‘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.     

Beginning to Understand Teaching as a Discipline

We explore the possibility of understanding teaching as a discipline in its own right, rather than as a domain that is ancillary to the many academic disciplines. While teaching looks easy and is widely regarded as easy, the image of teaching as transmission and the perspective of technical rationality mask the many ways in which challenging and engaging teaching represents a highly disciplined view. When extended to teacher education, the perspective of teaching as a discipline sheds powerful light on longstanding frustrations reported by those learning to teach. We argue for the conclusion that teaching is a discipline and that teacher education is the home of that discipline, with self-study as one of the central methodologies for making explicit the knowledge inherent in teaching seen as a discipline.     

Classroom‐Based Curriculum Development,Artificial Intelligence and History Teaching

The adoption of educational policy measures to close the achievement gap, as well as the significant amount of scholarship dedicated to the subject, are just some of the indicators that reflect the tremendous concern in education about the academic performance of students of colour. Within research aimed at promoting equitable practices in education, culturally relevant teaching has emerged as a good teaching strategy to improve achievement. Using genealogical methods to examine the ways in which culture has become relevant to classroom practice, the author argues that that the perceived difference from white students that made it possible to conceive of children of colour as culturally deficit in the 1960s is also invoked in more recent literature that promotes attending to culture as an equity strategy. The take-up of culturally relevant teaching as something that a teacher can ‘do’, instead of a critical stance that a teacher takes, is also examined and critiqued.     

Child abuse as an international issue

This paper provides a background and suggests a strategy for an international approach to policy development concerning child abuse. First, child abuse is defined in a way that makes it applicable across cultures and national boundaries as that portion of harm to children that results from human action that is proscribed, proximate and preventable. A number of other dimensions, such as the degree of social sanction or social censure, are outlined that also affect the likelihood that given harm will be regarded as child abuse. Cross-cultural research also reveals that certain categories of children--such as those in poor health, females, unwanted children and those born under difficult circumstances or with disvalued traits or under conditions of rapid socioeconomic change--are more vulnerable to maltreatment in many countries. The paper argues for a two-pronged international strategy that first urges individual countries to make a priority of the particular types of abuse that are in most urgent need of attention in their society as well as participating at the same time in a concerted international focus on three widely occurring forms of child abuse: parental child battering, selective neglect, and sexual abuse.     

Trust: the power that binds in team supervision of doctoral students

Team supervision of doctoral students adds new dimensions and complexities to relationships within the teams that impact functionality of the team. Trust emerged as a significant theme in recent qualitative research into the quality of team supervision of doctoral students. Trust was cited as a key component in successful team collaborations, and the missing component in dysfunctional teams. Definitions refer to trust as the belief of truthfulness, reliability or faith in another person’s abilities. My hypothesis is that trust operates as a form of power in team supervision. It is a form of power that enables voice, resilience and creativity in teams. This article concludes that placing trust in others in supervisory teams is a deliberate decision by candidates and supervisors. It is a decision to engage in a team context despite known risks and may be understood as a gamble on the reliability of others in the expectation of reciprocity. By conceptualising trust as a form of power, strategies that engender and maintain trust may be utilised more intentionally.     

Antiracist Solidarity in Critical Education: Contemporary Problems and Possibilities

This paper argues that antiracist solidarity in education remains urgent, but that in framing solidarity projects critical educators have not been sufficiently attentive to the shape and extent of racism as a global ordering of social life. We describe the paternalism that has determined historical efforts at solidarity between African Americans and Whites and then extend our analysis of whiteness to the contemporary context, outlining its expressions in schooling and the challenges they pose for solidarity projects. Drawing on recent work in cultural studies and philosophy, we describe whiteness as a basic ordering of human being as well as a system of material and cultural oppression, and suggest that antiracist solidarity has to involve a reorganization of ways of being and knowing as well as a vision of global coexistence that respects epistemological difference and autonomy. On this basis we identify several key principles that should guide projects of antiracist solidarity in the present. The paper describes the most important implications of these principles for teaching, focusing in particular on the differing costs to teachers of color and White teachers of participation in antiracist activism, and outlining a form of solidarity without guarantees that can orient critical work in schools.     

Building world class universities through innovative teaching governance

There is a growing interest in educational innovation in universities at a global level, as a tool designed to create strategic changes in order to improve quality. This study evaluates the global improvement in universities as a result of educational innovation governance, as a pillar of the so-called world-class research universities and as a tool for continuous improvement in higher education. The methodology has been designed by different educational innovation groups from the Universidad Politécnica de Madrid, Universidad de Cádiz, and the International Project Management Association Spanish Board, and includes an analysis of 67 universities from 20 countries. The study is based on 32 universities in Spain, as well as 35 other international universities that carry out educational innovation activity. The results show that universities that have a more mature educational innovation governance in place, both in Spain as well as in other countries, are higher in the ranking of universities (Webometrics). These universities demonstrate a tendency to work on educational innovation projects, which are contributing to strategic changes that will permanently revitalise teaching, whilst also improving research and its links to society.     

Dimensionality and Disciplinary Differences in Personal Epistemology

A growing body of work addresses the nature of epistemological development and epistemological beliefs: how individuals come to know, the theories and beliefs they hold about knowing, and the manner in which such epistemological premises are a part of and an influence on the cognitive processes of thinking and reasoning. This study investigates the dimensionality of personal epistemology as hypothesized in a recent review of the literature as well as the nature of disciplinary differences. First-year college students responded to a set of questionnaires that included an adaptation of a domain-general epistemological instrument and a discipline-focused questionnaire. Results suggest that there is an underlying dimensionality to epistemological theories that cuts across disciplinary domains, but that students, at least by the 1st year of college, discriminate as to how these theories differ by discipline. Disciplinary differences were strong, suggesting that 1st-year college students see knowledge in science as more certain and unchanging than in psychology, are more likely to regard personal knowledge and firsthand experience as a basis for justification of knowing in psychology than in science, view authority and expertise as the source of knowledge more in science than in psychology, and perceive that in science, more than in psychology, truth is attainable by experts. This contradicts existing research that suggests that epistemological development is domain general and that epistemological beliefs do not differ by discipline.     

Language policy and science: Could some African countries learn from some Asian countries?

This article deals with the fact that most children in Africa are taught in a language neither they nor their teachers master, resulting in poor education outcomes. While there are also donor interests and donor competition involved in retaining ex-colonial languages, as well as an African elite that may profit from this system, one of the main reasons why teaching in ex-colonial languages persists lies in the fact that a large proportion of the general public still believes that the best way to learn a foreign language is to have it as a language of instruction. By contrast, research studies conducted in Africa, as well as examples from Asian countries such as Sri Lanka and Malaysia, have shown that children actually learn mathematics and science much better in local and familiar languages. Though the recent World Bank Education Strategy policy paper is entitled Learning for All, it does not specify which language learning should take place in. A claim one often hears in countries of so-called Anglophone Africa is that English is the language of science and technology, and that teaching these subjects through English (instead of teaching English as a subject in its own right as a foreign language) is best. The monolingual island of Zanzibar is in fact about to reintroduce English as the language of instruction in maths and science from grade 5 onwards in primary school. The author of this paper suggests that when it comes to language policy, some African and some Asian countries could learn from each other.     

试论金庸武侠小说创作中的政治情结

从个人生活经历上看,金庸明显具有双重身份:作为成功报人、政论家的查良镛与作为武侠小说家的金庸。这也决定了金庸不仅仅把武侠小说当做历史和文学故事来写,而是自觉不自觉地在其小说创作中宣泄他作为政论家的政治热情,表现其内心的政治思考和抱负。从某种意义上甚至可以说,正是其前者身份中所蕴涵的浓重的政治情结,对其武侠小说创作的成功起了至关重要的作用。     

‘This is My Truth,Tell Me Yours’. Deconstructive pragmatism as a philosophy for education

One way to characterise pragmatism is to see it as a philosophy that placed communication at the heart of philosophical, educational and political thinking. Whereas the shift from consciousness to communication can be seen as a major innovation in modern philosophy, it is not without problems. This article highlights some of these problems and suggests a way ‘forward’ by staging a discussion between pragmatism and deconstruction. Although there are striking similarities between pragmatism and deconstruction, it is argued that pragmatism and deconstruction cannot sit as easily together as some authors assume. The reason for this is not that pragmatism and deconstruction are incompatible philosophies but rather that deconstruction occurs at the very heart of pragmatism. This implies that pragmatism can only retain its commitment to communication in philosophy, education and politics if it acknowledges and, in a sense, embraces the occurrence of deconstruction in communication. This suggests that the future of pragmatism as a philosophy for education o lies in its deconstruction, something which is expressed in the idea of a deconstructive rather than a deconstructed pragmatism.     

A ‘globalised’ curriculum – international comparative practices and the preschool child as a site of economic optimisation

Globalisation is often referred to as being external to education – a state of affairs presenting the modern curriculum with numerous challenges. In this article, ‘globalisation’ is examined as something that is internal to curriculum and analysed as a problematisation in a Foucaultian sense, that is, as a complex of attentions, worries and ways of reasoning, producing curricular variables. The analysis is made through an example of early childhood curriculum in Danish preschool, and the way the curricular variable of the preschool child comes into being through ‘globalisation’ as a problematisation, carried forth by comparative practices such as Programme for International Student Assessment. It thus explores some of the systems of reason that educational comparative practices carry through time, focusing on the ways in which configurations are reproduced and transformed, forming the preschool child as a site of economic optimisation.     

Conceptions and Contexts: On the Interpretation of Interview and Observational Data

Research within a constructivist approach often relies on interview data, which are used to reveal beliefs held by the interviewee or to expose conceptions or conceptual structures that are supposed to reside within the interviewee. From a sociocultural perspective, severe criticism has been leveled against the neglect of the problems of inferring conceptions held by a participant from what is uttered in an interview. Utterances should be looked upon as cultural tools used to realize discursive practices, rather than as propositions mirroring mental entities. It is argued that the clinical interview, often used by constructivists, disregards the impact of a situation and discursive norms with regard to what is uttered in a conversation. Here, it is argued that by taking into account an interviewee's conceptions of the situation, as well as of the subject matter being talked about, some sort of a bridge between the methodological standpoints of constructivism and sociocultural theory can be formed. It is proposed that utterances should be regarded as actions, and thus the problem of ascribing meanings to behavior is in focus, that is, how a series of behaviors can be regarded as an intentional action. It is argued that by means of such an approach, it is possible to make inferences about conceptions and conceptual structures much in the same way as is done in research on conceptual change. However, this means that utterances cannot just be “read off.” The interviewee's aims, conceptions of the subject matter talked about, as well as the interviewee's conceptions of the situation to hand must be taken into account. A reinterpretation of data reported by Andrea diSessa and Bruce Sherin is used as an illustration.     

Literacy as material engagement: the abstract,tangible and mundane ingredients of childhood reading

This article explores questions that arise when we consider the things that make literacy possible. How do they interact with ordinary household objects and activities, and what intertextual implications arise from such mundane interactions? The concept of dual representation suggests that some objects may have both a physical and a symbolic existence; a book is a thing that sits on a shelf but it is also a representation of an imaginary content. It is commonplace to think of electronic texts as having only a virtual life, but they also reside within an object that has a tangible household existence. Objects are very often managed by hands, and this article explores the role of the hands in directing attention and in connecting the objects of literacy to their surrounding environment. It draws on an extended study of one child's access to analogue literacy material. Comparing that access to the repertoire of contemporary children, it suggests that we may better understand the role of literacy in our lives if we attend to the tangible as well as the abstract associations the objects of literacy evoke and if we think of literacy as a form of material as well as intellectual engagement.     

Children in Public or 'Public Children': An Alternative to Constructing One's Own Life

This article arises from the thoughts of Hannah Arendt, and more especially from her idea that the essence of education is the renewal of the world. That idea forms the backdrop to a consideration of the current interest in education as the construction of one's own life. I argue that the will to construct one's own life is not a natural, biological given, but a product of a 'biopolitical machine'. In the first part of the article I challenge the contemporary discourse of self-empowerment and expose the way that the will to construct one's own life, in its current manifestation, is an effect and an instrument of a (strategic) configuration that includes the construction of one's own life as a matter of public concern. Ironically, the foregrounding of 'public concern' in this way undermines a more meaningful realisation of the public realm. I see this, however, not primarily as a problem, but as an invitation to think again. In the second part I argue that what the 'biopolitical machine' has shown is precisely that thinking of childhood in terms of a becoming and a 'not yet' does not capture the essence of human being. Instead it should be conceived as a singular, historical experience emerging within a particular historical context. What this reveals is an opening onto a possibility of acting and thinking differently. I conclude with an alternative idea of education, one that is inspired by Arendt. However, this is not intended as a utopian turn, but rather as a means of exposing a dimension of education that has remained silenced or even largely excluded: a dimension that is an invitation to think and to put our thoughts at stake, which is something altogether different from utopia.     

读书札记二则

罗常培先生在《唐五代西北方音》中分析汉藏对音材料时说,喻母三等的“往”本该读Ф,但在阿弥陀经中却象微母字一样读‘bwan,那是“误作”。而在今天的西安、渭南、富平等将微母与喻母分读的方言区,本该’Ф的“往”却象微母字一样读作了v声母。由此我们推测,大概早在唐五代时期,“往”在西北地区就：行了唇音声母的读法;陕北延川等地的“齐、净、栈、寨、歌谣”这些形容词或名词性词语,均有动词用法。并且,这些动词用法亦见于古代典籍。     

‘Teacher as Professional’ as Metaphor: What it Highlights and What it Hides

This article is concerned with the downsides of using the language of professionalism in educational discourse. It suggests that the language of professionalization can be a powerful rhetorical device for promoting welcome and necessary changes in the field of teaching but that, in doing so, it can unintentionally misrepresent the work that teachers do. Taking as a theoretical framework Lakoff and Johnson's metaphor theory, the article argues that ‘teacher as professional’ should be seen as a metaphor of teaching on par with other metaphors familiar from the history of educational thought. What metaphors of teaching have in common, the article advances, is that they systematically highlight certain aspects of teaching while hiding others. The significance of this conclusion is twofold. Appreciating the limits of the ‘teacher as professional’ metaphor provides guidance about how to use more effectively ‘professionalism’ as a normative standard for promoting change in teaching and teacher education. Second, appreciating the metaphorical character of ‘teacher as professional’ has heuristic value in that it offers a novel explanation for the controversial trend towards conceptualising teaching in narrowly instructional terms.     

Intuition and formalism in mathematical proof

Summary Thus, in summary, I have argued that whenever we see mathematical proof as involving only a mechanical aspect we are driven to see that it involves, as well, an intuitive one. And whenever we are tempted to see mathematical proof as involving only a solitary aspect, we are driven to seeing that it is also a social matter. And whenever we are tempted to see a mathematical argument of the kind found in proof, namely a chain of tautologies or of equalities, as merely, or perhaps as the ideal of, literal expression, we are also forced to see that it is, in fact, essentially metaphorical. And perhaps these three conclusions are enough for one paper.     

Entrepreneurialism and the transformation of Russian universities

Like many Western knowledge‐practices, experiential learning is seen to require what is, in effect, an act of self‐dismemberment, a splitting of the head from the body that denies the connectedness of knowledge to the body and thus loses sight of knowledge as a product of corporeally and emotionally grounded human life. This article first traces the history through which modernist knowledge‐practices were predicated on the rejection of the experiencing body and examines the impact of the resultant epistemology on power relationships. It then suggests that, as a function of memory, experiential learning is more properly understood as an act of re‐membering. It argues that experience is itself located in the body as well as in the social and material locations that bodies invariably occupy — and asks what a theory of experiential learning might look like that re‐members body and mind.     

Becoming individual in education and cyberspace

This article traces key competences that are necessary to master as teachers are increasingly obliged to orchestrate learning as initiation into individual autonomy. The context is one that acknowledges that learning increasingly dissipates out into cyberspace.Inspired by Gilles Deleuze and Michel Foucault, the article explores preconditions for professionalizing the teacher using project work as a generalized case. Project work claims to anticipate initiation into autonomy and reflects new power relations between professionals and clients as well. It is assumed that project work illustrates the transition from traditional school forms to a more individualized society where Information and Communication Technologies media (ICT) are increasingly integrated in learning. It is likewise assumed that the procedures and rules governing project work—as a way of shaping the image of oneself as an individual—correspond in ambivalent ways to competences that one must master in order to navigate as an up‐to‐date employee, citizen, and parent, and so on.