Our education systems must provide access to quality and equitable educational opportunities so all students can reach their full potential. Increasingly urgent issues, such as environmental threats, economic crises, and the recent global pandemic, have highlighted the need for education systems to be flexible and resilient in times of stress to…

Barlow et al. (2018) discussed three types of mistakes worthy of inspection: procedural errors, inappropriate solution processes, and misconceptions. Here, the authors focus on procedural errors, as these often led the teachers in their professional development project to limit their inspection of mistakes to correcting. Despite this narrow focus,…

Students, even as young as kindergarten, are natural problem solvers (Carpenter et al., 2017). Even before they learn to count, they can make sense of mathematical problems and real- world situations (National Council of Teachers of Mathematics, 2022). Kindergartners can make sense of complex story problems, including Separate Start Unknown…

Current approaches used by educational institutions to address the problem of student cheating are not working. This is because the discourse of academic integrity that currently dominates is, on its own, inadequate for addressing the problem. We propose that in order for higher education institutions to challenge cheating effectively, they need…

In his work leading professional development, Peter Klosterman found that teachers specifically asked for help teaching optimisation more effectively. To address challenges students often experience solving optimisation problems, he explains useful pedagogical strategies to support the teaching of optimisation and student learning in this topic.

The initial high expectations of applied linguistic work did not endure. Applied linguistics is divided between adopting either a modernist or a postmodernist approach. Despite their relevant critique of modernism, the relativism promoted by postmodernist perspectives is an inadequate response to the challenges of the field. A non-reductionist…

Every teacher aspires to create the ideal lesson! You want to convey the knowledge and skills in the best possible way while also keeping learners motivated. In our design case, we focus on the complex skill of collaborative problem-solving (CPS). In today's complex world, the acquisition of CPS competencies is considered an important learning…

Incorporating open-ended real-world tasks enhances students' access to mathematical and real-life knowledge and maximizes learning experiences. This article examines how a secondary mathematics teacher used an open-ended problem on distributing pay raises to teach mathematical concepts and fairness to students. The teacher's actions exemplify…

Meaningful student-teacher relationships form a crucial foundation for teachers to deliver effective interventions leading to better outcomes for students with challenging behavior. By implementing simple recommendations for facilitating genuine and intentional interactions with students and regulating their own emotional responses, teachers can…

By some estimates, over 1.2 billion tons of soil was blown across the Great Plains during the height of the Dust Bowl. The so-called "black blizzards" these massive dust storms caused suffocated cattle, sickened children, and destroyed thousands of family farms. Formerly prosperous farmers, unsure why they had such bad luck, wondered if…

This paper seeks to answer the question: How does the handling of the contradictions that emerge in activities of initial mathematics teacher education contribute to the learning of geometric knowledge when pre-service teachers and the teacher educator solve geometric construction problems with GeoGebra? A dialectical-materialist approach is used…

One way to help frame a focus on problems instead of things is the Grand Challenges concept, which has been used in many other fields to date. Grand Challenges are an articulation of large-scale, complex problems that may be addressed through coordinated and sustained efforts but require long-term effort. Often, the articulation of Grand…

The account of practice titled Action Learning to enable personal, organisational and industry level change in Welsh agriculture is set in the context of Agrisgôp which offers action learning and peer to peer mentoring as part of the Welsh Government's Farming Connect programme. The programme has adopted the Business-Driven Action Learning (BDAL)…

Problem solving, and specifically the goal of developing problem-solving competences, is a significant dimension of environmental education. Moreover, human senses and electronic sensors have been recognized as important tools in authentic problem-based learning. The purpose of this paper is to present a model to support teachers in creating…

The research reported in this article sought to develop a taxonomy of grade 11 students' levels of understanding in algebraic problem-solving tasks. The student sample was from high schools in the province of Ontario in Canada. Problems from four areas in algebra namely, variables, expressions, equations and word problems were chosen to be…