Idealisation and Galileo’s Pendulum Discoveries: Historical, Philosophical and Pedagogical Considerations

Galileos discovery of the properties of pendulum motion depended on his adoption of the novel methodology of idealisation. Galileos laws of pendulum motion could not be accepted until the empiricist methodological constraints placed on science by Aristotle, and by common sense, were overturned. As long as scientific claims were judged by how the world was immediately seen to behave, and as long as mathematics and physics were kept separate, then Galileos pendulum claims could not be substantiated; the evidence was against them. Proof of the laws required not just a new science, but a new way of doing science, a new way of handling evidence, a new methodology of science. This was Galileos method of idealisatioin. It was the foundation of the Galilean–Newtonian Paradigm which characterised the Scientific Revolution of the 17th century, and the subsequent centuries of modern science. As the pendulum was central to Galileos and Newtons physics, appreciating the role of idealisation in their work is an instructive way to learn about the nature of science.     

Naturalized philosophy of science and natural science education

A major controversy in contemporary philosophy of science concerns the possibility and desirability of its naturalization. In this paper I review the philosophical controversy concerning naturalism, and investigate the role it might play in the science classroom. I argue that science students can benefit from explicit study of this controversy, and from explicit consideration of the extent to which philosophy of science can be studied naturalistically. More specifically, I suggest that such consideration can enhance students' understanding of the nature of natural science, of the nature and importance of philosophy of science, and of the relationship between the two — and that these benefits accrue to science education whichever philosophical view concerning naturalization proves to be correct. My hope is that the paper demonstrates the benefits to be gained from explicit consideration in the science classroom of an important issue in the philosophy of science.     

Suchting on the nature of scientific thought: Are we anchoring curricula in quicksand?

Scientific thought and the nature of science have been perennial concerns of science teachers and science curriculum developers. That is, the development of students' scientific thinking patterns and understandings of science as a way of knowing have been formally identified as desired outcomes of science instruction since the beginning of this century, and arguably earlier (Lederman 1992). Our desire to help students develop scientific thinking skills and an adequate understanding of the nature of science continues to this day, as is evidenced by the various contemporary reforms in science education (AAAS 1993; National Research Council 1994). Wallis Suchting's comprehensive search for a definition of the nature of scientific thought (Suchting 1995) has significant implications for the aforementioned goals of the science education community. Notwithstanding the almost certain disagreements regarding Suchting's analytical methods, his ultimate conclusion that there is no final, ultimate answer to the question of the nature of scientific thought should receive careful consideration as it has significant implications for science instruction, curriculum development, research in science education, and the content and focus of science education reform. In particular, these implications relate specifically to the science education community's current conceptions of science process, nature of science, and multiculturalism in science.     

Methodology and Politics: A Proposal to Teach the Structuring Ideas of the Philosophy of Science through the Pendulum

This article refers to a framework to teach the philosophy of science to prospective and in-service science teachers. This framework includes two components: a list of the main schools of twentieth-century philosophy of science (called stages) and a list of their main theoretical ideas (called strands). In this paper, I show that two of these strands, labelled intervention/method and context/values, can be taught to science teachers using some of the instructional activities sketched in Michael Matthewss Time for Science Education. I first explain the meaning of the two selected strands. Then I show how the pendulum can be used as a powerful organiser to address specific issues within the nature of science, as suggested by Matthews.     

Enhancing thinking skills: Domain specific/ domain general strategies

The main objective of this article is to provide a framework, based on a critical appraisal of the philosophy of science, that could help science educators to choose between domain-specific and domain-general strategies for enhancing the thinking skills of their students. Recent literature has emphasized that one of the most pervasive features of scientific practice is that of gathering evidence by making observations and conducting experiments. Research suggests that children do manifest, in a rudimentary form, the scientific thinking skills of raising causal questions, generating hypotheses and conducting experiments in order to test hypotheses, and that these skills increase progressively with age. It is concluded that we should not in the science classroom, emphasize only domain-specific knowledge. Absence of a single scientific method provides the occasion to shift from one method to another, thus facilitating competing frameworks of understanding. Evidence is provided to show that emphasizing domain specific (content) over domain general knowledge is consistent with a Kuhnian perspective of normal science. On the other hand, adopting the Lakatosian perspective would enable the students to understand that scientific progress goes through a process of conflicting frameworks, based on processes that require elaboration of rival hypotheses and their evaluation. It is concluded that the content-process dichotomy is misleading as the two approaches to teaching science would rather complement each other.     

The Treatment of Cycloidal Pendulum Motion in Newton’s Principia

The discovery of the near isochrony of the simple pendulum offered the possibilityof measuring time intervals more accurately than had been possible before. However,the fact that it was not strictly isochronous for all amplitudes remained a problem. Thecycloidal pendulum provided this strict isochrony and, over a thirty year period from1659 the analysis of the motion of this pendulum was developed. Newtons analysis inhis Principia was both elegant and comprehensive and his argument is illustratedin this paper. It provides insights into the revolutionary nature of Newtons thinkingespecially compared to the Galilean approach to understanding the motion of the simplependulum found in early 18th century textbooks.     

Raising awareness of uncertainty: A useful addendum to courses in the history and philosophy of science for science teachers?

A brief consideration of the need for courses in the history and philosophy of science (HPS) for science teachers is followed by the development of a suggested addendum. The rationale accepts the developmental argument that a conscious awareness of personal uncertainty of explanation provides the motor of change needed to involve science teachers in thinking critically about the nature of their subject. Following the technique pioneered in a different context by Acredolo and O'Connor (1991), the addendum is developed as a test procedure fostering the expression of uncertainties in relation to important questions about science. Using questions designed to serve our specific purposes, a form of the test is trialled on a small group of science teachers attending courses in a Graduate Certificate in Science Education, and the results used to stimulate and promote their discussion of some critical matters concerning the nature of science.     

‘... for more and better religious education’

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.     

The Role of Parents and Community in the Education of the Japanese Child

In Japan, there has been an increased concern about family and community participation in the childs education. Traditionally, the role of parents and community in Japan has been one of support and less one of active involvement in school learning. Since the government commenced education reforms in the last quarter of the 20th century, a more active role for parents and the community in education has been encouraged. These reforms have been inspired by the need to tackle various problems that had arisen, such as the perceived harmful elements of societys preoccupation with academic achievement and the problematic behavior of young people. In this paper, the following issues are examined: (1) education policy and reform measures with regard to parent and community involvement in the childs education; (2) the state of parent and community involvement at the eve of the 20th century.     

From Conant's Education Strategy to Kuhn's Research Strategy

The seminal influence of Kuhn's The Structure of Scientific Revolutions on the history, philosophy, and sociology of science illustrates how changes in pedagogical demands can significantly alter patterns of research. Kuhn's book was honed as a teacher in the General Education of Science curriculum designed by Harvard President James Bryant Conant, to whom Structure is dedicated. The courses targeted non-scientists who would have to make policy decisions in the dawning Atomic Age, where science would play an increasing role, despite the public skepticism generated by the atomic bomb (which Conant administered). Conant wanted these future policymakers to be connoisseurs of science who understood problematic Big Science as continuing the basic mindset of culturally valued Little Science. This partly explains why Kuhn presented science as following the same stages, regardless of the specific science and period under discussion. I consider three other senses in Conant's curriculum left its imprint on Kuhn's research practice: the use of case histories to manufacture the internal/external history distinction; the invention of the historiographical mirage known as normal science; the application of the incommensurability thesis to create a more receptive attitude to past scientists.     

Instructional Misconceptions in Acid-Base Equilibria: An Analysis from a History and Philosophy of Science Perspective

The implications of history and philosophy of chemistry are explored in the context of chemical models. Models and modeling provide the context through which epistemological aspects of chemistry can be promoted. In this work, the development of ideas and models about acids and bases (with emphasis on the Arrhenius, the Brønsted–Lowry, and the Lewis models) are presented. In addition, misconceptions (alternative and instructional ones) on acid-base (ionic) equilibria are examined from the history and philosophy of science perspective. The relation between the development of the models and students misconceptions are investigated. Finally, the hypothesis that history and philosophy could help educators anticipate students misconceptions is examined.     

Reliability and validity in qualitative research within education in Africa

This article discusses the problems of validity and reliability in qualitative research within education and relates this discussion to Africa. A main concern is the posing of the right research questions. The article attempts to bring into focus the voice of Africans, showing that the African researcher knows his/her environment better than any expatriate and will be more likely to ask the right questions provided that s/he is allowed to ask them and is not forced to work with questions of concern to Western donors, and provided that s/he trusts her/his own experiences and uses those to form concepts instead of merely transferring concepts formed in the West and based on experiences in the northern hemisphere. It argues for the need of secondary research to reanalyze from an Afro-centric viewpoint many of the accounts written by Western travellers and anthropologists. It further argues for the use of an autobiographical approach to secure data of high ecological validity. Validity is looked at as a more important concept than reliability and a mixing of qualitative and quantitative methods argued for.

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Zusammenfassung Dieser Artikel befaßt sich mit Problemen der Gültigkeit und zuverlässigkeit der Qualitativen Forschung innerhalb der Bildung in Bezug auf Afrika. Ein Hauptanliegen ist die richtige Fragestellung hinsichtlich der Forschung. Der Artikel versucht die Stimme der Afrikaner in den Vordergrund zu stellen und zeigt damit, daß afrikanische ForscherInnen ihr Umfeld besser als irgendein Außenstehender kennen und somit mit größerer Wahrscheinlichkeit die richtigen Fragen stellen. Dies setzt voraus, daß sie die richtigen Fragen stellen dürfen und nicht gezwungen sind, für westliche Geldgeber richtig erscheinende Fragen zu stellen. Eine weitere Voraussetzung ist, daß sie ihren eigenen Erfahrungen trauen können und sie für die Ausarbeitung von Konzepten nutzen, anstatt im Westen erstellte und auf Erfahrung in der nördlichen Hemisphäre basierende Konzepte weiterzugeben. Der Artikel befürwortet die Notwendigkeit einer zweiten Untersuchung, um vom afrikanischen Standpunkt aus die zahlreichen Berichte neu zu analysieren, die von westlichen Reisenden und Anthropologen geschrieben wurden. Weiterhin wird für die Sicherstellung von Daten hochwertiger ökologischer Gültigkeit die Anwendung eines autobiographischen Ansatzes empfohlen. Gültigkeit wird gegenüber der Zuverlässigkeit als wichtigeres Konzept angesehen und sowohl qualitative als auch quantitative Methoden gemeinsam befürwortet.

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Resumen Este artículo se ocupa de los problemas de la validez y fiabilidad del estudio cualitativo dentro de la educación y relaciona esta discusión con Africa. Uno de los temas principales es el planteamiento de los interrogantes de investigación correctos. El artículo pone su énfasis central en la voz de los africanos, mostrando que el/la investigador/a africano/a conoce mejor su entorno que cualquier otro extranjero o expatriado, y que es más probable que formule las preguntas correctas, siempre que esté autorizado/a a hacerlo y que no se vea obligado/a a trabajar con asuntos que conciernen a los donantes occidentales, y siempre que él o ella confíe en sus propias costumbres y experiencias para formar los conceptos, en lugar de transferir meramente conceptos formados en el mundo occidental y basados en experiencias del hemisferio norte. Aboga por la necesidad de la investigación secundaria a efectos de analizar desde un punto de vista afrocéntrico muchos de los informes escritos por viajeros y antropólogos occidentales. Además, sostiene la aplicación de un enfoque autobiográfico para asegurar datos de alto valor ecológico. El trabajo considera que la validez es un concepto más importante que la fiabilidad, y aboga por la mezcla de métodos cualitativos y cuantitativos.

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Résumé Cet article aborde les problèmes soulevés par la validité et la fiabilité de la recherche qualitative en éducation et remplace la question dans le contexte du continent africain. Un point important concerne la juste formulation des questions qui feront l'objet de recherches. L'auteur tente de faire entendre l'opinion africaine en exposant que le personnel de recherche africain connaît mieux son environnement que toute personne expatriée et qu'il sera plus susceptible de poser les questions appropriées, à la condition qu'on lui permette de les poser et qu'il ne soit pas obligé de travailler sur des questions qui importent aux commanditaires occidentaux, à la condition aussi qu'il se fie à ses propres expériences et les mette á profit pour former des concepts, au lieu de se borner à transférer ceux établis par l'Occident, et qui se fondent sur des expériences vécues dans l'hémisphère nord. Il démontre donc la nécessité d'une recherche secondaire pour procéder à une nouvelle analyse d'un point de vue africain de nombre de récits écrits par des voyageurs ou anthropologues occidentaux. Il plaide également pour le choix d'une approache autobiographique pour protèger des données d'une importante validité écologique. La validité est posée comme concept plus important que celui de la fiabilité, et il est conseillé d'appliquer conjointement des méthodes qualitatives et quantitatives.

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Hermeneutics and science education: An introduction

This paper is a programmatic sketch of a line of theoretical investigation in the philosophy of science education. The basic idea is that philosophical hermeneutics is an appropriate framework for science education in most of its aspects. A brief discussion is given of hermeneutics in general, of the version of it developed by H. G. Gadamer, and of the reasons for its relevance to science and to the problem of meaning in science education. A key element in this approach is the suggestion that each science be biewed as a language. Arguments against the appropriateness of hermeneutics to natural science are also discussed. One application of the theory to ongoing educational research — misconceptions — is specifically treated.     

Designing a Mathematics Course for Chemistry and Geology Students

Many mathematics departments usually teach a variety of courses for students from different science departments and even from different faculties. These service courses are usually taught in the same way as the courses for mathematics major students. However, in science, because of the need to better analyse and interpret experimental data and the increased use of mathematical tools in chemistry and geology textbooks, it is becoming necessary to teach these science students quantitative skills beyond the scope of first year mathematics courses. This paper describes the design of a one-semester second year mathematics course, mainly for chemistry and geology students, with three specific objectives: to develop students ability to quantitatively analyse problems arising in their own field, to illustrate the great utility of mathematical models to provide answers to key chemistry and geology problems, to develop students appreciation of the diversity of mathematical approaches potentially useful in the chemical and geological sciences.     

The impact of scienceware and foundations on students' attitudes towards science and science classes

In this paper, we describe changes in students' ideas about science classes, attitudes about science, and motivations for studying science, in a classroom designed to support projectbased science learing. Using a survey designed to provide a measure of students' attitudes towards science classes and science, we have compared students enrolled in a traditional high school biology course, with students enrolled in an integrated, project-based science course called Foundations I. Survey responses were analyzed to look at differences between and within two groups of students over the course of one school year. In general, the results of this study suggest that providing students with opportunities to collect and analyze their own data in science classes results in a change in students' ideas about science classrooms. Foundations I students' increased tendency to agree with statements about using information, drawing conclusions, and thinking about problems, implies a change in their understanding of what it means to do science in school. These students, in contrast to students in the traditional Biology course, no longer describe their science experience as one of memorization, textbook reading, and test taking. Instead they see science class as a place in which they can collect data, draw conclusions, and formulate and solve problems.     

Constructivism,the psychology of learning,and the nature of mathematics: Some critical issues

Constructivism is one of the central philosophies of research in the psychology of mathematics education. However, there is a danger in the ambiguous and at times uncritical references to it. This paper critically reviews the constructivism of Piaget and Glasersfeld, and attempts to distinguish some of the the psychological, educational and epistemological consequences of their theories, including their implications for the philosophy of mathematics. Finally, the notion of cognizing subject and its relation to the social context is examined critically.     

Is Christian Education Compatible With Science Education?

Science education and Christian education are not compatible if byChristian education one means teaching someone to be a Christian. Onegoal of science education is to give students factual knowledge. Even whenthere is no actual conflict of this knowledge with the dogmas ofChristianity, there exists the potential for conflict. Another goal ofscience education is to teach students to have the propensity to be sensitiveto evidence: to hold beliefs tentatively in light of evidence and to rejectthese beliefs in the light of new evidence if rejection is warranted by thisevidence. This propensity conflicts with one way in which beliefs are oftentaught in Christian education: namely as fundamental dogmas, rather than assubject to revision in the light of the evidence.     

The Nature of Science and Science Education: A Bibliography

Research on the nature of science and science education enjoys a longhistory, with its origins in Ernst Mach's work in the late nineteenthcentury and John Dewey's at the beginning of the twentieth century.As early as 1909 the Central Association for Science and MathematicsTeachers published an article – A Consideration of the Principles thatShould Determine the Courses in Biology in Secondary Schools – inSchool Science and Mathematics that reflected foundational concernsabout science and how school curricula should be informed by them. Sincethen a large body of literature has developed related to the teaching andlearning about nature of science – see, for example, the Lederman (1992)and Meichtry (1993) reviews cited below. As well there has been intensephilosophical, historical and philosophical debate about the nature of scienceitself, culminating in the much-publicised Science Wars of recent time. Thereferences listed here primarily focus on the empirical research related to thenature of science as an educational goal; along with a few influential philosophicalworks by such authors as Kuhn, Popper, Laudan, Lakatos, and others. Whilenot exhaustive, the list should prove useful to educators, and scholars in otherfields, interested in the nature of science and how its understanding can berealised as a goal of science instruction. The authors welcome correspondenceregarding omissions from the list, and on-going additions that can be made to it.     

The republic of science in the 1990s

Summary Research councils began as channels for state patronage of science (a widespread phenomenon after World War II) and were captured by the scientists: peer review of proposals, panels, board membership. In this way, they became an important organ of the Republic of Science (Michael Polanyi's concept). Being awarded a grant is now as important for the reputation or status of a scientist as the money value per se: research councils have become part of the reward system of science. Credibility-cycle analysis (Latour and Woolgar) is used to show this; and then applied to the research council itself, between the State and the national scientific community. Current concerns about proposal success rates and conservatism are analysed in terms of dynamics of this research world. This sociological approach to research councils allows analysis of changes in the reward system of science (where relevance is becoming an accepted criterion world-wide) and of the complex environment of research councils, where many actors now compete for the intermediary role. Research councils must also become entrepreneurial-or become obsolete.