The design of geometry teaching: learning from the geometry textbooks of Godfrey and Siddons
The design of geometry teaching: learning from the geometry textbooks of Godfrey and Siddons
Deciding how to teach geometry remains a demanding task with one of major arguments being about how to combine the intuitive and deductive aspects of geometry into an effective teaching design. In order to try to obtain an insight into tackling this issue, this paper reports an analysis of innovative geometry textbooks which were published in the early part of the 20th Century, a time when significant efforts were being made to improve the teaching and learning of geometry. The analysis suggests that the notion of the ‘geometrical eye’, the ability to see geometrical properties detach themselves from a figure, might be a potent tool for building effectively on geometrical intuition so as to provide a bridge into deductive geometry.
pedagogy, curriculum, teaching, learning, geometry, mathematics, England, geometric, geometrical, textbook, deductive reasoning, proof, conjecturing, inductive reasoning, school, mathematical, textbooks, Godfrey, Siddons
13-18
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
2002
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Fujita, Taro and Jones, Keith
(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), .
Abstract
Deciding how to teach geometry remains a demanding task with one of major arguments being about how to combine the intuitive and deductive aspects of geometry into an effective teaching design. In order to try to obtain an insight into tackling this issue, this paper reports an analysis of innovative geometry textbooks which were published in the early part of the 20th Century, a time when significant efforts were being made to improve the teaching and learning of geometry. The analysis suggests that the notion of the ‘geometrical eye’, the ability to see geometrical properties detach themselves from a figure, might be a potent tool for building effectively on geometrical intuition so as to provide a bridge into deductive geometry.
Text
Fujita_Jones_BSRLM_22_2_2002.pdf
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More information
Published date: 2002
Keywords:
pedagogy, curriculum, teaching, learning, geometry, mathematics, England, geometric, geometrical, textbook, deductive reasoning, proof, conjecturing, inductive reasoning, school, mathematical, textbooks, Godfrey, Siddons
Organisations:
Mathematics, Science & Health Education
Identifiers
Local EPrints ID: 41292
URI: http://eprints.soton.ac.uk/id/eprint/41292
ISSN: 1463-6840
PURE UUID: 9523f310-697b-4d67-87e3-ecce64a21550
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Date deposited: 15 Aug 2006
Last modified: 15 Mar 2024 08:27
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Contributors
Author:
Taro Fujita
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