{"title":"数学家对同构和同态的概念化:关于背景、对比和效用的故事","authors":"Rachel Rupnow, Brooke Randazzo","doi":"10.1080/14794802.2024.2320870","DOIUrl":null,"url":null,"abstract":"Isomorphism and homomorphism are fundamental topics in abstract algebra, but how mathematicians characterise the utility of these concepts remains understudied. Based on interviews with nine resear...","PeriodicalId":45396,"journal":{"name":"Research in Mathematics Education","volume":"152 1","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematicians’ conceptualisations of isomorphism and homomorphism: a story of contexts, contrasts, and utility\",\"authors\":\"Rachel Rupnow, Brooke Randazzo\",\"doi\":\"10.1080/14794802.2024.2320870\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Isomorphism and homomorphism are fundamental topics in abstract algebra, but how mathematicians characterise the utility of these concepts remains understudied. Based on interviews with nine resear...\",\"PeriodicalId\":45396,\"journal\":{\"name\":\"Research in Mathematics Education\",\"volume\":\"152 1\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Research in Mathematics Education\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/14794802.2024.2320870\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"EDUCATION & EDUCATIONAL RESEARCH\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Research in Mathematics Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/14794802.2024.2320870","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
Mathematicians’ conceptualisations of isomorphism and homomorphism: a story of contexts, contrasts, and utility
Isomorphism and homomorphism are fundamental topics in abstract algebra, but how mathematicians characterise the utility of these concepts remains understudied. Based on interviews with nine resear...