Societal structures and memory organization models share network-like features, offering insights into how information spreads and shapes collective memories. In this study, we manipulated the structure of lab-created community networks during a computer-mediated recall task using the Deese-Roediger-McDermott paradigm to test the spreading…

This dissertation explores bridge n-sections of knotted surfaces in 4-manifolds by defining invariants that measure the complexity of their topology and by giving geometric constructions that determine Lagrangian surfaces in 4-manifolds under certain conditions. First, we present an elegant geometric construction that generates all triple grid…

Belonging is a complex relational concept. It has been shown to be processual, emergent, and dynamic. And yet this relationality, and complexity, sits in tension with increasingly voluble calls to measure, manage and maintain students' sense of belonging to an ostensibly fixed space of higher education. This article reports on research that…

The paper focuses on the sociological adaptation and development of the mental mapping method within the study of national identity. 'Mental map' is defined as a spatial image or model formed over time in the individual or collective consciousness, while the method of mental mapping is interpreted as a graphic representation of a certain area by…

Coming from a social perspective, we introduce a classroom organizational frame, where students' proofs progress from collaborative construction in small groups, through whole-class presentation at the board by one of the constructors, to a posteriori reflection. This design is informed by a view on proofs as successive social processes in the…

Graph Signal Processing (GSP) plays a crucial role in addressing the growing need for information processing across networks, especially in tasks like supervised classification. However, the success of GSP in such tasks hinges on accurately identifying the underlying relational structures, which are often not readily available and must be inferred…

Technology-mediated interactions and datafication are increasingly central in contemporary social dynamics and institutions, including teaching and learning processes. In order to fully understand the complex entanglements of human and non-human actants that emerge in postdigital education, it is essential to imagine new methodological approaches…

This paper aims at defining and exploring design principles in a distance technological setting for an educational activity for mathematics undergraduate students, devoted to the construction of basic concepts in general topology, the promotion of problem-solving processes, the development of metacognitive aspects, and, in general, the development…