以貝氏網路為基礎之能力指標測驗編製及補救教學動畫製作 – 以五年級數學領域小數相關指標為例

Competence Indicators Test and Remedial Instruction Developments Based and Bayesian Networks _ The Decimal Fraction Number Related Indicators of Mathematic in Grade 5

董錫霖(Tung Hsi Lin)

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(2006年)

摘要

摘要 傳統的測驗僅能呈現出學生的分數水準，卻無法診斷出每一個學生在階段學習後所欠缺的技能，或是犯了哪些錯誤類型，老師們也只能挑出全體學生錯誤最多的題目，做整體性的補救教學。然而每個學生做錯的題目未必一樣，犯的錯誤類型也不盡相同，倘若能依照每個學生個別的需求來進行補救教學，會更有效果。 本研究擬以國小五年級數學小數相關能力指標為範圍，嘗試以機率推理為基礎的貝氏網路作為分析工具，探討貝氏網路應用於診斷學生錯誤類型的可行性。同時根據錯誤類型，製作補救教學動畫，發展一套智慧型的線上測驗及補救教學系統。當學生測驗完畢之後，即時呈現作答結果、錯誤類型的診斷情形，並根據錯誤類型的分布狀況，進行個別化的線上電腦化補救教學。 根據本研究的結果分析，可以得到以下結論： ㄧ、電腦化診斷測驗部分 當使用動態分類決斷值時，錯誤類型分類辨識率高達95.69%，能力指標與子技能的分類辨識率也高達92.33%，所以貝氏網路的推論在國小五年級小數相關能力指標的診斷測驗具有可行性。 二、電腦化補救教學部分 學生成績進步情形，以前、後測成績成對樣本t檢定分析，達到顯著水準，證實本研究的電腦化補救教學動畫具有可行性。而學生依照不同的錯誤類型進行個別化適性補救教學是傳統測驗無法做到的，這是本研究的一大特色與優勢。 關鍵詞：錯誤類型、電腦化診斷測驗、適性補救教學

關鍵字

錯誤類型 ； 電腦化診斷測驗 ； 適性補救教學

並列摘要

Abstract
We get nothing but scores from traditional paper test. It can not show the details such as weaknesses and mistaken types. According to the circumstance, teachers can only offer the remedy instructions based on the most mistaken types. In fact, variety weaknesses cause to different mistaken types.
The main idea of the study is to research the ability index of decimal on Grade 5 and demonstrate the applicable of students mistaken types based on Bayesian Networks which is a probability analysis method. Students attend the test through the Learning Educational Program online, which is developed based on the index of Grade 1-9 Curriculum. The system can show the subject comprehension and begin to the Learning Educational Program on the basis of the mistaken type distribution.
Due to the analysis result, there are two conclusions as below.
1. Computerized diagnosing test part
Using the dynamic classified decision-point to identify the mistaken types and ability & sub-skills classified index, the scores are up to 95.69% and 92.33% respectively. It is suitable to use the ability index of decimal on Grade 5 by Bayesian Networks.
2. Computerized remedy instructions part
One of the program advantages is to give individual remedy instructions based on mistaken types, and it is un-available by traditional paper test. According to the t-test result on the scores which come from adopting and un-adopting remedy instructions groups, it is significantly effective to use the program.
Keywords: Mistaken Types、Computerized Diagnosing Test、Adaptive Remedy Instructions

並列關鍵字

Mistaken Types ； Computerized Diagnosing Test ； Adaptive Remedy Instructions

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