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Reasoning in geometry

Reasoning in geometry
Reasoning in geometry
This chapter deals with the specific features of reasoning in geometry, including general aspects and specific case studies for different age groups carried out in different countries. The five sections of the chapter discuss and illustrate examples of main new trends in reasoning in geometry. The sections comprise a meta-cognitive analysis of geometrical reasoning processes and their interactions with other thinking processes, two sections that discuss theory and curriculum development that demonstrate what is called now “learning geometry from context”, a section on the roles of pupils’ spatial knowledge in geometry learning, and an analysis of how pupils interweave intuitive-visual reasoning and deductive reasoning. Together, the sections illustrate three main trends in learning geometrical reasoning; reasoning in building proofs, reasoning in geometry from contexts, and visual reasoning.
mathematics, education, geometry, reasoning
1387-6872
29-83
Kluwer
Hershkowitz, Rina
024e4d0a-cfb3-493c-b375-1d16700f6f97
Duval, Raymond
f6adafe7-4c47-4667-ac56-a864e438eb3b
Bartolini Bussi, Maria G.
7bc51910-4181-4a1f-afb2-9837e6c418a6
Boero, Paolo
4128281d-f926-470f-bad7-8c7218e03fcf
Lehrer, Richard
b2b824fc-e808-42a5-8d6b-0ac7168266cd
Romberg, Thomas
8fef3d53-d6c5-4c02-a3aa-4c06f1fec078
Berthelot, R.
e5fc0e82-827e-4337-a83f-51e4a6a5215f
Salin, M. H.
9330fc9a-1a6f-4d0e-b7dc-cde0f6f03964
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Mammana, Carmelo
Villani, Vinicio
Hershkowitz, Rina
024e4d0a-cfb3-493c-b375-1d16700f6f97
Duval, Raymond
f6adafe7-4c47-4667-ac56-a864e438eb3b
Bartolini Bussi, Maria G.
7bc51910-4181-4a1f-afb2-9837e6c418a6
Boero, Paolo
4128281d-f926-470f-bad7-8c7218e03fcf
Lehrer, Richard
b2b824fc-e808-42a5-8d6b-0ac7168266cd
Romberg, Thomas
8fef3d53-d6c5-4c02-a3aa-4c06f1fec078
Berthelot, R.
e5fc0e82-827e-4337-a83f-51e4a6a5215f
Salin, M. H.
9330fc9a-1a6f-4d0e-b7dc-cde0f6f03964
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Mammana, Carmelo
Villani, Vinicio

Hershkowitz, Rina, Duval, Raymond, Bartolini Bussi, Maria G., Boero, Paolo, Lehrer, Richard, Romberg, Thomas, Berthelot, R., Salin, M. H. and Jones, Keith (1998) Reasoning in geometry. In, Mammana, Carmelo and Villani, Vinicio (eds.) Perspectives on the teaching of geometry for the 21st Century: An ICMI study. (New ICMI Study Series, 5) ICMI Study 9 Conference on Perspectives on the Teaching of Geometry for the 21st Century (27/09/95 - 02/10/95) Dordrecht, NL. Kluwer, pp. 29-83. (doi:10.1007/978-94-011-5226-6_3).

Record type: Book Section

Abstract

This chapter deals with the specific features of reasoning in geometry, including general aspects and specific case studies for different age groups carried out in different countries. The five sections of the chapter discuss and illustrate examples of main new trends in reasoning in geometry. The sections comprise a meta-cognitive analysis of geometrical reasoning processes and their interactions with other thinking processes, two sections that discuss theory and curriculum development that demonstrate what is called now “learning geometry from context”, a section on the roles of pupils’ spatial knowledge in geometry learning, and an analysis of how pupils interweave intuitive-visual reasoning and deductive reasoning. Together, the sections illustrate three main trends in learning geometrical reasoning; reasoning in building proofs, reasoning in geometry from contexts, and visual reasoning.

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More information

Published date: 31 March 1998
Venue - Dates: ICMI Study 9 Conference on Perspectives on the Teaching of Geometry for the 21st Century, University of Catania, Catania, Italy, 1995-09-27 - 1995-10-02
Keywords: mathematics, education, geometry, reasoning

Identifiers

Local EPrints ID: 445774
URI: http://eprints.soton.ac.uk/id/eprint/445774
ISSN: 1387-6872
PURE UUID: c8c038e4-f036-4956-90c2-e2bd6e888bb1
ORCID for Keith Jones: ORCID iD orcid.org/0000-0003-3677-8802

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Date deposited: 07 Jan 2021 17:33
Last modified: 08 Jan 2022 07:57

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Contributors

Author: Rina Hershkowitz
Author: Raymond Duval
Author: Maria G. Bartolini Bussi
Author: Paolo Boero
Author: Richard Lehrer
Author: Thomas Romberg
Author: R. Berthelot
Author: M. H. Salin
Author: Keith Jones ORCID iD
Editor: Carmelo Mammana
Editor: Vinicio Villani

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