Mara V. Martinez, Alison Castro-Superfine, Timothy Stoelinga
Our aim is to contribute to the body of research on learning trajectories (LTs) in mathematics by making visible a process for articulating a hypothetical learning trajectory implicit in a widely adopted, reform-based, middle-grades mathematics curriculum. In doing so, we highlight considerations, decisions, and challenges we faced as part of this work. By describing our LT articulation process, our aim is to highlight ways in which curriculum-specific LTs can be articulated to serve as a more proximal and instrumental tool for teachers’ instructional practice. Furthermore, to illustrate we describe how the products of the work were used in practice-based professional learning experiences with middle-grades mathematics teachers.
{"title":"A Curriculum-Based Approach to Learning Trajectories in Middle School Algebra","authors":"Mara V. Martinez, Alison Castro-Superfine, Timothy Stoelinga","doi":"10.17583/redimat.5539","DOIUrl":"https://doi.org/10.17583/redimat.5539","url":null,"abstract":"Our aim is to contribute to the body of research on learning trajectories (LTs) in mathematics by making visible a process for articulating a hypothetical learning trajectory implicit in a widely adopted, reform-based, middle-grades mathematics curriculum. In doing so, we highlight considerations, decisions, and challenges we faced as part of this work. By describing our LT articulation process, our aim is to highlight ways in which curriculum-specific LTs can be articulated to serve as a more proximal and instrumental tool for teachers’ instructional practice. Furthermore, to illustrate we describe how the products of the work were used in practice-based professional learning experiences with middle-grades mathematics teachers.","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91096490","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 : 2022-06-22DOI: 10.1007/s40753-022-00182-z
Mathilde Hitier, Alejandro S. González-Martín
{"title":"Derivatives and the Study of Motion at the Intersection of Calculus and Mechanics: a Praxeological Analysis of Practices at the College Level","authors":"Mathilde Hitier, Alejandro S. González-Martín","doi":"10.1007/s40753-022-00182-z","DOIUrl":"https://doi.org/10.1007/s40753-022-00182-z","url":null,"abstract":"","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89003387","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 : 2022-06-22DOI: 10.1007/s40753-022-00181-0
Olov Viirman, L. Vivier, J. Monaghan
{"title":"The Limit Notion at Three Educational Levels in Three Countries","authors":"Olov Viirman, L. Vivier, J. Monaghan","doi":"10.1007/s40753-022-00181-0","DOIUrl":"https://doi.org/10.1007/s40753-022-00181-0","url":null,"abstract":"","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79101286","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 : 2022-06-16DOI: 10.1007/s40753-022-00174-z
Kaitlyn Stephens Serbin, M. Wawro
{"title":"The Inextricability of Students’ Mathematical and Physical Reasoning in Quantum Mechanics Problems","authors":"Kaitlyn Stephens Serbin, M. Wawro","doi":"10.1007/s40753-022-00174-z","DOIUrl":"https://doi.org/10.1007/s40753-022-00174-z","url":null,"abstract":"","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88935229","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 : 2022-06-11DOI: 10.1007/s40753-022-00183-y
Irene Biza, Alejandro S. González-Martín, Alon Pinto
{"title":"Calculus at the intersection of institutions, disciplines and communities: a special issue Guest Editorial","authors":"Irene Biza, Alejandro S. González-Martín, Alon Pinto","doi":"10.1007/s40753-022-00183-y","DOIUrl":"https://doi.org/10.1007/s40753-022-00183-y","url":null,"abstract":"","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77048886","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 : 2022-06-10DOI: 10.1007/s40753-022-00184-x
Rachel Tremaine, J. Hagman, Matthew Voigt, Stephanie Damas, J. Gehrtz
{"title":"You Don’t Want to Come Into a Broken System: Perspectives for Increasing Diversity in STEM Among Undergraduate Calculus Program Stakeholders","authors":"Rachel Tremaine, J. Hagman, Matthew Voigt, Stephanie Damas, J. Gehrtz","doi":"10.1007/s40753-022-00184-x","DOIUrl":"https://doi.org/10.1007/s40753-022-00184-x","url":null,"abstract":"","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73243354","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 : 2022-06-10DOI: 10.1007/s40753-022-00179-8
M. Bašić, Ž. Milin Šipuš
{"title":"Geometrical Reasoning in the Teaching and Learning of Integrals of Multivariable Functions","authors":"M. Bašić, Ž. Milin Šipuš","doi":"10.1007/s40753-022-00179-8","DOIUrl":"https://doi.org/10.1007/s40753-022-00179-8","url":null,"abstract":"","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88995412","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 : 2022-06-10DOI: 10.1007/s40753-022-00177-w
Luis A. Leyva, Kristen Amman, Emily A. Wolf McMichael, Joanne Igbinosun, Nisha Khan
{"title":"Support for All? Confronting Racism and Patriarchy to Promote Equitable Learning Opportunities through Undergraduate Calculus Instruction","authors":"Luis A. Leyva, Kristen Amman, Emily A. Wolf McMichael, Joanne Igbinosun, Nisha Khan","doi":"10.1007/s40753-022-00177-w","DOIUrl":"https://doi.org/10.1007/s40753-022-00177-w","url":null,"abstract":"","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82235719","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 : 2022-06-07DOI: 10.1007/s40753-022-00178-9
Rachel L. Rupnow, Brooke Randazzo, Eric Johnson, Peter Sassman
{"title":"Sameness in Mathematics: a Unifying and Dividing Concept","authors":"Rachel L. Rupnow, Brooke Randazzo, Eric Johnson, Peter Sassman","doi":"10.1007/s40753-022-00178-9","DOIUrl":"https://doi.org/10.1007/s40753-022-00178-9","url":null,"abstract":"","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77011712","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 : 2022-06-03DOI: 10.1007/s40753-022-00176-x
Alison S. Marzocchi, Roberto C. Soto
{"title":"From the Front lines of active learning: Lessons learned from those who are trying","authors":"Alison S. Marzocchi, Roberto C. Soto","doi":"10.1007/s40753-022-00176-x","DOIUrl":"https://doi.org/10.1007/s40753-022-00176-x","url":null,"abstract":"","PeriodicalId":42532,"journal":{"name":"International Journal of Research in Undergraduate Mathematics Education","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76307158","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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