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…

Purpose: This paper aims to explore a transdisciplinary approach to the careers and employability education of transnational education (TNE) students of higher education. It proposes that an approach which adopts three lenses of academic study, lived experience and career stage can provide maximum benefits to the TNE students' careers education,…

As Gen Z enters an era of rapid technological change, economic uncertainty, and global challenges, traditional education models must evolve to foster adaptability, autonomy, and resilience. This article explores the role of heutagogy (self-determined learning), internships, and collective action in redefining education to prepare students for an…

Although the literature on critical thinking and transformative learning has remained relatively distinct, they have both emphasized the importance of working through and resolving states of doubt. There has been less focus, however, on how we can bring ourselves from a confirmed belief to a position of doubt. This is a foundational skill. Without…

In this manuscript, we describe a coding club we created and implemented during the COVID-19 pandemic. We were purposeful in creating the club to: (a) focus on design and problem solving as the basis for learning computer coding and (b) include elements to improve the engagement of girls. We ran multiple iterations of a Girls Design with Code Club…

In light of current developments, there is an increasing effort to integrate computing-oriented activities into the education of children as young as two years old. Although the computing strand is not officially addressed in the Early Years Foundation Stage Statutory Framework (DfES, 2024), a small number of early years teachers in England…

Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…

The research on mathematical argumentation has mainly adopted a dialectic lens which focuses on understanding the abstract and logical development of reasoning in argumentation. However, this approach may have overlooked other key aspects of mathematical argumentation, including the unfolding of the meaning-making experience and process during…

Students with mathematics difficulty, especially students with disabilities and emergent bilinguals, require careful consideration during word-problem instruction. Word problems that include relational terms such as more but are not easily solved using the implied operation (i.e., addition) can be particularly challenging. First, we summarize a…

Most theories of intelligence do not directly address the question of whether people with high intelligence can successfully solve real world problems. A high IQ is correlated with many important outcomes (e.g., academic prominence, reduced crime), but it does not protect against cognitive biases, partisan thinking, reactance, or confirmation…

In research on mathematical problem posing, a broad spectrum of different situations is used to induce the activity of posing problems. This review aims at characterizing these so-called problem-posing situations by conducting three consecutive analyses: (1) By analyzing the openness of potential problem-posing situations, the concept of…

This paper describes LOGAX, an interactive tutoring tool that gives hints and feedback to a student who stepwise constructs a Hilbert-style axiomatic proof in propositional logic. LOGAX generates proofs to calculate hints and feedback. We compare these generated proofs with expert proofs and student solutions, and conclude that the quality of the…

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…

Functional fixedness involves difficulty with conceptualizing creative object uses. When it obstructs problem-solving, individuals must reframe their approach. We examined how different training techniques--chunk decomposition (i.e., considering an object's basic parts and physical properties) and constraint relaxation (i.e., considering an…

With the world growing in complexity and interconnectedness, the demand for leaders equipped to solve compound problems will only increase. Higher education is called upon to develop leadership in students and needs to engage relevant tools and techniques to prepare students for the tasks ahead. Democratic engagement--from voter education and…