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Development of a Computerized Adaptive Assessment and Learning System for Mathematical Ability Based on Cognitive

Yi Zhang1, Liping Zhang2, Heyang Zhang3

  • 1School of Education, Guangzhou University, Guangzhou 510006, China.

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|September 26, 2025
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Summary

This study introduces a Computerized Adaptive Learning System Based on Cognitive Diagnosis (CAL-CDS) to personalize education. It details a framework for cognitive diagnostic assessment and system operations to enhance mathematics learning.

Keywords:
adaptive learning systemcognitive diagnosis assessmentonline learning

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Area of Science:

  • Educational Technology
  • Cognitive Science
  • Artificial Intelligence in Education

Background:

  • Digital transformation in education drives the need for personalized and adaptive learning.
  • Existing systems often lack integrated cognitive diagnostic capabilities for tailored instruction.
  • The study addresses the growing demand for effective digital learning solutions.

Purpose of the Study:

  • To develop a cognitive diagnostic assessment framework aligned with China's mathematics curriculum.
  • To investigate the operational mechanisms of a cognitive diagnosis-based computerized adaptive learning system (CAL-CDS).
  • To facilitate personalized student learning through cognitive diagnosis in mathematics.

Main Methods:

  • Construction of a foundational cognitive diagnostic assessment framework.
  • Integration of cognitive modeling, Q-matrix generation, and diagnostic test development.
  • Dissection of the system's operational logic: adaptive testing, diagnostic, and recommendation systems, supported by empirical case studies.

Main Results:

  • A systematic solution for developing mathematics-specific cognitive diagnosis-driven adaptive learning systems.
  • Demonstration of how to construct a cognitive diagnostic assessment framework tailored to specific educational contexts.
  • Validation of the system's potential to facilitate personalized student learning via cognitive diagnosis.

Conclusions:

  • The CAL-CDS offers a comprehensive approach to personalized learning by integrating cognitive diagnosis.
  • The developed framework and operational mechanisms provide a blueprint for similar adaptive learning systems.
  • This research contributes to advancing educational technology through intelligent diagnostic and adaptive learning strategies.