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Solutions to the Problem of Impact in the 17th and 18th Centuries and Teaching Newton's Third Law Today

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Abstract

The similarity between the ideas of young people today and those of early scientists suggests that a study of historical change might be a fruitful source of information for improving the teaching of scientific concepts. This paper examines the use of Newton's third law in helping to understand impact phenomena in the 17th and 18th centuries with a view to gaining ideas to help in teaching Newton's third law. Implications relate to the elaboration of pupils' ideas along the lines of the early scientific understanding, the use of bifilar pendulums in demonstrating impact phenomena, the need for care in differentiating distinct concepts from one another and labelling them appropriately, and the value of a detailed examination of the stages of collisions as they take place.

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REFERENCES

  • Anonymous: 1808, 'Bakerian Lecture on the Force of Percussion, by William Hyde Wollaston, M.D.Sec. R.S.', Edinburgh Review 12, 120–130.

  • Blackwell, R.J.: 1966, 'Descartes' Laws of Motion', Isis 57, 220–234.

    Google Scholar 

  • Brown, D.E.: 1989, 'Students' Concept of Force: The Importance of Understanding the Third Law”, Physics Education 24, 353–358.

    Google Scholar 

  • De Pater, C.: 1989, 'The Textbooks of 'sGravesande and van Musschenbroek in Italy', in C.S. Maffioli & L.C. Palm (eds) Italian Scientists in the Low Countries in the XVIIth and XVIIIth Centuries, Rodopi, Amsterdam, 231–241.

    Google Scholar 

  • Desaguliers, J.: 1744, A Course of Experimental Philosophy, Volume 2, Innys, London.

    Google Scholar 

  • Dijkstcrhuis, E.J.: 1961, The Mechanization of the World Picture, Oxford University Press, London.

    Google Scholar 

  • Erlichson, H.: 1995, 'Newton's strange collisions', The Physics Teacher 33, 169–171.

    Google Scholar 

  • Gauld, C.F.: 1991, 'History of Science, Individual Development and Science Teaching”, Research in Science Education 21, 133–140.

    Google Scholar 

  • Gauld, C.F.: 1993, 'The Historical Context of Newton's Third Law and the Teaching of Mechanics'. Research in Science Education 23, 95–103.

    Google Scholar 

  • Gauld, C.F.: 1994, 'Newton's Third Law after Newton', Research in Science Education 24, 93–101.

    Google Scholar 

  • Gjertsen, D.: 1986, The Newton Handbook, Routledge and Kegan Paul, London.

    Google Scholar 

  • 's Gravesande, W.J.: 1721, Mathematical Elements of Natural Philosophy, trans. by J.T. Desaguliers, J. Senex, London.

    Google Scholar 

  • 'sGravesande, W.J.: 1741, An Explanation of the Newtonian Philosophy in Lectures Read to the Youth of the University of Leyden, trans. by E. Stone, W. Innys, London.

    Google Scholar 

  • Grayson, D.: 1994, 'Concept substitution: an instructional strategy for promoting conceptual change', Research in Science Education 24, 102–111.

    Google Scholar 

  • Hall, A.R.: 1966, 'Mechanics and the Royal Society, 1668–1670', The British Journal for the History of Science, 3(9), 24–38.

    Google Scholar 

  • Hankins, T.L.: 1965, 'Eighteenth Century Attempts to Resolve the Vis Viva Controversy', Isis 56, 281–297.

    Google Scholar 

  • Herival, J.: 1965, The Background to Newton's Principia: A Study of Newton's Dynamical Researches in the Years 1664–84, Oxford University Press, London.

    Google Scholar 

  • Home, R.W.: 1968, 'The Third Law in Newton's Mechanics', The British Journal for the History of Science 4, 39–51.

    Google Scholar 

  • Hoskin, M.A.: 1962, '“Mining all within”: Clarke's notes to Rohault's Traite de Physique', The Thomist 24, 353–363.

    Google Scholar 

  • Huygens, C.: 1668/9, 'A Summary Account of the Laws of Motion', Philosophical Transactions of the Royal Society 3, 925–928.

    Google Scholar 

  • Iltis, C.: 1970, 'D'Alembert and the Vis Viva Controversy', History and Philosophy of Science 1, 135–144.

    Google Scholar 

  • Iltis, C.: 1971, 'Leibniz and the Vis Viva Controversy', Isis 62, 21–35.

    Google Scholar 

  • Keill, J. (1720). An Introduction to Natural Philosophy, J. Senex & J. Innys, London.

    Google Scholar 

  • Koyré, A.: 1965, 'Newton and Descartes', in Newtonian Studies, Chapman & Hall, London, 53–114.

    Google Scholar 

  • Laudan, L.: 1968, 'The Vis Viva Controversy, a Post-mortem', Isis 59, 131–143.

    Google Scholar 

  • Maloney, D.P.: 1984, 'Rule-governed Approaches to Physics — Newton's Third Law', Physics Education 19, 37–42.

    Google Scholar 

  • McCloskey, M.: 1983, 'Intuitive Physics', Scientific American 248(4), April, 114–122.

    Google Scholar 

  • Milner, I.: 1778, 'Reflections on the Communication of Motion by Impact and Gravity', Philosophical Transactions of the Royal Society 68, 344–379.

    Google Scholar 

  • Montanero, M., Perez, A.L. & Suero, M.I. (1995). 'A Survey of Students' Understanding of Colliding Bodies', Physics Education 30, 277–283.

    Google Scholar 

  • Newton, I.: 1729/1960, The Mathematical Principles of Natural Philosophy (trans. A. Motte, 1729: revised F. Cajori, 1934). University of California Press, Berkeley.

    Google Scholar 

  • Ogborn, J.: 1965, 'Momentum First: An Alternative Approach to Newtonian Dynamics”, School Science Review 47, 53–64.

    Google Scholar 

  • Papineau, D.: 1977, 'The Vis Viva Controversy: Do Meanings Matter?', Studies in the History and Philosophy of Science 8, 111–142.

    Google Scholar 

  • Rohault, J.: 1723, Rohault's System of Natural Philosophy illustrated with Dr Samuel Clarke's Notes, Volume I, translated by John Clarke, James Knapton, London.

    Google Scholar 

  • Russell, J.L.: 1976, 'Action and Reaction before Newton', British Journal for the History of Science 9, 25–38.

    Google Scholar 

  • Sarton, G.: 1948, 'The Study of Early Scientific Textbooks', Isis 38, 137–148.

    Google Scholar 

  • Scott, W.L.: 1959, 'The Significance of “Hard Bodies” in the History of Scientific Thought', Isis 50, 199–210.

    Google Scholar 

  • Sanmarti, N., Izquierdo, M. & Watson, R.: 1995, The Substantialisation of Poperties in Pupils' Thinking and in the History of Science', Science & Education 4, 349–369.

    Google Scholar 

  • Sequeira, M. & Leite, L.: 1991, 'Alternative Conceptions and History of Science in Physics Teacher Education', Science Education 75, 45–56.

    Google Scholar 

  • Shea, W.: 1988, “The Unfinished Revolution. Joharn Bernoulli (1667–1748) and the Debate between the Cartesians and the Newtonians”, in W. Shea (ed.) Revolutions in Science: Their Meaning and Relevance, Science History Publications, Canton, MA, 70–92.

    Google Scholar 

  • Viiri, J. (1995). 'Teaching the Force Concept: a Constructivist Teaching Experiment in Engineering Education'. In F. Finley, D. Allchin, D. Rhees and S. Fifield (eds), Proceedings of the Third International History, Philosophy, and Science Teaching Conference, Volume 2, University of Minnesota, Minneapolis, 1259–1270.

    Google Scholar 

  • Wallis, J.: 1668/9, 'A Summary Account given by Dr John Wallis, of the General Laws of Motion, by way of Letter written by him to the Publisher, and communicated to the R. Society, Novemb.26.1668', Philosophical Transactions of the Royal Society 3, 864–866.

    Google Scholar 

  • Wandersee, J.: 1985, 'Can the History of Science help Science Educators Anticipate Students' Misconceptions?”, Journal of Research in Science Teaching 23, 581–597.

    Google Scholar 

  • Westfall, R.S.: 1971, Force in Newton's Physics, MacDonald, London. Whiteside, D.: 1972. 'Newton's Lectures on Algebra During 1673–1683: The copy later Deposited in the Cambridge Archives. In D.T.; Whiteside (ed) The Mathematical Papers of Isaac Newton, Volume V, 1683–1684, Cambridge University Press, Cambridge, 54–532.

    Google Scholar 

  • Wollaston, W.H.: 1806, 'The Bakerian Lecture on the Force of Percussion', Philosophical Transactions of the Royal Society 96, Part I, 13–22.

    Google Scholar 

  • Wren, C.: 1668/9, 'Lex Naturae de Collisione Corporum', Philosophical Transactions of the Royal Society 3, 867–868.

    Google Scholar 

  • Yokoyama, M.: 1972, 'Origin of the Experiment of Impact with Pendulums', Japanese Studies in the History of Science 11, 67–72.

    Google Scholar 

  • Young, T.: 1807, A Course of Lectures on Natural Philosophy and the Mechanical Arts, Joseph Johnson, London.

    Google Scholar 

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Gauld, C. Solutions to the Problem of Impact in the 17th and 18th Centuries and Teaching Newton's Third Law Today. Science & Education 7, 49–67 (1998). https://doi.org/10.1023/A:1008662416828

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