{"title":"A Framework for Investigating Qualities of Procedural and Conceptual Knowledge in Mathematics—An Inferentialist Perspective","authors":"P. Nilsson","doi":"10.5951/JRESEMATHEDUC-2020-0167","DOIUrl":"https://doi.org/10.5951/JRESEMATHEDUC-2020-0167","url":null,"abstract":"This study introduces inferentialism and, particularly, the Game of Giving and Asking for Reasons (GoGAR), as a new theoretical perspective for investigating qualities of procedural and conceptual ...","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42465276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"What Does It Mean to Be a Research Journal Editor?","authors":"Jinfa Cai","doi":"10.5951/jresematheduc-2020-0166","DOIUrl":"https://doi.org/10.5951/jresematheduc-2020-0166","url":null,"abstract":"","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49118570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jinfa Cai, Anne K. Morris, Charles Hohensee, Stephen Hwang, Victoria Robison, M. Cirillo, S. Kramer, J. Hiebert
{"title":"Improving the Impact of Research on Practice: Capitalizing on Technological Advances for Research","authors":"Jinfa Cai, Anne K. Morris, Charles Hohensee, Stephen Hwang, Victoria Robison, M. Cirillo, S. Kramer, J. Hiebert","doi":"10.5951/jresematheduc-2020-0165","DOIUrl":"https://doi.org/10.5951/jresematheduc-2020-0165","url":null,"abstract":"","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43774698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Index","authors":"","doi":"10.5951/jresematheduc-2020-0001","DOIUrl":"https://doi.org/10.5951/jresematheduc-2020-0001","url":null,"abstract":"","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48391169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Subject Matter Knowledge of Geometry Needed in Tasks of Teaching: Relationship to Prior Geometry Teaching Experience","authors":"Inah Ko, P. Herbst","doi":"10.5951/JRESEMATHEDUC-2020-0163","DOIUrl":"https://doi.org/10.5951/JRESEMATHEDUC-2020-0163","url":null,"abstract":"This study proposes task of teaching as an organizer of dimensionality in teachers’ subject matter knowledge for teaching (SMK) and investigates it in the context of measuring SMK for teaching high school geometry (SMK-G). We hypothesize that teachers use different SMK-G in different aspects of their teaching work and that such differences can be scaled and associated with key elements of instruction. Analyses of 602 high school teachers’ responses to two sets of items designed to measure the SMK-G used in two particular tasks of teaching—understanding students’ work (USW) and choosing givens for a problem (CGP)—suggested the two scales of SMK-G to be distinguishable and differently related to experience in teaching high school geometry.","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42963621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Manifestations of Middle School Learners’ Problematization Activity as an Embodied Phenomenon","authors":"K. Valentine, J. Theodore","doi":"10.5951/jresematheduc-2020-0162","DOIUrl":"https://doi.org/10.5951/jresematheduc-2020-0162","url":null,"abstract":"Current reforms in geometry seek to challenge prevailing ideas about “what it means to do mathematics” (Stephan et al., 2015, p. 139) by engaging learners in “the grasping of space” (Freudenthal, 1973; Hansen et al., 1998, p. 241). This study takes up this challenge by investigating problematizing activity as an embodied phenomenon among 21 eighth-grade learners who engaged with spatial and dimensional concepts during a series of investigations around Flatland. Using a phenomenological research approach, we examined classroom discourse as well as learners’ blog postings, lived-experience descriptions, and interviews. The analysis revealed three manifestations of problematizing activity—provocation, impasse, and questioning and conjecturing activity. Embodiment was evidenced through perceptuo-motor-imaginary activity as learners juxtaposed naturally continuous space with discrete notions of space emphasized in K−12 settings.","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44808052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"2013–2016: Reflections on Perceptions of JRME","authors":"C. Langrall","doi":"10.5951/jresematheduc-2020-0172","DOIUrl":"https://doi.org/10.5951/jresematheduc-2020-0172","url":null,"abstract":"","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47748652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Young Students’ Functional Thinking Modes: The Relation Between Recursive Patterning, Covariational Thinking, and Correspondence Relations","authors":"M. Pittalis, D. Pitta-Pantazi, C. Christou","doi":"10.5951/jresematheduc-2020-0164","DOIUrl":"https://doi.org/10.5951/jresematheduc-2020-0164","url":null,"abstract":"A theoretical model describing young students’ (Grades 1–3) functional-thinking modes was formulated and validated empirically (n = 345), hypothesizing that young students’ functional-thinking modes consist of recursive patterning, covariational thinking, correspondence-particular, and correspondence-general factors. Data analysis suggested that functional-thinking tasks can be categorized on the basis of the proposed model. Analysis traced three categories of students that represent different functional-thinking profiles. Category 1 students exhibited a recursive-thinking profile. Category 2 students utilized a combination of recursive and contextual strategies and exhibited an emergent covariational and correspondence-particular thinking. Category 3 students approached functional-thinking situations flexibly, using a combination of covariational and correspondence strategies. A structural model showed two parallel paths from recursive patterning to correspondence-general through correspondence-particular or covariational.","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45635457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jhon Herminson Arias-Rueda, César Augusto Arias-Rueda, María judith Arias-rueda
{"title":"Representaciones sobre el concepto de función en estudiantes de primer nivel de ingeniería","authors":"Jhon Herminson Arias-Rueda, César Augusto Arias-Rueda, María judith Arias-rueda","doi":"10.17583/REDIMAT.2020.4549","DOIUrl":"https://doi.org/10.17583/REDIMAT.2020.4549","url":null,"abstract":"Este articulo pretende divulgar los resultados de una investigacion cuyo objetivo fue determinar las representaciones que tienen los estudiantes sobre el concepto de funcion. Para ello, se utilizaron los aportes teoricos de las representaciones mentales de Johnson-Laird. La metodologia de la investigacion estuvo enmarcada bajo un diseno no-experimental con un enfoque cuantitativo-descriptivo desarrollado en tres fases: formativa, evaluativa de recoleccion de informacion e interpretativa. El estudio se aplico sobre una muestra de 84 estudiantes que representaban el 80% de la poblacion que cursaba el primer nivel de ingenieria de la Universidad Politecnica Salesiana del Ecuador. Los resultados de la investigacion mostraron que las representaciones mentales asociadas al concepto de funcion matematica estan presentes en un alto porcentaje de estudiantes, siendo la representacion proposicional la mas utilizada, aun cuando un porcentaje significativo la usa con errores. Como conclusion pudo interpretarse que existen falencias en los procesos de ensenanza-aprendizaje ya que muy pocos estudiantes lograron construir modelos mentales de manera eficiente.","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45947052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Comparison of prospective mathematics teachers’ problem posing abilities in paper-pencil test and on dynamic geometry environment in terms of creativity","authors":"M. Öçal, Tuğrul Kar, Gürsel Güler, A. Ipek","doi":"10.17583/REDIMAT.2020.3879","DOIUrl":"https://doi.org/10.17583/REDIMAT.2020.3879","url":null,"abstract":"This study aims to investigate the similarities and differences between prospective mathematics teachers’ creative thinking skills in paper-pencil test and on a Geogebra-supported environment in terms of problem-posing. This case study used purposive sampling method for determining the participants. Findings revealed that the activities carried out in the GeoGebra-supported environment were insufficient to produce creative problems, and GeoGebra’s main utility to prospective teachers was in identifying their mistakes related to mathematical concepts and discrepancies among numerical values of the problems posed. The reasons for the low achievement in posing problem were discussed: These were; (i) lack of problem-posing experience, (ii) the structure of problem-posing activity, and (iii) prospective teachers’ mathematical content knowledge.","PeriodicalId":48084,"journal":{"name":"Journal for Research in Mathematics Education","volume":null,"pages":null},"PeriodicalIF":2.8,"publicationDate":"2020-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67643105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}