立体几何学中图形构造造型的图形文化

IF 0.2 Q4 EDUCATION & EDUCATIONAL RESEARCH Mathematics and Informatics Pub Date : 2023-06-30 DOI:10.53656/math2023-3-6-gra
Ivan G. Lenchuk, Alla Prus
{"title":"立体几何学中图形构造造型的图形文化","authors":"Ivan G. Lenchuk, Alla Prus","doi":"10.53656/math2023-3-6-gra","DOIUrl":null,"url":null,"abstract":"Two approaches for drawing of stereometric objects by a constructive method are presented using algorithms designed to help solve problems in the construction of correct, visual and easy-to-draw drawings. The first approach is based on operations borrowed from engineer drawing, where standardized axonometric projections guarantee the quality of drawings. The second one is based on the experience of many generations of teachers and practitioners. A list of methodological advice has been proposed. The analytical method of reasoning in computational problems is promoted, the method of combining with the image plane is established, which visualizes the way to the result, adds empiricism to the discipline. The presented statistical survey among mathematics teachers demonstrates their attitude to the constructive solution of stereometric problems. The advantages and disadvantages of teaching constructivism methods are highlighted. It has been established that the skills of qualitative drawings contribute to the formation of life competencies of pupils.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"GRAPHIC CULTURE OF CONSTRUCTIVE MODELING OF FIGURES IN METRIC STEREOMETRY\",\"authors\":\"Ivan G. Lenchuk, Alla Prus\",\"doi\":\"10.53656/math2023-3-6-gra\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Two approaches for drawing of stereometric objects by a constructive method are presented using algorithms designed to help solve problems in the construction of correct, visual and easy-to-draw drawings. The first approach is based on operations borrowed from engineer drawing, where standardized axonometric projections guarantee the quality of drawings. The second one is based on the experience of many generations of teachers and practitioners. A list of methodological advice has been proposed. The analytical method of reasoning in computational problems is promoted, the method of combining with the image plane is established, which visualizes the way to the result, adds empiricism to the discipline. The presented statistical survey among mathematics teachers demonstrates their attitude to the constructive solution of stereometric problems. The advantages and disadvantages of teaching constructivism methods are highlighted. It has been established that the skills of qualitative drawings contribute to the formation of life competencies of pupils.\",\"PeriodicalId\":41818,\"journal\":{\"name\":\"Mathematics and Informatics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53656/math2023-3-6-gra\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"EDUCATION & EDUCATIONAL RESEARCH\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53656/math2023-3-6-gra","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
引用次数: 0

摘要

提出了用构造法绘制立体物体的两种方法,这些方法使用的算法旨在帮助解决绘制正确、直观和易于绘制的图形的问题。第一种方法是基于工程师图纸的操作,其中标准化的轴测投影保证了图纸的质量。第二个是基于几代教师和实践者的经验。提出了一份方法建议清单。推广了计算问题的解析推理方法,建立了与图像平面相结合的方法,使结果的路径可视化,增加了学科的经验性。通过对数学教师的统计调查,可以看出教师对立体问题建设性解的态度。强调了建构主义教学方法的优缺点。它已经确定,定性绘图的技能有助于学生的生活能力的形成。
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
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
GRAPHIC CULTURE OF CONSTRUCTIVE MODELING OF FIGURES IN METRIC STEREOMETRY
Two approaches for drawing of stereometric objects by a constructive method are presented using algorithms designed to help solve problems in the construction of correct, visual and easy-to-draw drawings. The first approach is based on operations borrowed from engineer drawing, where standardized axonometric projections guarantee the quality of drawings. The second one is based on the experience of many generations of teachers and practitioners. A list of methodological advice has been proposed. The analytical method of reasoning in computational problems is promoted, the method of combining with the image plane is established, which visualizes the way to the result, adds empiricism to the discipline. The presented statistical survey among mathematics teachers demonstrates their attitude to the constructive solution of stereometric problems. The advantages and disadvantages of teaching constructivism methods are highlighted. It has been established that the skills of qualitative drawings contribute to the formation of life competencies of pupils.
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
Mathematics and Informatics
Mathematics and Informatics EDUCATION & EDUCATIONAL RESEARCH-
自引率
50.00%
发文量
40
期刊最新文献
FLIPPED CLASSROOM AND TRADITIONAL METHOD IN TEACHING MATHEMATICS IN BULGARIAN SCHOOL DATA STRUCTURE KNOWLEDGE MANAGEMENT THROUGH BLENDED LEARNING OVERVIEW AND DEVELOPMENT IN THE PROFESSIONAL INTERESTS OF GRADUATE STUDENTS USING SENSORS TO DETECT AND ANALYZE STUDENTS’ ATTENTION DURING ROAD SAFETY TRAINING IN PRIMARY SCHOOL AN APPLICATION OF ELEMENTS OF THE QUADRILATERAL’S GEOMETRY FOR SOLVING NON-STANDARD PROBLEMS
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1