大三學生圖論概念學習之個案研究

Abstract

本研究採用個案研究法，藉由對個案所搜集的資料進行分析，目的在找出個案學生對圖論概念的想法與認知架構，並探討影響個案學習成就低落的因素。本研究發現：在「圖論」課程中，學生在証明題上的作答能力與學習成就有相當的關聯；而「師生互動」和「同儕討論」對學生概念的發展有絕對正向的影響。最後根據研究中所發現的結果，提出幾項建議，以做為未來「數學課程」在教學上的參考。

A case study was used to study a junior student’s conceptual understanding of graph theory. Factors that affected the learning achievement were also explored in this study. Research results showed a relationship between proof ability and learning achievement. Teacher-student interactions and peer discussions are also found to affect the student’s conceptual development. Suggestions of teaching based on this study are included.