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1.
An earlier research project, the Concepts in Secondary Mathematics and Science (Mathematics) project, identified both a hierarchy of levels of understanding in different areas of secondary mathematics, and a number of particular errors which were made by significant proportions of the children tested. Preliminary consideration of these errors and the strategies which appear to have given rise to them suggests that the use of informal naive methods which are limited in their applicability is widespread even at fourth-year level. The suggestion is made that there may be two systems of mathematics coexisting in the secondary school classroom: the formal taught system, and a system of child-methods which are based upon a counting, adding-on or building-up approach, and by which children attempt to solve mathematical problems within a human-sense framework. The difficulties which some children appear to experience in mathematics is suggested to be due in part to these children's non-initiation into the formal taught system. The implication of such a view for teaching and research are indicated.  相似文献   

2.
Research conducted in several countries has shown consistent patterns of performance on change, combine and compare word problems involving addition and subtraction. This paper interprets these findings within a theoretical framework that emphasizes the development of empirical, logical and mathematical knowledge.  相似文献   

3.
Education for work: Reflections towards a theory of vocational education   总被引:1,自引:0,他引:1  
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.
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4.
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   

5.
There is necessarily a loss of information when moving from a geometrical object to its drawing, but pupils (even sixth graders) frequently have the illusion that they can, thanks to a drawing sufficiently sophisticated and close to the object, make a representation of it in which there is no ambiguity at all.Similarly, when reading a drawing, they tend to regard the properties of the drawing as properties of the object itself. To illustrate this knowing vs seeing conflict, two examples, studied in three French sixth classes, are given: one of coding, the other of decoding a drawing. They show clearly that it is necessary, at high school level, to make the rules for drawing space geometrical figures explicit, these rules being not the concern of more or less hazy conventions, but of projective geometrical properties.  相似文献   

6.
It is a main contention of this paper that the history of science is not so much a story of the progressive advance in our understanding and discovery of the facts of nature, but rather, an account of different ways of seeing things; where the things thus seen are to a considerable extent themselves the result of realizational processes operating in terms of some theory or other. But further, such theories are in turn controlled by some respective methodology which has its history: with the latter itself a record of different views about those elements believed to be essential for any adequate constructionof scientific theories. The paper then distinguishes between three views, the rationalist, the empiricist, and the systemic processing of scientific facts; the last-named view operating under the guidance of certain leading maxims and principles. Finally, the paper formulates a triadic type of methodology whose three components mirror the three views just mentioned: the probative, the explicative and the systemic components; which in turn are then shown to generate three corresponding ontologies.  相似文献   

7.
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   

8.
Research and scholarship: Perceptions of senior academic administrators   总被引:2,自引:0,他引:2  
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   

9.
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   

10.
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   

11.
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   

12.
This paper analyzes the interpretations of equality and the equal symbol of the third-grade children who participated in a year long whole-class socio constructivist teaching experiment. These children initially interpreted the equal symbol as a command to perform an arithmetical operation; it was less natural to them to interpret it as a relational symbol to compare two quantities. By the end of the school year, children were able to conceptualize the quantitative sameness of two numerical expressions and describe it by using the phrase is the same as, the words equal or equals, or the symbols = or =s. These children expanded their conceptualizations of equality due to their active role in class discussions, the arithmetical tasks that took into account children's difficulties, and the teacher's intellectual sensitivity to strike a delicate balance between the force of teaching and the freedom of learning (Freudenthal, 1991, p. 55).  相似文献   

13.
This interpretive study examined the lived experiences of young college-educated Taiwanese women employed as clerical workers. Using hermeneutic phenomenology as the research methodology, the study explored the meanings of the participants lived experiences. Systematic text analysis of the data revealed various experiences and expectations. Experience themes identified in the study were: (a) bored and busy; and (b) disrespected and mistrusted. Major expectation themes revealed are: (a) career dreams and aspirations; and (b) desire for meaningful work. The study emphasised the importance of career development education in young Taiwanese women. The experiences of Taiwanese female clerical workers as recorded in the study reflected a need for career development, which might provide insightful information for career development scholars and practitioners.  相似文献   

14.
Hoare  Anthony G. 《Higher Education》1995,29(3):241-260
Taken in aggregate, bigger university departments did disproportionately well in the 1992 U.K. Higher Education Research Selectivity Exercise (RSE). A number of reasons are reviewed whereby such an economies of scale effect might apply both in general and with respect to the RSE. A methodology is developed whereby the RSE performance of the UK's universities across academic units can be attributed to size and non size components, the relative importance of which are then calculated for each of the old universities, paying attention to their independent designations as research and teaching institutions. Possible implications for academic planning by universities are drawn out.  相似文献   

15.
Interest in performance budgeting is growing despite a lack of research on its effectiveness. U.S. states have largely used incremental and formula budgeting processes to fund higher education. However, more than half of them are experimenting with some form of performance budgeting. There have been similar attempts to reform budget practices in the U.S. in the past, but most of these processes have been largely abandoned. Governmental performance budgeting for higher education assumes policy objectives are stable, complex decisions on budget trade-offs can be made at governmental levels on the basis of data, institutions operate as bureaucracies, resources can be linked to outcomes, outcomes are identifiable and can be agreed upon, accountability can be achieved through budget policies, and current practices create incentives to enrol unqualified students. These assumptions are not realistic. Consequently, performance budgeting will not meet proponents expectations and will suffer the fate of past budget fads.  相似文献   

16.
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   

17.
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   

18.
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.
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   

20.
An analysis of the contents of nine volumes of the International Journal for the Advancement of Counselling has been attempted in this article. The publications have been organized under fifteen headings. Two topics were analyzed more thoroughly: Theories and models of counselling and Country studies, presented by scholars of the countries studied.  相似文献   

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