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…

The purpose of this study is to look at how a music programming course affects the development of computational thinking in undergraduate music conservatory students. In addition to teaching the fundamentals of computational thinking, music programming, and logic, the course addresses the Four C's of education. The change in students' attitudes…

Creativity is increasingly seen as a key human capability that can be deliberately developed. Correspondently, a proliferation of tools, techniques, and methods are available in the academic and popular literatures. Creative problem-solving (CPS) is one framework among these, and has a 70-year history of research and development. This essay…

In recent years, the emphasis on computational thinking (CT) has intensified as an effect of accelerated digitalisation. While most researchers are concentrating on defining CT and developing tools for its instruction and assessment, we focus on the characteristics of computational thinking problems (CTPs) -- activities requiring CT to be…

In this paper, we engage with the Research Excellence Framework (REF) -- the UK government's national policy tool for competitive allocation of scarce research funding. Success on the terms of the REF provides guaranteed income for UK Universities for a 6- or 7-year period -- and as a result, we suggest that the REF operates as an asset-like…

Jacques Ellul, a 20th century French academic, is best known for his writing on "technique," understood as both individual means to ends and an all-encompassing system that prioritizes efficient solutions to problems. While Ellul's terminology is not necessarily familiar in contemporary educational technology research, it represents…

Driven by the desire to address wicked problems and contribute to societal transitions, positive societal impact is on the agenda of higher education institutions. This article explores how the repositioning of education can take shape by redefining wicked problems as matters of concern. Problems presuppose solutions; concerns reflect ambiguities,…

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…

Research into mathematics education at university level includes a wide range of theoretical approaches. This poses considerable challenges to researchers in terms of understanding and harmonizing the compatibility and commensurability of those approaches. The research community has already problematised and studied these challenges using…

The increasingly neoliberal course of Higher Education is linked to rises in student anxiety around assessment and increased fear of the consequences of failure. Making mistakes is an inevitable part of any learning process (and of life generally) and managing failure in a productive and positive way is crucial for success and wellbeing beyond…

Modern online education has the capacity to provide intelligent educational services by automatically analyzing substantial amounts of student behavioral data. Knowledge tracing (KT) is one of the fundamental tasks for student behavioral data analysis, aiming to monitor students' evolving knowledge state during their problem-solving process. In…

A pedagogical dilemma occurs when an in-class event or external factor challenges a teacher's principles or instructional practices and compels the teacher to resolve the dilemma. This article focuses on how resolving dilemmas can enhance the conceptual understanding of both student teachers and their supervisors. The supervisory setting this…

This article introduces an analytic strategy or thinking tool called the 'What's the Problem Represented to be?' (WPR) approach and suggests its usefulness for reflecting on important debates in music education. First developed as a mode of policy analysis, WPR has since been adopted in many fields and topic areas. The WPR approach consists of…

Problem solving is widely regarded as a fundamental feature within the school mathematics curriculum. However, there is considerable disagreement over what exactly problem solving is, and if and how it can be taught. In this article, I define problems as non-routine tasks and propose the explicit teaching of domain-specific problem-solving tactics…

In learning to program and understanding how a programming language controls a computer, learners develop both insights and misconceptions whilst their mental models are gradually refined. It is important that the learner is able to distinguish the different elements and roles of a computer (compiler, interpreter, memory, etc.), which novice…