Practices within research mathematics can and do serve as models for mathematics education. However, typically such inspirations impose a devastating narrowness in relation to reflections on mathematics. This narrowness I refer to as the "banality of mathematical expertise". Reflections on mathematics can be expressed through a…

It is commonplace in the educational literature on mathematical practice to argue for a general conclusion from isolated quotations from famous mathematicians. In this paper, we supply a critique of this mode of inference. We review empirical results that show the diversity and instability of mathematicians' opinions on mathematical practice.…

Background: Organised cervical screening programmes are a combination of arrangements designed to maximise benefit and minimise harm associated with cervical cancer at the population level. Many organised programmes are described as 'evidence-based', reflecting an expectation that healthcare should be based on the tenets of Evidence-Based Medicine…

Spurred by Kilpatrick's (1987) "Where do good problems come from?", this study explores problem-posing triggers of experienced problem posers for mathematics competitions. Triggers are conceived as instances of noticing, where an impulse draws a poser's attention and "triggers off" a mathematical re-action, one of the outcomes…

Background: The co-production concept holds out the promise of forging new relationships between professionals and service users with intellectual disabilities. However, little empirical research explores the embodied practices of these projects occasion. We identify two key tensions intrinsic to such projects; the tension between…

The field legality of expertise for job applicants in the field of vocational education is one of the strong considerations. This recognition can obtain through accredited professional institutions such as the Professional Certification Institute (PCI), which operates independently. The problem arises that PCI in the automotive sector consists of…

Purpose: An undergraduate civil engineering programme is assessed for its relevance to the building construction sector. Its contrast from the existing curriculum structure is also highlighted. Design/methodology/approach: The curriculum is clustered into 15 groups based on disciplines. A pairwise comparison of groups is conducted by experts from…

Instructional coaching has emerged as a promising form of professional development for teachers. However, little is known about the background, contexts, professional responsibilities, and beliefs of instructional coaches who work with science teachers. This mixed-methods study focused on instructional coaches in secondary schools across the…

This study investigates the effectiveness of integrating Mongolian folk songs into contemporary literacy practices, focusing on enhancing student engagement and literacy development. By employing ethnographic methods, the research explores the effectiveness of using traditional music to foster cultural awareness and improve literacy skills among…

In recent years, teacher noticing has emerged as a construct to capture the dynamic and situational aspects of teaching expertise that underlies teachers' in-the-moment teaching decisions and actions. In mathematics education research, in particular, teacher noticing has been studied to understand how teachers attend to, and make sense of,…

As the field of Positive Education gains traction globally, there is a recognised concern around sustainability. Many schools utilise external providers to engage and educate schools on 'wellbeing science', which in the main is comprised of research from the field of Positive Psychology. This often involves a significant financial and time…

Critique can be defined as disciplinary feedback, analysis, or assessment provided to an individual or within a group, be it a classroom or a team. At a fundamental level, it is an exchange of ideas, impressions, evaluations, opinions, reflections, judgments, speculations, or suggestions to oneself or between two or more participants in a defined…

The past 40 years have been characterized by an ongoing shift in the rationale underlying the use of educational technologies -- an earlier emphasis on efficiency and engagement has been overshadowed by a vision centered on educational technologies' capacity to facilitate authentic learning in the inauthentic school context. However, despite its…

In calculus, related rates problems are some of the most difficult for students to master. This is due, in part, to the nature of the problems, which require constructing a nuanced mental model and a solid understanding of the function. Many textbooks present a procedure for their solution that is unlike how experts approach the problem and elide…

The researchers investigated music teachers' perceptions of the sources and difficulty of competency acquisition for music teaching. Participants (N = 338) were music teachers in Arizona, Texas, and Washington. Using categorized competencies for music teaching (music, teaching, or personal skills/knowledge), the researchers divided participants…