Defining a rectangle under a social and practical setting by two seventh graders

Fou Lai Lin; Kai Lin Yang

doi:10.1007/BF02655689

Defining a rectangle under a social and practical setting by two seventh graders

Fou Lai Lin^*
, Kai Lin Yang

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Regarding defining as a mathematical activity bridging informal to formal proof, two seventh graders will reinvent the definition of rectangles under a social and practical setting based on their informal argumentation. Their apprehensions of figures, implicit concepts/theorems and the cognitive architecture of defining are discussed in this paper.

Original language	English
Pages (from-to)	17-28
Number of pages	12
Journal	ZDM - International Journal on Mathematics Education
Volume	34
Issue number	1
DOIs	https://doi.org/10.1007/BF02655689
Publication status	Published - 2002

ASJC Scopus subject areas

Education
General Mathematics

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10.1007/BF02655689

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title = "Defining a rectangle under a social and practical setting by two seventh graders",

abstract = "Regarding defining as a mathematical activity bridging informal to formal proof, two seventh graders will reinvent the definition of rectangles under a social and practical setting based on their informal argumentation. Their apprehensions of figures, implicit concepts/theorems and the cognitive architecture of defining are discussed in this paper.",

author = "Lin, \{Fou Lai\} and Yang, \{Kai Lin\}",

note = "Funding Information: This work was funded by the National Science Council of Taiwan ( NSC 89-2511-S-003-103 ). We are grateful to the members of the research team, Tam, H.P., Yu Wu, J.Y., Chen, C.Y., Chen, E.R., Lin, C.Z., Hao, S.C, Lin, J.H., Lee, E.F. and Liang, H.J., who have made their contributions on analyzing the transcriptions and developing some ideas of this paper. Views and opinions are those of authors and not necessarily those of NSC. Particularly we thank R. Duval for these valuable comments on some analysis of this paper.",

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AU - Lin, Fou Lai

AU - Yang, Kai Lin

N1 - Funding Information: This work was funded by the National Science Council of Taiwan ( NSC 89-2511-S-003-103 ). We are grateful to the members of the research team, Tam, H.P., Yu Wu, J.Y., Chen, C.Y., Chen, E.R., Lin, C.Z., Hao, S.C, Lin, J.H., Lee, E.F. and Liang, H.J., who have made their contributions on analyzing the transcriptions and developing some ideas of this paper. Views and opinions are those of authors and not necessarily those of NSC. Particularly we thank R. Duval for these valuable comments on some analysis of this paper.

PY - 2002

Y1 - 2002

N2 - Regarding defining as a mathematical activity bridging informal to formal proof, two seventh graders will reinvent the definition of rectangles under a social and practical setting based on their informal argumentation. Their apprehensions of figures, implicit concepts/theorems and the cognitive architecture of defining are discussed in this paper.

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Defining a rectangle under a social and practical setting by two seventh graders

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