整合二維空間幾何與面積概念的課程與教學試驗

An Experiment of Two-Dimensional Spatial Geometry and Area Measurement Concepts Integrated Curriculum and Instruction

黃幸美(Hsin-Mei E. Huang)

《科學教育學刊》 17卷6期 (2009/12) Pp. 509-530

https://doi.org/10.6173/CJSE.2009.1706.02

摘要

本研究目的在於探討三個不同的二維空間幾何與面積概念整合的實驗課程，對於增進兒童理解面積公式與解決面積問題能力的影響。研究對象取自台北市一所公立小學四個班級之120位四年級兒童，隨機分派至三個教學實驗組（面積組、幾何與面積組、幾何組）與控制組。研究結果發現，幾何與面積測量連結的課程與教學，有助於培養兒童的面積問題解決能力，此助益效果尤其彰顯在解決面積概念理解的問題。其他實驗課程與教學的助益效果，則未呈顯著。從晤談兒童的資料分析，實驗組兒童比控制組兒童傾向於使用面積公式解題，以及改變原先低效率或無效率的策略，以使用面積公式解題。本研究對增進兒童的面積概念理解與問題解決能力，提出相關的課程與教學建議。

關鍵字

二維空間幾何概念 ； 面積測量 ； 概念理解 ； 問題解決

並列摘要

The purpose of this study was to examine the effects of the three experimental curricula that integrated two-dimensional spatial geometry and area measurement concepts in different combinations on improving children's construction of the area formulas and their ability to solve area measurement problems. The participants (N=120 fourth-grade children) who came from four classes in an elementary school in Taipei, Taiwan, were randomly assigned to the three experimental-curriculum groups (area measurement group, two-dimensional spatial geometry and area measurement group, two-dimensional spatial geometry group) and the control group. The results showed that the curriculum that integrated two-dimensional spatial geometry with area measurement significantly strengthened children's ability to solve area measurement problems. Specially, it facilitated children's improvement at solving problems that required conceptual understanding of area measurement. Nevertheless, this effect did not show in the other experimental curricula. Additionally, the interview data revealed that the children who received the experimental curricula were more likely to use the area formulas to solve area measurement problems than the control group. Furthermore, they tended to change their initial less efficient strategy (or inefficient strategy) to the use of the area formulas. Overall, the study provided the evidence and suggestions for enhancing children's conceptual understanding of area measurement and problem-solving ability.

並列關鍵字

Two-Dimensional Spatial Geometry ； Area Measurement ； Problem Solving ； Conceptual Understanding

參考文獻

黃幸美(2003)。討論與真實情境對兒童解決問題的影響。教育研究集刊。49(1)，95-133。

Battista, M. T.,Clements, D. H.,Arnoff, J.,Battista, K.,Van Auken Borrow, C.(1998).Students' spatial structuring of 2D arrays of squares.Journal for Research in Mathematics Education.29,503-532.

Battista, M. T.,D. H. Clements (Eds.),G. Bright (Eds.)(2003).Learning and teaching measurement. 2003 year book.Reston, VA:NCTM.

Bell, A. W.,Costello, J.,Küchemann, D.(1983).Part A. research on learning and teaching.England, Windsor:NFER-Nelson Publishing Company.

Bonotto, C.,D. H. Clements (Eds.),G. Bright (Eds.)(2003).Learning and teaching measurement. 2003 year book.Reston, VA:NCTM.