A Theoretical Framework for a Mathematical Cognitive Model for Adaptive Learning Systems

The emergence of artificial intelligence has made adaptive learning possible, but building an adaptive system requires a comprehensive understanding of students’ cognition. The cognitive model provides a crucial theoretical framework to explore students’ cognitive attributes, making it vital for lea...

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Main Authors: Siyu Sun, Xiaopeng Wu, Tianshu Xu
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Behavioral Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-328X/13/5/406
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author Siyu Sun
Xiaopeng Wu
Tianshu Xu
author_facet Siyu Sun
Xiaopeng Wu
Tianshu Xu
author_sort Siyu Sun
collection DOAJ
description The emergence of artificial intelligence has made adaptive learning possible, but building an adaptive system requires a comprehensive understanding of students’ cognition. The cognitive model provides a crucial theoretical framework to explore students’ cognitive attributes, making it vital for learning assessment and adaptive learning. This study investigates 52 experts, including primary and secondary school teachers, mathematics education experts, and graduate students, based on the 16 cognitive attributes in the TIMSS 2015 assessment framework. Through an analysis of their attribute questionnaires, the Interpretive structural modeling (ISM) method is used to construct a five-level mathematical cognitive model. The model is then revised through oral reports and expert interviews, resulting in a final cognitive model ranging from “memorize” to “justify”. The cognitive model describes the relationship between different attributes in detail, enabling the development of adaptive systems and aiding in the diagnosis of students’ cognitive development and learning paths in mathematics.
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spelling doaj.art-32f658f50e7a4ec2ba21b1c40c0fc6352023-11-18T00:29:50ZengMDPI AGBehavioral Sciences2076-328X2023-05-0113540610.3390/bs13050406A Theoretical Framework for a Mathematical Cognitive Model for Adaptive Learning SystemsSiyu Sun0Xiaopeng Wu1Tianshu Xu2College of Elementary Education, Capital Normal University, Beijing 100048, ChinaFaculty of Education, Northeast Normal University, Changchun 130024, ChinaCollege of Teacher Education, East China Normal University, Shanghai 200062, ChinaThe emergence of artificial intelligence has made adaptive learning possible, but building an adaptive system requires a comprehensive understanding of students’ cognition. The cognitive model provides a crucial theoretical framework to explore students’ cognitive attributes, making it vital for learning assessment and adaptive learning. This study investigates 52 experts, including primary and secondary school teachers, mathematics education experts, and graduate students, based on the 16 cognitive attributes in the TIMSS 2015 assessment framework. Through an analysis of their attribute questionnaires, the Interpretive structural modeling (ISM) method is used to construct a five-level mathematical cognitive model. The model is then revised through oral reports and expert interviews, resulting in a final cognitive model ranging from “memorize” to “justify”. The cognitive model describes the relationship between different attributes in detail, enabling the development of adaptive systems and aiding in the diagnosis of students’ cognitive development and learning paths in mathematics.https://www.mdpi.com/2076-328X/13/5/406cognitive modelmathematical learningadaptive learning systeminterpretive structural modeling
spellingShingle Siyu Sun
Xiaopeng Wu
Tianshu Xu
A Theoretical Framework for a Mathematical Cognitive Model for Adaptive Learning Systems
Behavioral Sciences
cognitive model
mathematical learning
adaptive learning system
interpretive structural modeling
title A Theoretical Framework for a Mathematical Cognitive Model for Adaptive Learning Systems
title_full A Theoretical Framework for a Mathematical Cognitive Model for Adaptive Learning Systems
title_fullStr A Theoretical Framework for a Mathematical Cognitive Model for Adaptive Learning Systems
title_full_unstemmed A Theoretical Framework for a Mathematical Cognitive Model for Adaptive Learning Systems
title_short A Theoretical Framework for a Mathematical Cognitive Model for Adaptive Learning Systems
title_sort theoretical framework for a mathematical cognitive model for adaptive learning systems
topic cognitive model
mathematical learning
adaptive learning system
interpretive structural modeling
url https://www.mdpi.com/2076-328X/13/5/406
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