Third- to fourth-grade students' conceptions of multiplication and area measurement

University of Taipei > 教育學院 > 學習媒材設計學系(含課程與教學碩士班) > 期刊論文 > Item 987654321/12652

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题名:	Third- to fourth-grade students' conceptions of multiplication and area measurement
作者:	Hsin-Mei E. Huang, 黃幸美
贡献者:	臺北市立大學學習與媒材系
关键词:	multiplicative thinking;area measurement;the area formula of a rectangle
日期:	2014-07
上传时间:	2014-11-07 10:28:14 (UTC+8)
出版者:	Springer Berlin Heidelberg
摘要:	In this study, 34 children were evaluated in order to elucidate their multiplicative thinking and interpretation of the area formula of a rectangle, and to determine what roles these factors play in solving area measurement problems. One-on-one interviews and problem-solving tasks were employed to explore the problem-solving skills of the children regarding these two concepts. This study also explored how the associations changed throughout two consecutive phases, from the third to the fourth grades. The results indicated that in the third grade, multiplicative thinking was associated with the solving of area measurement problems. Third-grade children who understood the meaning of the multiplication symbol “p × q” in models (e.g., the set model and arrays) outperformed children who understood only partial multiplicative concepts or additive thinking; however, the association between multiplicative thinking and solving area measurement problems was not significant in the fourth grade. In contrast, children’s ability to interpret the area formula of a rectangle was associated with their performance at solving area measurement problems throughout the third and fourth grades. The way of interpreting the area formula was associated with the extent to which the children understood multiplication, area measurement, and the spatial concepts embedded in rectangular figures. The instructional implications of the study are discussed in terms of developing child abilities to solve area measurement problems by connecting multiplication and area measurement.
關聯:	ZDM: The International Journal on Mathematics Education，v.46n.3，p.449-463
显示于类别:	[學習媒材設計學系(含課程與教學碩士班)] 期刊論文

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