Different aspects in designing mathematics education: Three examples from the Freudenthal Institute

Three teaching designs are offered. They were developed for 12 to 16 year old pupils taking into account their personal differences in terms of gender (in Making Up the Cube), culture (in Mecca), knowledge, and use of calculators in The integrating calculator. The designs concern the representation of three-dimensional objects in the plane, directions and great circles on the sphere, and exploration of the integrating calculator.     

The effects of educational reform on the content and status of the social subjects in England and wales and the USA: A case study

Over the past decade educational reform has been taking place in the USA and in England and Wales. This paper traces the political pressures to change the social subjects curriculum on both sides of the Atlantic. In England and Wales the new National Curriculum aims to raise educational standards and to increase accountability through a national assessment system. In the USA the Federal Government has set to work on establishing national goals. There is evidence in both countries that the new curricula are emerging from a political process which imposes content and structures upon teachers with little consultation. The paper concentrates on how the social studies curriculum has been affected in this process. It explores the politics of curricular reform by comparing events in the USA and England and Wales and outlines the ways, particularly in the British context, in which the teaching profession has explored the limits of its power and has fought back against central control to make its voice heard.

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Zusammenfassung In den letzten zehn Jahren gab es eine Bildungsreform in den USA, sowie in England und Wales. Dieser Bericht studiert den politischen Druck, der zu einer Änderung des Curriculums in den Sozialfächern auf beiden Seiten des Atlantiks geführt hat. In England und Wales soll das neue nationale Curriculum den Bildungsstandard anheben und die Verantwortlichkeit durch ein nationales Bewertungssystem steigern. In den USA begann die Bundesregierung mit der Festsetzung nationaler Ziele, die den Lehrern Inhalte und Strukturen mit wenig Mitbestimmungsrecht auferlegt. Der Artikel konzentriert sich auf die Auswirkungen dieses Prozesses auf das Curriculum der Sozialstudien. Er untersucht die Politik der Curriculums-Reform, in dem Ereignisse in den USA, England und Wales verglichen werden. Insbesondere im britischen Kontext werden Wege aufgezeigt, auf denen der Lehrberuf die Grenzen seiner Macht erforscht und sich gegen eine zentrale Kontrolle gewehrt hat, um Aufmerksamkeit auf sich zu ziehen.

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Resumen Durante la última década se ha realizado una reforma de la educación en los EEUU, Inglaterra y Gales. Este trabajo esboza las presiones políticas de cambiar los planes de estudio de los sujetos sociales a ambos lados de Atlántico. En Inglaterra y Gales, elNew National Curriculum aspira a crear estándares de la educación y a incrementar la responsabilidad a través de un sistema nacional de valoración. En los EEUU, el Gobierno Federal ha comenzado a trabajar en la fijación de objetivos nacionales. Es evidente que en ambos países los nuevos planes de estudios están emergiendo de un proceso político que impone contenidos y estructuras a los maestros, consultándolos poco o nada. El trabajo se concentra en el impacto que ha sufrido el curriculo de estudios sociales en este proceso. Explora la política de la reforma curricular comparando acontecimientos de los EE UU y de Inglaterra y Gales y proporciona una idea general de los modos, particularmente en el contexto británico, en los que la profesión de enseñanza ha explorado los límites du su poder y se ha defendido contra el control central para hacerse escuchar.

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Résumé Au cours de la dernière décennie, une réforme éducative a été engagée aux Etats-Unis, en Angleterre et au pays de Galles. Cet article retrace les pressions politigues qui ont été exercées pour remanier les thèmes sociaux dans les programmes des deux côtés de l'Atlantique. En Angleterre et au pays de Galles, le nouveau curriculum national a pour but d'élever les niveaux de l'enseignement et d'augmenter la responsabilité par un système national d'évaluation. Aux Etats-Unis, le gouvernement fédéral a entrepris d'établir des objectifs nationaux. Il est évident que dans les deux pays, les nouveaux programmes sont nés d'un processus politique qui a imposé aux enseignants des contenus et des structures en les consultant à peine. L'article se concentre sur les retombées de ce processus sur les programmes d'études sociales. Il étudie la politique de la réforme curriculaire en comparant les événements intervenus aux Etats-Unis et en Angleterre-pays de Galles et souligne, en particulier dans le contexte britannique, la façon dont le corps enseignant a épuisé les limites de son pouvoir et a résisté au contrôle central pour se faire entendre.

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Higher education as a political issue area: A comparative view of France,Sweden and the United Kingdom

The common view in the literature on higher education in Western Europe is that the issue area has increasingly become enmeshed with national politics in recent decades. This article examines the extent to which this is true of France, Sweden and the United Kingdom. Six indicators of issueness, corresponding to important political actors/arenas, are used to identify temporal and cross-national patterns. It is argued that although it is evidently true that a politicization has occurred it may easily be overstated. Higher education remains a relatively minor concern in the national politics of the three countries. Only in exceptional circumstances, such as in France in 1968, is this pattern of subsystem politics replaced by a pattern of macropolitics. The analysis furthermore suggests the considerable variation in patterns of issueness which may exist between different national contexts.This article was written while the author was visiting with the Higher Education Research Group, Institution for Social and Policy Studies, Yale University. He is indebted to the members of the Group for their helpful comments on an earlier version.     

Education and the Contested Meanings of ‘Global Citizenship’

This article examines the oftentaken-for-granted educational policy and curricular discourses of globalization and global citizenship within their larger cultural, political, and economically uneven histories and unequal consequences. Drawing upon evidence from recent scholarship on the implications for classroom pedagogy embodied inefforts to internationalize curricula in the North American university contexts, as well as specific related efforts in one Canadian context, the University of British Columbia,this article unpacks the contested meanings of global citizenship from above and below.The author analyzes three dominant curricular discourses of global citizenship. Far from weakening the Canadian state and building instances of transnational democratic educational communities, these dominant discourses may actually reinforce notions of Canadian gendered and racialized nation-building and nationalism. The article raises questions about what an alternative curricular and educational policy discourse from below premised upon efforts to decolonize curricula might look like. By way of provisional conclusion, the author discusses some promising examples of such an alternative,showing how they depend on seeing the relations between the local and global neither as fixed abstractions nor as a slogan system to be applied in absolutist racial, geographical,national, or culturally essentialist terms.     

The American mixture of higher education in perspective: four dimensions

Several nations are currently considering privatization of parts of their higher education systems. This paper, mainly based on the American experience, examines privatizing public institutions as an alternative to establishing solely private institutions.Institutions are analyzed along four dimensions: (1) ownership (public or private); (2) control (external or internal); (3) financing (public or private funds); and (4) mechanisms for public financing (who controls fund distribution and how). There are varying mixtures along these four dimensions both within countries and around the world, with the American system exhibiting the widest range of combinations. Six categories are described, including four common in the U.S.: I. Independent private, where institutions are independent in ownership, in control, and in basic financing; II. Dependent private, independent in ownership and financing but dependent in control; III. Independent public, dependent in ownership but independent in control and substantially independent in financing; IV. Semi-independent public (state/guild type), dependent in ownership, mixed in control, and heavily dependent in financing (less common in the U.S., but typical of Italy and Latin America); V. Semi-independent public (state/trustee/guild type), where control is shared among state, academic guilds and lay boards of trustees but with mainly state-controlled financing; and VI. Dependent public, the model in the Communist nations.Kerr traces the historical path that led to the mixed American system and examines some of its positive consequences, which include institutional autonomy, diversity, and flexibility. Negative results include possible over-responsiveness to short-term pressures, as from the labor market or student preferences for courses of study, and from supporting business or industry.The author concludes that the American experience with privatized public institutions may serve as a model for those elsewhere who now seek greater institutional differentiation, autonomy, and flexibility within national systems of higher education.     

Books and babies

One of the most satisfying forms of verbal communication between child and adult is that magical moment of being read to. Read me a story is the preschooler's frequent refrain, and even the youngest toddler will manage self and book into the cozy lap of a willing adult.Reprinted by permission of the publisher from Nuba-Scheffler, Hannah, Sheiman, Deborah Lovitky, & Watkins, Kathleen Pullan, INFANCY: A GUIDE TO RESEARCH & RESOURCES. (New York: Teachers College Press, © 1986 by Hannah Nuba-Scheffler, Deborah Lovitky Sheiman, & Kathleen Pullan Watkins. All rights reserved.), pp. 143–154.     

Equity issues in local resourcing of education: Community financing of primary schools in Bhutan

Community financing is an important source of supplementary funds for education, particularly where governments are unable to meet all the needs of their peoples. While this is widely recognised, little empirical research has been conducted on the topic. This paper analyses patterns in Bhutan. It observes that until the 1990s few resources for education were provided by communities, but that the scale of financing has increased during the present decade. The paper notes that although communities have in general responded positively to government calls for local inputs, local resourcing has some problematic aspects. The paper focuses particularly on issues of regional, rural/urban and socio-economic equity, and shows how discussion of Bhutanese experiences contributes to the international literature.

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Zusammenfassung Finanzierungen über die Gemeinde sind eine wichtige Quelle der Bezuschussung von Bildung, besonders dort, wo Regierungen nicht in der Lage sind, den Bedürfnissen der Bevölkerung gerecht zu werden. Obwohl dies weitreichend bekannt ist, gibt es kaum empirische Studien zu diesem Thema. Dieser Artikel befaßt sich mit der Situation in Bhutan. Es wird festgestellt, daß die Gemeinden bis zu den 90ern kaum Gelder für die Bildung zur Verfügung stellten, daß aber der Rahmen der Finanzierung in diesem Jahrzehnt gestiegen ist. Der Autor beschreibt, daß trotz einer allgemein positiven Antwort seitens der Gemeinden auf Forderungen der Regierung nach lokalen Finanzbeiträgen, Probleme hinsichtlich lokaler Finanzierungen bestehen. Insbesondere befaßt sich der Artikel mit Themen über regionale, ländliche und städtische und sozialökonomische Gleichheit und zeigt, wie die Diskussion über die Erfahrungen in Bhutan zur internationalen Literatur beiträgt.

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Resumen La financiación a través de la comunidad es una fuente importante de recursos adicionales para la educación, particularmente allí donde los gobiernos son incapaces de satisfacer todas las necesidades de sus habitantes. Si bien este es un hecho ampliamente conocido, existen muy pocos estudios empíricos sobre este tema. El trabajo analiza los modelos existentes en Bhután y observa que hasta los años noventa, eran pocos los recursos financieros provistos por las comunidades, mientras que durante la década actual han aumentado estos niveles de financiación. El estudio observa que, a pesar de que las comunidades, en general, han respondido de forma positiva a las llamadas del gobierno a realizar inversiones locales, la creación de recursos locales tiene algunos aspectos problemáticos. El trabajo se concentra particularmente en problemas de equidad regional, rural/urbana y socioeconómica, demostrando cómo la discusión sobre experiencias bhutanesas presta su aporte a la literatura internacional.

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Résumé Le financement communautaire représente une source importante de fonds supplémentaires pour l'éducation, en particulier quand le gouvernement ne peut répondre à tous les besoins de la population. Bien que ce fait soit largement reconnu, il n'existe que peu de recherche empirique sur le sujet. Cet article analyse différents modèles existant au Bhoutan. Il constate tout d'abord que jusque dans les années 90, les communautés ne fournissaient qu'une faible partie des ressources de l'éducation, mais que cette forme de financement a augmenté au cours de la dernière décennie. Il relève également qu'en dépit de la réaction généralement positive de la part des communautés envers l'incitation du gouvernement à un financement local, ce modèle présente néanmoins des difficultés. L'article se concentre d'autre part sur les questions d'équitabilité entre régions, entre villes et provinces et entre niveaux socioéconomiques, et révèle que la discussion sur les expériences du Bhoutan contribue à enrichir la littérature internationale.

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Strategies for enhancing learning in the “blow-off” course

Lower division courses are typically perceived by students as blow-off courses. We can overcome this image. This paper contrasts active and passivelearning environments, and describes efforts to create an active, critical learning environment in both Introduction to Sociology and The Family System-typical lower division courses in Sociology. A review of grade distributions, quantitative course evaluations, qualitative course evaluations, and a survey asking students to subjectively compare the active learning course structure to the typical multiple choice format provide evaluation data. Finally, the paper discusses problems in using these innovations.Randy Stoecker recently received a Ph.D. in Sociology from the University of Minnesota, and has been exploring alternative pedagogies since 1982. He has published in the areas of social theory and social movements. An earlier version of this paper was presented at the Midwest Sociological Society Annual Meetings, Minneapolis, Minnesota, 1988. Many thanks for insightful comments by Tuck Green, Ron Berger, and an anonymousInnovative Higher Education referee.     

The applicability of democratic principles and the mission of the university

The university's mission of serving as a fortress for freedom of speech, inquiry, and criticism of established truths is inextricably connected with democracy. Such a mission can be pursued only in a climate of genuine political and academic freedom. Three other aspects of democracy in the university are discussed: equality of access, university governance, and the public utility of the university. It is argued that equal representation or one man one vote cannot be applied in university governance because it comes into conflict with the notion of competence—a conflict that cannot be resolved by taking votes. Interest groups inside and outside of the university cannot be allowed to interfere with the free pursuit of knowledge. The internal audit, that is, peer review (by, ultimately, the international community of scholars) has to take precedence over vertical review by government bureaucracy.     

Some new approaches to research and development funding

Some new approaches to research and development funding, adopted by the United Kingdom's National Development Programme in Computer Assisted Learning are described. The five-year, £2.5 million National Programme, sponsored by seven Government departments, was set up in 1973 at a time of widespread concern about government R & D funding. The funding strategy of the Programme is described in the hope that it might apply to the funding of other educational innovations. Four unusual features are discussed in detail, the aim of the Programme; the role of the Programme directorate in cooperative funding; the approach to evaluation; and the emphasis on project management.The main aim of the Programme, from which all other policy and management decisions derived, was the institutionalisation of innovation. The Programme directorate, by contrast to the central staff of research councils, was active and interventive in the formulation of policy, the design and selection of projects, and their evaluation. A cooperative approach to funding was adopted which permitted projects to combine national and local interests, in an effort to avoid the over-centralisation of some of the large schools curriculum development projects in the UK and the USA, and the parochialism of some higher education research funding. A major evaluation device used in the National Programme was the midterm evaluation of projects. Projects were step-funded for one or two years in the first instance, with continued funding dependent on the outcome of the midterm evaluation. A further novel feature of the evaluation was the existence of independent educational and financial evaluation. Project management skills were considered important in the Programme, and various techniques were adopted, such as virement, to improve project management and control.     

Beauty and Character: Values Beyond Beauty in Architecture

Formalist conceptions of aesthetic goals began to give way from the 17^th century on to rationalist accounts of experience. Beauty as described as essential by Renaissance thinkers was reconceived as just one possibility, with the sublime in Burke's account as another. In the early 20^th century Clive Bell again asserted a formalist position with his argument for significant form. The weakness of the formality position, and the need for a richer, more contextual account of aesthetic goals and experience is argued with reference to the idea of thick and thin concepts as applied by Bernard Williams to ethics, Wittgenstein's attention to the way in which language is used in a specific context, and Scruton's emphasis on an informed conception of the object of aesthetic attention. Beauty, in Alberti's procedural account if not in his version of the Platonic ideal, can be seen to continue to have critical value. The idea of character, however, offers a broader range of possibilities for experience and of goals for design.     

Promoting prosocial behaviors through literature

Cathleen looked forward to visiting her older sister's nursery school. During the Thursday morning visit, Cathleen enthusiastically investigated blocks, sand, paints and a basket of toy trucks. As the visit drew to a close Cathleen's mother said: We've had a nice visit and now let's put away these toys, Cathleen. I'll put a truck in the basket and then you put one in. A few minutes later when the cleaning up was completed, Cathleen's mother hugged her and said, You're the best two-and-a-half-year-old helper in the world.Joan S. McMath teaches in the School of Curriculum and Instruction at Ohio University in Athens, OH.     

Experimental university classes and “the best that has been thought”

In the latest in a series of articles on experimental courses at Kent State University, the authors study how students perceive such classes in terms of a liberal arts cultural education versus a values oriented education. The results determine that subject matter interest was the prime motivation for students to enroll in experimental classes. The results also suggest an openness and variety of student interest that seems unaware of a liberal arts core of the best that has been thought.     

The relationship between attributes of a children's radio program and its appeal to listeners

An approach was developed to investigate the link between attributes of a children's radio program and children's judgments of appeal. Program tapes were divided into 28 segments and were rated for the presence of 30 attributes. Through multidimensional scaling analysis, attributes were organized into six clusters of Superattributes on the basis of their co-occurrence across the 28 segments. Superattributes were labeled and assigned scores that reflected the degree to which each was present in the 28 segments. A sample of 42 children 8–12 years old listened to the test tapes and provided a written judgment of their interest in the program at each segment. Results revealed that the Superattributes Instruction, Intro Talk, and Jokes were negatively associated with children's interest, while Popular Music was positively correlated with interest. In planning programs and understanding the effects of radio on children, designers and researchers should pay special attention to those formats in radio programming that are familiar to children, especially popular music and instructional material.     

Ghosts as rhetorical devices in children's fiction

The relationship of past and present and the linking of characters through time and place are themes that underlie the work of many writers for children. This article considers the use of the Ghost as a literary device to allow the exploration of what is, what has been, and what might have been, particularly in the 1973 Carnegie Medal Winner,The Ghost of Thomas Kempe, by Penelope Lively.Judith Armstrong was brought up in Lancashire. She has travelled widely, and taught young children in England and Ethiopia. She is currently working on themes associated with the supernatural in children's books.     

The curriculum potential of Darwin's Theory of Evolution

Unity and diversity are best reconciled by Darwin's Theory of Evolution. Two major dilemmas related to the study of Evolution are described. The first, concerning pedagogy, can be solved by teaching the topic at an elementary level in the middle school so that the Theory may serve as an advanced oragnizer and returning with in-depth study in the last two years of high school. The second, concerning Faith, is a sensitive issue. Some successful approaches are discussed. The place of Darwin's Theory in the all-elective high school biology curriculum is described as well. The role of the Theory regarding explanations is especially highlighted.     

Sociological theory and the analysis of strategies of educational redress

In this paper, three sociological models or theoretical templates for the analysis of social order are outlined: (a) the order-consensus model, (b) the conflict model and (c) interactionist models. The paper then discusses how each model can be applied to what is here called educational redress. Special reference is made to those redress strategies addressed to pre-school-age children-strategies customarily termed Compensatory Education Programmes. The paper goes on to show how proponents of each model would approach the analysis of such programmes, and how proponents of each model would criticize the other models' analyses. It is shown that the three sociological models are located in, and formalizations of, commonsense conceptions of social structure tacitly held by lay members of society, and that even professional educators typically do not make their model of society very explicit. Finally the paper upholds the belief that the above elements constitute what sociologists can add to the understanding of educational redress strategies.

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Zusammenfassung In diesem Artikel werden drei soziologische Modelle oder theoretische Schablonen für die Analyse der Sozialstruktur umrissen: (a) das Struktur-Konsens-Modell, (b) das Konfliktmodell und (c) das Wechselwirkungsmodell in seinen verschiedenen Varianten. Dann wird untersucht, wie jedes dieser Modelle auf den Bildungsausgleich angewandt werden kann, insbesondere auf die Ausgleichsstrategien für Kinder im Vorschulalter, die gewöhnlich mit Kompensierende Erziehungsprogramme bezeichnet werden. Anschliessend wird beschrieben, wie Protagonisten jedes dieser Modelle diese Programme analysieren und wie sie mit Hilfe der anderen Modelle vorgenommene Analysen kritisieren würden. Weiterhin wird ausgeführt, dass die drei Modelle Formalisierungen der unter Laiengruppen verbreiteten Vorstellungen von der Gesellschaftsordnung darstellen, und dass selbst Pädagogen ihr Gesellschaftsmodell gewöhnlich nicht klar definieren. Zum Schluss spricht der Verfasser seine Ansicht aus, dass die Soziologie durch die obigen Elemente zum Verständnis der Bildungsausgleich-Strategien beitragen kann.

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Résumé Dans ce rapport sont décrits trois modèles sociologiques ou échantillons theoriques pour l'analyse de l'ordre social: (a) le modèle ordre-consensus, (b) le modèle conflit et (c) les modèles interactionnistes. Le rapport examine ensuite comment pouvoir appliquer chaque modèle à ce qu'on appelle ici redressement éducatif. Sont mentionnés particulièrement les stratégies de redressement que l'on adresse aux stratégies pour enfants d'âge préscolaire, appelées habituellement Programmes d'éducation compensatoire. Le rapport montre ensuite comment les défenseurs de chaque modèle aborderaient l'analyse de ces programmes, et comment ils critiqueraient les analyses des autres modèles. On montre que les trois modèles sociologiques sont situés dans — et sont en fait des formalisations — des conceptions courantes de structure sociale qu'ont tacitement les membres laïques de la société, et que même les éducateurs professionnels ne rendent typiquement pas leur modèle de la société très explicite. Enfin, l'auteur est convaincu que les éléments susmentionnés constituent ce que les sociologues peuvent ajouter à la compréhension des stratégies de redressement éducatif.

     

Informal interaction and faculty projections of student ratings of the institutional climate

This study employed the Semantic Differential technique to investigate the relationship between informal interaction with students and the accuracy with which faculty members project students' perceptions of the institutional climate at two colleges of Arts and Sciences. When subdivided into nominal categories of high, moderate, and low interactors on the basis of their frequency of informal, out-of-class contacts with students, high interactors were found to project consistently more accurate student ratings of the climate on a bureaucracy factor than low interactors. A similar, though not consistent, relationship was found between high and low interactors on an intellectualism/scholarship dimension.     

“Did I mean what I said?” — A reply to McCormick

In this note, I argue that the distinction between what one says and what one means by it is no more problematic (and no less) than the equally important distinction between evidence and theory. Both, I suggest, take a particular form in literate discourse.     

The instructor self-evaluation form: Development and validation of an ipsative forced-choice measure of self-perceived faculty performance

An ipsative forced-choice college faculty self-evaluation questionnaire was developed. The instrument was validated by comparing self-evaluation scores to student rating scores and by comparing superior and nonsuperior instructors on the basis of student ratings. Both analyses yielded positive, but modest, indications of validity. Implications are discussed relative to the questionnaire's utility in faculty development activities.