In this theoretical article, we argue that the imminent collapse of earth systems that sustain life forms calls for mathematics education as a field to reflect on and re-evaluate its priorities and thus practices. We consider both what ecological collapse means for mathematics education and whether mathematics education might offer meaningful…

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…

For decades, mastery ambitions related to processes like problem-solving, modelling, and reasoning have been incorporated in mathematics curricula around the world. Meanwhile, such ambitions are hindered by syllabusism, a term I use to denote a conviction that results in mastery of a subject being equated with proficiency in a specific subject…

In the literature in recent years, a number of developmental studies have demonstrated the importance of children entering the school environment with a solid foundation of mathematical content knowledge and argued that problem solving, as an important mathematical process, should be acknowledged in early childhood mathematical education. However,…

How can school mathematics prepare citizens for a democratic society? Answers to this question are not static; they change as society and its problems change. The SARS-CoV-2 pandemic with its corresponding disease COVID-19 presents such a problem: what is needed to navigate this complex situation that involves, among other things, mathematics?…

In March 2020, near the onset of the COVID-19 related lockdowns, quarantine, and isolation measures being taken worldwide, we noticed an increasing number of graphs, diagrams, images and mathematical models relating to the pandemic posted on our Facebook walls. For the purposes of this paper, we selected a number of these Facebook posts to discuss…

This essay extends beyond the characteristics and discourse of word problems to, more generally, school mathematical problem-solving and the implications entailed by a predominant paper-and-pencil mode of learning and instruction since the modern era of education. Contrasting what I call "one-handed" (with paper-and-pencil) with…

This paper adopts a biopower lens to examine emergency declarations that posit race or racism as problems to be addressed through mathematics education. We argue that attending to "slow emergencies" of racism must avoid sustaining mathematics education as a self-evident cause and cure for societal problems. We analyze how declarations of…

The contribution aims at subject-specific analyses of student solutions of an exercise from an electrical engineering signal theory course. The basis for the analyses is provided by praxeological studies (in the sense of the Anthropological Theory of Didactics) and the identification of two institutional mathematical discourses, one related to…

While recovering from a major personal tipping point (see Part I), I was still able to keep on the lookout for Canadian mathematics education matters. After all, if Canadian mathematics education matters, Canadian mathematics education matters. In doing so, I ran into a number of other financial problems. Everywhere I turned was a financial…

Constantly on the lookout for and with a vested interest in Canadian mathematics education matters, because if Canadian mathematics education matters then Canadian mathematics education matters, this article is an investigation into the Canadian lottery landscape. With apologies to the Atlantic Lottery, Loto-Québec and Ontario Lottery and Gaming,…

This article explores the educational and philosophical contributions of Nikolai V. Bugaev, a prominent 19th-century Russian mathematician and founder of the Moscow philosophical-mathematical school. The study specifically focuses on Bugaev's textbook, "Arithmetic of Whole Numbers," analyzing Bugaev's pedagogical approaches within the…

How can a student experience what happens in the mind of a mathematician while solving a problem? In this paper we discuss a theoretical design of an educational script, based on digital interactive storytelling. Parallel to Docter's 'Inside Out', the cognitive functions occurring in problem solving become characters of a story-problem. Students…

This article presents a philosophical and pragmatic critique of critical mathematics (CM) and current vocational mathematics (VM) in the United States. I argue that, despite differences, CM and VM advocates share the view that the inauthentic contextualization of secondary mathematics does particular harm to students from historically marginalized…

Though there is an extensive research literature on understanding and assessing individual modeling competencies, less attention has been given to characterizing the social context of the classroom in which modeling occurs. Yet a classroom's culture of modeling--its negotiated system of beliefs and values about the nature of modeling and what…