臺灣博碩士論文加值系統

空間能力是日常生活中必需的能力之一，故發展空間能力的測驗也就相當重要，而五連方本身規則簡單卻又多變，適合做為發展空間能力的素材。然而，目前卻無針對五連方翻轉的研究，因此本研究目的為探討在以五連方作為測驗素材的空間能力試題中，五連方之翻轉對試題難度的影響，定義了兩種可能的因素：翻轉次數及差異度，以期作為未來的相關測驗編製之參考。
本研究建構一線上測驗系統，內含「單一五連方翻轉」及「五連方翻轉組合」兩測驗，並藉由測驗結果探討翻轉次數及翻轉差異度對試題難度的影響。本研究中有兩個參數，翻轉次數為解題過程中五連方所需翻轉的次數；翻轉差異度則是五連方翻轉前後位置相異的方塊總數。
受試者為新北市板橋市大觀國小四至六年級共107名學生，並利用學生之數學期中考成績做為測驗之外在效標。
本研究結果如下：
1. 翻轉次數及翻轉差異度皆影響試題難度，且與題目難度呈顯著正相關。
2. 在「單一五連方翻轉」中，發現除了翻轉次數及翻轉差異度外，受試者對於圖形的熟悉度也會影響試題難度。
3. 兩測驗的結果顯示兩性在前青春期的空間視覺能力並無顯著差異。
4. 「五連方翻轉組合」之虛擬題庫測驗結果也與受試者之數學成績呈正相關，顯示本系統可測量受試者之空間視覺能力。

Spatial Ability is one of essential ability of daily life, therefore it’s very important to develop spatial test, and the simplicity and variability of Pentomino make it a good material for spatial ability test. Since there is no research about the flipping of Pentomino, this study will investigate how flipping times and degree of flipping discrepancy influence item difficulty of Pentomino spatial ability test. The aim of this study was providing reference for the development of relevant tests.
We conducted a online testing system, including two tests: flipping of single Pentomino and flipping of Pentomino combinations, then analyzed the result of tests. There were two factors in this study: flipping times and degree of flipping discrepancy, flipping times was how many times of Pentomino flipping needed to construct the correct answer; flipping discrepancy was the differential of how many squares of Pentomino after flipping.
Participants were 107 students of fourth to sixth grade of elementary school in New Taipei City, and their mid-term mathematic examination scores were taken as external criterion of flipping of Pentomino combinations.
The results are listed below:
1. Both flipping times and degree of flipping discrepancy influence item difficulty, and had a positive correlation.
2. Familiarity influence item difficulty in flipping of single Pentomino.
3. There is no gender difference at pre-teen in spatial visualization.
4. The result of virtual item bank of flipping of Pentomino combinations shows a significant positive correlation with mid-term mathematic examination scores, showing the validity of testing ability of spatial visualization.

摘要 i
Abstract ii
目次 iii
表次 v
圖次 vi
第一章 緒論 1
第一節 研究背景與動機 1
第二節 研究目的 4
第三節 研究問題 4
第二章 文獻探討 5
第一節 空間能力 5
第二節 空間能力測驗 8
第三節 空間能力因素 12
第四節 五連方 15
第五節 虛擬題庫 16
第六節 平面幾何圖形相關研究 16
第三章 研究方法與程序 20
第一節 受試者 20
第二節 研究設計 20
第三節 研究工具 23
第四節 實施程序 27
第四章 結果與討論 29
第一節 單一五連方翻轉測驗之分析結果 29
第二節 五連方翻轉組合測驗之分析結果 34
第三節 綜合討論 40
第五章 結論與建議 42
第一節 結論 42
第二節 建議 43
參考文獻 44
附錄一 五連方翻轉組合測驗例題 48
附錄二 系統介面及流程說明 52
附錄三 單一五連方翻轉測驗全部試題及答題狀況 58

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