Fuzzy logic and Gagné learning hierarchy for assessing mathematics skills
Autor: | Jinn-Tsong Tsai, Wei-Ling Tang, Yao-Mei Chen |
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Rok vydání: | 2021 |
Předmět: |
Hierarchy
Multidisciplinary Process (engineering) business.industry Diagram (category theory) 05 social sciences 050301 education 02 engineering and technology Fuzzy logic Test (assessment) Fuzzy Logic Path (graph theory) 0202 electrical engineering electronic engineering information engineering Humans Fuzzy reasoning 020201 artificial intelligence & image processing Artificial intelligence Inference engine business 0503 education Mathematics |
Zdroj: | Science Progress. 104:003685042110143 |
ISSN: | 2047-7163 0036-8504 |
Popis: | This study developed a fuzzy logic and Gagné learning hierarchy (FL-GLH) for assessing mathematics skills and identifying learning barrier points. Fuzzy logic was used to model the human reasoning process in linguistic terms. Specifically, fuzzy logic was used to build relationships between skill level concepts as inputs and learning achievement as an output. Gagné learning hierarchy was used to develop a learning hierarchy diagram, which included learning paths and test questions for assessing mathematics skills. First, the Gagné learning hierarchy was used to generate learning path diagrams and test questions. In the second step, skill level concepts were grouped, and their membership functions were established to fuzzify the input parameters and to build membership functions of learning achievement as an output. Third, the inference engine generated fuzzy values by applying fuzzy rules based on fuzzy reasoning. Finally, the defuzzifier converted fuzzy values to crisp output values for learning achievement. Practical applications of the FL-GLH confirmed its effectiveness for evaluating student learning achievement, for finding student learning barrier points, and for providing teachers with guidelines for improving learning efficiency in students. |
Databáze: | OpenAIRE |
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