Worcester Polytechnic Institute

Ethan Croteau

Ph.D. Student in Computer Science

I study image-dependent mathematics: educational math problems where diagrams, graphs, tables, or other visual representations carry information needed to solve the task.

My research is advised by Neil Heffernan and focuses on how AI systems and tutoring infrastructure can represent, evaluate, and respond to visual mathematical information.

Headshot of Ethan Croteau.

Research

Image-Dependent Mathematics

My work examines what happens when mathematical reasoning depends on visual evidence. In these problems, a correct solution may require reading a graph scale, identifying relevant geometric relations, counting visual structure, or connecting labels in a figure to symbolic reasoning.

Multimodal Evaluation

Evaluating how AI systems use or fail to use task-critical visual information in curriculum-authentic mathematics.

Alternative Representations

Studying textual, structured, and executable representations of diagrams for AI-supported learning and accessibility.

Tutoring Infrastructure

Exploring problem representations that connect visual facts, mathematical relations, likely errors, and feedback.

Publications

Papers and Outputs

A curated publication list will be added here as my current manuscripts, preprints, and project pages are finalized for public viewing.

View my Google Scholar profile

CV

Curriculum Vitae

I am revising my academic CV. A current version will be linked here when it is ready.

Contact

Academic Profiles