{"title":"学生在解决相关费率问题时报告的困难的定量推理研究","authors":"T. Mkhatshwa","doi":"10.51272/PMENA.42.2020-149","DOIUrl":null,"url":null,"abstract":"This paper extends work in the area of quantitative reasoning at the undergraduate level. Task-based interviews were used to examine 16 calculus students’ difficulties when solving three related rates problems. Analysis of students’ verbal responses and written work revealed several difficulties, including dealing with several time-dependent quantities. The paper concludes with a recommendation for the teaching of related rates problems at the undergraduate level.","PeriodicalId":68089,"journal":{"name":"数学教学通讯","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A quantitative reasoning study of student-reported difficulties when solving related rates problems\",\"authors\":\"T. Mkhatshwa\",\"doi\":\"10.51272/PMENA.42.2020-149\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper extends work in the area of quantitative reasoning at the undergraduate level. Task-based interviews were used to examine 16 calculus students’ difficulties when solving three related rates problems. Analysis of students’ verbal responses and written work revealed several difficulties, including dealing with several time-dependent quantities. The paper concludes with a recommendation for the teaching of related rates problems at the undergraduate level.\",\"PeriodicalId\":68089,\"journal\":{\"name\":\"数学教学通讯\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"数学教学通讯\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.51272/PMENA.42.2020-149\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"数学教学通讯","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.51272/PMENA.42.2020-149","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A quantitative reasoning study of student-reported difficulties when solving related rates problems
This paper extends work in the area of quantitative reasoning at the undergraduate level. Task-based interviews were used to examine 16 calculus students’ difficulties when solving three related rates problems. Analysis of students’ verbal responses and written work revealed several difficulties, including dealing with several time-dependent quantities. The paper concludes with a recommendation for the teaching of related rates problems at the undergraduate level.
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