Strengthening students’ understanding of ‘proof’ in geometry in lower secondary school
Strengthening students’ understanding of ‘proof’ in geometry in lower secondary school
This paper reports findings that indicate that as many as 80% of lower secondary age students can continue to consider that experimental verifications are enough to demonstrate that geometrical statements are true - even while, at the same time, understanding that proof is required to demonstrate that geometrical statements are true. Further data show that attending more closely to the matter of the ‘Generality of proof’ can disturb students’ beliefs about experimental verification and make deductive proof meaningful for them.
mathematics, education, proof
756-765
European Society for Research in Mathematics Education
Kunimune, Susumu
c1255c4f-6293-4a26-a8b6-ff02013e3192
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc
1 February 2010
Kunimune, Susumu
c1255c4f-6293-4a26-a8b6-ff02013e3192
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Fujita, Taro
8a05b8fc-a1ce-4a7b-9399-3fb00639a3cc
Kunimune, Susumu, Jones, Keith and Fujita, Taro
(2010)
Strengthening students’ understanding of ‘proof’ in geometry in lower secondary school.
Durand-Guerrier, Viviane, Soury-Lavergne, Sophie and Arzarello, Ferdinando
(eds.)
In Proceedings of the 6th Congress of the European Society for Research in Mathematics Education (CERME6).
European Society for Research in Mathematics Education.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
This paper reports findings that indicate that as many as 80% of lower secondary age students can continue to consider that experimental verifications are enough to demonstrate that geometrical statements are true - even while, at the same time, understanding that proof is required to demonstrate that geometrical statements are true. Further data show that attending more closely to the matter of the ‘Generality of proof’ can disturb students’ beliefs about experimental verification and make deductive proof meaningful for them.
Text
Kunimune-etc_strengthening_proof_CERME6_2010
- Accepted Manuscript
More information
Published date: 1 February 2010
Venue - Dates:
6th Congress of the European Society for Research in Mathematics Education, Université Claude Bernard Lyon 1, Lyon, France, 2009-01-28 - 2009-02-01
Keywords:
mathematics, education, proof
Identifiers
Local EPrints ID: 445829
URI: http://eprints.soton.ac.uk/id/eprint/445829
PURE UUID: 4d17fda2-d4f7-4761-b54e-f82f7d4acac2
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Date deposited: 08 Jan 2021 17:31
Last modified: 16 Mar 2024 10:25
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Contributors
Author:
Susumu Kunimune
Author:
Taro Fujita
Editor:
Viviane Durand-Guerrier
Editor:
Sophie Soury-Lavergne
Editor:
Ferdinando Arzarello
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