The concept of learning has obtained great popularity in many fields. In common cause with neo-liberal ideology, learning has led to a learnification process that turns social pathologies into individual deficits. Various ways out of this situation have been sought; chief among them is the recruitment of unlearning as a promising negation of…

The main aim of this paper is to propose a critical view of the application of Toulmin's model of argument to mathematics education, focusing on aspects that have strong teaching implications. It is claimed that Toulmin's description of arguments in mathematics, in particular as regards the relations between form and meaning, is misleading and out…

Visualization and argumentation are central processes in the learning of geometry, giving rise to specific lines of research in mathematics education. However, it is worth asking whether they should be developed independently or if it is possible and in what way an articulation between them can be promoted. The objective of this paper is to search…

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…

Like other papers in this symposium, this essay approaches the question of responsible belief through the lens of social epistemology: what are the processes by which knowledge claims, evidence, perspectives, and arguments get shared within knowledge-making communities? In this paper, Nicholas Burbules argues that these processes are essentially…

Professors in proof-based mathematics courses often intend that the feedback they provide on students' flawed proofs will promote proof comprehension. In this theoretical article, we investigate how such feedback can be formulated. Drawing on Lakatos's process of proof and refutation, we propose the notion of "heuristic refutation…

Educators, philosophers, and commentators in the popular media often assume that students and adult citizens alike should engage in dialogue regarding ethical, social, and political issues, particularly with people who hold different views. Debates about the value of such dialogue tend to focus on the political implications of these exchanges and…

Discourse around school choice often is divisive. Less understood is the effect polarization has within advocate groups. The Narrative Policy Framework (NPF) approach offers a systematic approach to understanding how political actors use narratives to affect policy debates. Because NPF assumes bounded relativity, the approach requires a theory of…

Rhetorical figures of speech provide important analytical frames to chart how arguments operate within genres and within genre ecologies. Varieties of the figure prolepsis allow for the rendering of future time or fact in the present, which can be a powerful rhetorical inducement toward social and political action. In this article, we examine how…

Educational discourse constantly demonstrates a cursory dichotomous view of knowledge in which positivism and relativism are contrasted, a condition which almost unavoidably results in favorable references to relativism. The difficulty lies in the objective qualities of knowledge being associated with positivist absolutism, which brings about fear…

We combine empirical experimental research on biased argument processing with a computational theory of group deliberation to overcome the micro-macro problem of sociology and to clarify the role of biased processing in debates around energy. We integrate biased processing into the framework of argument communication theory in which agents…

The argument-based approach is the current framework for validity and validation. One of the criticisms is that understanding and applying this approach to practice are complicated and require abstract thinking. Teachers or school administrators in teaching and learning need support in their validation practice. Due to the abstract structure of…

Andrew Aberdein recently explored whether Aristotle held a (proto-)virtue argumentation theory, which would evaluate a good argument in terms of whether the arguers engaged virtuously. Aberdein admits, however, that connections between virtue, character, and argumentation are scarce within Aristotle's works. Accordingly, here Cassie Finley…

A cursory review of scholarly articles concerning community colleges will undoubtedly result in references to the ''cooling out'' function of academic advising. This theory remains among one of the most cited critiques of these institutions to date. Many scholars have debated the accuracy of the assertion, arguing that community college advisors…

The debate about the ethics of belief is a classic and it has given rise to wide-ranging debates in epistemology, the philosophy of language, the philosophy of mind, as well as in ethics. In epistemology, the question is what the norms of belief are -- should one believe what is true, what is well-evidenced, what is pragmatic or what? -- and this…