The aim of this article is to carry out a work of networking theories which combines two perspectives on the mathematical activity involved in a modelling process, in order to answer the following question: To what extent does the application of the onto-semiotic tools complement the analysis from a cognitive perspective of a mathematical…

How we talk about bilingualism has an effect on how others think about bilingual individuals, and in turn, how "active bilingual learners/users of English" (ABLE) students are assessed and taught in schools. I use a transdisciplinary approach of bridging social semiotics, applied linguistics, psycholinguistics, and cognitive linguistics…

This paper explores the semiotics of Charles Peirce in relation to Colin Koopman's advocacy for a new wave of pragmatism, which he terms transitionalism. Presenting both similarities and differences between these two, the main point is that Peirce's semiotics fits the general idea of a transitionalist, as contrasted to substantialist, philosophy,…

This article explores the cognitive aspects of utopia in environmental and sustainability education. Utopia here is understood as the imaginary transformation of society, entailing a critique of society and its imaginary reconstruction aligned with the ideal of just and flourishing communities. To gain insight into the processes at play, I develop…

Some pre-service mathematics teachers in South Africa are nervous about the content of Euclidean geometry because they did not study Euclidean geometry in high school but will be expected to teach same when they start their teaching career. Because of this, graduating pre-service mathematics teachers were enrolled for a six-week intervention…

In this research, we investigated whether the use of GeoGebra Augmented Reality (AR) can foster students in conceptualising a mathematical object by manipulating its different semiotic representations. We designed and implemented, with thirty university mathematics students, a teaching sequence on paraboloids using GeoGebra AR supported by…

Many researchers have reported that bridging analogies can productively support students' scientific meaning-making. How this can be understood semiotically is, however, not well understood. This research followed an ethnographic case study approach to investigate Year 11 students meaning-making through a process of transduction (Kress, 2000;…

This paper reports the multimodal resources that attached to students' reasoning in the reinvention of specific geometric linear transformations (like reflections according to the axes, projections onto axes and composition of reflections) in a dynamic geometry environment. Following the design heuristics of Realistic Mathematics Education, we…

We address the aims of this Special Issue by exploring, critiquing, and responding constructively to the emergence and potential significance of new materialist thought in environmental education research and the broader theoretical landscape in which such research is situated. We offer some productive possibilities for advancing postparadigmatic…

This article presents a networking of two theories, the Extended Theory of Mathematical Connections (ETC) and the Onto-semiotic Approach (OSA). In particular, concordances and complementarities are identified in the respective conceptions of mathematical connections, as a result of applying these theoretical frameworks to a student's response…

Cognitive difficulty arises from two types of cognitive processes: treatments; within the same, conversions; between different types of representational registers. Conversions are difficult since they ask for understanding of two representations. Direction and the choice of first register could be a threshold for the student. Wasan geometry is…

Embodied learning environments have a substantial share in teaching interventions and research for enhancing learning in science, technology, engineering, and mathematics (STEM) education. In these learning environments, students' bodily experiences are an essential part of the learning activities and hence, of the learning. In this systematic…

Mathematical tools allow us to clearly explain the phenomenon studied in administrative science. Various studies have shown that linear function is a concept, widely used in administration, as well as in other kinds of science, but difficult for students to grasp and assimilate as a tool in their studies. That is the reason that the objective of…

In this paper, we analyse the results of an experience designed and implemented to evaluate the epistemic and cognitive conflicts identified in the study of proportionality, carried out by a group of 21 students in their last year of primary education. Initially the students exhibit difficulties to recognize situations where proportionality can be…

Based on recent political happenings, such as Brexit (UK) and the election of Donald Trump (USA), it has become clear that political marketing has been using 'Big Data' intensively. Information gathered from social media networks is organized into digital environments and has the power to determine the outcome of elections, plebiscites and popular…