{"title":"Third grade students’ multimodal mathematical reasoning when collaboratively solving combinatorial problems in small groups","authors":"Unni Wathne, M. Carlsen","doi":"10.1080/10986065.2022.2099611","DOIUrl":"https://doi.org/10.1080/10986065.2022.2099611","url":null,"abstract":"","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49145845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Elements of instruction that motivate students with learning disabilities to learn fractions","authors":"K. Newton, Amanda Jansen, Peter Puleo","doi":"10.1080/10986065.2022.2087141","DOIUrl":"https://doi.org/10.1080/10986065.2022.2087141","url":null,"abstract":"","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48820392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Secondary mathematics teachers’ use of students’ incorrect answers in supporting collective argumentation","authors":"Yuling Zhuang, AnnaMarie Conner","doi":"10.1080/10986065.2022.2067932","DOIUrl":"https://doi.org/10.1080/10986065.2022.2067932","url":null,"abstract":"<p><b>ABSTRACT</b></p><p>This study illustrates how two secondary mathematics teachers used students’ incorrect answers as they supported students’ engagement in collective argumentation. Three ways of supporting argumentation when students contributed incorrect answers are exemplified, and the structures of these arguments are investigated. Then, by focusing on the correctness of argument components as represented by the diagrams, we developed a potential model of levels of validity in classroom-based argumentation. The model may help the field to identify fine-grained conditions of validity within episodes of collective argumentation. The findings of this study provide insight into how teachers can manage or capitalize on incorrect parts of an argument when they attempt to support classroom-based argumentation as part of a long-term teaching intervention.</p>","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":"28 39","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138518278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Sequencing & selecting solutions in a gendered world","authors":"Laurie H. Rubel, M. Ayalon, J. A. Shahbari","doi":"10.1080/10986065.2022.2062641","DOIUrl":"https://doi.org/10.1080/10986065.2022.2062641","url":null,"abstract":"","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47304767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The complexity of supporting reasoning in a mathematics classroom of shared authority","authors":"K. Arnesen, Kirsti Rø","doi":"10.1080/10986065.2022.2059628","DOIUrl":"https://doi.org/10.1080/10986065.2022.2059628","url":null,"abstract":"","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43052790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Blanton, A. Gardiner, Ingrid Ristroph, Ana Stephens, E. Knuth, Rena Stroud
{"title":"Progressions in young learners’ understandings of parity arguments","authors":"M. Blanton, A. Gardiner, Ingrid Ristroph, Ana Stephens, E. Knuth, Rena Stroud","doi":"10.1080/10986065.2022.2053775","DOIUrl":"https://doi.org/10.1080/10986065.2022.2053775","url":null,"abstract":"","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41479126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Preschool children’s repeating patterning skills: evidence of their capability from a large scale, naturalistic, Australia wide study","authors":"Kevin Larkin, I. Resnick, Thomas Lowrie","doi":"10.1080/10986065.2022.2056320","DOIUrl":"https://doi.org/10.1080/10986065.2022.2056320","url":null,"abstract":"","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":"1 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41411871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Differences in grade 7 students’ understanding of the equal sign","authors":"L. Sumpter, A. Löwenhielm","doi":"10.1080/10986065.2022.2058160","DOIUrl":"https://doi.org/10.1080/10986065.2022.2058160","url":null,"abstract":"","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42311444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Models and Modelling: The Fine Balance between Mathematics, Practice, and Research","authors":"Michael N. Fried","doi":"10.1080/10986065.2022.2056676","DOIUrl":"https://doi.org/10.1080/10986065.2022.2056676","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":1.6,"publicationDate":"2022-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46683677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Backward transfer, the relationship between new learning and prior ways of reasoning, and action versus process views of linear functions","authors":"Charles Hohensee, Laura Willoughby, S. Gartland","doi":"10.1080/10986065.2022.2037043","DOIUrl":"https://doi.org/10.1080/10986065.2022.2037043","url":null,"abstract":"","PeriodicalId":46800,"journal":{"name":"Mathematical Thinking and Learning","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48619788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}