本研究以貝氏網路作為表示教學領域中各個學習觀念的關係的語言。教學領域中的學習觀念包含了基本觀念與綜合觀念，綜合觀念是由兩個以上的基本觀念所衍生出來的觀念，而綜合觀念的學習歷程即為學生在學習的過程中如何整合這些基本觀念的過程。了解綜合觀念的學習歷程可以幫助教師及出題者了解學生的學習路徑，並修改其教學或出題的方針，以期能提供適性化的教學及測驗。為了從考生答題資料中尋找出這個隱藏的綜合觀念學習歷程，我們提出一套以mutual information以及一套以chi-square test所發展出來的研究方法，希望能夠藉由一個模擬環境中模擬考生的答題資料來猜測考生學習綜合觀念的學習歷程。 初步的實驗結果顯示出，在一些特殊的條件假設下，我們的方法有不錯的機會找到暗藏在模擬系統中的學習歷程。因此我們進而嘗試提出一個策略來尋找較大規模結構中的學習歷程，利用搜尋的概念嘗試是否能較有效率的尋找出學生對於綜合觀念學習歷程。雖然在實驗中並沒有十分理想的結果，但是在實驗的過程中，我們除了發現學生答題資料的模糊程度為系統的正確率的主要挑戰之外，另外也發現了學生類別與觀念能力之間的關係也是影響實驗結果的主要因素。透過我們的方法，雖然不能完美的找出學生對於任何綜合觀念的綜合歷程，但是我們的實驗過程與結果也對隱藏的真實歷程結構提供了不少線索。 最後，我們探討如何藉由觀察學生接受測驗的結果來分類不同學習程度與狀況的學生之相關問題與技術。我們利用最近鄰居分類法與k-means分群法以及基於這些方法所變化出的方法，探討是否能透過學生的答題資料有效的分辨學生能力的類別。實驗結果顯示出，在每個觀念擁有多道測驗試題的情況下，利用最近鄰居分類法與k-means分群法以及基於這些方法所變化出的方法，藉由考生答題資料來進行學生能力類別的分類可以得到不錯的正確率。我們希望這些探討和結果能對適性化教學作出一些貢獻。 / In this thesis, I employ Bayesian networks to represent relations between concepts in pedagogical domains. We consider basic concepts, and composite concepts that are integrated from the basic ones. The learning processes of composite concepts are the ways how students integrate the basic concepts to form the composite concepts. Information about the learning processes can help teachers know the learning paths of students and revise their teaching methods so that teachers can provide adaptive course contents and assessments. In order to find out the latent learning processes based on students’ item response patterns, I propose two methods: a mutual information-based approach and a chi-square test-stimulated heuristics, and examine the ideas in a simulated environment. Results of some preliminary experiments showed that the proposed methods offered satisfactory performance under some particular conditions. Hence, I went a step further to propose a search method that tried to find out the learning process of larger structures in a more efficient way. Although the experimental results for the search method were not very satisfactory, we would find that both the uncertainty included by the students’ item response patterns and the relations between student groups and concepts substantially influenced the performance achieved by the proposed methods. Although the proposed methods did not find out the learning processes perfectly, the experimental processes and results indeed had the potential to provide information about the latent learning processes. Finally, I attempted to classify students’ competence according to their item response patterns. I used the nearest neighbor algorithm, the k-means algorithm, and some variations of these two algorithms to classify students’ competence patterns. Experimental results showed that the more the test items used in the assessment, the higher the accuracy of classification we could obtain. I hope that these experimental results can make contributions towards adaptive learning.

本研究的目的在建構具備智慧型媒體特性之網路教學系統以增進網路學習的效果，特別是如何輔助學習者理解空間關係，以增進對空間幾何座標轉換的學習成效。電腦運算能力的增進使其成為極具潛力的教育媒體。基於教學及教育媒體的理論，本研究倡議在典型的網路教學中加入「智慧型媒體」的考量與設計以增進學習成效。智慧型媒體包括了兩個面向的考量，我們稱之為「媒體與方法」的考量 (Media and Method concern)。從媒體的角度來考量，電腦多媒體的使用應以能增進學習效果為原則，從「認知媒體」(Cognitive Media)的角度出發來設計網路教學的媒體呈現方式，媒體的目的在於清楚地傳達領域之知識給學習者。而從方法的角度來考量，應考慮如何運用電腦運算的特性以實現其他教育媒體裝置不能實現的教學策略及方法，例如互動式及適性化的教學。接續過去「智慧型教學系統」(Intelligent Tutoring System)及「適性化超媒體」(Adaptive Hypermedia) 的研究，本研究提出一套適性化的機制，將一般適性化系統中課程排序(adaptive course sequencing)的機制明確分離為「學習概念排序」及「教材選擇」兩個部分，達到更佳的抽象化及運用教學策略上的彈性。 本研究以「空間座標轉換」做為領域知識，基於「媒體與方法」的考量，設計了稱為CooTutor (Coordinate Tutor)的網路教學系統來輔助空間座標轉換的學習。運用了電腦動畫技術，這個系統使用互動式三維媒體(Interactive 3D Media)清楚有效地傳達領域知識。由於空間座標轉換的學習相信與學習者的空間能力(Spatial Ability)相關，本研究透過實驗來探討互動式三維媒體的使用與空間能力增進之間的關係。另外，我們也研究並評估如何將空間能力及學習風格(learning styles)等學習者個人特質作為適性化依據，以及如何設計相對應的適性化機制。 本研究的主要貢獻包括了 (1) 提出了使用智慧型媒體的概念，以「媒體與方法」的考量來討論網路教學的學習成效，及 (2) 提出一個創新及可行的架構將互動式三維媒體及適性化技術結合、運用於網路學習的學習模式上以輔助空間座標轉換的學習。 / The objective of this research is on developing a Web-based educational system with intelligent media to enhance learners’ learning effects, especially to facili-tate learners’ spatial reasoning on learning spatial geometry topics. The increas-ing computing power allows us to use computers as powerful educational media. Based on theories of pedagogy and educational media, we propose to integrate intelligent media into typical Web-based learning paradigm to improve learning. “Intelligent media” in this research refers to two aspects of considerations. They are media—cognitive media aspect and method—intelligent tutoring aspects. The consideration of cognitive media aims at offering learners the most ease-of-understand presentation of a particular domain. The consideration of in-telligent tutoring targets to offer learners personalized learning experience based on individuals’ learning needs. To achieve better abstraction and flexibility in the adaptive mechanism, we have chosen to separate the concept sequencing from the underlying task of selecting appropriate learning materials. By considering the characteristics of spatial geometry concepts, a Web-based learning environment called CooTutor (Coordinate Tutor) for learning spatial geometric transformation (SGT) is developed. Interactive 3D media is integrated into the system for delivering domain concepts effectively. Since the domain, spatial geometric transformation is evidently related to spatial ability (a group of human abilities about the use of space). This research attempts to address the relation between spatial ability and interactive 3D media via experimental evaluations. Moreover, learners’ latent traits, including spatial ability and learn-ing styles are considered to be used in adaptive material selection. The main contribution of this research would be (1) the conceptualization of in-telligent media and the M&M concern for effective Web-based learning, and (2) an innovative approach and tenable architecture of employing 3D computer graphics and adaptive technologies in Web-based learning context for SGT learning.