Hector Research Institute of Education Sciences and Psychology

LLMath

Usage of LLMs in the Learning of Mathematics

Our Goal

This multi-disciplinary project brings together expertise from maths didactics, digital learning psychology and learning analytics to investigate university students’ open conversational data with the AI-supported math tutor Lytris and how this could support learning dynamics over time. The goal is to combine interaction patterns and epistemic network analysis, together with formal assessment data to better understand students’ engagement, and ability to leverage the tutor’s features to have strong and autonomous learning progress. Our hypothesis is that this open-ended conversational data can bring additional information about students’ competency levels, and struggles, beyond standard assessment tests. Such information can then be used to steer the tutor’s behavior and give feedback to teachers to better understand and support students.

The Challenge

Artificial Intelligence is rapidly changing how students learn and work within traditional university lecture formats. While AI tools are increasingly available to students, there is still limited understanding of how these systems are used in authentic long-term learning settings and how they affect learning processes and performance over time. It is usually suggested that writing high-quality prompts is enough to maximize the performance and accuracy of these tools, but little is still known about other factors such as specific help-seeking strategies, and how they evolve over time.

In particular, little is known about:

  • How do students seek information with the Lytris tutor and regulate its use to make learning progress on a mathematical skill? Specifically, what domain-specific and domain-general learning strategies do they use and how do they evolve over the course of a semester?
  • and which features of student-AI interactions can predict long-term learning progress.


     

Our Approach

The project follows a longitudinal research design and collects learning-related data across multiple mathematics lectures over the duration of a semester.

Students will use a digital learning platform that provides several forms of AI-supported interaction, including:

  • open-ended chat interactions with a tutor-style AI assistant,
  • short multiple-choice quizzes for self-assessment and knowledge checks,
  • and support while working on mandatory exercise sheets accompanying the lectures.

We will use a combination of theory-driven and data-driven approaches to investigate the conversational data produced by students. We will leverage AI-supported methods such as epistemic network analysis to investigate how students transition between different types of help-seeking strategies (e.g. from executive answer-seeking to more instrumental one), their self-regulation and agency in using the system, as well as their domain-specific activity, following the relevant didactics frameworks. Finally, we will also investigate how different scaffolding strategies exhibited by the AI tutor can impact these interaction patterns, and how the latter can impact learning progress trajectories. 

The collected interaction and learning data will be analysed to better understand how students use AI tools in real learning situations, how their usage patterns evolve over time, and how these patterns relate to engagement and academic success.

 


Background

Mathematics education in higher education is strongly associated with self-regulated and independent learning processes. Students are required to continuously engage with complex abstract concepts, solve exercises outside the classroom, and independently monitor their understanding throughout the semester. At the same time, large lecture formats often provide only limited opportunities for individual feedback and adaptive support.

Recent advances in generative Artificial Intelligence have introduced new possibilities for personalised learning assistance in university teaching. AI-based systems can provide immediate feedback, interactive explanations, and adaptive guidance during the learning process. Despite the increasing availability of such technologies, there is still limited empirical knowledge about how students actually use AI tools over longer periods of time, particularly in mathematically demanding learning environments.

This project addresses this research gap by investigating authentic student interactions with AI-supported learning systems in real university mathematics lectures. The aim is to better understand long-term usage patterns, learning strategies, and the potential impact of AI-assisted learning on student outcomes and engagement.

Timeline

April 2026
Project launch
Year 1
Data collection

with cooperation partners and data analysis pipeline validation (KIT and lytris)

Year 2
Development

for the enriched feedback system and validation


Project participants

Team members: 

External-Project partners: 

  • Daniel Weiß (KIT)
  • Linity GmbH (Johannes Zimmer)

This project is funded by third-party funds from the German Research Foundation.