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…

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…

In this article, we advocate for and propose a novel concept map driven knowledge tracing (CMKT) model, which utilizes educational concept map for learner modeling. This article particularly addresses the issue of learner data sparseness caused by the unwillingness to practice and irregular learning behaviors on the learner side. CMKT considers…

Expert mathematicians use examples and visual representations as part of their informal mathematics reasoning when constructing proofs. In contrast, the ways undergraduates reason and work toward creating proofs is an open area of investigation, particularly in advanced mathematics. Furthermore, research on students' reasoning in topology is…

Visual representations, such as diagrams, are known to be valuable tools in problem solving and proof construction. However, previous studies have shown that simply having access to a diagram is not sufficient to improve students' performance on mathematical tasks. Rather, students must actively extract information about the problem scenario from…

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…

As critical posthumanist and (new) materialist scholarship become more established in educational research, a reconsideration of methodological approaches suited to a radical relational onto-epistemology is required. A popular figuration adopted by researchers to help think and do such research is the Deleuze-Guattarian "rhizome." Coming…

Emerging scholarship has brought critical attention to the increasing influence of digital platform architectures on learning across disciplines and contexts. Allied with such scholarship, this study examines how the logics of social media platforms create the conditions for new formations of literacy to emerge at the intersection of digital…

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 presents the ways that reflective questions were used to develop pre-service mathematics teachers' understanding of metric and topological spaces. In particular, the purpose of developing PSTs' understanding of metric and topological spaces is that understanding these mathematical concepts leads to PSTs' understandings on how to teach…

This article presents a research apparatus for investigating and making sense of stories that emerge from feedback that mathematicians provide on students' proofs. Using the commognitive framework, the notion of "didactical discourse on proof" is developed as a lens for conceptualizing mathematicians' practice of feedback provision. The…

Many students struggle with proof writing. However, struggle is not universally bad: researchers have distinguished between productive and unproductive forms of struggle and have identified productive struggle as essential for learning mathematics. Yet, in practice, recognizing when learners are engaged in productive struggle or unproductive…

Example use in undergraduate mathematics has been extensively studied. However, little is known about undergraduates' example use in the context of introductory point-set topology. We present a case study of one undergraduate and describe her example use when constructing proofs in the context of introductory topology. We describe her use of a…

Captured under the umbrella term Open Education, a wide range of educational initiatives has been popping up in the educational landscape. This study aims to offer empirical ground for understanding how Open Education introduces new forms of education. It does so by focusing on one initiative, namely the Interactive Open Online Courses included in…