Teaching geometrical theorems in grade 8 using the “Shen Tou” method: a case study in Shanghai
Teaching geometrical theorems in grade 8 using the “Shen Tou” method: a case study in Shanghai
The teaching of geometry, especially the teaching of proof in geometry, is central to mathematics education in China at the lower secondary school level. This chapter uses a case study of how an expert mathematics teacher in Shanghai taught geometrical theorems to a class of Grade 8 students (aged 13-14 years) to illustrate the ‘Shen Tou’ (‘permeation’) method of teaching the initial stages of plane geometry. Comprising a set of teaching strategies, the ‘Shen Tou’ method aims gradually to develop the multiple layers of reasoning skills required in geometry, especially the skills to use geometrical language in writing proofs
geometry, teaching, proof, mathematics education, China, secondary school, Shanghai
9789814415811
279-312
Ding, Liping
e04dabec-984e-4644-b838-16fba10454d2
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Zhang, Dianzhou
c733da15-7d6b-42d9-b40a-6b9dd4a63ac9
April 2015
Ding, Liping
e04dabec-984e-4644-b838-16fba10454d2
Jones, Keith
ea790452-883e-419b-87c1-cffad17f868f
Zhang, Dianzhou
c733da15-7d6b-42d9-b40a-6b9dd4a63ac9
Ding, Liping, Jones, Keith and Zhang, Dianzhou
(2015)
Teaching geometrical theorems in grade 8 using the “Shen Tou” method: a case study in Shanghai.
In,
Fan, L., Wong, N.-Y., Cai, J. and Li, S.
(eds.)
How Chinese teach mathematics: Perspectives from insiders.
(Series on Mathematics Education, 6)
World Scientific, .
(doi:10.1142/9789814415828_0009).
Record type:
Book Section
Abstract
The teaching of geometry, especially the teaching of proof in geometry, is central to mathematics education in China at the lower secondary school level. This chapter uses a case study of how an expert mathematics teacher in Shanghai taught geometrical theorems to a class of Grade 8 students (aged 13-14 years) to illustrate the ‘Shen Tou’ (‘permeation’) method of teaching the initial stages of plane geometry. Comprising a set of teaching strategies, the ‘Shen Tou’ method aims gradually to develop the multiple layers of reasoning skills required in geometry, especially the skills to use geometrical language in writing proofs
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Published date: April 2015
Keywords:
geometry, teaching, proof, mathematics education, China, secondary school, Shanghai
Organisations:
Mathematics, Science & Health Education
Identifiers
Local EPrints ID: 385401
URI: http://eprints.soton.ac.uk/id/eprint/385401
ISBN: 9789814415811
PURE UUID: f0bf16dc-0bfe-4104-b597-b184c6141016
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Date deposited: 21 Jan 2016 14:44
Last modified: 14 Mar 2024 22:17
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Contributors
Author:
Liping Ding
Author:
Dianzhou Zhang
Editor:
L. Fan
Editor:
N.-Y. Wong
Editor:
J. Cai
Editor:
S. Li
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