Integrating LLMs into Mathematics Laboratories Alongside CAS

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.

Authors

Institutions

Publication Details

Journal
International Journal of Engineering Pedagogy (iJEP)
Published
2025-04-16
DOI
https://doi.org/10.3991/ijep.v15i3.53151
Citations
1
Primary Topic
Mathematics, Computing, and Information Processing
Type
article
Field-Weighted Citation Impact
1.50
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Integrating LLMs into Mathematics Laboratories Alongside CAS

Nikolaos Matzakos, Maria Moundridou
1 citations
International Journal of Engineering Pedagogy (iJEP)
Mathematics, Computing, and Information Processing
1.50
article

Integrating LLMs into Mathematics Laboratories Alongside CAS

Nikolaos Matzakos, Maria Moundridou
article en
1 citations

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.

International Journal of Engineering Pedagogy (iJEP)Vol. 15(3)
School of Pedagogical and Technological Education (GR)
Openalex Percentile: Top 18%
Mathematics, Computing, and Information Processing
1.50
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Integrating LLMs into Mathematics Laboratories Alongside CAS — Nikolaos Matzakos, Maria Moundridou · International Journal of Engineering Pedagogy (iJEP) (2025) | TGRS Research Map | TGRS