Constructions of mathematicians in popular culture and learners’ narratives: a study of mathematical and non‐mathematical subjectivities

In this paper, based on a project funded by the UK Economic and Social Research Council considering how people position themselves in relation to popular representations of mathematics and mathematicians, we explore constructions of mathematicians in popular culture and the ways learners make meanings from these. Drawing on an analysis of popular cultural texts, we argue that popular discourses overwhelmingly construct mathematicians as white, heterosexual, middle‐class men, yet also construct them as ‘other’ through systems of binary oppositions between those doing and those not doing mathematics. Turning to the analysis of a corpus of 27 focus groups with school and university students in England and Wales, we explore how such images are deployed by learners. We argue that while learners’ views of mathematicians parallel in key ways popular discourses, they are not passively absorbing these as they are simultaneously aware of the clichéd nature of popular cultural images.     

Silencing the everyday experiences of youth? Deconstructing issues of subjectivity and popular/corporate culture in the English classroom

This paper investigates the influence of popular/corporate culture texts and discourses on the subjectivities and everyday social experiences of young people, and the extent to which such influences are critically analysed in the English classroom. I present two levels of synthesised information using data analysis born of a mixed-methods postgraduate research project with a group of 15- and 16-year-old high school students in Perth, Australia. First, I argue that popular culture texts position young people to assume subjectivities that are heavily informed by the ideologies and discourses of popular/corporate culture. Moreover, I argue that young people's social currency is often defined by the extent to which individuals demonstrate an alliance to such ideologies and discourses, and that individuals who deviate from popular norms experience subjugation and exclusion within peer and social settings. Second, I deal pedagogically with subject English and areas of it that hold relevance in terms of the integration and analysis of ‘the popular’. I argue that many students feel their teachers are ‘out of touch’ with the everyday realities of young people and their popular culture influences, and that there is a lack of commitment by teachers to critically analyse popular culture texts in the classroom. The paper concludes by arguing that such failures risk producing students whose everyday experiences are silenced and who are denied the critical learning spaces necessary to deconstruct the ways they are positioned to adopt certain subjectivities. Moreover, critical and progressive pedagogical praxis need to be further deployed by educators in order to effectively analyse the relationship between youth subjectivities and popular/corporate culture discourses.     

A beautiful myth? The gendering of being/doing ‘good at maths’

This paper draws on a research study into why more boys than girls choose to study mathematics. My starting point is that only four of the 43 young participants, and all of them male, self‐identified as ‘good at maths’. By reading these interviews as narratives of self, I explore the ‘identity work’ accomplished within their talk and within the talk of those who produced themselves/are produced as ‘not good at maths’. I argue that central to this are the ways that young people locate themselves in a series of inter‐related gendered binary oppositions including: fast/slow, competitive/collaborative, independent/dependent, active/passive, naturally able/hardworking, real understanding/rote learning and reason/calculation. I then explore the socio‐cultural context that makes such imaginings a central feature of young people’s relationships with mathematics, discussing the role of the gendered discourses of rationality evident in western enlightenment thinking and in popular culture’s stereotypes of mathematical ‘nerds’ and ‘geniuses’.     

Discourses of time and maturity structuring participation in mathematics and further mathematics

Abstract

This paper examines how young people account for choosing mathematical subjects, and how these processes sustain, or not, their continued participation. It draws on a 2-year qualitative study of 24 young people’s accounts of following advanced mathematical pathways within a widening participation programme. Working within a post-structural framework, I combine two arguments: firstly, that local discourses of time, age and maturity position contemporary adolescence as a time of ‘becoming’ that aligns personal aspirations with mathematical progress, and secondly that students’ accounts of choice and aspiration require multiple imaginings of present and future selves. I identify distinct discourses –moving/improving and getting ahead - that structure the intelligibility of participation in mathematics and further mathematics respectively. I argue that tracing the alignments between students’ accounts of themselves and/ in mathematics offers potential to understand emergent practices in mathematics participation but also how exclusions are re-inscribed along classed and gendered lines.     

Subtracting difference: Troubling transitions from GCSE to AS‐level mathematics

This article provides an approach to understanding the widely acknowledged difficulties experienced by young people in the transition from pre‐16 to post‐16 mathematics. Most approaches to understanding the disenchantment with and drop‐out from AS‐level mathematics focus on curriculum and assessment. In contrast, this article looks at the role of relationships, taking a psychosocial approach. It draws on data from a three‐year qualitative study into why young people choose mathematics. It argues that educational practitioners and policy makers are responding to stories of failure and drop‐out by excluding more people from access to mathematics. There is less and less room for difference within our mathematics classrooms. This happens because of the ways that discourses around mathematics fix how we think of the subject, who can learn it and what kind of relationships are possible between learners and mathematics. Instead the article argues for unfixing these through policies and pedagogies of difference.     

Flirting,dating, and breaking up within new media environments

Although romantic and sexual relationships are an important aspect of young people's lives, research on how young people negotiate their love/sex relationships is lacking. New media environments provide a new context within which young people negotiate their love/sex relationships; however, what is negotiated is often not all that different from what was negotiated before the advent of new media technologies. Using an online discussion board and individual in-person interviews, this paper explores how young Australians, aged 18–25 years, engage with dominant gendered discourses to negotiate their love/sex relationships within the context of new media environments. Previous research suggests that young people make use of new media technologies to flirt with one another, to initiate new relationships, to maintain their relationships, and to fight and end their relationships. This paper focuses on young people's practices of mediated flirting, surveillance, and breaking up. It considers the creative and agentic ways young people use new media technologies in the negotiation of their love/sex relationships.     

The Culture Project: diasporic negotiations of ethnicity,identity and culture among teachers,pupils and parents in Chinese language schools

Notions of culture, ethnicity and identity are highly political (and also personally meaningful) issues within diasporic communities. Complementary schools are particularly interesting sites in this respect, as they are often set up with an explicit cultural agenda of ‘preserving’ or ‘maintaining’ ‘traditional’ culture and language within diasporic communities. In this paper, we draw on qualitative data from an ESRC funded study conducted in six Chinese complementary schools to consider how pupils (n=60), parents (n=24) and teachers (n=21) in these schools construct and negotiate issues of culture and identity. We consider the ways in which the cultural agenda of the schools is constructed and experienced, teasing out the ways in which cultural discourses and pupil identities are deployed (and resisted, reworked) within the space of Chinese schools. Finally we consider the extent to which the schools are perceived by the young people to be ‘successful’ (or not) in their efforts to make pupils feel ‘more Chinese’.     

HPE teachers’ negotiation of environmental health spaces: discursive positions,embodiment and materialism

A National Curriculum in Health and Physical Education (HPE) has recently been developed in Australia. This new curriculum reflects, among other educational priorities, both environmental sensitivities and a commitment to the enhancement of young people’s health and wellbeing. HPE is one of the key sites in the curriculum where a focused consideration of the relationship between the environment and health is possible. However, to date no research has considered the ways that HPE teachers might recognise and negotiate these spaces. The research described in this paper addresses this gap through an analysis of semi-structured interviews with generalist primary and specialist secondary HPE teachers, drawing on a ‘narrative ethnography’ approach derived from cultural geography. This analysis highlights the consequences of the absence of a knowledge tradition that explicitly links the fields of the environment and health in HPE. Participants who were able to conceptualise environmental health almost exclusively drew on dominant neoliberal and risk discourses. At the same time, teachers’ embodied histories and affective encounters with non-human nature helped them to rupture or challenge dominant assumptions about environmental health. We argue that corporeal knowledge developed through embodied experiences has the potential to assist teachers in formulating environmental health in ways that highlight how interactions with the environment might enhance health and wellbeing.     

论中国现代数学的早期奠基历程

中国现代数学的奠基是在落后于西方数学200年的基础上,经过先辈数学家们走出国门,艰苦求学,然后回国创办高等教育,发展中国的现代数学.中国现代数学的奠基历程经历了从20世纪初到1929年间30年的艰难起步,回顾前辈数学家们开拓中国现代数学的这段艰苦历程,感受他们高度的民族自强精神和卓越的科学创造才能.     

Research mathematicians as teacher educators: focusing on mathematics for secondary mathematics teachers

We believe that professional mathematicians who teach undergraduate mathematics courses to prospective teachers play an important role in the education of secondary school mathematics teachers. Thus, we explored the views of research mathematicians on the mathematics that should be taught to prospective mathematics teachers, on how the courses they teach can serve teachers in their work with school students, and on the changes they would implement if their courses were designed specifically for prospective teachers. We constructed profiles of the four mathematicians based on their responses to a clinical interview. We employed the construct of mathematics teacher-educators’ triad in the reflective analysis of our findings and extended the construct based on the results of this study. In conclusion, we commented on potential ways to draw stronger connections between university mathematics and the mathematics taught in schools.     

Becoming economic subjects: agency,consumption and popular culture in early childhood

This paper considers how young children in early childhood education draw on popular texts and consumer goods in their constitution of subjectivities and social relations. The paper draws on poststructuralist theories of subjectivity, agency, consumption and power, to explore how performative practices of consumption figure in the constitution of economically oriented subjectivities. Drawing on data generated in research undertaken in early childhood centres in the culturally diverse outer metropolitan region of Greater Western Sydney, Australia, the paper considers how economic discourse informs children's cultural knowledges, shaping the ‘techniques of the self’ through their engagement with commercially available images and products. The argument is made that children make strategic use of their knowledge of popular culture and its potential to locate them advantageously in material and symbolic economies, and that the deployment of symbolic and material goods that shapes children's dress, play, and conversation is an important means of rendering oneself intelligible within normative discourses of economic participation.     

高中数学教材中数学史分布的特征和模式研究——以北师大版数学必修教材为例

在北师大版高中数学必修教材中,数学史的有关内容共有22处.这些数学史的内容分别出现在正文、例题、习题和阅读材料中,其中阅读材料占63.64%.数学史的内容主要是数学家生平、历史名题以及与数学史有关的其他材料,而且主要以文字呈现.数学史融入数学教学有两种设计模式:显性融入和隐性融入,显性融入又可分为由数学知识引出数学史和由数学史引出数学知识两种方式。     

Innocent Victims, Fighter Cells, and White Uncles: A Discourse Analysis of Children’s Books about AIDS

In this article, we examine a set of 26 children’s books on HIV/AIDS published between 1989–1999 to identify the ways in which these texts construct HIV/AIDS and people living with HIV/AIDS. We explore how this marginalized group is depicted in these books, and how well-meaning teachers may in fact be reproducing dominant discourses about HIV/AIDS in their curricula. In this article we focus, in particular, on how the discourses connected to public health, medicine, and secrecy (as a discourse across many institutions) are filtered to children and take part in constructing their beliefs and assumptions about HIV/AIDS. We illustrate our argument with examples from the books and show why teachers need to know how to analyze texts they select for their curricula so as to read books about HIV/AIDS critically in the classroom. Megan Blumenreich is Assistant Professor of Childhood Education at The City College of New York, City University of New York. Her research interests focus on urban schooling, poststructuralist approaches to qualitative research, and teacher education. She is the coauthor of The Power of Questions: A Guide to Teacher and Student Research (Heineman, 2005). Marjorie Siegel is Associate Professor and Chair of the Department of Curriculum and Teaching at Teachers College, Columbia University. Her research interests include transmediation and multimodality in literacy education, content area literacies, and literacies and technologies. She is the coauthor of Reading Counts: Expanding the role of reading in mathematics classrooms (Teachers College, 2000). M. Himley, “Teaching the rhetoric of AIDS: Blurring the boundaries.”     

`A historical angle’, a survey of recent literature on the use and value of history in geometrical education

In this article we give a survey of recent literature on the use and value of the history of geometry in mathematics education. It turns out that many authors have contributed to the debate why we should apply history. Their arguments can be divided into conceptual, (multi-) cultural and motivational ones. The number of authors who concentrated on the methodological question “How could we introduce history into mathematics lessons?” is considerably smaller. Those who want to make history an integral part of mathematics education have to bridge the gap between theoretical arguments and practical ideas, and, connected with this,between historians and teachers, and ultimately between mathematicians from the past and present day students. We divided the various surveyed publications, mainly journal articles, into categories according to a framework in order to clarify the discussion on the role of the history of geometry in education. Details about content and purpose of the articles are presented in two appendices, which make the articles more accessible both for further research and for practical teacher purposes.     

Investigating teachers’ images of mathematics

Research suggests that understanding new images of mathematics is very challenging and can contribute to teacher resistance. An explicit exploration of personal views of mathematics may be necessary for pedagogical change. One possible way for exploring these images is through mathematical metaphors. As metaphors focus on similarities, they can be used to express already-held perceptions about the nature of mathematics. In addition to providing a way of talking about current views of mathematics, the analogous dimensions of metaphors can prompt new ways of thinking about these images. In this article, I consider the use of metaphors as a strategy for explicating elementary teachers’ views of mathematics. I claim that the investigation of metaphors of mathematics helped create a shared communicative space and enhanced the quality of the discussion with the teachers. In particular, our exploration of the metaphor mathematics is a language encouraged a consideration of the humanistic dimensions of mathematics and contributed to a varied re-imaging of mathematics.     

‘Do they really do that in Korea?’: multicultural learning through Hallyu media

ABSTRACT

As new media spaces expand opportunities for engagement with geographically distant people and places, this article examines how communication practices within such spaces may construct cultural differences. The study’s data source was a website on which people posted, watched, and discussed Asian dramas. Qualitative data included writing, visual images, and interactions created within the site’s Korean dramas forum. Analyses of user-generated discussions revealed discourses about Korean distinctiveness. The forum functions as a virtual multicultural learning community where youth who lived outside of Korea imagined and negotiated an understanding of Korean culture. As these youth participated in Hallyu (the Korean Wave) through their engagements with its media, their discourses on Korean distinctiveness reinscribe Koreans as a global Other. Implications of this study include ways that online transnational engagements with Korean dramas in particular, and Hallyu media in general, shape current learning about Korea, as well as the possibilities and challenges of new media affordances for Internet-mediated multicultural learning.     

Hanging out in The Studio to challenge xenophobia: consolidating identities as community writers

This article examines findings from a Scottish Social Innovation Fund project carried out in an after‐school club known as The Studio. Researchers worked alongside artists to engage young people situated within their communities to challenge xenophobic discourses through the creation of positive narratives developed through story and arts‐based activities. The work used the “deep hang out theory” to generate a complex account of how the participants mediated the cultural tools surrounding them to produce a community text. Through engaging in an arts‐based process, the young writers and illustrators developed a sense of belonging within their communities, taking an active, engaged stance as literacy producers of texts that challenged xenophobic discourses. The lessons learned in this informal space are of relevance across contexts where young people wish to engage in creating positive narratives of community cohesion.     

‘When I am being rushed it slows down my brain’: constructing self-understandings as a mathematics learner

Understanding learning disabilities (LDs) as constructed through multiple cultural practices including discourse, this paper focuses on a Latino middle school student with a LD named Elijah. This study documents both the discourses and practices used to position Elijah as a mathematics learner, as well as his use of similar discourses as he constructs a complex set of self-understandings as a mathematics learner. Elijah is positioned by discourses that prioritise speed as an indicator of mathematical ability, as well as discourses that construct students with LD as having both intelligence and differences such as processing speed. An analysis of interview and observational data suggests that Elijah constructed a unique set of self-understandings as a mathematics learner. Like his sixth-grade special education teacher, Elijah seems to differentiate between knowledge and the performance of knowledge in school. He created a unique identity as both ‘fast’ and ‘slow’ in mathematics, rejecting the binary found in many mathematics classrooms. These findings suggest that multiple discourses circulate in schools about ability and disability in mathematics.     

What is the problem in problem-based learning in higher education mathematics

Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge where the application in society is not always obvious. Does mathematics, including pure mathematics, fit into a PBL curriculum? This paper argues that it does for two reasons: (1) PBL resembles the working methods of research mathematicians. (2) The concept of society includes the society of researchers to whom theoretical mathematics is relevant. The paper describes two cases of university PBL projects in mathematics; one in pure mathematics and the other in applied mathematics. The paper also discusses that future engineers need to understand the world of mathematics as well as how engineers fit into a process of fundamental-research-turned-into-applied-science.