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Lessons from the History of the Concept of the Ray for Teaching Geometrical Optics

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Abstract

There are two indisputable findings in science education research. First, students go to school with some intuitive beliefs about the natural world and physical phenomena that pose an obstacle to the learning of formal science. Second, these beliefs result from the confluence of two factors, namely, their everyday experience as they interact with the world around them and a set of operational constraints or principles that channel both perceptually and conceptually the way these experiences are perceived and interpreted. History of science suggests that the theories of early scientists through which they sought to explain physical phenomena relied mostly on ideas that closely fitted their experiences of the relevant phenomena. This characteristic of the early scientific ideas is the root of the epistemological difficulties that early scientists faced in their attempts to explain the phenomena. In this paper, we focus on the early theories in optics (from ancient Greek to the late Islamic scientific traditions) and argue that students face some of the same epistemological problems as early scientists in explaining vision and optical phenomena for the reason that students’ intuitive beliefs are also closely tied to particular phenomena and as a result the underlying notions are fragmentary and lack the necessary generality that would allow them to cover many disparate phenomena. Knowledge of these epistemological problems can help the instructor to identify the key elements for a better understanding of the formal theory of optics and, in turn, lead to a more effective instruction.

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Notes

  1. For Aristotle the same holds for all senses. “Now it is clear, alike by reasoning and without it [by experience] that sensation is generated in the soul through the medium of the body”. (On Sense and the Sensible A, 436b, 6–8).

  2. In the Modern Greek translation of Meteorology (Cactus publications) the word opsis is sometimes rendered as sight and smetimes as visual ray, depending on the context. Also, In Liddel and Scott’s dictionary there is a special reference on the use of the term opsis as visual ray in Aristotle’s Meteorology, although, according to same source, he refutes this idea in On the senses and sensible.

  3. In Metaphysics (M, 1078a, 23-24) Aristotle states “there is no false in the propositions of geometry”.

  4. This is the earliest known reference for pinhole images.

  5. The abbreviation Pers. refers to an English translation of Alhazen’s Kitab al manazir by Sabra (1989). The numbers refer to the book, chapter and paragraph number of this translation.

References

  • Adamson, P. (2006). Vision, light and color in Al-Kindi, Ptolemy and the ancient commentators. Arabic Sciences and Philosophy, 16, 207–236.

    Article  Google Scholar 

  • Andersson, B., & Kärrqvist, C. (1983). How Swedish pupils, aged 12–15 years, understand light and its properties. European Journal of Science Education, 5(4), 387–402.

    Google Scholar 

  • Aristotle, Meteorology 2. Omnibus V. 14 (trans: Cactus Publications). Athens: Cactus Publications, 1994.

  • Aristotle, Problemata 2. Omnibus V. 38 (trans: Cactus Publications). Athens: Cactus Publications, 1995.

  • Aristotle, Metaphysics (trans: Kyrgiopoulos, N.). Athens: Papyros Publications, 1975.

  • Aristotle, On sense and the sensible. Omnibus V. 33 (trans: Cactus Publications). Athens: Cactus Publications, 1995.

  • Aristotle, On the soul. Omnibus V. 40 (trans: Cactus Publications). Athens: Cactus Publications, 1997.

  • Aristotle, Physics (trans: Kyrgiopoulos, N.). Athens: Papyros Publications, 1975.

  • Bendall, S., Goldberg, F., & Galili, I. (1993). Prospective elementary teachers’ knowledge about light. Journal of Research in Science Teaching, 30(9), 1169–1187.

    Article  Google Scholar 

  • Boyer, B. C. (1946). Aristotelian references to the law of reflection. Isis, 36(2), 92–95.

    Article  Google Scholar 

  • Burnyeat, F. M. (2005). Archytas and optics. Science in Context, 18(1), 35–53.

    Article  Google Scholar 

  • Chi, M. T., Slotta, J. D., & de Leeuw, N. (1994). From things to processes: A theory of conceptual change for learning science concepts. Learning and Instruction, 4, 27–43.

    Article  Google Scholar 

  • Clark, A. (1993). Associative engines: Connectionism, concepts and representational change. Cambridge, MA: The MIT Press.

    Google Scholar 

  • Cohen, R. M., & Drabkin, E. I. (1948). A source book in Greek science. New York: McGraw-Hill Book Company, Inc.

    Google Scholar 

  • De Hosson, C., & Kaminski, W. (2007). Historical controversy as an educational tool: Evaluating elements of a teaching-learning sequence conducted with the text “Dialogue on the ways that vision operates”. International Journal of Science Education, 29(2), 617–642.

    Article  Google Scholar 

  • Dedes, C. (2005). The mechanism of vision: Conceptual similarities between historical models and children’s representations. Science & Education, 14, 699–712.

    Article  Google Scholar 

  • Dominey, P. F., Lelekov, T., Ventre-Dominey, J., & Jeannerod, M. (1998). Dissociable processes for learning the surface structure and abstract structure of sensorimotor sequences. Journal of Cognitive Neuroscience, 10(6), 734–751.

    Article  Google Scholar 

  • Driver, D., Guesne, E., & Tiberghien, A. (1995/1985). ChildrensIdeas in Science (Greek translation by Kretikos, Papantoniou, Stavropoulos, 2nd ed.). Athens: Trohalia Publications.

  • Elman, J. L., Bates, E. A., Johnson, M. H., Karmiloff-Smith, A., Parisi, D., & Plunkett, K. (1996). Rethinking innateness: A connectionist perspective on development. Cambridge, MA: The MIT Press.

    Google Scholar 

  • Euclid, Optics. Omnibus V. 10 (trans: Cactus Publications). Athens: Cactus, 2004.

  • Feher, E., & Rice, K. (1988). Shadows and anti-images: Children’s conceptions of light and vision II. Science Education, 72(5), 637–649.

    Article  Google Scholar 

  • Fetherstonhaugh, A., Happs, J., & Treagust, D. (1987). Student misconceptions about light: A comparative study of prevalent views found in Western Australia, France, New Zealand, Sweden and the United States. Research in Science Education, 17, 156–164.

    Article  Google Scholar 

  • Fetherstonhaugh, A., & Treagust, D. (1992). Students’ understanding of light and its properties: Teaching to engender conceptual change. Science Education, 76(6), 653–672.

    Article  Google Scholar 

  • Galili, I. (1996). Students’ conceptual change in geometrical optics. International Journal of Science Education, 18(7), 847–868.

    Article  Google Scholar 

  • Galili, I., Bendall, S., & Godberg, S. (1993). The effects of prior knowledge and instruction on understanding image formation. Journal of Research in Science Teaching, 30(3), 271–301.

    Article  Google Scholar 

  • Galili, I., & Hazan, A. (2000a). The influence of an historically oriented course on students’ content knowledge in optics evaluated by means of facets-schemes analysis. Physics Education Research, American Journal of Physics Supplement, 68(7), 3–15.

    Google Scholar 

  • Galili, I., & Hazan, A. (2000b). Learners’ knowledge in optics: Interpretation, structure and analysis. International Journal of Science Education, 22(1), 57–88.

    Article  Google Scholar 

  • Galili, I., & Hazan, A. (2001). The effect of a history based course in optics on students’ views about science. Science & Education, 10, 7–32.

    Article  Google Scholar 

  • Galili, I., & Lavrik, V. (1998). Flux concept in learning about light: A Critique of the present situation. Science Education, 82, 591–613.

    Article  Google Scholar 

  • Holton, G., & Brush, S. G. (1985). Introduction to concepts and theories in physical science. Princeton, NJ: Princeton University Press.

    Google Scholar 

  • Hubber, P. (2006). Year 12 student’s mental models of the nature of light. Research in Science Education, 36, 419–439.

    Article  Google Scholar 

  • Karmiloff-Smith, A. (1992). Beyond modularity: A developmental perspective on cognitive science. Cambridge, MA: The MIT Press.

    Google Scholar 

  • Kipnis, N. (1992). Rediscovering optics. Minneapolis: BENA Press.

    Google Scholar 

  • Kirk, G. S., Raven, J. E., & Schofield, M. (1983). The pre-socratic philosophers (2nd ed.). Cambridge: Cambridge University Press.

    Google Scholar 

  • Kuhn, S. T. (1962). The structure of scientific revolutions (Greek trans: Georgakopoulos, G., & Kalfas, B., 8th ed.). Athens: Syghrona Themata.

  • La Rosa, C., Mayer, M., Patrizi, P., & Vicentini-Missoni, M. (1984). Commonsense knowledge in optics: Preliminary results of an investigation into the properties of light. European Journal of Science Education, 6(4), 387–397.

    Google Scholar 

  • Lakatos, I. (1978). The methodology of scientific research programs. Cambridge: Cambridge University Press.

    Google Scholar 

  • Lindberg, C. D. (1968). The theory of pinhole images from antiquity to the thirteen century. Archive for the History of Exact Sciences, 5(2), 154–176.

    Article  Google Scholar 

  • Lindeberg, C. D. (1981). Theories of vision from Al-Κindi to Kepler. Chicago: University of Chicago Press.

    Google Scholar 

  • Matthews, R. M. (1989). A role for history and philosophy of science in science teaching. Interchange, 20, 3–15.

    Article  Google Scholar 

  • Matthews, R. M. (2007/1994). Science teachingThe role of history and philosophy of science (Greek translation). Athens: Epikentro.

  • Mihas, P., & Andreadis, P. (2005). A historical approach to the teaching of the linear propagation of light, shadows and pinhole cameras. Science & Education, 14, 675–697.

    Article  Google Scholar 

  • Minstrell, J. (1992). Facets of students’ knowledge and relevant instruction. In R. Duit, F. Goldberg, & H. Niedderer (Eds.), Research in physics learning: Theoretical issues and empirical studies (pp. 110–128). Kiel, Germany: IPN.

    Google Scholar 

  • Osborn, F. J., & Black, P. (1993). Young children’s (7–11) ideas about light and their development. International Journal of Science Education, 15(1), 83–93.

    Article  Google Scholar 

  • Park, D. (1997). The fire within the eye. Princeton, NJ: Princeton University Press.

    Google Scholar 

  • Plato, Timaeus or On nature. On Timaeus-Kritias (trans: Cactus Publications). Athens: Cactus Publications, 1994.

  • Rashed, R. (1997). Oeuvres Philosophiques et Scientifiques d’ Al-Kindi: L’ Optique et la Catoptrique (Vol. 1). Leiden: Brill.

    Google Scholar 

  • Rice, K., & Feher, E. (1987). ‘Pinholes and images: Children’s conceptions of light and vision’, I. Science Education, 71(4), 629–639.

    Article  Google Scholar 

  • Ronchi, V. (1991). Optics, the Science of vision. Translated in English and revised by Edward Rosen. New York: Dover Publications, Inc.

  • Sabra, I. A. (1989). The optics of ibn Al-Haytham. Books I–III, on direct vision. Translation with commentary (Vol. I). London: Τhe Warburg Institute, University of London.

    Google Scholar 

  • Sabra, I. A. (2003). Ibn Al- Haytham’s revolutionary project in optics: The achievement and the obstacle. In J. P. Hodgedijk & I. Sabra (Eds.), The enterprise of science in Islam, new perspectives (pp. 85–118). Cambridge, MA: The MIT Press.

    Google Scholar 

  • Sambursky, S. (1958). Philoponus’ interpretation of Aristotle’s theory of light. Osiris, 13, 114–126.

    Article  Google Scholar 

  • Sambursky, S. (1959). Physics of the stoics. London: Routledge and Kegan Paul.

    Google Scholar 

  • Schuster, J. A. (1986). Cartesian method as mythic speech: A diachronic and structural analysis. In J. A. Schuster & R. R. Yeo (Eds.), The politics and rhetoric of scientific method (pp. 33–95). Reidel: Kluwer.

    Google Scholar 

  • Selley, F. N. (1996). Children’s ideas on light and vision. International Journal of Science Education, 18(6), 713–723.

    Article  Google Scholar 

  • Seroglou, F., Koumaras, P., & Tselfes, V. (1998). History of science and instructional design: The case of electromagnetism. Science & Education, 7(3), 261–280.

    Article  Google Scholar 

  • Smith, A. M. (1996). Ptolemy’s theory of visual perception: An english translation with introduction and commentary. Transactions of the American Philosophical Society, Vol. 86, Part 2. Philadelphia: The American Philosophical Society.

  • Smith, A. M. (1999). Ptolemy and the foundations of mathematical optics: A source based guided study. Transactions of the American Philosophical Society held at Philadelphia for promoting useful knowledge, Vol. 89, Part 3. Philadelphia: The American Philosophical Society.

  • Spelke, E. S. (1990). Principles of object perception. Cognitive Science, 14, 29–56.

    Article  Google Scholar 

  • Sperber, D., & Wilson, D. (1986). Relevance: Communication and cognition. Cambridge, MA: The MIT Presss.

    Google Scholar 

  • Taylor, C. C. W. (1999). The atomists: Leucippus and Democritus. Fragments: A text and translation with a commentary. Toronto: University of Toronto Press.

    Google Scholar 

  • Thelen, E., & Smith, L. (1994). A dynamic system approach to the development of cognition and action. Cambridge, MA: The MIT Press.

    Google Scholar 

  • Winchester, I. (1989). History, science and science teaching. Interchange, 20, 1–4. Editorial.

    Google Scholar 

  • Wosilat, K., Heron, P. R. L., Shaffer, P. S., & McDermott, L. C. (1998). Development and assessment of a research-based tutorial on light and shadow. American Journal of Physics, 66(10), 906–913.

    Article  Google Scholar 

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Andreou, C., Raftopoulos, A. Lessons from the History of the Concept of the Ray for Teaching Geometrical Optics. Sci & Educ 20, 1007–1037 (2011). https://doi.org/10.1007/s11191-010-9302-7

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