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Artificial Intelligence in Mathematics Education

Cognitive Analysis and Cognitive Simulation

  • Book
  • © 2025

Overview

  • Provides a common cognitive analysis framework with a focus on mathematical problem solving
  • Showcases applications of the cognitive analysis and cognitive simulation in teaching and cognitive diagnosis
  • Theorizes and re-conceptualizes cognitive simulation based on relative research and development in the past 5-10 years

Part of the book series: Smart Computing and Intelligence (SMCOMINT)

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  • 3 Citations

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About this book

This book focuses on the analysis and application of cognitive simulation in problem solving. It constructs a cognitive model of mathematical problem solving, and based on this model, analyses typical mathematical problems, programs using Lisp language, and subsequently simulates the problem-solving process in Adaptive Control of Thought—Rational (ACT-R). This book introduces the method and process of one-on-one cognitive diagnosis, and designs and implements experiments following the method and process. It serves as a stepping stone for both researchers and practitioners who are interested in using cognitive simulation for students learning.

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Table of contents (11 chapters)

Authors and Affiliations

  • College of Education, Ludong University, Yantai, China

    Xuefeng Wei

About the author

Dr. Xuefeng Wei is the Dean of the College of Education and Full Professor of Educational Technology at the Ludong University, China. He received his Ph.D. from Beijing Normal University, China, and completed his postdoctoral researcher fellow in Learning Technology at the College of Information, University of North Texas, the United States of America. His research interests include artificial intelligence in education, cognitive analysis and simulation, and technology enhanced learning. He has published about 50 international conference papers (as first author), books, and articles in refereed journals, including Computers & Education and Educational Technology Research and Development (ETR&D). Professor Wei also serves as an associate editor of the journal Smart Learning Environments, a peer reviewer for  Computers & Education and  Open Education Research , a member of the IEEE (Institute of Electrical and Electronics Engineers) Technical Committee on Learning Technologies, and a member of the 2016 and 2017 Horizon Project China Expert Panels.

Accessibility Information

PDF accessibility summary

This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub.

EPUB accessibility summary

This ebook is designed with accessibility in mind, aiming to meet the ePub Accessibility 1.0 AA and WCAG 2.2 Level AA standards. It features a navigable table of contents, structured headings, and alternative text for images, ensuring smooth, intuitive navigation and comprehension. The text is reflowable and resizable, with sufficient contrast. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com.

Bibliographic Information

  • Book Title: Artificial Intelligence in Mathematics Education

  • Book Subtitle: Cognitive Analysis and Cognitive Simulation

  • Authors: Xuefeng Wei

  • Series Title: Smart Computing and Intelligence

  • DOI: https://doi.org/10.1007/978-981-95-1405-2

  • Publisher: Springer Singapore

  • eBook Packages: Education, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025

  • Hardcover ISBN: 978-981-95-1404-5Published: 03 January 2026

  • Softcover ISBN: 978-981-95-1407-6Due: 17 January 2027

  • eBook ISBN: 978-981-95-1405-2Published: 01 January 2026

  • Series ISSN: 2522-0888

  • Series E-ISSN: 2522-0896

  • Edition Number: 1

  • Number of Pages: XII, 231

  • Number of Illustrations: 35 b/w illustrations, 35 illustrations in colour

  • Topics: Computational Intelligence, Mathematics Education, Education, general

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