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Educational Studies in Mathematics

, Volume 43, Issue 1, pp 65–94 | Cite as

Investigating pupils' images of mathematicians

  • Susan H. Picker
  • John S. Berry
Article

Abstract

This paper describes a research project that had two goals: (1) to design and develop a tool with which to investigate pupils' images of mathematicians; and (2) to use the device to compare those images held by lower secondary pupils (ages 12–13) in five countries. We report that with small cultural differences certain stereotypical images of mathematicians are common to pupils in all of these countries and these images indicate that for pupils of this age mathematicians and the work that they do are, for all practical purposes, invisible.

draw a mathematician pupils' images of mathematicians 

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References

  1. Acocella, J.: 2000, 'Under the spell: Harry Potter explained,' The New Yorker July 31, 74-78.Google Scholar
  2. Aiken, L.R.: 1970, 'Attitudes toward mathematics,' Review of Educational Research 40(4), 55-596.CrossRefGoogle Scholar
  3. Aunger, R.: 1999, 'Reviews: culture vultures,' The Sciences 39(5), 36-42.Google Scholar
  4. Barman, C.R.: 1999, 'Pupils' views about scientists and school science: Engaging K-8 teachers in a national study,' Journal of Science Teacher Education 10(1), 43-54.CrossRefGoogle Scholar
  5. Battista, M.T.: 1994, 'Teacher beliefs and the reform movement in mathematics education,' Phi Delta Kappan 75(6), 462-470.Google Scholar
  6. Bem, D.J.: 1970, Beliefs, Attitudes, and Human Affairs, Belmont, CA: Brooks/Cole, Wadsworth.Google Scholar
  7. Boaler, J.: 1999, 'Challenging the esoteric: learning transfer and the classroom community,' in O. Zaslavsky (ed.), Proceedings of the 23 rd Conference of the international Group for the Psychology of Mathematics Education (PME), 25-30 July, 1999, Vol. 2, pp. 129-137, Haifa, Israel: Technion-Israel institute of Technology.Google Scholar
  8. Boggs, P.T.: 1981, 'Mathematical software: how to sell mathematics,' in L.A. Steen (ed.), Mathematics tomorrow, Springer-Verlag, New York, pp. 221-236.Google Scholar
  9. Bogomolny, A.: 1996, 'Math was the most difficult subject I ever...,' in interactive Mathematics Miscellany and Puzzles (online), URL http://www.cut-theknot.com/manifesto/testimonials.html.Google Scholar
  10. Buerk, D.: 1994, 'Introduction: students' conceptions of mathematics and the challenge of the standards,' in D. Buerk (ed.), Empowering Students by Promoting Active Learning in Mathematics, National Council of Teachers of Mathematics, Reston, VA, pp. 1-5.Google Scholar
  11. Buffet, J.: 1999, “'Math Suks” from “Beach House on the Moon”,' <http://www.margaritaville.com>.Google Scholar
  12. Chambers, D.W.: 1983, 'Stereotypic images of the scientist: the draw-a-scientist test,' Science Education 67(2), 255-265.Google Scholar
  13. Cobb, P.: 1986, 'Contexts, goals, beliefs, and learning mathematics,' For the Learning of Mathematics 6(2), 2-9.Google Scholar
  14. Cole, K.C.: 1998, 'Math whizzes want respect in equation,' The Los Angeles Times, July 14, Part A Section/Home Edition, Col. 1.Google Scholar
  15. Davis, P.J. and Hersh, R.: 1981, The Mathematical Experience, Birkhäuser, Boston.Google Scholar
  16. Dawkins, R.: 1989, new edition, The Selfish Gene, Oxford University Press, Oxford.Google Scholar
  17. Dossey, J.A.: 1992, 'The nature of mathematics: its role and its influence,' in D.A. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, Macmillan, New York, pp. 39-48.Google Scholar
  18. Eastaway, R.: 1999, 'Maths in game shows on TV and radio: turn-on or turnoff?,' Paper for ESRC Seminar: The Production of a Public Understanding of Mathematics, University of Birmingham, 22-23 May 1999. (Online) URL http://www.ioe.ac.uk//esrcmaths/eastaway.html.Google Scholar
  19. Finson, K.D., Beaver, J.B. and Cramond, B.L.: 1995, 'Development and field test of a checklist for the draw-a-scientist test,' School Science and Mathematics 95(4), 195-205.Google Scholar
  20. Fraser, L.: 2000, Telling tales: an interview with J.K. Rowling. Mammoth, London.Google Scholar
  21. Furinghetti, F.: 1993, 'Images of mathematics outside the community of mathematicians: evidence and explanations,' For the Learning of Mathematics 13(2), 33-38.Google Scholar
  22. Furinghetti, F.: 1996, 'A theoretical framework for teachers' conceptions,' in H. Markku (ed.), Current State of Research on Mathematical Beliefs III, Proceedings of the MAVI-3 workshop 1996, University of Helsinki, Department of Teacher Education, Helsinki, pp. 19-25.Google Scholar
  23. Garfunkel, S.A. and Young, G.S.: 1998, 'The sky is falling,' Notices of the AMS 45(2), 256-257.Google Scholar
  24. Garofalo, J.: 1989, 'Beliefs, responses, and mathematics education: observations from the back of the classroom,' School Science and Mathematics 89(6), 451-455.Google Scholar
  25. Halmos, P.R.: 1968, 'Mathematics as a creative art,' American Scientist 56, 375-389.Google Scholar
  26. Hammond, A.L.: 1978, 'Mathematics, our invisible culture,' in L.A. Steen (ed.), Mathematics Today: Twelve Informal Essays, Springer-Verlag, New York, pp. 16---.Google Scholar
  27. Henrion, C.: 1997, Women in Mathematics: The Addition of Difference, Indiana University Press, Bloomington and Indianapolis.Google Scholar
  28. Howson, A.G. and Kahane, J.-P.: 1990, 'A study overview,' in A.G. Howson and J.-P. Kahane (eds.), The Popularization of Mathematics, University Press, Cambridge, pp. 1-37.Google Scholar
  29. Huber, R.A. and Burton, G.M.: 1995, 'What do pupils think scientists look like?,' School Science and Mathematics 95(7), 371-376.CrossRefGoogle Scholar
  30. Jackson, C.D. and Leffingwell, R.J.: 1999, 'The role of instructors in creating math anxiety in students from kindergarten through college,' Mathematics Teacher 92(7), 583-586.Google Scholar
  31. Jacobs, A.: 2000, 'Harry Potter's magic,' First Things 99, 35-38.Google Scholar
  32. Jaworski, B.: 1994, 'Being mathematical within a mathematical community,' in M. Sedlinger (ed.), Teaching Mathematics, Routledge/Open University, London, pp. 218-231.Google Scholar
  33. Lax, A. and Groat, G.: 1981, 'Learning mathematics,” in L.A. Steen (ed.), Mathematics Tomorrow, Springer-Verlag, New York, p. 86.Google Scholar
  34. Lim, C.S. and Ernest, P.: 1998, 'A survey of public images of mathematics,' Proceedings of the Day Conferences held at King's College London, Saturday 28 th February 1998, British Society for Research into Learning Mathematics, London, pp. 7-13.Google Scholar
  35. Lim, C.S. and Ernest, P.: 1999, 'Public images of mathematics,' Philosophy of Mathematics Education Journal 11, <http://www.ex.ac.uk/~PErnest/pome11/art6.htm>.Google Scholar
  36. Lucas, W.F.: 1981, 'Growth and new intuitions: can we meet the challenge?,' in L.A. Steen (ed.), Mathematics Tomorrow, Springer-Verlag, New York, pp. 55-69.Google Scholar
  37. Malkevitch, J.: 1989, Mathematics' image problem, Unpublished manuscript. Available from Professor Joseph Malkevitch, Department of Mathematics and Computing, York College of The City University of New York, Jamaica, N.Y., 11451, USA.Google Scholar
  38. Malkevitch, J.: 1997, 'Discrete mathematics and public perceptions of mathematics,' in J.G. Rosenstein, D.S. Franzblau and F.S. Roberts (eds.), Discrete Mathematics in the Schools, American Mathematical Society/NCTM, Providence, RI, pp. 89-97.Google Scholar
  39. Matthews, B. and Davies, D.: 1999, 'Changing children's images of scientists: can teachers make a difference?,' School Science Review 80(293), 79-85.Google Scholar
  40. Mcintosh, M.E. and Draper, R.J.: 1997, Write Starts, Dale Seymour Publications, Palo Alto, CA, pp. 5-11.Google Scholar
  41. Mead, M. and Métraux, R.: 1957, 'Image of the scientist among high-school pupils,' Science 126(3269), 384-390.Google Scholar
  42. National Council of Teachers of Mathematics.: 1989, Curriculum and Evaluation Standards for School Mathematics, Author, Reston, VA.Google Scholar
  43. National Council of Teachers of Mathematics.: 1998, Principles and Standards for School Mathematics: Discussion Draft (Standards 2000), Author, Reston, VA.Google Scholar
  44. National Council of Teachers of Mathematics.: 1999, 'A conversation with Jimmy Buffet shows math doesn't “suk” after all,' NCTM News Bulletin 36(1), 1, 4-5. Author, Reston, VA.Google Scholar
  45. National Research Council, Mathematical Sciences Education Board: 1989, Everybody Counts: A Report to the Nation on the Future of Mathematics Education, National Academy Press, Washington, DC.Google Scholar
  46. Nicolescu, M.: 1999, Private Communication on Schooling in Romania.Google Scholar
  47. Nolan, J. and Francis, P.: 1992, 'Changing perspectives in curriculu and instruction,' in C.D. Glickman (ed.), Supervision in Transition, the 1992 ASCD Yearbook, ASCD, Alexandria, VA, pp. 44-60.Google Scholar
  48. Peterson, I.: 1991, 'Searching for new mathematics,' SIAM Review 33(1), 37-42.CrossRefGoogle Scholar
  49. Resnick, L.B. and Hall, M.W.: 1998, 'Learning organizations for sustainable education reform,' Daedalus 127(4), 89-118.Google Scholar
  50. Rock, D. and Shaw, J.M.: 2000, 'Exploring children's thinking about mathematicians and their work,' Teaching Children Mathematics 6(9), 550-555.Google Scholar
  51. Rothstein, E.: 1998, 'Not quite a virus but a contagion brain to brain,' The New York Times May 25, E2.Google Scholar
  52. Schoenfeld, A.H.: 1983, Problem Solving in the Mathematics Curriculum: A Report, Recommendations, and an Annotated Bibliography, Mathematical Association of America, Washington, DC, Notes Number 1.Google Scholar
  53. Schoenfeld, A.H. 1987, 'What's all the fuss about metacognition?,' in A.H. Schoenfeld (ed.), Cognitive Science and Mathematics Education, Lawrence Erlbaum Associates, Hillsdale, NJ, pp. 189-215.Google Scholar
  54. Schoenfeld, A.H.: 1994, 'Reflections on doing and teaching mathematics,' in A.H. Schoenfeld (ed.), Mathematical Thinking and Problem Solving, Lawrence Erlbaum Associates, Hillsdale, NJ, pp. 53-70.Google Scholar
  55. Zinsser, W.: 1989, Writing to Learn, Perennial Library/Harper and Row, New York, pp. 149-167.Google Scholar

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Susan H. Picker
    • 1
  • John S. Berry
    • 2
  1. 1.Office of Mathematics InitiativesCommunity School District 2New York CityUSA
  2. 2.Centre for Teaching MathematicsThe University of PlymouthDevonUK

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