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…

Public education in the United States is breaking down on two dimensions: its bureaucratic organization and its conceptualization of the learning process. These breakdowns result from attempts to deliver public education using business models and have failed to support the needs of both students and teachers. This breakdown has been further…

Humans routinely use external thinking tools, like pencil and paper, maps, and calculators, to solve cognitive problems that would have once been solved internally. As many youth face unprecedented exposure to increasingly capable technological aids, there is a growing pressure to understand children's cognitive offloading capacities and…

Educators consider the development of problem-solving skills in learners to be a primary goal of contemporary teaching and learning efforts. Yet, participating in problem-centered instruction is challenging for learners, and educators have sought different ways of supporting learners as they make sense of complex content. Social media applications…

Since Bruner's introduction of discovery learning in the 1960s, there has been an ongoing and intensive debate on the value of inductive teaching methods (e.g., problem-solving followed by instruction, such as in problem-based learning and productive failure) compared to deductive teaching methods (instruction followed by problem-solving, such as…

Evidence in South Africa of poor performance on word problems points to particular challenges among learners relating to difficulties with, on the one hand, making sense of mathematical word problems and, on the other, moving beyond inefficient counting based calculation methods. While many studies in mathematics education in South Africa have…

We performed an inductive study to advance theory on how a crisis can inspire individuals to be persistently creative in successive cycles. We draw from rich data of 17 volunteer projects in the Tech4Covid movement, a Portuguese organization of entrepreneurs who gathered online to develop digital solutions to help society during the COVID-19…

What are consequential world problems? As "grand societal challenges", one might define them as problems that affect a large number of people, perhaps even the entire planet, including problems such as climate change, distributive justice, world peace, world nutrition, clean air and clean water, access to education, and many more. The…

Arithmetic word problems are a staple in mathematical curricula yet give individuals of all ages difficulty. Successful word problem solving requires translating the problem into a symbolic arithmetic format. However, the linguistic component may make problem solving more complex and increase cognitive load, specifically the processes that…

The biggest threat to an equitable and prosperous American society is not a particular educational policy, but the gravitational pull of politics, explains Jonathan Collins. Before educational policy can be developed and put into place, the politics that drive education must be acknowledged and addressed. Violence is erupting at school board…

This essay explains that periodic examination of the goals of education is essential for educational institutions to ensure they are adequately preparing students to address the challenges of the present and build a better future. It argues that education is an ethical enterprise, and that clear and shared goals provide education institutions with…

Even though agent-based modelling is seen as committing to a mechanistic, generative type of causation, the methodology allows for representing many other types of causal explanations. Agent-based models are capable of "integrating" diverse causal relationships into coherent causal mechanisms. They mirror the crucial, multi-level…

This article engages in the discussion about education's role in relation to sustainability problems, a debate characterised by a tension between two legitimate concerns: a concern about the instrumentalisation of education, and a concern for the urgent need of widespread engagement and mobilisation for coping with the consequences of severe…

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…

Instructional strategies employing complex problem-solving examine how learners represent the problem space and argue for decisions. Unlike problems with few solutions (e.g., multiple choices), instructors struggle to evaluate solutions to ill-structured problems quickly and consistently across students. This prevents instructors to provide timely…