约翰内斯·海姆斯列夫-数学家和数学教育家

IF 0.4 3区 哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE
Horst Struve , Rolf Struve
{"title":"约翰内斯·海姆斯列夫-数学家和数学教育家","authors":"Horst Struve ,&nbsp;Rolf Struve","doi":"10.1016/j.hm.2025.08.002","DOIUrl":null,"url":null,"abstract":"<div><div>Johannes Hjelmslev (1873 - 1950) was a renowned Danish mathematician and one of the most remarkable mathematicians of his time. A special feature is that he was active in two fields, mathematics (the foundations of geometry) and the didactics of mathematics (the didactics of geometry). He not only contributed original and fruitful ideas to both areas, but also had a significant impact on the concept of mathematics and school mathematics until the present day. While historical appraisals have already been published on individual topics of his research work - for example on his so-called geometry of reality (<span><span>Lützen, 2021</span></span>) - a summarizing presentation and appraisal of his work in both fields in a historical context is still lacking. This is the aim of this article, which, incidentally, is a response on the less appreciative assessment of Hjelmslev's achievements and his geometry of reality by <span><span>Lützen (2021)</span></span>.</div></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"72 ","pages":"Pages 73-91"},"PeriodicalIF":0.4000,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Johannes Hjelmslev – mathematician and mathematics educator\",\"authors\":\"Horst Struve ,&nbsp;Rolf Struve\",\"doi\":\"10.1016/j.hm.2025.08.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Johannes Hjelmslev (1873 - 1950) was a renowned Danish mathematician and one of the most remarkable mathematicians of his time. A special feature is that he was active in two fields, mathematics (the foundations of geometry) and the didactics of mathematics (the didactics of geometry). He not only contributed original and fruitful ideas to both areas, but also had a significant impact on the concept of mathematics and school mathematics until the present day. While historical appraisals have already been published on individual topics of his research work - for example on his so-called geometry of reality (<span><span>Lützen, 2021</span></span>) - a summarizing presentation and appraisal of his work in both fields in a historical context is still lacking. This is the aim of this article, which, incidentally, is a response on the less appreciative assessment of Hjelmslev's achievements and his geometry of reality by <span><span>Lützen (2021)</span></span>.</div></div>\",\"PeriodicalId\":51061,\"journal\":{\"name\":\"Historia Mathematica\",\"volume\":\"72 \",\"pages\":\"Pages 73-91\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2025-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Historia Mathematica\",\"FirstCategoryId\":\"98\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0315086025000485\",\"RegionNum\":3,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"HISTORY & PHILOSOPHY OF SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Historia Mathematica","FirstCategoryId":"98","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0315086025000485","RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}
引用次数: 0

摘要

Johannes Hjelmslev(1873 - 1950)是一位著名的丹麦数学家,也是他那个时代最杰出的数学家之一。他的一个特点是活跃于数学(几何基础)和数学教学法(几何教学法)两个领域。他不仅在这两个领域贡献了原创性和富有成果的思想,而且对数学和学校数学的概念产生了重大影响,直到今天。虽然对他的研究工作的个别主题已经发表了历史评价-例如他所谓的现实几何(l tzen, 2021) -在历史背景下对他在这两个领域的工作的总结和评价仍然缺乏。这是本文的目的,顺便说一句,这是对岑(2021)对海姆斯列夫的成就和他的现实几何的不太赞赏的评价的回应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Johannes Hjelmslev – mathematician and mathematics educator
Johannes Hjelmslev (1873 - 1950) was a renowned Danish mathematician and one of the most remarkable mathematicians of his time. A special feature is that he was active in two fields, mathematics (the foundations of geometry) and the didactics of mathematics (the didactics of geometry). He not only contributed original and fruitful ideas to both areas, but also had a significant impact on the concept of mathematics and school mathematics until the present day. While historical appraisals have already been published on individual topics of his research work - for example on his so-called geometry of reality (Lützen, 2021) - a summarizing presentation and appraisal of his work in both fields in a historical context is still lacking. This is the aim of this article, which, incidentally, is a response on the less appreciative assessment of Hjelmslev's achievements and his geometry of reality by Lützen (2021).
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
Historia Mathematica
Historia Mathematica 数学-科学史与科学哲学
CiteScore
1.10
自引率
0.00%
发文量
29
审稿时长
72 days
期刊介绍: Historia Mathematica publishes historical scholarship on mathematics and its development in all cultures and time periods. In particular, the journal encourages informed studies on mathematicians and their work in historical context, on the histories of institutions and organizations supportive of the mathematical endeavor, on historiographical topics in the history of mathematics, and on the interrelations between mathematical ideas, science, and the broader culture.
×
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
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信