@article{93341d0a132e4fa8b586e8fc92478801,
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.",
year = "2002",
doi = "10.1007/BF02655689",
language = "English",
volume = "34",
pages = "17--28",
journal = "ZDM - International Journal on Mathematics Education",
issn = "1863-9690",
publisher = "Springer Verlag",
number = "1",
}