Back to CRME Home PageCollaborative Group for Research in Mathematics Education
Developments in the Geometry Curriculum in the UK and Japan
Project team: Keith Jones, Taro Fujita (subsequently at the University
of Glasgow, now at the University of Plymouth)
International Collaborators: Susumu Kunimune (Shizuoka
University, Japan), Shinya Yamamoto (Kumamoto University, Japan)
This project focussed on analysing the historical development of geometry teaching in the UK at the beginning of the 20th century and how these developments influenced the teaching of geometry in subsequent years in Japan.
Publications (in date order)
Fujita, T., Jones, K. and Yamamoto, S. (2004), Geometrical Intuition and the
Learning and Teaching of Geometry. Paper presented at the Topic Group 10 on
Research and Development in the Teaching and Learning of Geometry, 10th
International Congress on Mathematical Education, (ICME-10), Copenhagen,
Denmark.
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full paper in pdf format.
Fujita, T., Jones, K. and Yamamoto, S. (2004), The Role of Intuition in
Geometry Education: learning from the teaching practice in the early 20th
Century. Paper presented at the Topic Group 29 on the History of the Teaching
and the Learning of Mathematics, 10th International Congress on Mathematical
Education, (ICME-10), Copenhagen, Denmark.
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full paper in pdf format.
Fujita, T. and Jones, K. (2003), The Place Of Experimental Tasks in Geometry
Teaching: learning from the textbook designs of the early 20th
century, Research in Mathematics Education volume 5. London:
British Society for Research into Learning Mathematics, pp 47-62. ISBN:
0953849848
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full article in pdf format.
Fujita, T. and Jones, K. (2003), Interpretations of National Curricula:
the case of geometry in Japan and the UK. Paper presented at the British
Educational Research Association Annual Conference, Heriot-Watt University,
10-13 September, 2003.
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full article in pdf format.
Fujita, T. and Jones, K. (2003), Critical Review of Geometry in Current
Textbooks in Lower Secondary Schools in Japan and the UK, Proceedings of the
27th Conference of the International Group for the Psychology of Mathematics
Education, Vol 1, 220 [extended abstract].
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the extended abstract in pdf format.
Fujita, T. and Jones, K. (2002), Opportunities for the Development of
Geometrical Reasoning in Current Textbooks in the UK and Japan, Proceedings
of the British Society for Research into Learning Mathematics, 22(3),
79-84.
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full paper in pdf format.
Fujita, T. and Jones, K. (2002), The Bridge between Practical and Deductive
Geometry: developing the "geometrical eye". In: A. D. Cockburn and E. Nardi (Eds),
Proceedings of the 26th Conference of the International Group for the
Psychology of Mathematics Education, Vol 2, 384-391, UEA, UK.
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full article in pdf format.
Jones, K. and Fujita, T. (2002), The Design of Geometry Teaching: learning
from the geometry textbooks of Godfrey and Siddons, Proceedings of the
British Society for Research into Learning Mathematics, 22
(2), 13-18.
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full paper in pdf format.
Fujita, T. (2001), The Order of Theorems in the Teaching of
Euclidean Geometry: learning from developments in textbooks in
the early 20th Century. International Reviews on
Mathematical Education, 33(6), 196-203.
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here for full article in pdf format.
Fujita, T. (2001), The Role of Experimental Tasks in the Teaching of Geometry, Hiroshima Journal of Mathematics Education, 9, 11-19.
Jones, K. and Fujita, T. (2001), Developing a New Pedagogy for Geometry,
Proceedings of the British Society for Research into Learning Mathematics,
21(3), 90-95.
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full paper in pdf format.
Fujita, T. (2000), Textbook analysis as a methodology of the historical study in mathematics education - examination of the method proposed by Schubring (1987), Elementary Mathematics Teaching Today, 358, 62-5. [in Japanese]
Fujita, T. (2000), The roles of experimental tasks in the teaching of geometry - an examination of Elementary Geometry (1903) by Godfrey and Siddons. Paper presented to the Topic Group on Geometry at the 9th International Congress on Mathematical Education, Tokyo, Japan, August 2000.
Conference Presentations
10th International Congress on Mathematical Education, Copenhagen, Denmark, July 2004.
British Educational Research Association Annual Conference, Heriot-Watt University, 10-13 September, 2003.
27th Conference of the International Group for the Psychology of Mathematics Education (PME27), Hawaii, July 2003
Conference of the British Society for Research into Learning Mathematics, Nottingham, 2002
Conference of the British Society for Research into Learning Mathematics, Bristol, 2002
Conference of the British Society for Research into Learning Mathematics, Southampton, November 2001.
9th International Congress on Mathematical Education (ICME9), Tokyo, Japan, August 2000.
Selected Bibliography
Fischbein, E.: 1994, The Interaction between the Formal, the Algorithmic and the Intuitive Components in a Mathematical Activity. In R. Biehler et al (Eds), Didactics of Mathematics as a Scientific Discipline. Dordrecht: Reidel.
Godfrey, C.: 1910, The Board of Education Circular on the Teaching of Geometry. Mathematical Gazette,5, 195-200.
Godfrey, C. and Siddons, A. W.: 1931, The Teaching of Elementary Mathematics. Cambridge: Cambridge University Press.
Jones, K.(1998), Deductive and Intuitive Approaches to Solving Geometrical
Problems. In: C. Mammana and V. Villani (eds), Perspectives on the
Teaching of Geometry for the 21st Century. Dordrecht: Kluwer. pp78-83.
ISBN: 0792349903
Click here for
full article in pdf format.
Nakanishi, C.: 1987, The Analysis of the Difficulties of Proof. In K. Koseki (ed.), The Teaching of Demonstration in Geometry. Tokyo: Meiji publisher, 129-58 [in Japanese].
Quadling, D.: 1996, A century of textbooks. Mathematical Gazette, 487, 119-26.
Royal Society: 2001, Teaching and Learning Geometry Pre-19, London, Royal Society/Joint Mathematical Council.
Schubring, G.: 1987, On the Methodology of Analysing Historical Textbooks: Lacroix as Textbook Author. For the Learning of Mathematics, 7(3), 41-51.
Siddons, A. W.: 1952, Godfrey and Siddons. Cambridge: Cambridge University Press.
Page updated 28 September 2006
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