Philippe R. Richard

Philippe R. Richard is a Full Professor at the Department of Didactics within the Faculty of Education at Université de Montréal. Based in the Marie-Victorin building (Office D516), he specializes in mathematics education with a focus on technological integration. His research examines the intersection of mathematical reasoning and artificial intelligence, particularly in secondary education contexts.

Richard's primary research interests include:

• Mathematics education and artificial intelligence integration
• Mathematical work and workspace theory
• Knowledge and reasoning modeling
• Problem-solving strategies and proof techniques
• Educational technology for mathematics learning
• Distance learning and teacher training methodologies

His work emphasizes how AI transforms mathematical practice while addressing epistemological and cognitive challenges in educational settings.

Analysis of recent publications (2016-2024) reveals consistent themes: the impact of AI on mathematical work, development of intelligent tutoring systems (especially for geometry proofs), and theoretical frameworks for technology-enhanced mathematics education. His research increasingly focuses on hybrid human-AI collaboration models and their didactic implications.

Scientific Awards:

• Finalist for the Minister of Education, Leisure and Sports Prize (2004-2005)
• Ramón y Cajal Fellowship (co-funded by Spanish Ministry of Science and European Social Fund)

Richard leads significant research initiatives, including a 5-year international project (2025-2030) examining AI-supported proof learning in secondary geometry. He directs the development of tutoring systems like QED-Tutrix and collaborates with interdisciplinary teams across Europe and North America. Current work explores instrumental proofs and discursive AI generation in mathematics education.