This paper aims to shed light on an overlooked but essential aspect of informal reasoning and its radical implication to mathematics education research: Decentralising mathematics. We start to problematise that previous studies on informal reasoning implicitly overfocus on what students infer. Based on Walton's distinction between reasoning and…

Refutation texts are resurfacing as a suggested antidote to misconceptions and "fake news." In a previous critical review of the refutation text literature, we, the author team, suggested further interrogation of the assumptions these texts imply: that learners share the same common misunderstanding about a topic, and that there is one…

In this article we propose a taxonomy describing various types of literature review or theoretical/conceptual articles. We distinguish each article type based on how well they address the "summary" and "advocacy" arguments inherent in all secondary scholarship. Understanding this taxonomy of review/theory scholarship is…

A laboratory project to introduce upper-level undergraduates to Pd-catalyzed C-N [sigma]-bond forming reactions is described. The exercise involves evaluation of monodentate phosphine ligands and solvents for the Buchwald-Hartwig coupling of 4-chloro-or 4-bromo-anisole with morpholine. Students gain experience in the synthesis of a biarylphosphine…

Vygotsky stated that concepts cannot be transmitted from mind to mind but instead developed through communication. Specifically, the instructional use of language would be the means for concept development. However, there is evidence to show that school concepts are particularly difficult to develop. Argumentation has been shown to promote the…

In this review essay I respond to issues raised in Mijung Kim and Wolff-Michael Roth's paper titled "Dialogical argumentation in elementary science classrooms", which presents a study dealing with dialogical argumentation in early elementary school classrooms. Since there is very limited research on lower primary school students'…

My starting point for this paper is a problem in critical thinking pedagogy--the difficult of bringing students to a point where they are able, and motivated, critically to evaluate their own deeply held beliefs. I first interrogate the very idea of a deeply held belief, drawing upon Wittgenstein's idea of a framework belief--a belief that forms…

Launching a problem is critical in a problem-based lesson. We investigated teachers' perspectives on the use of a problem that was analogous to the one provided during a launch. Our goal was to identify teachers' underlying assumptions regarding what should constitute a launch as elements of the "practical rationality of mathematics…

I explore a series of incidents in my English classroom, which occurred while I was preparing my students for their high-stakes GCSE English Language exam ('Paper 2: Writers' viewpoints and perspectives'). I thereby attempt to confront some of my own failings and biases with regard to non-fiction and the teaching of persuasive writing in…

A vibrant theory of change capable of fueling critical practice may be an indispensable feature of teaching argument in secondary education. According to the PIE model (Perception, Interpretation, Expression), layers of experience build a cognitive scaffold to support the development of critical skills. In addition, incorporating works of art and…

In the last two decades science studies and science education research have shifted from an interest in products (of science or of learning), to an interest in processes and practices. The focus of this paper is on students' engagement in epistemic practices (Kelly in "Teaching scientific inquiry: Recommendations for research and…

An unwillingness to consider empirical evidence that contradicts one's desired conclusion, or science denial, is an enormous barrier to producing an informed citizenry. This essay explores literature on conceptual change and motivation to put forth fresh ideas on how curricula can foster science acceptance, or the willingness to engage in critical…

There is limited research available in the area of science education for deaf children. In the twenty-first century, the importance of science and specifically scientific argumentation cannot be overlooked as a vital aspect of the curriculum. Current science teaching presents a range of difficulties for deaf students particularly when abstract…

It is urgent that we re-examine models of knowledge and knowledge-making within the university, at this time of open learning and deregulated multi-million dollar and euro open science hubs and portals. For otherwise, we are bound into "crude" instrumentalism, "delivering" "knowledge packets" rather than seeing our…

In this work we explored proof schemes used by 41 middle school students when confronted with four mathematical propositions that demanded verification of accuracy of statements. The students' perception of mathematically complete vs. convincing arguments in different mathematics branches was also elicited. Lastly, we considered whether the…