Pub Date : 2023-09-20DOI: 10.1007/s10649-023-10263-8
Nickolaus Alexander Ortiz
{"title":"Lessons in paradise: envisioning a Black liberatory mathematics education","authors":"Nickolaus Alexander Ortiz","doi":"10.1007/s10649-023-10263-8","DOIUrl":"https://doi.org/10.1007/s10649-023-10263-8","url":null,"abstract":"","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136313990","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}
Pub Date : 2023-09-14DOI: 10.1007/s10649-023-10256-7
Jodie Hunter, Roberta Hunter
Abstract As in many countries, for decades in Aotearoa (New Zealand), we have heard the story of the Pacific and Māori achievement gap in mathematics. This has become a widely accepted part of beliefs constructed across multiple communities about students and schools and who can do and learn mathematics successfully. A common response by policy makers and educators alike is to fix the problem of those deemed academically bleak by putting in place a range of interventions. In this article, we challenge the positioning of Pacific students as a problem to be fixed and instead focus on how we can address the practices inherent in historical forms of institutionalised racism related to colonisation. We use an Indigenous research model—Tivaevae—to develop an exemplary case study of the teachers and students from one low socio-economic urban school as they were involved in conscientisation and the reconstitution of educational practices to privilege indigenous knowledge systems. The findings highlight one model of how teachers and students can change institutionalised Western world practices in the mathematics classroom. We argue that the shift to honouring indigenous knowledge systems and a strength-based approach provided opportunities for Pacific students to learn mathematics in ways that supported them to build strong mathematical dispositions, and rather than being assimilated, retain their cultural identity.
{"title":"Weaving together the threads of Indigenous knowledge and mathematics","authors":"Jodie Hunter, Roberta Hunter","doi":"10.1007/s10649-023-10256-7","DOIUrl":"https://doi.org/10.1007/s10649-023-10256-7","url":null,"abstract":"Abstract As in many countries, for decades in Aotearoa (New Zealand), we have heard the story of the Pacific and Māori achievement gap in mathematics. This has become a widely accepted part of beliefs constructed across multiple communities about students and schools and who can do and learn mathematics successfully. A common response by policy makers and educators alike is to fix the problem of those deemed academically bleak by putting in place a range of interventions. In this article, we challenge the positioning of Pacific students as a problem to be fixed and instead focus on how we can address the practices inherent in historical forms of institutionalised racism related to colonisation. We use an Indigenous research model—Tivaevae—to develop an exemplary case study of the teachers and students from one low socio-economic urban school as they were involved in conscientisation and the reconstitution of educational practices to privilege indigenous knowledge systems. The findings highlight one model of how teachers and students can change institutionalised Western world practices in the mathematics classroom. We argue that the shift to honouring indigenous knowledge systems and a strength-based approach provided opportunities for Pacific students to learn mathematics in ways that supported them to build strong mathematical dispositions, and rather than being assimilated, retain their cultural identity.","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134912479","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}
Pub Date : 2023-09-11DOI: 10.1007/s10649-023-10254-9
Ann-Kristin Adleff, Natalie Ross, Johannes König, Gabriele Kaiser
Abstract Tasks play an important role in mathematics education, as they provide opportunities for students to develop their competencies and to cognitively engage with the mathematical content. The potential for cognitive activation as a central feature of a mathematical task has been considered in numerous studies, mostly as a didactical analysis by means of existing classification systems. In this study, which has been carried out in the frame of the TEDS research program, a different approach is taken by which we aim to identify the cognitive demand level of tasks used in ordinary mathematics lessons. Thus, the correlation between general mathematical competencies and the cognitive mathematical activities required to solve the task was analyzed and common properties of groupings of tasks were empirically extracted. In detail, 2490 tasks from mathematics lessons in Germany were analyzed by means of a rational task analysis with regard to their potential for fostering general mathematical competencies, namely modelling, problem solving, reasoning and argumentation, use of representations, use of symbols and operations, and communication. Latent class analysis revealed six classes of mathematical tasks with varying potential for the different competencies. In accordance with previous studies on mathematical tasks in Germany, the biggest class focused solely on the use of symbols and operations, while other classes showed different foci. Post hoc analyses revealed that the classes of tasks differ with regard to the level of cognitive activity they require. The results of the study highlight that the potential for cognitive activation of the tasks used in the classrooms of this more recent study has not improved in the last decades, despite many reform activities in German mathematics education, and that many mathematical tasks used are still more or less calculation oriented.
{"title":"Types of mathematical tasks in lower secondary classrooms in Germany","authors":"Ann-Kristin Adleff, Natalie Ross, Johannes König, Gabriele Kaiser","doi":"10.1007/s10649-023-10254-9","DOIUrl":"https://doi.org/10.1007/s10649-023-10254-9","url":null,"abstract":"Abstract Tasks play an important role in mathematics education, as they provide opportunities for students to develop their competencies and to cognitively engage with the mathematical content. The potential for cognitive activation as a central feature of a mathematical task has been considered in numerous studies, mostly as a didactical analysis by means of existing classification systems. In this study, which has been carried out in the frame of the TEDS research program, a different approach is taken by which we aim to identify the cognitive demand level of tasks used in ordinary mathematics lessons. Thus, the correlation between general mathematical competencies and the cognitive mathematical activities required to solve the task was analyzed and common properties of groupings of tasks were empirically extracted. In detail, 2490 tasks from mathematics lessons in Germany were analyzed by means of a rational task analysis with regard to their potential for fostering general mathematical competencies, namely modelling, problem solving, reasoning and argumentation, use of representations, use of symbols and operations, and communication. Latent class analysis revealed six classes of mathematical tasks with varying potential for the different competencies. In accordance with previous studies on mathematical tasks in Germany, the biggest class focused solely on the use of symbols and operations, while other classes showed different foci. Post hoc analyses revealed that the classes of tasks differ with regard to the level of cognitive activity they require. The results of the study highlight that the potential for cognitive activation of the tasks used in the classrooms of this more recent study has not improved in the last decades, despite many reform activities in German mathematics education, and that many mathematical tasks used are still more or less calculation oriented.","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135982585","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}
Pub Date : 2023-09-09DOI: 10.1007/s10649-023-10259-4
Francesco Beccuti, Paola Valero, Ornella Robutti
Abstract Drawing on autobiographical essays written by master’s students in mathematics preparing to become teachers, we investigate what mathematical identity these students articulate and how. By means of a discursive thematic analysis centered on the notion of ascesis, we show that the participants’ identity revolves around a characterization of mathematics as a challenging, useful, and comforting activity or knowledge, which is however regarded negatively by others. Indeed, mathematics is described as a uniquely challenging activity which requires an increasingly demanding self-discipline. Moreover, mathematics is depicted as a variously useful form of knowledge which is additionally capable to offer comfort to those who engage with it. However, the participants often remark that other people regard mathematics negatively, a fact explained by stressing others’ inability or unwillingness to understand or appreciate mathematics’ inherent positive features. This sets the boundary of an ideal club of math enthusiasts whose elitist membership is regulated in terms of acceptance or refusal of its constitutive values. Belonging to the club as well as proselytizing in order to recruit new members appears to be central to the participants’ mathematical identity.
{"title":"Stories of devoted university students: the mathematical experience as a form of ascesis","authors":"Francesco Beccuti, Paola Valero, Ornella Robutti","doi":"10.1007/s10649-023-10259-4","DOIUrl":"https://doi.org/10.1007/s10649-023-10259-4","url":null,"abstract":"Abstract Drawing on autobiographical essays written by master’s students in mathematics preparing to become teachers, we investigate what mathematical identity these students articulate and how. By means of a discursive thematic analysis centered on the notion of ascesis, we show that the participants’ identity revolves around a characterization of mathematics as a challenging, useful, and comforting activity or knowledge, which is however regarded negatively by others. Indeed, mathematics is described as a uniquely challenging activity which requires an increasingly demanding self-discipline. Moreover, mathematics is depicted as a variously useful form of knowledge which is additionally capable to offer comfort to those who engage with it. However, the participants often remark that other people regard mathematics negatively, a fact explained by stressing others’ inability or unwillingness to understand or appreciate mathematics’ inherent positive features. This sets the boundary of an ideal club of math enthusiasts whose elitist membership is regulated in terms of acceptance or refusal of its constitutive values. Belonging to the club as well as proselytizing in order to recruit new members appears to be central to the participants’ mathematical identity.","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136192393","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}
Pub Date : 2023-09-07DOI: 10.1007/s10649-023-10258-5
Emma C. Gargroetzi
{"title":"“You can’t just check the box”: the mathematics of ethnoracial contortions at a California high school","authors":"Emma C. Gargroetzi","doi":"10.1007/s10649-023-10258-5","DOIUrl":"https://doi.org/10.1007/s10649-023-10258-5","url":null,"abstract":"","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44569354","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":"Study of modeling questions in a first-year university mathematics online course","authors":"Camilo Andrés Ramírez-Sánchez, Avenilde Romo-Vázquez, Rebeca Romo-Vázquez, Diana Velásquez-Rojas","doi":"10.1007/s10649-023-10261-w","DOIUrl":"https://doi.org/10.1007/s10649-023-10261-w","url":null,"abstract":"","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44625388","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}
Pub Date : 2023-08-24DOI: 10.1007/s10649-023-10260-x
Erika C. Bullock
{"title":"Racialized deviance as an axiom in the mathematics education equity genre","authors":"Erika C. Bullock","doi":"10.1007/s10649-023-10260-x","DOIUrl":"https://doi.org/10.1007/s10649-023-10260-x","url":null,"abstract":"","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48176183","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}
Pub Date : 2023-08-17DOI: 10.1007/s10649-023-10252-x
Nava Gilboa, T. Dreyfus, Ivy Kidron
{"title":"Meta-mathematical aspects of definitions","authors":"Nava Gilboa, T. Dreyfus, Ivy Kidron","doi":"10.1007/s10649-023-10252-x","DOIUrl":"https://doi.org/10.1007/s10649-023-10252-x","url":null,"abstract":"","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47612070","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}
Pub Date : 2023-08-17DOI: 10.1007/s10649-023-10255-8
J. Alshwaikh
{"title":"The racial role of mathematicians and mathematics in maintaining the Israeli military occupation","authors":"J. Alshwaikh","doi":"10.1007/s10649-023-10255-8","DOIUrl":"https://doi.org/10.1007/s10649-023-10255-8","url":null,"abstract":"","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44481005","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}
Pub Date : 2023-08-15DOI: 10.1007/s10649-023-10250-z
Mathias Norqvist, B. Jonsson, Johan Lithner
{"title":"Shifts in student attention on algorithmic and creative practice tasks","authors":"Mathias Norqvist, B. Jonsson, Johan Lithner","doi":"10.1007/s10649-023-10250-z","DOIUrl":"https://doi.org/10.1007/s10649-023-10250-z","url":null,"abstract":"","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2023-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49153348","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}
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