以三年級數學領域能力指標為基礎的電腦適性測驗題庫系統

Computerized Adaptive Item Bank System Based on competence Indicators In Mathematics for Primary School Grade Three

王淑卿(SHU CHING WANG)

指導教授 ： 劉湘川

亞洲大學/資訊學院/資訊工程學系碩士班/碩士(2005年)

摘要

九年一貫三年級數學領域能力指標共有二十八個，每個能力指標又包含一至數個概念，若欲完整了解每位受試者關於能力指標的表現，每個概念都必須施測，則每位受試者所施測的題目多達六十幾題，使得施測的時間冗長，受測者疲累不堪、精神無法集中，導致施測結果產生誤差。
電腦化適性測驗具「因才施測」的特性，既可節省施測時間又能準確的評估學生的能力表現，國小三年級學生學習過三年級數學課程後，利用本系統可以很快的評估出該受試者的能力指標達成情形，並給予適性的補救教學。因此本研究將發展以「九年一貫數學領域三年級能力指標」為基礎的線上電腦化適性測驗之題庫系統，結合了電腦適性診斷測驗系統與線上補救教學系統，組成一套以「九年一貫數學領域三年級能力指標」為基礎的電腦適性診斷測驗系統，使得九年一貫課程實施之際，有一套質與量並重的評鑑工具。
在研究方法上，首先以NAEP的內容領域及認知分類之評量概念與Bloom 的教育目標分類，針對九年一貫課程數學領域三年級能力指標進行分析，將能力指標試題化。其次，因試題數繁多，必須分成若干個分測驗，本研究將採定錨試題設計，以試題反應理論等化模式，進行試題分析，利用BILOG-MG程式估計試題之難度、鑑別度、猜測度等參數及三年級各受試者能力值，將不同測驗的試題參數透過等化以同一量尺表示，再將試題上傳置入本系統之題庫中，以利線上施測。測驗的結果同時可以評鑑各版本教科書使用者的能力指標達成情形，作為各版本教科書編輯者的參考。

關鍵字

能力指標量尺 ； 題庫 ； 能力指標達成度

並列摘要

There are 28 learning ability indexes were disclosed The New 1-9 Curriulum for Math . More than that , each index includes one or more than one concept. In order to completely understand each testee’s performance toward learning ability index ,each concept then must be tested. In this case, being exhausted and disconcentrating, due to the fact that each testee must take a redundant time to finish more than 60 question, will lead the testing result to an inaccuracy.
Computerized adaptive test has the characteristic of “intelligence adaptively tested”, which can not only save testing time, but also accurately evaluate student’s performance. After the 3rd graders have learned Math for grade 3, their achievements of learning ability index will be soon tested by using this system, which will then give the students appropriate remedial instruction. Therefore, this study will develop a question archive of online computerized adaptive test based on Math learning ability index for grade 3 of The New 1-9 Curriulum, combining computerized adaptive diagnostic testing system and online remedial instruction system, forming a computerized adaptive diagnostic testing system based on Math learning ability index for grade 3 of The New 1-9 Curriulum, and offering a quality and quantity paralleled testing tool while The New 1-9 Curriulum is executed.
As to research methods, the first method is analyzing Math learning ability index for grade 3 of The New 1-9 Curriulum and embodying learning ability index into test questions with NAEP content area as well as the evaluative concept of cognitive category and Bloom’s learning goal category. Next, owing to numerous test questions, several subtests must be undertaken. This study adopts an anchoring test design, analyze the questions with equalized model based on the item response theory, using BILOG-MG program to estimate three parameters, the difficulty,discrimination together with pseudo-chance parameter, and the testee’s ability value of grade 3, equalizing the item parameter of various tests with the same scale, and sending as well as building the questions into the question archive of this system for better use of online testing. The result of this test can simultaneously evaluate every version of textbook users, achievements of learning ability index and be used as reference for textbook editors.

並列關鍵字

learning ability index scale ； item bank ； achievement of ability index

參考文獻

[12] 教育部（2003）：

[10]劉泰成（2005）：以三年級數學科能力指標為基礎的電腦適性測驗補救教學系統。台中暨健康管理學院資訊工程研究所碩士論文。

[9]鄧景麟（2005）：以三年級數學科能力指標為基礎的電腦適性測驗評量系統。台中暨健康管理學院資訊工程研究所碩士論文。

[17]鄭蕙如（2001）：九年一貫課程數學領域評鑑工具發展之研究。國立台灣師範大學教育心理與輔導研究所碩士論文。

[3]Lord, F. M.（1980）. Application of item response theory to practical testing problems. Hillsdale , NJ :Lawrence Erlbaum Associates.