臺灣博碩士論文加值系統

本研究旨在探析國小五年級學生運用數學問題解決策略之學習表現，特別針對學生們在表面積單元的學習活動歷程中之學習表現進行深入探析。本研究採質性之個案分析方法，並以嘉義市某國小五年級學生為研究對象。研究結果顯示：數學問題解決策略之學習活動對學生之數學學習表現有正向助益，包含：有系統地進行數學問題解決與理解概念、與同儕進行互動和互助學習、反思自我學習狀況、及提升口語表達能力。其次，個案教師運用數學問題解決策略融入表面積的教學設計與實施頗具適切性，除能有效提升學生之數學學習動機外，亦能提升學生之學習表現與成效。最後，根據研究結果與討論提出具體的研究建議。

This study aimed to explore fifth-graders’ learning performance on applying mathematical problem-solving strategies into the unit of surface area during the whole learning process. A qualitative case study approach was employed in this study, where fifth graders of an elementary school in Chiayi City were the main participants. Based on the results of data analysis, it was found that: The targeted learning activities of applying mathematical problem-solving strategies were beneficial for those fifth-graders’ learning performance, which included solving mathematical problems systematically and comprehending the targeted concepts, interacting with peers and learning collaboratively, reflecting her/his own learning conditions, and advancing her/his capability of oral expression. Besides, the targeted students’ teacher appropriately applied mathematical problem-solving strategies into the design and implementation of the “surface area” unit. In this teaching and learning process, students’ learning motives were positively promoted, which led to advancing their learning performance and outcome. Finally, concrete suggestions were proposed based on the research findings and discussions for future improvements.

中文摘要 i
Abstract ii
謝誌 iv
目次 v
表次 vii
圖次 viii
第一章 緒論 1
第一節 研究動機 1
第二節 研究問題與目的 5
第三節 名詞釋義 6
第四節 研究範圍與限制 7
第二章 文獻探討 9
第一節 數學問題解決 9
第二節 國小高年級幾何教學內容 33
第三節 表面積之迷思概念 41
第三章 研究設計 47
第一節 研究方法與對象 47
第二節 教學設計 52
第三節 資料蒐集與處理 55
第四節 研究倫理 60
第四章 研究結果與討論 63
第一節 學生之數學學習課前評估分析 63
第二節 學生於問題解決策略活動中之學習表現 73
第三節 學生於問題解決策略活動中之學習成效 92
第五章 研究結論與建議 107
第一節 研究結論 107
第二節 建議 110
參考文獻 113
一、中文文獻 113
二、外文文獻 117
附錄一 127
附錄二 128

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