應用Petri-Net建構知識構圖強化適性學習診斷與學習推薦之研究

電機電子領域專業知識概念間存在錯綜複雜的關係，具有相同學習成效的學生可能存在不同的迷思概念與結構，然多數既有學習導引機制缺乏推薦學習者適性學習內容與途徑的規劃，因此，技職專業人才的培育面臨極大的障礙與困境。由於科技的進步，知識構圖被廣為應用於推薦系統，找出符合使用者需求的新訊息。本研究由五位高職電機電子群專業科目知識概念專家、八位試題發展專家及五位電機電子群業界專家與資深教師，運用三回合修正式德菲法剖析電機電子領域核心基礎：「基本電學」12個主題的58個專業概念與95個對應相關性，再利用具有圖形特性的派翠西網路（Petri-Net）技術，建構出其Petri-Net知識構圖，並發現對後續學習影響最巨的概念依序為電路型態與特性、電的單位、向量運算及電壓。此外，本研究以初探性導入建立三種不同學習類型個案學生的Petri-Net知識構圖，並剖析他們個別的學習歷程與狀態，結果顯示Petri-Net知識構圖的應用得以：一、提供視覺化學習鷹架增強初學者的認知結構；二、適性診斷不同類型學習者的迷思概念；三、推估後續概念的學習效果；四、推薦個人化學習內容與路徑助益自主學習與補救教學。據此，本研究提出相關的討論與建議，作為發展測評系統及擬定教學策略參考。

關鍵字

知識構圖；派翠西網路；基本電學；學習推薦；學習診斷

並列摘要

Because of the increasing heterogeneity among students in classes and schools, determining a student's basic learning status and ability in each subject and tailoring instruction or adapting remedial teaching to a student's needs and characteristics have become challenging, especially for those students with learning disadvantages. According to Skinner's behavioral learning theory (as cited in Gregory, 1987), differences in a student's learning experiences (such as in understanding concepts) lead to considerable disparities in future learning. Drastic differences in internal cognition and concept structure may exist even among students with the same traditional learning achievements (i.e., scores) (Yu & Yu, 2006). Furthermore, the differences in concept cognition structure between experts and novices may be discoverable by analyzing similarities in students' conceptual understandings, relationships, or psychological metrics (Brand-Gruwel et al., 2005; Hsu et al., 2012). Cognitive diagnostic models, such as the knowledge map, are useful for assessing a student's conceptual knowledge structures and misconceptions to improve differentiated teaching, learning diagnosis, and remedial teaching (Chu et al., 2014; Hwang, Shi et al., 2011; Hwang, Wu et al., 2011; Ku et al., 2014; Lou et al., 2007; Lwo et al., 2013; Ting & Kuo, 2016). However, most such models have been constructed using only vertical hierarchical structures, wherein spotting multilateral correlations or influences between subjects or concepts proves difficult. Unlike an expert, a student cannot intuitively identify the multilateral correlations between the concepts involved a learning pathway, and analyzing novice learning is challenging and requires considerable time and effort. An adaptive mechanism for diagnosing and analyzing students' dynamic learning behaviors and learning pathways could improve autonomous learning and remedial teaching. However, most existing mechanisms cannot offer adaptive or personalized learning content or pathways to the learner (Singhal, 2012; Ting & Kuo, 2016; Wang et al., 2019). With the advantages provided by information technologies such as big data analytics and artificial intelligence, large-scale heterogeneous data analysis, cloud computing, and Knowledge Graphs (KGs) with directionally linked data structures have been widely applied in recommendation systems to facilitate the representation of knowledge structures and to mine for new knowledge that helps to meets users' needs (Deng et al., 2019; Fensel et al., 2020; Guan et al., 2019; Jia et al., 2018; Nickel et al., 2016; Noy et al., 2019; Yu et al., 2020). Similar to tree-structured knowledge maps, KGs are based on directional or nondirectional ontological graphs composed of concept nodes and relationship edges and employ the consensus opinions of Subject Matter Experts (SMEs) to generate consolidated KGs or generate KGs automatically from large mined data sets or text. The associated reasoning mechanism is used to make inferences based on the existing concepts and relationships among them. Among all the graph-building options, Petri-Net possess the most robust capabilities for graphical workflow presentation and pathway analysis (Peterson, 1981; Tan & Zhou, 2013). They have long been widely applied in adaptive learning and learning pathway recommendation. According to information published by the Taiwan Bureau of Foreign Trade and Taiwan Electrical and Electronic Manufacturers' Association in 2020, the electrical and electronics industry accounted for 50.59% of Taiwan's total export value in 2019. The foundational electricity course is an important core course for future electrical and Electronic Engineering (EE) study and can be the first obstacle for novices because of the intricate relationships among its knowledge concepts. Also, significant differences may exist in individual understandings of concept structures (Dai, 2015). To address the aforementioned challenges in learning diagnostics and remedial teaching, this study was based on learning theories such as the conditions of learning, constructivism, and scaffolding theory and utilized Petri-Net to achieve the following goals: 1. Use a Petri-Net to construct a KG visualizing a foundational electricity course. 2. Conduct a pilot study to identify personal learning pathways, interrelationships among foundational electricity concepts, and misconceptions regarding novices' learning types. 3. Use students' learning history to predict their learning effectiveness when studying future concepts and maximize their learning outcomes. 4. Recommend an adaptive, calibrated, personalized learning pathway for further remedial teaching and learning. In this study, we employed a three-round modified Delphi technique with 18 SMEs to identify 12 subjects, 58 concepts, and 95 corresponding interrelationships within a core foundational electricity course in EE. We utilized a Petri-Net with graphic features to construct a KG we called a Petri-Net KG. After the third round of the modified Delphi technique, all eight SMEs' Content Validity Indexes (CVI) were 1.00. Cronbach'sαwas .75. The SMEs' opinions regarding the interrelationships of concepts exhibited good internal consistency and reliability, according to 95% confidence intervals. The correlations between concept weights were .83-.96 (p ＜ .01). Intraclass Correlation Coefficients (ICCs) were used to confirm the consistency of SMEs' opinions on the weights of the interrelationships between concepts. ICC (1) was .072, and ICC (2) was .75. All the SMEs' opinions exhibited significant and strong correlations and good consistency. Using 947 students' assessment records, learning portfolios, and learning status data (e.g. conditions of learning performance, scores), the reasoning engine was used to employ the KGs for learning transfer analysis. Preliminary exploration case studies were conducted to create Petri-Net KGs personalized for students with three different learning types (insufficiently hardworking, inadequate learning, and abnormal learning) and to determine their learning progress and status. Sato's student-problem chart was used to classify students' learning types. The major results and findings of this study are as follows: 1. The most important concept was circuit patterns and characteristics, affecting the learning of the subsequent 12 concepts, and the total impact was 6. Units, vector operations, and voltage-in that order-were the next most important concepts. 2. The proposed Petri-Net KG provided students with visualized learning scaffoldings that indicate the experts' consensus cognitive structure. It also clarified any prior concepts requisite for understanding each concept. 3. By utilizing the weights of the interrelationships between concepts and their prior concepts, the reasoning engine could adaptively diagnose misconceptions and further predict students' effectiveness in learning subsequent concepts. 4. Each learning type was associated with a unique cognitive structure. Integrating students' learning portfolio data into the proposed Petri-Net KG enabled the reasoning engine to recommend an adaptive and personalized learning pathway. The aforementioned results have the following implications for future applications and research: 1. The visualized Petri-Net KG for the foundational electricity course could clearly depict learning types, experts' consensus knowledge structure, and students' personal cognitive structures. Additionally, most influential concepts were observable at a glance. Such KGs could be useful for guiding concept recognition and effectively diagnosing misconceptions. 2. The personalized learning pathways and content recommended by the Petri-Net KG and reasoning engine can be used in a self-tutoring platform. The weighted concept intercorrelations and student learning data can be analyzed to determine students' cognitive conditions according to an expert KG. Thus, a model or student learning effectiveness can be established to strengthen the effectiveness of autonomous learning or remedial teaching. The framework of this course-level Petri-Net KG can be extended and applied to other curricula, disciplines, or educational levels to develop appropriate recommendation systems for competency development.

並列關鍵字

knowledge graph ； Petri-Net ； foundational electricity ； learning recommendation ； learning diagnostic

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應用Petri-Net建構知識構圖強化適性學習診斷與學習推薦之研究

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