{"title":"职前数学教师如何分析和回应学生在使用树形图解决概率问题时的错误?","authors":"Shengqing He","doi":"10.1016/j.tate.2025.105250","DOIUrl":null,"url":null,"abstract":"<div><div>This case study examined the knowledge of preservice mathematics teachers (PMTs) in analyzing and responding to student errors. Participants were 41 master's level PMTs who had completed foundational mathematics education courses. They evaluated hypothetical student work solving a compound probability problem using a tree diagram. Through fine-grained qualitative analysis of written responses, researchers found PMTs proficiently identified and interpreted errors, employing both “show-tell” and “give-ask” response strategies. Key weaknesses included over-emphasis on procedures, low active utilization of errors, and communication barriers. The study highlights implications for enhancing PMTs' error-handling skills in teacher education and improving probability teaching.</div></div>","PeriodicalId":48430,"journal":{"name":"Teaching and Teacher Education","volume":"168 ","pages":"Article 105250"},"PeriodicalIF":3.9000,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"How do preservice mathematics teachers analyze and respond to student errors in solving probability problems using tree diagrams?\",\"authors\":\"Shengqing He\",\"doi\":\"10.1016/j.tate.2025.105250\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This case study examined the knowledge of preservice mathematics teachers (PMTs) in analyzing and responding to student errors. Participants were 41 master's level PMTs who had completed foundational mathematics education courses. They evaluated hypothetical student work solving a compound probability problem using a tree diagram. Through fine-grained qualitative analysis of written responses, researchers found PMTs proficiently identified and interpreted errors, employing both “show-tell” and “give-ask” response strategies. Key weaknesses included over-emphasis on procedures, low active utilization of errors, and communication barriers. The study highlights implications for enhancing PMTs' error-handling skills in teacher education and improving probability teaching.</div></div>\",\"PeriodicalId\":48430,\"journal\":{\"name\":\"Teaching and Teacher Education\",\"volume\":\"168 \",\"pages\":\"Article 105250\"},\"PeriodicalIF\":3.9000,\"publicationDate\":\"2025-10-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Teaching and Teacher Education\",\"FirstCategoryId\":\"95\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0742051X25003270\",\"RegionNum\":1,\"RegionCategory\":\"教育学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"EDUCATION & EDUCATIONAL RESEARCH\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Teaching and Teacher Education","FirstCategoryId":"95","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0742051X25003270","RegionNum":1,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"EDUCATION & EDUCATIONAL RESEARCH","Score":null,"Total":0}
How do preservice mathematics teachers analyze and respond to student errors in solving probability problems using tree diagrams?
This case study examined the knowledge of preservice mathematics teachers (PMTs) in analyzing and responding to student errors. Participants were 41 master's level PMTs who had completed foundational mathematics education courses. They evaluated hypothetical student work solving a compound probability problem using a tree diagram. Through fine-grained qualitative analysis of written responses, researchers found PMTs proficiently identified and interpreted errors, employing both “show-tell” and “give-ask” response strategies. Key weaknesses included over-emphasis on procedures, low active utilization of errors, and communication barriers. The study highlights implications for enhancing PMTs' error-handling skills in teacher education and improving probability teaching.
期刊介绍:
Teaching and Teacher Education is an international journal concerned primarily with teachers, teaching, and/or teacher education situated in an international perspective and context. The journal focuses on early childhood through high school (secondary education), teacher preparation, along with higher education concerning teacher professional development and/or teacher education. Teaching and Teacher Education is a multidisciplinary journal committed to no single approach, discipline, methodology, or paradigm. The journal welcomes varied approaches (qualitative, quantitative, and mixed methods) to empirical research; also publishing high quality systematic reviews and meta-analyses. Manuscripts should enhance, build upon, and/or extend the boundaries of theory, research, and/or practice in teaching and teacher education. Teaching and Teacher Education does not publish unsolicited Book Reviews.