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  • 會議論文

可操作動態視覺化基本函數微分設計及其成效研究-一種新式課程的嘗試

摘要


本研究利用認知理論過程與成果的不同層次,建構基本函數微分的學習。學習者在此建構的環境下,可以藉由滑鼠的移動,探測某一數值的微分,也可以將這些微分的數值蒐集後,成為新的函數物件。與過去不同的是,所有的控制,移動,都是從圖形的觀點,我們稱為可直接行動的圖形。學生經由反覆的操作,生成心象,最後再介入代數符號的學習。

關鍵字

微分 電腦輔助學習

並列摘要


In this study, the authors use the process and product different levels of cognitive concepts to construct dynamic microworld for learning the basic concepts of differentiation. In this microworld, user can drag and move the object via the mouse to explore differentiation of a particular point. The differentiation points can be collected to form a new graphic object automatically. Once user changes the parameter of polynomial, the new graphic differentiation would be followed to change. Hence, user can act back and forth to form an iconic concept, a symbolic algebraic concept will be learned at last.

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