Fuzzy Approach Method for Concept Structure Analysis Based on FLMP and Ism With Application in Cognition Diagnosis of Linear Algebra

Yih, Jeng-Ming; Lin, Yuan-Horng; Hung, Wen-Liang

doi:10.1142/9789812709677_0193

Cited by 5 publications

(5 citation statements)

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“…The experimental results of real data set show that FCM-CM algorithm has the best performance. The mean clustering accuracies of 100 different initial value [13][14][15] sets of FCM and FCM-CM for the datasets were shown in Appendix 1. From this appendix, we can find that the performance of our proposed FCM-CM algorithm is simultaneously better than which of FCM algorithm in the datasets.…”

Section: Discussionmentioning

confidence: 99%

Clustering Accuracies on Concepts of Nursing

Tseng¹

2013

PHF

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Abstract-The purpose of this study is to integrate fuzzy clustering algorithm based on common Mahalanobis distance. Fuzzy clustering could distinguish characteristics of concept structures on nursing. Finally, some limitations and suggestions of this study are discussed. It shows that knowledge structures will be feasible for remedial instruction and help students get more chance to get professional certification on nurses. Based on the findings and results, combined with fuzzy clustering algorithm based on normalized Mahalanobis distance could be very feasible for cognition diagnosis in the future.

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Section: Discussionmentioning

confidence: 99%

Clustering Accuracies on Concepts of Nursing

Tseng¹

2013

PHF

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“…The non-Euclidean distance algorithms, GK algorithm and GG algorithm, were developed to detect non-spherical structural clusters. However, both of them need to add some constraints or assumption, can not use Mahalanobis distance directly [10]. Using FCM-CM algorithm, identify the mastery concepts in linear algebra, for comparing the performances with other three partition algorithms; GG, GK, and FCM.…”

Section: Empirical Analysismentioning

confidence: 99%

Graphic Representation and Cognition Diagnosis on Concepts of Linear Algebra

Lin

Chen

Yih

2011

AMM

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The purpose of this study is to integrate pathfinder and item response theory so as to manage concept structures. Concept structure is one important issue of knowledge management as to human knowledge storage. Pathfinder and item response theory are based on graph theory and psychometrics respectively and this integrated method should be feasible to represent concept structures. Besides, fuzzy clustering technique is adopted to provide features of concept structures based on homogeneity of sample. In this study, the empirical data is the assessment of linear algebra for university students. The important concepts of linear algebra consist of subspace, spanning, linear independent, R2 and R3 and many literatures indicate concept structures of linear algebra will influence advanced mathematics. However, little is known about the concept structure and cognition diagnosis on linear algebra. In this study, it shows that lack of concrete examples in general dimensional space will prevent the development of the general theory. There are some limitations for students to use some materials to clarify complicated mathematic concepts perfectly. Most students could not be able to use the geometric insight and apply the Pythagorean of R2 or R3. It shows that methodology of the pathfinder and item response theory will reveal important information of concept structures for students. In addition, fuzzy clustering could distinguish characteristics of concept structures on linear algebra. Finally, some limitations and suggestions as to this study are discussed.

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“…Basic mathematics is one of the important lessons of learning mathematic, basic mathematics is an important tool links to the most basic and useful in other applications courses. In general, students fear of math, even hate or rejection [8,9]. Some studies have indicated that male students tended to score higher than female students in math.…”

Section: Introductionmentioning

confidence: 99%

Cognitive Component Analysis of Basic Mathematics Achievement Assessment

Yang¹

2013

Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information

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To provide some useful information into teaching practice adjustment, teachers usually need some professional supports. In this study, an analysis framework on item cognitive component is proposed and implemented. The sample for this study consisted of the Nursing and Management College student from eight schools in Taiwan. A sample of 2051 students was drawn for this study. A 3 cognitive components coding schema was developed to predict the item difficulty parameters. The results suggest that the framework proposed can predict around 70.9% of the difficulty variance across seven contents.

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Fuzzy Approach Method for Concept Structure Analysis Based on FLMP and Ism With Application in Cognition Diagnosis of Linear Algebra

Cited by 5 publications

References 0 publications

Clustering Accuracies on Concepts of Nursing

Clustering Accuracies on Concepts of Nursing

Graphic Representation and Cognition Diagnosis on Concepts of Linear Algebra

Cognitive Component Analysis of Basic Mathematics Achievement Assessment

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