研究生: |
王方均 Wang, Fang-Jiun |
---|---|
論文名稱: |
探討高中生在兩變項間關係的推理能力 |
指導教授: |
楊凱琳
Yang, Kai-Lin |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
論文出版年: | 2019 |
畢業學年度: | 107 |
語文別: | 中文 |
論文頁數: | 77 |
中文關鍵詞: | 統計推理 、相關性 、關聯性 、散布圖 、列聯表 |
DOI URL: | http://doi.org/10.6345/NTNU201900813 |
論文種類: | 學術論文 |
相關次數: | 點閱:109 下載:1 |
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在日常生活中可以發現時常會想要探討兩變項間的關係性,其中兩連續變項的關係性為相關性,通常以散布圖來呈現數據;兩類別變項的關係性為關聯性,通常會以列聯表呈現數據。此研究最主要是想探討這兩者間的關係為何。
先前對於相關性的研究大多皆為在探討學生對於相關的迷思概念,尚未有探討學生對相關係數公式的關係性理解,因此此研究想探討學生對於相關係數公式的關係性理解和相關係數公式的理解間的關聯性為何。另外,有許多研究探討學生對於列聯表關聯性推理的策略與迷思概念有哪些,其中也指出關聯性推理能力並非直觀的能力,但小學生可以進行自發性的推理。因此此研究想瞭解學生是否可以成功將相關概念與公式的理解轉化到列聯表的關聯性推理。
此研究發現相關係數公式的理解和相關概念的理解彼此相輔相成,因此在教學中可以以關係性理解的方式進行相關係數公式的教學,如此可以幫助學生能更理解相關概念,並且可以減少產生迷思概念。而且此研究發現若相關概念與公式的理解夠清楚的話,學生的列聯表關聯性推理也會較能判斷正確。若能加強這個部分,而非只是採取條件分布的關聯性推理策略進行推理的話,學生在判斷不同數字結構的列聯表關聯性時,便不會受數字結構的影響而皆能判斷正確。另一方面,此研究還發現統計不確定性概念是很重要的判斷因素,若能加強學生對統計不確定性概念的話,即使是以條件分布的關聯性推理策略來進行推理的話,也較能判斷正確。
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