首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献，搜索用时 31 毫秒
1.
In his influential 1960 paper ‘The Unreasonable Effectiveness of Mathematics in the Natural Sciences’, Eugene P. Wigner raises the question of why something that was developed without concern for empirical facts—mathematics—should turn out to be so powerful in explaining facts about the natural world. Recent philosophy of science has developed ‘Wigner’s puzzle’ in two different directions: First, in relation to the supposed indispensability of mathematical facts to particular scientific explanations and, secondly, in connection with the idea that aesthetic criteria track theoretical desiderata such as empirical success. An important aspect of Wigner’s article has, however, been overlooked in these debates: his worries about the underdetermination of physical theories by mathematical frameworks. The present paper argues that, by restoring this aspect of Wigner’s argument to its proper place, Wigner’s puzzle may become an instructive case study for the teaching of core issues in the philosophy of science and its history.  相似文献   

2.
Why does anyone become a teacher, and why a student? Education in its contemporary form has evolved into a subsystem of society in which professional ‘teachers/ educators’ are confronted with an ever‐changing group of people called ‘pupils/students’; and the individuals in both groups now have to deal with this institutionalised confrontation. Neither one nor the other decision—to become a teacher or to become a student—seems to have much to do with a specific other person, and it certainly does not have much to do with the actual person(s) that one is related to by becoming a teacher or by becoming a student in a specific institution. However, if pedagogical relations were as depersonalised as suggested, why is it that teachers as well as students hold very different relations to different students and teachers—relations that are more or less ‘deep’, ‘affectionate’, ‘successful’? And how are we to perceive education outside of formally institutionalised contexts (or those special relations that occur even within formalised contexts but transcend them)? Is there another type of pedagogical relationship? And what would be the reasons for entering into a pedagogical relationship other than becoming and being made a part of a subsystem of society? Why do two people gravitate towards each other, freely recognising each other as teacher and student? Attempting to answer those questions, the following paper revisits some historic positions, being conscious that those answers are also part of the answer to a much greater question: What is education?  相似文献   

3.
  相似文献   

4.
What is it that makes a student's answer correct or incorrect in Religious Studies? In practice, the standards of correctness in the Religious Studies classroom are generally applied with relative ease by teachers and students. Nevertheless, they are problematic. We shall argue that correctness does not come from either the students or the teacher believing that what has been said is true. This raises the question: what is correctness, if it does not come down to truth? We propose, and examine, three rival solutions, each of which, to an extent, rationalises a fairly natural response to the problem. The first, the elliptical approach, says that correct contributions have some tacit content: they are elliptical for true sentences about beliefs (e.g. a sentence of the form ‘Christians believe that …’). The second, the imaginative approach, seeks to replace appeals to truth and belief with an appeal to imagination, treating Religious Studies as a ‘game of make‐believe’ in which teachers and students imaginatively engage with certain worldviews. The third, the institutional approach, locates the root of correctness in the practices of the Religious Studies institution, which include making endorsements of some judgements and not others. We show that the first of our proposed approaches encounters a number of significant objections. We find the second of our proposed approaches to be better, but the third is the most attractive, providing a direct, intuitive and comprehensive route through the problem of correctness.  相似文献   

5.
The debate on the differential effects of mathematics textbook series is a recurrent topic in the research literature. Research results remain inconclusive, pointing to a lack of evidence to decide on the relevance of the selection by schools of a mathematics textbook series. Studies also point to difficulties in comparing textbooks. Recently, in order to examine the influence of mathematics textbook series on student learning, the need to take into account mediating variables between the mathematics textbook series and the enacted curriculum is stressed. This paper focuses on one such mediating variable: teachers’ views of mathematics textbook series. Views of a mathematics textbook series of 814 teachers and mathematics performance results of 1579 students were analysed. The results point out that, with regard to teachers’ views of mathematics textbook series, the question ‘Does it really matter which mathematics textbook series schools choose’ has to be answered positively. Implications of the findings are discussed.  相似文献   

6.
Scores from the Australian National Assessment Program—Literacy and Numeracy (NAPLAN) identify students ‘at risk’ of not meeting minimum standards deemed necessary for future success in school and employment. The NAPLAN tests include items related to numeracy but also mathematics content and skills. Research in the area of mathematics education examining the effectiveness of pedagogical interventions in improving student scores on NAPLAN and other international measures is not only shaped by the standardised testing regime, it also effectively corrals the problem within the school context. As such, it is unable to answer questions related to other factors implicated in the lives of those who continue to ‘fail’ in relation to numeracy outcomes. This paper critically examines the type of funded research being done in relation to numeracy and mathematics education, the ‘social’ turn and the disconnect between this research and the widening ‘gap’ in NAPLAN numeracy outcomes. It argues for a research approach informed by institutional ethnography that begins with the ‘doings’ of individual students labelled ‘at risk’.  相似文献   

7.
The thesis that all learning has the character of enquiry is advanced and its implications are explored. R. G. Collingwood's account of ‘the logical priority of the question’ is explained and Hans‐Georg Gadamer's hermeneutical justification and development, particularly the rejection of the re‐enactment thesis, is discussed. Educators are encouraged to consider the following implications of the character of the question implied in all learning: (i) that it is a question that is constituted in the event rather than prepared or given in advance, and that this leads to a necessary tension between learning and the curriculum or scheme, (ii) that it is a question that concerns some subject matter or issue that is at stake for both the student and the object of study, which draws our attention to the ‘intentionality’ of learning, and (iii) that it is a question that operates on the level of being—students are ‘called into question’, and thus transformed, by the object of study.  相似文献   

8.
In this paper I address the question: How is it that people come to choose mathematics and in what ways is this process gendered? I draw on the findings of a qualitative research study involving interviews with 43 young people all studying mathematics in post‐compulsory education in England. Working within a post‐structuralist framework, I argue that gender is a project and one that is achieved in interaction with others. Through a detailed reading of Toni and Claudia’s stories I explore the tensions for young women who are engaging in mathematics, something that is discursively inscribed as masculine, while (understandably) being invested in producing themselves as female. I conclude by arguing that seeing ‘doing mathematics’ as ‘doing masculinity’ is a productive way of understanding why mathematics is so male dominated and by looking at the implications of this understanding for gender and mathematics reform work.  相似文献   

9.
A secondary school mathematics teacher and mathematics education researcher engaged in a collaborative professional development experience that focused the teacher’s reflection on videotapes of his instruction. The purpose was to document and explore the teacher’s experiences with respect to his reflections and classroom practice while trying to create inquiry‐based mathematical discourse. Data included videotaped classroom observations, audiotaped interviews, and audiotaped focused reflection sessions. Analysis of the data revealed that over the course of the semester‐long collaboration the teacher exhibited, at various times, four different reflective states (‘explain but not question’, ‘question but not explain’, ‘question and explore’, and ‘exploring’). The identification of these reflective states suggests a more complex relationship between reflection and changing teachers’ practice than previously thought. The results of this article suggest that the interaction of teachers’ reflective activities and reflective states contribute to various kinds of teacher change in the classroom.  相似文献   

10.
Enrico Fermi was a man with outstanding talents, he had many interests outside his own particular field. He was credited with asking famous questions. There are long preambles to Fermi's questions like this: — ‘The universe is vast, containing myriads of stars, many of them not unlike our Sun. Many of these stars are likely to have planets circling around them. A fair fraction of these planets will have liquid water on their surface and a gaseous atmosphere. The energy pouring down from a star will cause the synthesis of organic compounds, turning the ocean into a thin, warm soup. These chemicals will join each other to produce a self-reproducing system. The simplest living things will multiply, and evolve by natural selection and become more complicated. And eventually active, thinking creatures will emerge. Civilization, science and technology will follow. Then, yearning for fresh worlds, they will travel to neighboring planets, and later to planets of nearby stars. Eventually they should spread out all over the Galaxy. These highly exceptional and talented people could hardly overlook such a beautiful place as our Earth’. And so Fermi came to his overwhelming question, — ‘If all this has been happening, they should have arrived here by now, so where are they?’ It was Leo Szilard, a man with an impish sense of humor who supplied the perfect reply to Fermi's rhetoric: ‘They are among us’, he said, ‘but they call themselves Hungarians’.  相似文献   

11.
This paper builds on previous work (Black et al., Educational Studies in Mathematics 73(1):55-72, 2010) which developed the notion of a leading identity (derived from Leont’ev’s concept of ‘leading activity’) which, we argued, defined students’ motive for studying during late adolescence. We presented two case studies of students in post-compulsory education (Mary and Lee) and highlighted how the concept of a leading identity might be relevant to understanding motivation in mathematics education and particularly the ‘exchange value’ or ‘use value’ of mathematics for these students. (Lee’s identity was mediated by mathematics’ potential exchange value in becoming a university student, and Mary’s more by its perceived use value to her leading identity as an engineer.) In this paper, we follow up Mary’s story as she progresses to university, and we see how she is now ‘led’ by contradictory motives and identities: Mary’s aspirations and decisions seem to be now as much related to her identity as a Muslim woman as to her identity as an engineer. Therefore, we argue that more than one identity/activity may be considered as ‘leading’ at this point in time—e.g. work versus motherhood/parenting, for instance—and this raises conflicts and tensions. We conclude with a more reflexive account of leading identity which recognises the adolescent’s developing awareness of self—an ongoing process of organisation as they experience contradictions in managing their education, work, domestic, community and other lives.  相似文献   

12.
While storytelling pedagogy presents novel perspectives and affordances to educators, a fundamental question that bears attention is the match between storytelling pedagogy and the nature of knowledge. Quite simply, the problem may be posed thus: is storytelling the optimum means for teaching all forms of knowledge? While rather obvious matches occur for knowledge in the social science, humanities, languages and literacy education, would storytelling pedagogy ‘work’ for the natural sciences, technology, engineering and mathematics classrooms? If so, what may be optimum means to integrate storytelling instruction in these latter kinds of classrooms? In this study, we report on the results of an implementation of digital storytelling in a grade five science classroom. Using what we termed the ‘edu-tainment’ approach, we asked students to design a digital story that communicated a scientific concept embedded within the narrative structure—characters within the narrative would experience the effects of the concept, the quality of the story being proxy indicators of students’ understanding of the scientific concept. We propose that this pedagogical strategy presents a strong challenge to discern students’ understanding, and we also discuss the effect of knowledge forms on the success of this pedagogy.  相似文献   

13.
We live in a time of constant change—in liquid modernity—and this has created a rapidly growing need for Transformative Learning (TL): we must be able to constantly change and develop ourselves in order to keep pace with the changes in our environment and life situation. However, the need for change has grown so fast and in so many directions that the term of TL has itself become uncertain or even confused. In 2000, Robert Kegan posed the question ‘What “Form” Transforms’? He advocated a new approach to TL but did not propose any new definition; this situation still remains: among several proposals for new approaches to TL, there is a general agreement that the traditional definition of the term as changes in the learner’s ‘meaning perspectives’, etc. is too narrow and too cognitively oriented. In this article, it is argued that TL should be re-defined as ‘changes in the learner’s identity’. The article explains why this definition is better and more up to date. Through discussion of range of issues, the article shows that the linking of the concepts of TL and identity open the way for new understandings and possibilities.  相似文献   

14.
In this article, I aim to vindicate the belief that many teachers have that their intuitions, insights, or perceptions are legitimate—and indispensible—guides for their teaching. Perceptions can constitute knowledge. This runs counter to some number of views that emphasize ‘reflective practice’ and teachers as ‘reflective practitioners.’ I do not deny that reflection can be important, but it is a derivative task, dependent on teachers being the ‘right sort of subject,’ having the ‘right orientation’ to their work, at the service of achieving that orientation. That orientation is a matter of virtue, where virtue is manifested in the capacity to read situations correctly for what is required to serve persons’ welfare, for them to do well. This entails that good teaching is more experienced-based than research-based. Ultimately, it is life experience that provides for teachers’ ability to see well.  相似文献   

15.
Mathematical reasoning and tools are intrinsic to science, yet the close and dependent relationship science has to mathematics is not reflected in either school education or science education research. This paper asks what the barriers are to a mutually beneficial relationship between the two disciplines. A two-phase qualitative interview study was used to explore the relationship between school science and mathematics education through the perspectives of science and mathematics education policy-makers and of teachers in departments which are unusual in collaborating. In total there were 36 participants. Interview data were analysed using thematic analysis. Findings show that there is an asymmetry in the dependency between school science and mathematics: science is dependent on mathematics but the reverse is not true. We discuss three consequences of this asymmetric dependency: there is greater benefit for science from any collaboration; ‘maths blame’ can arise from science teacher frustration; and science educators may believe they should have some ownership of the mathematics curriculum. Asymmetry of dependency, and therefore of benefit, will make it very difficult for mathematics and science to work together in a way which is genuinely mutually beneficial.  相似文献   

16.
This paper focuses on memory, not as a school subject with which it is still associated for many learners, but as one in which school is the subject and where the question ‘what are some of your earliest memories of playing school?’ can serve as an autobiographical prompt. In what ways do we continue to ‘play out’ early experiences of school long after we begin our teaching careers? What significance should we attach to not remembering? How can early memories of school, of teachers and of particular episodes of playing school become part of what bell hooks describes as ‘the usable past'? (hooks, 1984, Feminist Theory: from margin to centre, South End Press).  相似文献   

17.
The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so—the so-called ‘whys’ and ‘hows’. More precisely, the ‘whys’ are divided into the two categories of ‘philosophy as a tool’ for teaching and learning mathematics, and ‘philosophy as a goal’, referring to a stance of considering it a purpose in itself to teach students certain aspects regarding the philosophy of mathematics. A division of the ‘hows’ into three different categories is offered: illumination approaches; modules approaches; and philosophy-based approaches. A major part of the article is spent on providing illustrative exemplifications of each of these approaches by referring to already implemented uses of philosophy of mathematics in mathematics education as well as by suggesting new ones.  相似文献   

18.
Mathematical tasks and tools, including tasks in the form of digital tools, are key resources in mathematics teaching and in mathematics teacher education. Even so, the ‘design’ of mathematical tasks is perceived in different ways: sometimes seen as something distinct from the teaching and learning process, and sometimes as integral to it. Whilst task design has often been carried out by designers or mathematicians (perhaps as textbook authors), the focus for this review article is research that has involved mathematics teachers as partners in the design of tasks. The article provides a state-of-the-art review of relevant literature and is presented under three headings that consider, in turn, the role of mathematical ‘tasks’; the nature of ‘task design’; and the notion of ‘partnerships for task design’ in mathematics education. Subsequently, we present current research that is providing new insights into tasks, task design, and task design partnership. Based on this, we argue that ‘task design’ needs to pay particular attention to what to design, which tools are necessary or beneficial, and under what conditions; digital tools and task resources offer particular affordances that traditional resources cannot provide; and not only do teachers benefit from being partners in task design (in terms of their professional learning) but without their involvement some aspects of task design would most likely be neglected.  相似文献   

19.
This paper examines David Bakhurst's attempt to provide a picture of ‘the kinds of beings we are’ that is ‘more realistic’ than rationalism. I argue that there is much that is rich and compelling in Bakhurst's account. Yet I also question whether there are ways in which it could be taken further. I introduce the discussion by exploring Bakhurst's engagement with phenomenology and, more specifically, Hubert Dreyfus—who enters Bakhurst's horizon on account of his inheritance of the philosophy of John McDowell. Whilst I recognise that Bakhurst's encounter with Dreyfus demonstrates his achievements—over rationalism and over Dreyfus—I also suggest that it opens up certain questions that remain to be asked of his position on account of its conceptualism. These questions originate, not from a Dreyfusian phenomenological perspective, but from the post‐phenomenological perspective of Jacques Derrida. Through appealing to key Derridean tropes, I aim to show why the conceptual idiom Bakhurst retains may hold us back from understanding the open nature of human thought. I end by considering what therefore needs to come—and what needs to be let go—in order to best do justice to the ‘kinds of beings we are’.  相似文献   

20.
This article explores the possibility that ‘dyslexics’ can be thought of as being ‘othered’ and defined by the social norms and educational practices surrounding literacy; which can be termed ‘Lexism’. As such the author, Craig Collinson, a postgraduate academic support officer at Edge Hill University, presents ‘Lexism’ as a new concept that allows us to reconsider how dyslexics can be said to exist. In a persuasive and original article, Craig argues that dyslexics can be defined by the existence of Lexism rather than the more problematic concept of ‘dyslexia’. He seeks to achieve these ends through a series of thought experiments which suggest a different way of looking at what defines someone as dyslexic in order to suggest that when we talk of the inclusion or exclusion of dyslexic pupils we should be aware of the influence Lexism may have upon us.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号