國小五年級數學領域概數與估算單元數位個別指導模式之研發

The Development of Digital Learning Content for Individual Instruction－using the “round number and estimation” unit in 5th grade as an example

吳玫君(Wu mei chun)

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(2008年)

摘要

本研究的目的在以國小五年級「概數與估算」單元為教學內容，研發數位個別指導模式並進行教學成效之評估，所謂「數位個別指導模式研發」是指在國小五年級概數與估算單元建立一套以結合知識結構與貝氏網路為基礎之電腦適性診斷測驗，及進行數位個別指導教材之編製，包括教學媒體、教材和線上補救教學動畫，提供教師在教學中使用。此外，為評估此教學模式之實施成效，本研究將受試者分為個別指導組與團班教學組進行教學實驗，在教學後透過施測成果探討數位個別指導模式之成效，得到以下研究結果：
一、適性診斷測驗前後測之平均施測題數為25.26題，約可節省9.74題，平均省題率為27.8%。預測精準度在95%之上。
二、不論是個別指導組或團班教學組，經過融入數位教材進行教學與補救後，學生的平均分數皆有進步，且有效降低錯誤類型發生率及提升子技能達成率，顯示本研究所研發之數位個別指導教材具有應用價值。
三、個別指導模式在教學與補救上之成效皆優於傳統的團班教學，可提供學校教育與補習教育之參考。
四、個別指導模式實施之成效，在教學和補救成效上以低分組學生表現最佳，平均進步成績皆達十分以上。

關鍵詞：概數與估算、數位個別指導、電腦適性診斷測驗、貝氏網路

關鍵字

概數與估算、數位個別指導、適性測驗、貝氏網路

並列摘要

The objective of this research is to take “approximate number and computational estimation” unit of Grade Five of elementary school as the teaching content to research and develop the digital individual instruction model, and evaluate the effect of teaching. The so-called “digital individual instruction model” means to establish a set of computerized adaptive diagnostic tests that combines knowledge structure and Bayesian Networks at the approximate number and computational estimation unit of Grade Five of elementary school, and edit and compile the digital individual instruction materials, including teaching media, teaching materials, and on-line remedy teaching animation to provide teachers to use in their teaching. Besides, in order to evaluate the effect of implementation of this teaching model, the research divided the testers into individual instruction group and class teaching group to do the teaching experiment, and to explore the effect of the digital individual instruction model via the test achievements after teaching. The research findings are as follows:
1. The average number of questions of pre-test and post-test administrated by the adaptive diagnostic test is 25.26 questions, 9.74 questions can be decreased approximately, and the average question quantity economizing rate is 27.8%. The prediction accuracy is above 95%.
2. After blending the digital teaching materials into teaching, and doing the remedy, the students’ average scores made progress, whether it is individual instruction group or class teaching group, and reduce the incidence of the bug available, promote the percentage of reaching skill targets. showing that the digital individual instruction materials by this research have the value of application.
3. The individual instruction model has better results then traditional class teaching whether on teaching or remedy, and it can be provided as reference for school education and cram school education.
4. Regarding the effect of implementation of individual instruction model, on teaching and remedy results, the students of low mark group have best performance, and the average achieved grades of progress accomplished more than 10 points.

並列關鍵字

approximate number and computational estimation, Digital Individual Instruction Mode, Computerized Adaptive Diagnostic Test, Bayesian Network

參考文獻

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