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1.
A. G. Howson 《Educational Studies in Mathematics》1980,11(3):285-299
A recent book by Frank Swetz and others has postulated the existence of the phenomenon socialist mathematics education. In this paper we consider critically Swet's arguments and assertions and suggest an alternative methodology whereby one might attempt to describe socialist mathematics education. 相似文献
2.
K. Hart 《Educational Studies in Mathematics》1981,12(2):205-218
In mathematics education literature the term hierarchy is used in a number of ways. It is important that the mathematics educator consider the usefulness of the hierarchies presented by various researchers and theorists, in the light of their application to teaching. Current works on mathematical learning hierarchies are illustrated and in particular the work of the mathematics team of the research project Concepts in Secondary Mathematics and Science is examined. 相似文献
3.
Shlomo Vinner 《Educational Studies in Mathematics》1997,34(2):97-129
This paper suggests a theoretical framework to deal with some well known phenomena in mathematical behavior. Assuming that the notions conceptual and analytical are clear enough in the domain of mathematical thinking, the notions pseudo-conceptual and pseudo-analytical are proposed and explained. Examples from mathematics classrooms, mathematics exams, and homework assignments are analyzed and discussed within the proposed theoretical framework.The notions pseudo-conceptual and pseudo-analytical proposed in this paper, actually narrow the extension of the notion cognitive by restricting it to the domain of meaningful contexts. Analysis of meaningless behaviors, it is claimed, requires a different theoretical framework. The attempt to analyze meaningless behaviors in the same way as meaningful behaviors is called here the cognitive approach fallacy. 相似文献
4.
This paper problematises confidence as a frequently used explanation for performance in the mathematics classroom. I report on an interview-based study of how some English Advanced level (16+) students who have chosen to study mathematics, and their teachers, speak about confidence with respect to the learning of mathematics. I outline what constitutes confident learners for these teachers and, differently, for their students and what the students feel teachers could do to improve the students confident state. I discuss the implications of this for the education of prospective teachers of mathematics. 相似文献
5.
Much has been made about the difficulties students have in transferring their learning from one context to another. We suggest that students learning from examples use imitation, a subtype of analogical problem solving (APS). Whereas APS involves manipulating a mental representation, imitation involves mapping the surface features of a source example to a target problem and no assumptions are made about what a student knows. Often imitating a close variant of a source problem is likely to be relatively successful; however, trying to solve a distant variant by imitating an example creates difficulties in mapping values and adapting the source example to the target. In this paper we argue that some students' inability to transfer their learning is very often due to the teaching material rather than any failure on the part of the student. To this end, we have developed an interpretation theory based on the proportional analogy framework (a:b::c:d) which can be applied to text analysis. The theory is demonstrated using examples taken mainly from computer programming textbooks. 相似文献
6.
M. A. Clements 《Educational Studies in Mathematics》1980,11(1):1-21
Methods developed by Newman and Casey for analyzing errors made by children attempting verbal arithmetic problems are described, with particular emphasis being given to Newman's hierarchy of error causes. Data obtained by Newman, Casey, and Clements are presented. These show that a large proportion of errors made by children in grades 5–7 in Victoria on verbal arithmetic problems are in the Newman categories Comprehension, Transformation, Process Skills, and Carelessness. 相似文献
7.
Ruth Neumann 《Higher Education》1993,25(2):97-110
This paper reports selected findings from the first stage of a study on the research role within academic work in Australian universities. These findings come from the interview component of the study and discuss the perceptions that senior academic administrators hold on research and scholarship. The analysis of the interviews indicates that research covers a wide and varied range of activities across the disciplines found in a university and therefore needs to be defined broadly. However, research has three major attributes: new knowledge, enquiry and publication of results and views. Scholarship was perceived to be part of the research process, providing the context for good research by adding the element of breadth to the depth of research. In addition, scholarship describes the manner of pursuing a serious, sustained line of enquiry as well as the dissemination process. 相似文献
8.
Participation, Knowledge and Beliefs: A Community Perspective on Mathematics Learning 总被引：1，自引：0，他引：1
Jo Boaler 《Educational Studies in Mathematics》1999,40(3):259-281
In this paper I illustrate the use of a particular situated method of interpretation in my analysis of the data from 3-year case studies of two schools. The constraints and affordances provided by different environments are shown to be key analytical tools in understanding the ways in which students develop and make use of knowledge. Various classroom incidents are analysed, demonstrating that the particular constraints and affordances of formalised mathematics classrooms, to which students become attuned, contribute to the development of learning identities that are peculiar to the school mathematics classroom and of limited use to students in the real world. An understanding of the mathematics classroom as a particular community of practice is central to this analysis.This revised version was published online in September 2005 with corrections to the Cover Date. 相似文献
9.
Michael Poole 《Science & Education》1996,5(2):165-174
Mahner and Bunge argue that (1) science and religion are incompatible, in order to develop their thesis, that (2) a religious education ... is an obstacle to the development of a scientific mentality, and that therefore we should only teach our children (3) how science explains the existence of religion in historical, biological, psychological and sociological terms, and that (4) religious education should be kept away from public schools ... I offer brief comments on each of these strands of their argument. Religionists, to use Mahner and Bunge's term, generally come from a specific stance so I shall make it clear, from the outset, that these remarks come from a Christian standpoint, even though many of them are much more widely applicable. Although I agree with some of the observations which Mahner and Bunge make, my conclusions are generally opposite to theirs on each of the four points. 相似文献
10.
Erich Wittmann 《Educational Studies in Mathematics》1980,11(4):383-392
The paper investigates conceptual relationships between the Continuous and the Discrete. Differentiation, integration and the fundamental theorem of calculus are based on corresponding operators and a corresponding theorem with functions on finite domains (discrete functions). The final section discusses the possibilities for introducing elements of a discrete analysis into the mathematics curriculum. 相似文献
11.
Ana Vasquez Michelle B. Proux 《International Review of Education/Internationale Zeitschrift für Erziehungswissenschaft/Revue internationale l'éducation》1984,30(2):155-170
Résumé Les difficultés scolaires éprouvées par les élèves immigrés ont été généralement étudiées en mettant l'accent sur leurs carences ou sur les stratégies d'adaptation dont ils se servent. Le travail qu'on présente ici vise à renverser cette optique — en inserant cette problématique dans le cadre théorique de la Transculturation, et en étudiant la façon dont ces élèves perçoivent l'institution scolaire.Une étude de l'énonciation porte sur 101 entretiens dans la langue d'origine, avec des sujets hispanophones et lusitanophones, garçons et filles, âgés de 10 à 17 dans.Sur la base d'une analyse statistique informatisée on a établi des indices visant à saisir (a) les rapports chercheur/sujet dans l'entretien; (b) les liens qui rattachent l'individu à son groupe (moi — nous); (c) sa perception de l'autre; et (d) la façon dont il se situe par rapport à son expérience (assumée ou subie, actant ou acté). Des mots-clé illustrent et soulignent les difficultés éprouvées par ces sujets et par l'institution scolaire pour appréhender les normes temporelles comme un modelage culturel et en saisir leur relativité.
The difficulties of immigrant children at school have generally been studied with the emphasis either on their deficiencies or on the schemes which they devise to enable them to adapt. The study which is presented here, however, aims at a radically different approach by viewing the problem within the theoretical framework of transculturation and by examining the way in which the pupils themselves perceive the French school system.A study is made of the outcome of 101 interviews which were conducted in their mother tongue with Spanish- or Portuguese-speaking boys and girls aged between 10 and 17 years old.On the basis of statistical analysis by computer, indices were formulated with the intention of establishing (a) the relationship between the researcher and the subject during the interview; (b) the links between the subject as an individual and his/her peer-group (me — us); (c) his/her perception of others; and (d) the way in which he/she relates to his/her experience (as something to be positively accepted — or to be suffered; active or passive). Keywords illustrate and underline the difficulties encountered both by pupils and by the school to grasp the idea of time norms as a cultural shaping and to perceive how relative they are.
Zusammenfassung Die schulischen Schwierigkeiten von Einwandererkindern sind allgemein entweder mit Schwerpunkt auf ihren Unzulänglichkeiten oder auf den von ihnen gewählten Anpassungsstrategien untersucht worden. In der vorliegenden Untersuchung jedoch wird ein radikal anderer Ansatz beabsichtigt, indem das Problem innerhalb eines theoretischen Bezugsrahmens der Transkulturation betrachtet und indem die Art und Weise geprüft wird, die die Schüler selbst dem französischen Schulsystem gegenüber empfinden.Die Studie wurde aufgrund von 101 Interviews von in ihrer Muttersprache spanisch- und portugiesisch-sprechenden Jungen und Mädchen im Alter von 10 bis 17 Jahren erstellt.Auf der Grundlage statistischer computergestützter Analyse, wurden Indices mit der Absicht formuliert, folgendes nachzuweisen: (a) die Beziehung zwischen dem wissenschaftlichen Befrager und dem Befragten während des Interviews; (b) die Verbindungen zwischen dem Befragten als einem Individuum zu seiner/ihrer Gruppe von Gleichaltrigen (ich — uns); (c) seine/ihre Wahrnehmung der Anderen; und (d) die Art und Weise auf der er/sie sich in Beziehung zu seiner/ihrer Erfahrung sieht (als etwas, das als positiv erleb wird, oder an dem man leitet; aktiv oder passiv). Schlüsselworte veranschaulichen und unterstreichen die Schwierigkeiten, auf die sowohl die Schüler als auch die Schule stossen, um die Vorstellung der Zeitnormen als Kulturform zu begreifen, und um ihre Relativität zu empfinden.相似文献
12.
Swedish universities are required to change towards more effective self-regulation as the government has recently reduced state steering and devolved further responsibilities to them. In this paper, self-regulation is related to the concept of autonomy, a concept which is analysed on the two dimensions of purpose and authority, resulting in four models of state governance and consequently in a different space of action for the institutions. However, in order to develop self-regulation, the space granted must also be used effectively to realise autonomy. Six Swedish higher education institutions are analysed concerning how they have used their new space of action and what restrictions they have met in their efforts for self-regulation. 相似文献
13.
Paulus Gerdes 《Educational Studies in Mathematics》1988,19(2):137-162
This article confronts a widespread prejudice about mathematical knowledge, that mathematics is culture-free, by demonstrating alternative constructions of euclidean geometrical ideas developed from the traditional culture of Mozambique. As well as establishing the educational power of these constructions, the article illustrates the methodology of cultural conscientialization in the context of teacher training. 相似文献
14.
Peter L. Jones 《Educational Studies in Mathematics》1982,13(3):269-287
An investigation into the development of the understanding of the relational terms more and less when used in a mathematical setting is described for two distinet groups of children. The first is a group of Papua New Guinean children attending government schools in Papua New Guinea; English isthe second language for these children. The second is a group of expatriate children attending international primary schools in Papua New Guinea. English is the first language for these children. The language of instruction in both school systems is English. In all, 376 Papua New Guinean children in grades 2, 4, 6, 8 and 10, and 255 expatriate children in grades 2, 4, and 6 were given a test in which the words more and less were used in different contexts. Although analysis of errors suggested that Papua New Guinean and expatriate children tended to make qualitatively similar errors, substantial differences were found in the grade levels by which class mastery of a given meaning could be assumed, with the Papua New Guinean children lagging from 2 to 4 years behind their expatriate contemporaties. This difference appears to have serious educational implications for the learning of elementary mathematics in Papua New Guinea. 相似文献
15.
W. A. Suchting 《Science & Education》1995,4(1):1-22
Scientific thought is regarded here as both a type of goal-directed behaviour (practice) and its product, and the question of its nature posed in terms of that goal and of means appropriate for achieving it, preferably with regard to an existing paradigm (exemplar) such as the Galilean-Newtonian. Empiricism, a widely received view of the nature of science, is examined and rejected, as is the general idea that scientific thought has philosophical foundations. The question of the actual or possible scientific status of the human sciences is raised and some methodological guidelines for an answer to it suggested.This paper is a version of one commissioned for the forthcoming International Handbook of Science Education edited by Ken Tobin and Barry Fraser (Kluwer Academic Publications). Thus it deals in a condensed way with wide-ranging and complex matters that would ordinarily be treated separately and at greater length. (Editor) 相似文献
16.
Ken Kawasaki 《Science & Education》1996,5(1):1-20
Using structural linguistics, the present article offers an impartial frame of reference to analyze science education in the non-Western world. In Japan, science education has been free from epistemological reflection because Japan regards science only as effective technology for modernization. By not taking account of the world-view aspect of science, Japan can treat science as not self-referential. Issues of science education are then rather simple; they are only concerned with the question of how to, and answers to this question are judged according to the efficiency achieved for modernization.Science, however, is a way of seeing nature. This word is generally translated into Japanese as shizen which has a totally different connotation and therefore does not lead to an understanding of the Western scientific spirit. Saussure's approach to language is used to expose the consequences of the misinterpretations that spring from this situation. In order to minimize or prevent these misinterpretations, it is emphasized that science education should be identified with foreign language education in the non-Western world. 相似文献
17.
Representations such as formal notations and diagrams routinely figure in students' learning of mathematics and science. However, in light of the extensive research on students' misunderstanding in these subject matters, it is reasonable to ask whether other kinds of representations might help students to reach better understandings. Indeed, a number of educators have developed innovative representations, typically on computers, that supposedly foster understanding through suggestive visual analogies and microworlds to manipulate. Evaluative research on these new look representations as we call them suggests that they indeed can help students to understand.In this review, we focus on exactlyhow these representations aid understanding. We propose that they do so by facilitating the learner's construction of explanations, justifications, predictions, and the like. These constructions require search in problem spaces, in the sense of Newell and Simon (1972). The representations in question reduce the cognitive load of such searches, clarify the structure of the problem spaces that need to be searched, and make certain moves in the problem spaces more immediate. We invoke Gentner's (1983) theory of structure mapping to explain how these advantages are attained. We also examine several characteristic pitfalls of representations in this style. 相似文献
18.
Karl Heinz Gruber 《Higher Education》1991,21(4):607-619
Despite significant expansion in participation over the last three decades, Austrian higher education has been slow to change either its elitist self-concept or structure. But, as is the case elsewhere, the Austrian academic community is beginning to be confronted with such concepts as efficiency, strategic planning, deregulation, and performance evaluation. Inadequate admission policies, extreme overcrowding, and high dropout rates are but three factors placing pressure on Austrian higher education to reform. The system is not only in need of increased budget allocations, but also requires new policies to guide it into the 21st Century. 相似文献
19.
David J. Corson 《International Review of Education/Internationale Zeitschrift für Erziehungswissenschaft/Revue internationale l'éducation》1985,31(1):283-302
By integrating aspects of a philosophy of work and a sociology of work, this article draws conclusions relevant to framing a theory of vocational education. Education for work is accepted in this paper as the common central meaning of the term vocational education. The two concepts, education and work, are first examined separately: work is seen to include recreational and occupational work, while occupational work is seen to fall on a continuum ranging from constrained to unconstrained occupational work. Education and training are distinguished. After a discussion of the conceptual links which might be drawn between education and work, recommendations are made about the aims, the place, and the curriculum of vocational education within the general institution of education.
Zusammenfassung Durch die Integration von Aspekten einer Philosophie der Arbeit und einer Soziologie der Arbeit kommt der Verfasser dieses Artikels zu Schlußfolgerungen, die eine Theorie der Berufsbildung entwickeln. Bildung für die Arbeit wird in diesem Artikel als die allgemeine, zentrale Bedeutung des Begriffes Berufsbildung verstanden. Die beiden Begriffe Erziehung, und Arbeit werden zunächst einzeln untersucht: Arbeit umfaßt hier Freizeit- und Berufsarbeit; Berufsarbeit ist ein Kontinuum von mehr oder weniger vorgegebener Tätigkeit. Es wird zwischen Bildung und Ausbildung unterschieden. Im Anschluß an eine Diskussion über begriffliche Gemeinsamkeiten zwischen Erziehung und Arbeit werden Vorschläge über Ziele, Einordnung und Curriculum der Berufsbildung innerhalb des allgemeinen Systems der Erziehung unterbreitet.
Résumé En intégrant des aspects d'une philosophie et d'une sociologie du travail, cet article tire des conclusions pertinentes pour l'élaboration d'une théorie de l'éducation professionnelle. L'éducation pour le travail est prise dans cet article au sens commun central du terme éducation professionnelle. Tout d'abord, on examine séparément les deux concepts éducation et travail: on considère que le travail inclut les occupations récréatives et professionnelles alors que le travail professionnel est vu en tant qu'un continuum allant du travail professionnel contraint au travail non contraint. On distingue l'éducation de la formation. Après une discussion sur les liens conceptuels qui pourraient être établis entre l'éducation et le travail, des recommandations sont faites sur les objectifs, la place et le contenu de l'éducation professionnelle au sein de l'institution générale de l'éducation.相似文献
20.
Fred Goffree 《Educational Studies in Mathematics》1993,25(1-2):21-49
First an impression will be given of the way Freudenthal worked on mathematics education during the period after WW II, until the early seventies. The sequence of events of that time form the leading principle of that period when important didactic concepts were being developed. In the following section the chronological order is set aside in an attempt to show how Freudenthal approached research, both in education and into mathematics education. In the next two sections two core themes are dealt with in detail: learning mathematics and developing mathematics education. Earlier didactic concepts are completed and further developed into key notions of a science of mathematics instruction. 相似文献