{"title":"约翰内斯·海姆斯列夫-数学家和数学教育家","authors":"Horst Struve , 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 , 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。
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).
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.