Ontology-Based Framework for Geometry Problem Set Optimization

An article published on arXiv discusses a framework based on ontology for the annotation and enhancement of geometry problem sets, initially created in the 1990s. This framework organizes geometric problems, solutions, and relevant skills into a network of interconnected facts, objects, and methods. It presents 'solution graphs'—directed acyclic graphs that represent various solution routes and skill interdependencies. This methodology allows for detailed monitoring of student capabilities and aids in curriculum development. The research is inspired by the traditional significance of Euclidean geometry in fostering logical reasoning and abstract thought, alongside recent advancements in artificial intelligence and educational technology that have sparked renewed interest in geometry's role in cognitive skill enhancement.