In XVII century, presumably between 1637 and 1638, with a note in the margin of Diophantus' "Arithmetica", Pierre de Fermat stated that Diophantine equations of the Pythagorean form, x[superscript n] + y[superscript n] = z[superscript n], have no integer solutions for n > 2, and (x, y, z) > 0. Of this statement, however, Fermat…

Medical sciences education emphasizes basic science learning as a prerequisite to clinical learning. Studies exploring relationships between achievement in the basic sciences and subsequent achievement in the clinical sciences generally suggest a significant positive relationship. Basic science knowledge and clinical experience are theorized to…

The growing popularity of generative artificial intelligence (AI) tools presents new challenges for data quality in online surveys and experiments. This study examines participants' use of large language models to answer open-ended survey questions and describes empirical tendencies in human versus large language model (LLM)-generated text…

Whilst research has always been political and politicized, an emerging theme in the area of research ethics and integrity (REI) is the increased politicization of REI itself in areas of scientific and/or political controversy such as climate change, gender dysphoria treatment, the management of pandemics and women's reproductive rights. One aspect…

In 2018, we received state funding for 'curriculum reform' to design an academic literacy course that would orient students to legitimate ways of reading and writing in the academy while fostering critical citizenship. Thus, drawing on the view of literacy as a social practice, the course design was shaped around relatable content, in this case,…

Engaging with current protests for climate justice on university campuses, this paper discusses how matters of concern are shared in the university and how cohabitation on campus itself becomes a public matter. Multiple ecological and political crises shed light on the interdependence between the public and the communal dimension of university.…

Large language models (LLMs) are now widely accessible, reaching learners across all educational levels. This development has raised concerns that their use may circumvent essential learning processes and compromise the integrity of established assessment formats. In physics education, where problem solving plays a central role in both instruction…

Background/purpose: Learning mathematics often presents challenges for students, particularly in problem-solving and establishing mathematical connections. Self-regulated learning allows students to direct, adjust, and control their learning processes. This approach is essential in encouraging students to manage their learning strategies…

We present example assessments featuring spectroscopic unknown puzzles, where the solution to the puzzle is the outcome of a known chemical reaction. These spectroscopic exercises engage students in a substantially more authentic manner than the conventional structure elucidation puzzles that are ubiquitous in organic chemistry instruction.…

This paper aims to understand how primary students use gestures to solve partition tasks and to what extent these gestures may promote fraction understanding. Analysis of six selected students' answers to partitioning tasks, classroom observation, and post-lesson interviews indicates that co-thought representational gestures play a critical role.…

Researchers increasingly have access to two types of data: (i) large observational datasets where treatment (e.g., class size) is not randomized but several primary outcomes (e.g., graduation rates) and secondary outcomes (e.g., test scores) are observed and (ii) experimental data in which treatment is randomized but only secondary outcomes are…

We present the results of a study investigating the potential role of the generative AI GPT-4 in scaffolding students' metacognitive activities during problem-solving. The theoretical framework according to which students' interactions with GPT-4 are analysed is based on three main components: the notion of utilisation scheme within the frame of…

In its exploration of key debates related to curriculum, pedagogy, and policy, "Severe, Profound and Multiple Learning Difficulties in School" provokes thinking about how we reach decisions related to vulnerable learners. The book discusses a number of 'dilemma stories' from teachers of learners with Severe, Profound, and Multiple…

While previous research has examined usage patterns and impacts of the expanded U.S. Child Tax Credit (CTC), less is known about how families raising children with disabilities responded to the CTC. While it is well-established that these families face greater financial constraints than other families, their utilization of such public programs…

Research has shown that teaching mathematics through problem posing, or problem-posing based learning (P-PBL), is a student-centered instructional approach that can improve students' cognitive and affective aspects of learning. However, since textbooks continue to include very few opportunities for problem posing, researchers have been working to…