{"title":"模型和建模:数学、实践和研究之间的微妙平衡","authors":"Michael N. Fried","doi":"10.1080/10986065.2022.2056676","DOIUrl":null,"url":null,"abstract":"The word “modeling” is key (in developing mathematical concepts in the contexts in which they are actually used). Real problems do not come at the end of chapters. Real problems do not look like mathematical problems. Real problems are messy. Real problems ask questions such as: How do we create computer animation? How do we effectively control an animal population? What is the best location of a fire station? What do we mean by “best”? (From Solomon Garfunkel’s introduction to Mathematics Modeling Our World (COMAP, 1998) as cited in Niss and Blum, pp. 184–5).","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":"24 1","pages":"176 - 180"},"PeriodicalIF":2.0000,"publicationDate":"2022-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Models and Modelling: The Fine Balance between Mathematics, Practice, and Research\",\"authors\":\"Michael N. Fried\",\"doi\":\"10.1080/10986065.2022.2056676\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The word “modeling” is key (in developing mathematical concepts in the contexts in which they are actually used). Real problems do not come at the end of chapters. Real problems do not look like mathematical problems. Real problems are messy. Real problems ask questions such as: How do we create computer animation? How do we effectively control an animal population? What is the best location of a fire station? What do we mean by “best”? (From Solomon Garfunkel’s introduction to Mathematics Modeling Our World (COMAP, 1998) as cited in Niss and Blum, pp. 184–5).\",\"PeriodicalId\":46800,\"journal\":{\"name\":\"Mathematical Thinking and Learning\",\"volume\":\"24 1\",\"pages\":\"176 - 180\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2022-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Thinking and Learning\",\"FirstCategoryId\":\"95\",\"ListUrlMain\":\"https://doi.org/10.1080/10986065.2022.2056676\",\"RegionNum\":4,\"RegionCategory\":\"教育学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"EDUCATION & EDUCATIONAL RESEARCH\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Thinking and Learning","FirstCategoryId":"95","ListUrlMain":"https://doi.org/10.1080/10986065.2022.2056676","RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
Models and Modelling: The Fine Balance between Mathematics, Practice, and Research
The word “modeling” is key (in developing mathematical concepts in the contexts in which they are actually used). Real problems do not come at the end of chapters. Real problems do not look like mathematical problems. Real problems are messy. Real problems ask questions such as: How do we create computer animation? How do we effectively control an animal population? What is the best location of a fire station? What do we mean by “best”? (From Solomon Garfunkel’s introduction to Mathematics Modeling Our World (COMAP, 1998) as cited in Niss and Blum, pp. 184–5).