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This paper presents SmartMathAI, an educational tool designed to support students in learning mathematics. The educational tool is based on Problem-Based Learning (PBL) with a personalized virtual tutor developed with a large language model (LLM). The virtual tutor guides the student through the problem-solving process, answers questions, and evaluates their reasoning. The use of the tool aids in mathematics learning by offering a personalized alternative that adapts to the student’s needs. SmartMathAI was evaluated with middle school students, obtaining favorable results both for learning and for student motivation when using the technology, allowing students to learn more autonomously and at their own pace.

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An Intelligent Learning Environment for Mathematics: SmartMathAI with Generative AI and Problem-Based Learning

  • 会议论文

  • 发表日期：

    2026年

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  • Julio César Mendívil-Casanova,
  • María-Lucia Barrón-Estrada,
  • Ramon Zatarain-Cabada,
  • Aldo Uriarte-Portillo

摘要

This paper presents SmartMathAI, an educational tool designed to support students in learning mathematics. The educational tool is based on Problem-Based Learning (PBL) with a personalized virtual tutor developed with a large language model (LLM). The virtual tutor guides the student through the problem-solving process, answers questions, and evaluates their reasoning. The use of the tool aids in mathematics learning by offering a personalized alternative that adapts to the student’s needs. SmartMathAI was evaluated with middle school students, obtaining favorable results both for learning and for student motivation when using the technology, allowing students to learn more autonomously and at their own pace.