The use of examples in expository texts: Outline of an interpretation theory for text analysis

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.     

Take-home video for adult literacy

In the past, it has not been possible to teach oneself to read at home, because learners could not read the books to teach them. Videos and interactive compact discs have changed that situation and challenge current assumptions of the pedagogy of literacy. This article describes an experimental adult literacy project using video technology. The language used is English, but the basic concepts apply to any alphabetic or syllabic writing system. A half-hour cartoon video can help adults and adolescents with learning difficulties. Computer-animated cartoon graphics are attractive to look at, and simplify complex material in a clear, lively way. This video technique is also proving useful for distance learners, children, and learners of English as a second language. Methods and principles are to be extended using interactive compact discs.

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Zusammenfassung In der Vergangenheit war es nicht möglich, sich selbst in Heimarbeit lesen beizubringen, da die Lernenden die Lehrbücher nicht lesen konnten. Videos und interaktive Compact discs haben diese Situation geändert und gegenwärtige Meinungen zur Pädagogik der Alphabetisierung herausgefordert. Dieser Artikel beschreibt ein experimentelles Erwachsenenalphabetisierungsprogramm, das Videotechnologie anwendet. Arbeitssprache ist Englisch, aber das Grundkonzept gilt für jedes alphabetische oder syllabische Schreibsystem. Ein halbstündiges Zeichentrickvideo soll Erwachsenen und Jugendlichen mit Lernschwierigkeiten helfen. Computeranimierte Zeichentrickgraphiken sind attraktive Lernmittel, die komplexes Material klar und lebendig vereinfachen. Diese Videotechnik dient auch Fernlerndenden, Kindern und Lernenden mit Englisch als Zweitsprache. Methoden und Prinzipien müssen durch den Gebrauch von interaktiven Compakt Discs erweitert werden.

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Resumen Durante el pasado, no ha sido posible el autoaprendizaje de la lectura en el hogar, ya que los lectores no estaban en condiciones de leer los libros de enseñanza. Ahora, los videos y los discos compactos interactivos cambiaron esta situación, creando un desafío para los conceptos corrientes de la pedagogía de alfabetización. Este artículo describe un proyecto experimental de alfabetización de adultos mediante el uso de tecnología de video. El lenguaje utilizado es el inglés, pero los conceptos básicos son aplicables para cualquier sistema de escritura alfabética o silábica. Un video de dibujos animados de media hora de duración puede ayudar a los adultos y adolescentes con dificultades de aprendizaje. Las gráficas animadas por computadora son atractivas para el espectador y simplifican materias complejas de un modo claro y ameno. Esta técnica de video también está mostrando su utilidad para el estudio a distancia, para la instrucción de niños y para el aprendizaje del inglés como segunda lengua. Los métodos y los principios también se pueden ampliar mediante la utilización de discos compactos interactivos.

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Résumé Jusqu'à présent, il n'était pas possible d'apprendre à lire seul chez soi, puisque les apprenants ne pouvaient pas lire les manuels d'enseignement. La vidéographie et le disque compact interactif ont modifié cette situation et remettent en cause les principes courants de la pédagogie de l'alphabétisation. L'article décrit un projet expérimental d'alphabétisation des adultes qui exploite la technologie vidéo. La langue utilisée est l'anglais, mais les concepts de base peuvent être appliqués à tout système d'écriture alphabétique ou syllabique. Un dessin animé sur vidéo d'une demi-heure se propose d'aider les adultes et adolescents éprouvant des difficultés. Les graphiques animés par électronique sont agréables à regarder et illustrent de façon claire et vivante les matières complexes. Cette technique vidéo se révèle également utile pour les apprenants à distance, les enfants et pour l'enseignement de l'anglais en seconde langue. Les méthodes et principes d'utilisation de disques compact interactifs restent à développer.

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Impact and adjustment: foreign students in comparative perspective

Foreign study is a multifaceted phenomenon - its impact is felt on academic institutions in both the host and sending countries, on the economies of nations, and of course on the individuals involved. With more than one million students studying abroad, foreign study has assumed considerable importance in higher education planning. This article considers the many aspects of foreign study and discusses the interrelationships of these elements. The policies of the host nations, for example, have an impact on higher education planning in the sending countries. The non-return of foreign students, traditionally referred to as the brain drain, is considerably more complex than was once thought since Third World graduates settled in the industrialized nations often retain contacts with their home countries and increasingly return after a period abroad. This article also considers the various push and pull factors which determine the constantly changing flow of foreign students.This study was supported by the Organisation for Economic Co-operation and Development, Centre for Educational Research and Innovation. It was presented at the International Seminar on Higher Education and the Flow of Foreign Students, convened by the Hochschul-Informations-System, with support from the Federal Ministry of Education and Science and the Lower Saxony Ministry of Science and Arts in Hannover, Germany on 26th–28th April 1990.     

The decline of the modern paradigm in education

The education system is widely perceived to be functioning poorly, and this paper argues that there is in fact a deep crisis caused by the gap between the system and the changing world that surrounds it. Post-modern conditions stress the production of information rather than the productivity of land or capital, and a relativistic world-view rather than adherence to a fixed religion or ideology, which in turn gives rise to pluralism and shifting social frameworks. At the same time, the pursuit of Truth is no longer seen as the highest goal in life, and the possession of proof of education is no longer a guarantee of access to the Good Life. Educational institutions are dysfunctional because they remain wedded to outmoded parameters in their aims, activities, structures, methods and perceptions of their clientele. Through a wide-ranging review of recent conceptual debate and assessment of social trends, the paper explores the implications of radical contemporary changes in the parameters: the search for a new paradigm of education has only just begun.

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Zusammenfassung Das Bildungssystem wird weitgehend als unzulänglich betrachtet, und dieser Artikel argumentiert dahingehend, daß es in der Tat eine tiefgreifende Krise gibt, die durch die Kluft zwischen dem System und der sich ändernden Welt um es herum ist. Postmoderne Bedingungen legen eher Wert auf die Erstellung von Informationen als auf die Produktivität von Land oder Kapital. Man zieht eine relativistische Weltanschauung einer festgelegten Religion oder Ideologie vor, die wiederum Pluralismus und sich ändernde soziale Rahmenbedingungen fördert. Gleichzeitig wird die Suche nach der Wahrheit nicht länger als oberstes Ziel im Leben angesehen und der Besitz von Bildungsnachweisen ist nicht länger eine Garantie für ein gutes Leben. Bildungsinstitutionen funktionieren nicht mehr, weil sie in ihren Zielen, Aktivitäten, Strukturen, Methoden und Wahrnehmungen ihrer Zielen, Aktivitäten, Strukturen, Methoden und Wahrnehmungen ihrer Zielgruppen mit unzeitgemäßen Normen verknüpft sind. Mittels eines weitreichenden überblicks über jüngste Debatten über Konzepte und die Einschätzung sozialer Trends, untersucht der Artikel die Auswirkungen radikaler zeitgenössischer Anderungen der Normen; die Suche nach einem neuen Paradigma der Bildung hat gerade erst begonnen.

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Resumen Hay una percepción general de que el funcionamiento del sistema de educación es deficiente, y este trabajo sostiene que, efectivamente, se produce una profunda crisis causada por la brecha existente entre el sistema y el mundo cambiante que lo rodea. Las condiciones postmodernistas ponen énfasis en la producción de informaciones más que en la productividad de la tierra o del capital, y en una óptica del mundo relativista más que en la adhesión a una religión o ideología fija, lo que por su parte da origen al pluralismo y a sistemas sociales cambiantes. Al mismo tiempo, la busca de la Verdad ya no es considerada como la meta más importante en la vida, y la titularidad de pruebas de formación ya no garantiza el acceso a la Buena Vida. Las instituciones de la educación muestran una disfunción porque aún se atienen a parámetros obsoletos en cuanto a objetivos, actividades, estructuras, métodos y percepciones de su clientela. A través de una amplia reseña de debates conceptuales recientes y de la valoración de tendencias sociales, el trabajo explora las implicaciones que los cambios radicales contemporáneos tienen en los parámetros; la busca de un nuevo paradigma de educaión solamente acaba de comenzar.

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Résumé Le système éducatif a la réputation largement répandue de mal fonctionner, et l'article expose qu'il existe en effet une crise profonde due à l'écart entre le système d'éducation et le monde en évolution qui l'entoure. Les conditions de vie post-modernes font passer au premier plan la production de l'information à la place de la productivité de la terre et du capital, et une vision du monde relativiste remplace l'adhésion à une religion ou une idéologie fixe, qui à son tour engendre le pluralisme et la modification des structures sociales. Parallèlement, la recherche de la vérité n'est plus le but suprême dans la vie, et la détention d'une preuve d'éducation n'est plus une garantie d'accès à une vie réussie. Le dysfonctionnement des institutions éducatives réside donc dans leur attachement obstiné à des modèles périmés quant à leurs objectifs, leurs activités, leurs structures, leurs méthodes et leur vision de la clientèle. Sur la base d'une vaste étude sur le récent débat conceptuel et une évaluation des tendances sociales, l'article analyse les conséquences des changements radicaux contemporains sur ces modèles: la recherche d'un nouveau type d'éducation ne fait que commencer.

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The notion of infinite measuring number and its relevance in the intuition of infinity

In this paper a concept of infinity is described which extrapolates themeasuring properties of number rather thancounting aspects (which lead to cardinal number theory).Infinite measuring numbers are part of a coherent number system extending the real numbers, including both infinitely large and infinitely small quantities. A suitable extension is the superreal number system described here; an alternative extension is the hyperreal number field used in non-standard analysis which is also mentioned.Various theorems are proved in careful detail to illustrate that certain properties of infinity which might be considered false in a cardinal sense are true in a measuring sense. Thus cardinal infinity is now only one of a choice of possible extensions of the number concept to the infinite case. It is therefore inappropriate to judge the correctness of intuitions of infinity within a cardinal framework alone, especially those intuitions which relate to measurement rather than one-one correspondence.The same comments apply in general to the analysis of naive intuitions within an extrapolated formal framework.     

Child-methods in secondary mathematics

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.     

Confidence is Everything” – Perspectives of Teachers and Students on Learning Mathematics

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.     

Socialist mathematics education: Does it exist?

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.     

Academic-industry liaison in the United Kingdom: economic perspectives

In recent years, higher educational institutions (HEIs) have been under increasing pressure to liaise more closely with industry. This paper draws on some relevant areas of economic theory to analyse the relationship between HEIs and industrial organisations. The nature of the benefits from liaison is examined, and the implications for financing liaison activities are considered. It is argued that liaison can frequently strengthen the traditional functions of HEIs by contributing to teaching and research. However, there is justification for the fears of many academics that in practice the outcome of closer industrial involvement may be to weaken these functions. Such undesirable outcomes reflect the weaknesses of the internal organisation of HEIs; in particular, the scope for opportunistic behaviour provided by the incompleteness of the academic contract, and the informational disadvantages suffered by senior management. In the light of these arguments, the final section considers alternative systems for organising liaison, drawing on examples from the United Kingdom. The criteria for assessment are concerned with the likely effectiveness of the systems in reducing the costs of both facilitating and policing liaison activities.     

Towards Total Quality Management in Higher Education at Aston University—a case study

The theme of Quality has been embedded in Aston University's strategic plans for long term success during a decade of change brought about by the national policy to restructure the British Higher Education system. The philosophy and techniques of Quality Management have been applied as a means of ensuring continuous improvement and progress towards Aston's mission to be a leading technological university. The strategic plan has led to major projects including academic restructuring to ensure that departments cover disciplines consistent with the mission, and the provision of a high quality support infrastructure. The plan for growth is rooted in the concepts of understanding who the customers are, in understanding their needs and serving them well. The formation of a Quality Council has marked a further stage in the realisation of an integrated Quality Management programme. The purpose of the Council is to review the University's processes and Critical Success Factors in order to identify key areas for improvement. An extensive education and training programme has been launched and there has been experimentation with the vital Quality Management technique of Quality Function Deployment.     

Policy communities,issue networks and the formulation of Australian higher education policy

Governments in most western countries consult extensively with clientele groups in the process of formulating higher education policy. The nature of these consultative mechanisms, in turn, influences the manner in which decisions are made, and the substance of policy outcomes. This article explores the changing style of government-interest group interaction in Australia over the decade 1985–94 and how these changes have effected the way policy is determined. It is argued that Australia has gone through three phases over that time. Until 1987 policy was formulated by a stable policy community. From 1988–90, when a number of major reforms were introduced, this framework was replaced by a brief period of state direction. During the early 1990s a new environment characterised by unstable issue networks emerged.     

The Law of Unintended Consequences: The ‘Real’ Cost of Top-Down Reform

In most jurisdictions around the world,governments, in the name of economiccompetitiveness, have imposed comprehensive andquite dramatic changes on state schools. Mostchanges require a more centralized and rigorouscurriculum for pupils, a plethora ofaccountability measures and mandatoryin-service for teachers, and carefully definedand more onerous responsibilities for schoolleaders. The province of Ontario is nodifferent. Since 1995, its educational systemhas experienced quite revolutionary changes– all instituted with break-neck speed. At thesame time most schools in Ontario are employinginternal change strategies to address theseoutside pressures. These change forces havecoalesced to redefine the work and lives ofteachers and school leaders in many intendedand unintended ways. There is a substantialliterature on both external and internal changeforces, but very little has been written aboutthe conjunction of these change forces with thepersonal side of change for teachers andleaders. Based on two studies undertaken by theInternational Centre for Educational Change atthe Ontario Institute for Studies inEducation/University of Toronto, this paperexamines the unintended consequences of thesechange forces on the teachers and principals ofone secondary school in Ontario, Canada. Theteachers and leaders of Lord Byron High Schoolare not averse to change and are generallyquite content to do whatever is in the bestinterests of their students. The school has along history of innovation and change and areputation for attending to a wide diversity ofstudent needs.Through the use of multiple conceptual lenses,this paper addresses the unintendedconsequences of systemic change to the schooland its teachers and principals. At a time whenteacher shortages and teacher morale aregrowing problems for many educationaljurisdictions, this investigation will point toan urgent need to build better bridges ofunderstanding between policy makers and policyimplementers, and for researchers to provideresearch that is more sensitive to the work andlives of real people in real schools.     

Policy change in Austrian higher education: indications of a new approach

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.     

Making connections: the logical structuring of hypertext documents

The results from an experiment analysing hypertextual semantic linking is reported. In the study participants are asked to describe logical relationships between related, semi-related and unrelated paragraphs of text. It is concluded that existence and themes of relationships are (as expected) fairly consistently recognised, however, specific relationships do not readily fall into natural predicate like statements. Purely thematic relationships, or a palette of available relationships might be the more practical approach. Further work on dynamic linking in hypertext documents is also reported. Dynamic linking eliminates some of the problems associated with a mismatch between the mental models of authors and readers and allows the readers to construct their own hypertexts from linear documents. This approach offers useful data on logical connectivity in hypertext documents but also represents an alternative to conventional hypertext authoring and reading.     

The Pseudo-Conceptual and the Pseudo-Analytical Thought Processes in Mathematics Learning

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.     

Selbstorganisation: ein neues Paradigma für die Schulpädagogik — oder alter Wein in neuen Schläuchen?

Zusammenfassung Die Schulpädagogik ist seit langem daran gewöhnt, mit Theorieangeboten aus anderen Wissenschaftsdisziplinen konfrontiert zu werden. Mit dem Paradigma der Selbstorganisation liegt gegenwärtig eine sehr komplexe Konzeption bereit, die die Schulpädagogik zur Reflexion über ihren Gegenstand Schule anregen kann. Eine von diesem Paradigma motivierte differenztheoretische Betrachtungsweise von Systemen schärft den Block für die Möglichkeiten, aber vor allem für die Grenzen eines modernene Sozialsystems, wie es die Schule heute ist. Die Fragen, ob Schule kompensatorische Erziehungsleistungen für das Familiensystem erbringen kann, ob unterrichtliches Handeln auch therapeutisches Handeln sein kann, können aus der Perspektive dieses Paradigmas beantwortet werden.

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School education has long been accustomed to accommodating theories from other scientific disciplines. The paradigm of self-organization provides a complex concept which will stimulate reflection on the phenomenon of schools within educational science. Analysis of systems in the light of different theory, motivated by this paradigm, can give a clearer view of the potential and limitations of a modern social system, which is what a school now is. By employing this paradigm, answers can be found to the questions whether schools can deliver education that compensates for family systems, and whether teaching can also provide therapy.

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Resumen La educación escolar desde hace mucho tiempo se ha acostumbrado a adaptar teorías de otras disciplinas científicas. El paradigma de la auto-orgnización provee un concepto complejo que estimulará la reflexión acerca de fenómeno de las escuelas dentro de la ciencia de la educación. El análisis de sistemas a la luz de una teoría diferencial, motivada por este paradigma, podrá proporcionar una visión más clara del potencial y de las limitaciones de un sistema social moderno, de lo que es una escuela ahora. Aplicando este paradigma, podrán encontrarse soluciones a los interrogantes de si las escuelas pueden proporcionar una educacíon que compense sistemas familiares, y si la enseñanza puede también redundar en terapia.

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Résumé L'éducation scolaire est depuis longtemps habituée à assimiler les théories d'autres disciplines scientifiques. Le modèle de l'autogestion fournit un concept complexe qui donnera aux sciences de l'éducation matière à réflexion sur le phénomène de l'école. Une analyse des systèmes à la lumière de la théorie différentielle soutenue par ce modèle peut donner une vision plus claire des possibilités et des limites d'un système social moderne, comme l'est l'école aujourd'hui. Dans l'optique de ce modèle, des réponses peuvent être apportées aux questions si l'école peut remplir un rôle compensatoire par rapport au système familial, et si l'enseignement constitue aussi une action thérapeutique.

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Nine years in the journal

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.     

Styles of scientific thinking

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.     

Participation, Knowledge and Beliefs: A Community Perspective on Mathematics Learning

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.     

Research and scholarship: Perceptions of senior academic administrators

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.