{"title":"Children’s Counting in Arithmetical Problem Solving","authors":"P. Thompson, L. Steffe, J. Richards","doi":"10.1201/9781003046585-7","DOIUrl":"https://doi.org/10.1201/9781003046585-7","url":null,"abstract":"","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125101090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Analysis of the Counting-On Solution Procedure in Addition","authors":"K. Fuson","doi":"10.1201/9781003046585-6","DOIUrl":"https://doi.org/10.1201/9781003046585-6","url":null,"abstract":"","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121407708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Development of Addition and Subtraction Problem-Solving Skills","authors":"T. P. Carpenter, J. Moser","doi":"10.1201/9781003046585-2","DOIUrl":"https://doi.org/10.1201/9781003046585-2","url":null,"abstract":"","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133519501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-12DOI: 10.1201/9781003046585-14
H. Ginsburg
{"title":"The Development of Addition in the Contexts of Culture, Social Class, and Race","authors":"H. Ginsburg","doi":"10.1201/9781003046585-14","DOIUrl":"https://doi.org/10.1201/9781003046585-14","url":null,"abstract":"","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134481444","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Towards a Generative Theory of “Bugs”","authors":"J. Brown, Kurt van Lehn","doi":"10.1201/9781003046585-9","DOIUrl":"https://doi.org/10.1201/9781003046585-9","url":null,"abstract":"","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"200 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116703715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-12DOI: 10.1201/9781003046585-12
K. Collis
{"title":"The Structure of Learned Outcomes: A Refocusing for Mathematics Learning","authors":"K. Collis","doi":"10.1201/9781003046585-12","DOIUrl":"https://doi.org/10.1201/9781003046585-12","url":null,"abstract":"","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132046286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-12DOI: 10.1201/9781003046585-10
L. Resnick
{"title":"Syntax and Semantics in Learning to Subtract","authors":"L. Resnick","doi":"10.1201/9781003046585-10","DOIUrl":"https://doi.org/10.1201/9781003046585-10","url":null,"abstract":"","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126033110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Classification of Cognitive Tasks and Operations of Thought Involved in Addition and Subtraction Problems","authors":"G. Vergnaud","doi":"10.1201/9781003046585-4","DOIUrl":"https://doi.org/10.1201/9781003046585-4","url":null,"abstract":"","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130276395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-12DOI: 10.1201/9781003046585-15
G. Hatano
{"title":"Learning to Add and Subtract: A Japanese Perspective","authors":"G. Hatano","doi":"10.1201/9781003046585-15","DOIUrl":"https://doi.org/10.1201/9781003046585-15","url":null,"abstract":"","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125394332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This chapter is presented in two principal sections. The first section emphasizes an all-too-frequently neglected interpretation of number operations that, I believe, has considerable import for the future research and instructional programs detailed in the second section. Although this first section is relatively unsophisticated, it goes well beyond the initial learning of addition and subtraction skills.
{"title":"Interpretations of Number Operations and Symbolic Representations of Addition and Subtraction","authors":"J. Weaver","doi":"10.1201/9781003046585-5","DOIUrl":"https://doi.org/10.1201/9781003046585-5","url":null,"abstract":"This chapter is presented in two principal sections. The first section emphasizes an all-too-frequently neglected interpretation of number operations that, I believe, has considerable import for the future research and instructional programs detailed in the second section. Although this first section is relatively unsophisticated, it goes well beyond the initial learning of addition and subtraction skills.","PeriodicalId":315049,"journal":{"name":"Addition and Subtraction","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125220754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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