行動載具應用於數學橢圓單元之教學成效

Abstract

動態幾何軟體對於數學幾何概念及概念心像的建構有正面助益，唯因環境與硬體支援的缺乏，使得其僅淪為精緻的繪圖與展示工具。行動載具的發展，讓軟體、硬體整合數學課堂教學有了新的契機，透過科技輔助讓靜態幾何教學成為可動態操弄圖形的實驗科學。 Sfard提出學習者透過具體化操弄得到概念的存在性，Dubinsky認為概念發展的步驟為行動、心智程序、物件與基模。鑑於此，本研究開發動態幾何教學系統，融合平版電腦與代數幾何軟體GeoGebra於數學課堂教學中，提供可即時操弄的動態多重表徵與視覺化模組。研究結果對橢圓學習、概念發展及運用多重表徵解題有顯著成效。

Dynamic geometry software helps us to construct the mathematics geometric concepts and concept images. However, due to the lack of the environment and hardware support, it just becomes a fine drawing board and a display tool. The development of mobile technology creates new opportunities on integration of software, hardware, and traditional mathematics classroom teaching. Therefore, technology enables the static geometry teaching become experimental science. Sfard proposes that the existence of the concept can be obtained through learners' concrete manipulation. Dubinsky indicated that the steps of concept development are actions, processes, objects and schemas. Therefore, this research aims to develop dynamic geometry teaching system in order to integrate TablePC and GeoGebra on mathematics classroom instruction. The system provides real-time dynamic module with multiple representations and visualization. The findings of this study are better learning effect, conceptual development, problems solving by using multiple representations.