1 Q1 EDUCATION & EDUCATIONAL RESEARCH

Informatics in Education Pub Date : 2020-05-13 DOI:10.32517/0234-0453-2020-35-3-38-48

O. Korchazhkina

{"title":"满足分形曲线1C:MathKit","authors":"O. Korchazhkina","doi":"10.32517/0234-0453-2020-35-3-38-48","DOIUrl":null,"url":null,"abstract":"The article presents a methodological approach to studying iterative processes in the school course of geometry, by the example of constructing a Koch snowflake fractal curve and calculating a few characteristics of it. The interactive creative environment 1C:MathKit is chosen to visualize the method discussed. By performing repetitive constructions and algebraic calculations using ICT tools, students acquire a steady skill of work with geometric objects of various levels of complexity, comprehend the possibilities of mathematical interpretation of iterative processes in practice, and learn how to understand the dialectical unity between finite and infinite parameters of flat geometric figures. When students are getting familiar with such contradictory concepts and categories, that replenishes their experience of worldview comprehension of the subject areas they study through the concept of “big ideas”. The latter allows them to take a fresh look at the processes in the world around. The article is a matter of interest to schoolteachers of computer science and mathematics, as well as university scholars who teach the course “Concepts of modern natural sciences”.","PeriodicalId":45270,"journal":{"name":"Informatics in Education","volume":"28 1","pages":"38-48"},"PeriodicalIF":2.1000,"publicationDate":"2020-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Meet fractal curves with 1C:MathKit\",\"authors\":\"O. Korchazhkina\",\"doi\":\"10.32517/0234-0453-2020-35-3-38-48\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article presents a methodological approach to studying iterative processes in the school course of geometry, by the example of constructing a Koch snowflake fractal curve and calculating a few characteristics of it. The interactive creative environment 1C:MathKit is chosen to visualize the method discussed. By performing repetitive constructions and algebraic calculations using ICT tools, students acquire a steady skill of work with geometric objects of various levels of complexity, comprehend the possibilities of mathematical interpretation of iterative processes in practice, and learn how to understand the dialectical unity between finite and infinite parameters of flat geometric figures. When students are getting familiar with such contradictory concepts and categories, that replenishes their experience of worldview comprehension of the subject areas they study through the concept of “big ideas”. The latter allows them to take a fresh look at the processes in the world around. The article is a matter of interest to schoolteachers of computer science and mathematics, as well as university scholars who teach the course “Concepts of modern natural sciences”.\",\"PeriodicalId\":45270,\"journal\":{\"name\":\"Informatics in Education\",\"volume\":\"28 1\",\"pages\":\"38-48\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2020-05-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Informatics in Education\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32517/0234-0453-2020-35-3-38-48\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"EDUCATION & EDUCATIONAL RESEARCH\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Informatics in Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32517/0234-0453-2020-35-3-38-48","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}

引用次数: 0

摘要

本文以科赫雪花分形曲线的构造为例，介绍了一种研究几何课程中迭代过程的方法，并计算了它的几个特征。选择交互式创意环境1C:MathKit来可视化所讨论的方法。通过使用ICT工具进行重复构造和代数计算，学生掌握了处理不同复杂程度几何对象的稳定技能，理解了实践中迭代过程的数学解释的可能性，并学习如何理解平面几何图形的有限参数和无限参数之间的辩证统一。当学生熟悉这些相互矛盾的概念和范畴时，这就补充了他们通过“大思想”的概念对所学学科领域的世界观理解经验。后者使他们能够以全新的眼光看待周围世界的进程。这篇文章是计算机科学和数学教师以及教授“现代自然科学概念”课程的大学学者感兴趣的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Meet fractal curves with 1C:MathKit

The article presents a methodological approach to studying iterative processes in the school course of geometry, by the example of constructing a Koch snowflake fractal curve and calculating a few characteristics of it. The interactive creative environment 1C:MathKit is chosen to visualize the method discussed. By performing repetitive constructions and algebraic calculations using ICT tools, students acquire a steady skill of work with geometric objects of various levels of complexity, comprehend the possibilities of mathematical interpretation of iterative processes in practice, and learn how to understand the dialectical unity between finite and infinite parameters of flat geometric figures. When students are getting familiar with such contradictory concepts and categories, that replenishes their experience of worldview comprehension of the subject areas they study through the concept of “big ideas”. The latter allows them to take a fresh look at the processes in the world around. The article is a matter of interest to schoolteachers of computer science and mathematics, as well as university scholars who teach the course “Concepts of modern natural sciences”.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Informatics in Education EDUCATION & EDUCATIONAL RESEARCH-

CiteScore

6.10

自引率

3.70%

发文量

审稿时长

20 weeks

期刊介绍： INFORMATICS IN EDUCATION publishes original articles about theoretical, experimental and methodological studies in the fields of informatics (computer science) education and educational applications of information technology, ranging from primary to tertiary education. Multidisciplinary research studies that enhance our understanding of how theoretical and technological innovations translate into educational practice are most welcome. We are particularly interested in work at boundaries, both the boundaries of informatics and of education. The topics covered by INFORMATICS IN EDUCATION will range across diverse aspects of informatics (computer science) education research including: empirical studies, including composing different approaches to teach various subjects, studying availability of various concepts at a given age, measuring knowledge transfer and skills developed, addressing gender issues, etc. statistical research on big data related to informatics (computer science) activities including e.g. research on assessment, online teaching, competitions, etc. educational engineering focusing mainly on developing high quality original teaching sequences of different informatics (computer science) topics that offer new, successful ways for knowledge transfer and development of computational thinking machine learning of student''s behavior including the use of information technology to observe students in the learning process and discovering clusters of their working design and evaluation of educational tools that apply information technology in novel ways.