Exploring Institutional and Partial Meanings in Mathematics: A Model of Structure and Dynamics

This paper explores the dual nature of "institutional" and "partial" meanings associated with mathematical entities in an educational setting. The institutional meaning represents the formal understanding endorsed by the mathematical community, while the partial meaning pertains to the limited and evolving comprehension that students possess. Through a theoretical perspective, this research examines how students’ progress from partial knowledge toward institutional knowledge, emphasizing the importance of the teacher’s role and the educational context in facilitating this transition. The conclusion suggests that the shift to institutional knowledge relies heavily on effective pedagogical mediation and social interaction, which are essential for students to fully grasp mathematical objects.