{"title":"Socio-ecological gestures of mathematics education","authors":"Alf Coles, Armando Solares-Rojas, Kate le Roux","doi":"10.1007/s10649-024-10318-4","DOIUrl":"https://doi.org/10.1007/s10649-024-10318-4","url":null,"abstract":"<p>In this theoretical article, we argue that the imminent collapse of earth systems that sustain life forms calls for mathematics education as a field to reflect on and re-evaluate its priorities and thus practices. We consider both what ecological collapse means for mathematics education and whether mathematics education might offer meaningful gestures in response. We explore how the relationship between the social and the ecological is conceptualised in mathematics education (and other relevant) research and what this implies for mathematics education. We read, in this scholarship, a growing focus on the ecological and conceptualisations of socio-ecological relations between existing entities that are dialectical, or mutually dependent. More rarely, are they seen as entangled and monist, and it is in this thought that we locate our contribution of multi-layered gestures of mathematics education. We describe these, in terms of three broad practices: listening for socio-ecological entanglement; attending to the scales of socio-ecological entanglements; and living entanglement as mathematics educators. We exemplify these gestures through examples of curriculum innovation. This article, a socio-ecological gesture in itself, is written in the spirit of opening a conversation into which we invite others.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"20 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140627165","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}
Lara Gildehaus, Michael Liebendörfer, Einat Heyd-Metzuyanim
{"title":"“I’m a bit out of place here.”—Preservice teachers’ positioning in the figured world of university mathematics","authors":"Lara Gildehaus, Michael Liebendörfer, Einat Heyd-Metzuyanim","doi":"10.1007/s10649-024-10315-7","DOIUrl":"https://doi.org/10.1007/s10649-024-10315-7","url":null,"abstract":"<p>Preservice mathematics teachers are sometimes trained in programs so that they have both their own courses and joint courses with mathematics majors from the beginning of their studies. While this is thought to provide them with both deep mathematical knowledge and teaching-specific content right from the start, many of them report disaffection with and disengagement from mathematics during their very first semester. Current approaches often frame this from an individual’s perspective, investigating cognitive and affective individual differences among students. In contrast, we aim to understand this issue from a sociocultural perspective, examining underlying social processes. In this study, we thus explored preservice teachers’ experiences of the mathematics component of their training, using Holland and colleagues’ theory of figured worlds as a theoretical lens. Three group interviews with 14 preservice higher secondary teachers in a common mixed setting in Germany (one course specific to preservice teachers, one general mathematics course together with major students) were analyzed. Our findings displayed that the preservice teachers experienced two dichotomous figured worlds of mathematics and mathematics teaching. Our further analysis of their positioning between these worlds provided new insights to explain their disaffection, disengagement, and consequent learning behavior. We discuss practical implications, focusing on different teaching systems and interventions in teacher education.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"44 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140590346","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":"Exploring secondary school students’ geometrical figure apprehension: cognitive structure and levels of geometrical ability","authors":"Paraskevi Michael–Chrysanthou, Areti Panaoura, Athanasios Gagatsis, Iliada Elia","doi":"10.1007/s10649-024-10317-5","DOIUrl":"https://doi.org/10.1007/s10649-024-10317-5","url":null,"abstract":"<p>The present study examines secondary school students’ geometrical figure apprehension based on Duval’s theoretical framework regarding perceptual, operative, and discursive apprehension. The aim is to explore the cognitive structure of the geometrical figure apprehension dimensions (operative, discursive, and perceptual) in three grades of secondary school students. The tasks in the present study were completed by a sample of 881 students attending public secondary education in Cyprus. Confirmatory factor analysis indicated the stability of the structure of the model concerning secondary school students’ geometrical figure apprehension. However, differences were found in the interrelations among the three main aspects of the model in the examined grades (9, 10, and 11). Moreover, it was observed that students find it easier to solve tasks involving perceptual apprehension compared to discursive apprehension tasks, indicating a possible hierarchical structure of figure apprehension. The present study acts as a pilot study of the constructed instrument. Finally, the results are interpreted in relation to the type of geometrical paradigm in which students work at each hierarchical level.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"12 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140590416","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":"Interrogating the equity promise for Black immigrant students in reformed mathematics classrooms","authors":"Luz Valoyes-Chávez, Lisa Darragh","doi":"10.1007/s10649-024-10314-8","DOIUrl":"https://doi.org/10.1007/s10649-024-10314-8","url":null,"abstract":"<p>As increasing numbers of Black immigrant students attend schools in Chile, we examine classroom practices to consider the limits of the mathematics education equity promise for this student population. We focus on the practices of a third-grade teacher who participated in professional development for enhancing reform-based mathematics teaching in a racially diverse classroom. Drawing on Stuart Hall’s approach to race, our analysis shows how two technologies of race-power fabricate the Black immigrant child as an uneducable and impossible mathematics learner. We contend that rather than enhancing the inclusion of Black immigrant students, reform-based mathematics teaching might maintain and reinforce racial hierarchies of mathematics ability.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"19 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140590617","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}
Juuso Henrik Nieminen, Daniel L. Reinholz, Paola Valero
{"title":"“Mathematics is a battle, but I’ve learned to survive”: becoming a disabled student in university mathematics","authors":"Juuso Henrik Nieminen, Daniel L. Reinholz, Paola Valero","doi":"10.1007/s10649-024-10311-x","DOIUrl":"https://doi.org/10.1007/s10649-024-10311-x","url":null,"abstract":"<p>In university mathematics education, students do not simply learn mathematics but are shaped and shape themselves into someone new—mathematicians. In this study, we focus on the becoming of <i>dis</i>abled mathematical subjects. We explore the importance of abilities in the processes of being and becoming in university mathematics. Our interest lies in how teaching and assessment practices provide students with ways to understand themselves as both able and <i>dis</i>abled, as <i>dis</i>abilities are only understood with respect to the norm. We analyse narratives of nine university students diagnosed with learning disabilities or mental health issues to investigate how their subjectivity is constituted in discourse. Our analysis shows how the students are shaped and shape themselves as <i>dis</i>abled mathematicians in relation to <i>speed</i> in mathematical activities, <i>disaffection</i> in mathematics, <i>individualism</i> in performing mathematics, and <i>measurability</i> of performance. These findings cast light on the ableist underpinnings of the teaching and assessment practices in university mathematics education. We contend that mathematical ableism forms a watershed for belonging in mathematics learning practices, constituting rather narrow, “normal” ways of being “mathematically able”. We also discuss how our participants challenge and widen the idea of an “able” mathematics student. We pave the way for more inclusive futures of mathematics education by suggesting that rather than understanding the “dis” in <i>dis</i>ability negatively, the university mathematics education communities may use <i>dis</i> by <i>dis</i>rupting order. Perhaps, we ask, if university mathematics fails to enable accessible learning experiences for students who care about mathematics, these practices should indeed be disrupted.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"15 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140323900","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":"Book review: Charting a career and its influence. Jinfa Cai, Gabriel J. Stylianides, and Patricia Ann Kenney (Eds.) (2023) Research studies on learning and teaching of mathematics: dedicated to Edward A. Silver","authors":"Alan H. Schoenfeld","doi":"10.1007/s10649-024-10316-6","DOIUrl":"https://doi.org/10.1007/s10649-024-10316-6","url":null,"abstract":"","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"27 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140302315","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}
Alexandre Cavalcante, Annie Savard, Elena Polotskaia
{"title":"Mathematical structures of simple and compound interest: An analysis of secondary teachers’ relational thinking","authors":"Alexandre Cavalcante, Annie Savard, Elena Polotskaia","doi":"10.1007/s10649-024-10308-6","DOIUrl":"https://doi.org/10.1007/s10649-024-10308-6","url":null,"abstract":"<p>This article proposes an in-depth mathematics analysis of simple and compound interest through an exploration of the mathematical structures underlying these concepts. Financial numeracy concepts (simple and compound interest, interest rates, interest period, present and future value, etc.) have been added to the mathematics curriculum of the Canadian province of Quebec in 2016. Yet, little is known with regards to mathematics teachers’ knowledge of financial concepts. We mobilized the relational paradigm framework in the context of simple and compound interest to construct an assessment instrument of teacher knowledge. Based on 36 teachers’ responses to the questionnaire, we observed that the majority of teachers did not use mathematical structures in problem solving; they were not able to make sense of simple and compound interest in ways that do not involve standard formulas. Such results indicate opportunities for professional development in regard to secondary mathematics teachers’ knowledge of mathematics in the context of simple and compound interest situations.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"34 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140202700","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":"A long-term shift to include students’ first language in the mathematics teaching practice: socialization events and learning opportunities","authors":"Elahe Aminifar, Mohsen Malaki, Ulrika Ryan, Hamid Mesgarani","doi":"10.1007/s10649-024-10307-7","DOIUrl":"https://doi.org/10.1007/s10649-024-10307-7","url":null,"abstract":"<p>The notion of multilingual students’ first language has been advocated as a resource in mathematics learning for some time. However, few studies have investigated how implementing students’ L1 in the teaching practice impacts multilingual students’ mathematics learning opportunities. Based on a 9-month-long ethnographic study conducted in Iran, we investigate what a long-term shift from mathematics teaching in the language of instruction (Persian) to mathematics teaching that includes students’ first language (Turkish) may mean in terms of learning opportunities. In language positive classrooms, students’ socialization into mathematics and language includes using students’ first languages and paying explicit attention to different aspects of language use in mathematics. Among other things, socialization events provide possibilities to share explanations of mathematical thinking. The results of this study suggest that using students’ first languages may reinforce other language positive socialization events and provide mathematics learning opportunities during individual assignment activities. Furthermore, the results suggest that the conceived value of mathematics education in the local communities changed with the introduction of students’ L1 in the teaching practice. Consequently, this study indicates that using students’ first languages in mathematics classrooms may be a key issue in multilingual contexts.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"1 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140202549","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":"Racialization through coloniality in mathematics curricula: problematizing the Cambridge Assessment International Examination in Sub-Saharan Africa","authors":"Oyemolade Osibodu","doi":"10.1007/s10649-024-10313-9","DOIUrl":"https://doi.org/10.1007/s10649-024-10313-9","url":null,"abstract":"<p>In this essay, I examine coloniality as a racializing force within international education curricula. I focus on the British-developed Cambridge Assessment International Education (CAIE) curriculum, previously known as the Cambridge International Education (CIE) curriculum. Using the CAIE as a specific case, I discuss how international curricula serve as vehicles of coloniality and simultaneously reproduce racialized narratives about Sub-Saharan Africans. The persistence of CAIE is implicated in the ongoing project of coloniality, sustaining and reproducing racial hierarchies and the marginalization of Sub-Saharan African communities. I contend that CAIE privileges a singular way of thinking and being in mathematics and uses assessment practices to perpetuate coloniality. By recognizing the ways in which coloniality and racialization are interconnected, we can better understand the complex systems of power and privilege that shape international mathematics curricula.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"38 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140202556","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":"A framework for reasoning in school mathematics: analyzing the development of mathematical claims","authors":"Anita Valenta, Kirsti Rø, Sigrid Iversen Klock","doi":"10.1007/s10649-024-10309-5","DOIUrl":"https://doi.org/10.1007/s10649-024-10309-5","url":null,"abstract":"<p>This study introduces a framework for analyzing opportunities for mathematical reasoning (MR) in school mathematics, using MR-relevant claims and their derivation as the unit of analysis. We contend that this approach can effectively capture a broad range of opportunities for MR across various teaching situations. The framework, rooted in commognition, entails identifying necessary object-level narratives (NOLs) and the processes involved in their construction and substantiation. After theoretical development, the framework was refined through analyses of mathematics lessons in Norwegian primary school classrooms. Examples from the data illustrate how to utilize the framework in analysis and what such analyses can reveal in four typical teaching situations: the introduction of new mathematical objects, the introduction of procedures, work on exercise tasks, and work on problem-solving tasks. Drawing from the analysis of these examples, we discuss the value of the framework for analyzing MR in school mathematics and how such analysis can benefit teachers and researchers.</p>","PeriodicalId":48107,"journal":{"name":"Educational Studies in Mathematics","volume":"28 1","pages":""},"PeriodicalIF":3.2,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140202476","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}