使用CAS之微積分實驗教學之成效研究

Abstract

本計劃之目的是探察利用數學軟學Maple 設計之實驗活動教材進行微積分教學之成效。尤其 是學生在以問題為主（problem based）的數學活動中的解題思考過程，以及學生如何透過數 學軟學在數值、幾何及代數，三方面的呈現，建立微積分課程之重要觀念。本計劃擬以質性 的研究方法進行分析，並採訊息加工處理理論的觀點，對學生解題過程中所用的知識表徵加 以識別。

The goal of this study is to investigate the effects of teaching calculus with problem-based Maple calculus laboratorial modules which I have done in these two years. Especially, how the students adopt visual way of reasoning and establish the connection between the visual representation of calculus concepts and their algebraic description; how the students approaches problems by graphical, numerical and algebraic means.