Integrating LLMs into Mathematics Laboratories Alongside CAS

Abstract

This paper proposes a structured approach for integrating large language models (LLMs) and computer algebra systems (CAS) in mathematics laboratories to enhance learning in higher education. By combining LLMs with CAS, this method provides a balanced environment where students engage actively in solving complex mathematical problems. LLMs assist in conceptual understanding through natural language interaction, while CAS ensures precise computational accuracy. Aligned with inquiry-based learning (IBL) principles, the approach guides students through stages that encourage exploration, collaboration, and reflection. This integration maximizes both pedagogical and functional opportunities, providing a balanced approach that enhances problem-solving skills and prepares students for the evolving use of LLMs in mathematics education.