Definitions play an integral role in mathematics and mathematics classes. Yet, expectations for definitions and how they are intended to operate, i.e., mathematical norms for definitions, can remain hidden from students and conflict with other discursive norms, explaining differences in mathematicians' and students' understandings of the nature of…

This paper addresses a call for submissions to provide greater clarity on the defining features of experiential learning. This is accomplished with a critical review of literature relevant to experiential learning and a qualitative-leading, mixed-method investigation exploring the defining features, canonical works, and theoretical foundations of…

Microorganisms can be found in every part of the environment. They are found in the air, surfaces of objects, and various other ecosystems. Even our lives cannot be separated from the existence of microorganisms. Microbial communities and their metabolites can have positive and negative impacts. Even the Health sector has evaluated and reviewed…

Background: Prior research suggests that the teaching of abstract concepts can be enhanced by the use of concrete examples, but there are few controlled studies. Objective: To replicate key findings from experiment one from Rawson et al. (2015). Method: Experiment participants studied definitions of abstract concepts from psychology, either with…

Originating in adult education, the approach of task-based language teaching (TBLT) has been promoted in young language learner (YLL) education. However, its application often encounters challenges due to varying interpretations of what constitutes a "task." Previous research has repeatedly highlighted gaps in teachers' understanding of…

Purpose: The alignment between the labour market and initial vocational education and training (IVET) is placing always more importance on technical knowledge and skills, whilst metacognitive competences such as critical thinking and media literacy are increasingly neglected. In the context of IVET, this results in authors and practitioners paying…

This study explores opportunities to learn definite integrals in three widely used textbooks in the U.S. Definitions, worked examples, and exercise problems were coded using research-based cognitive resources in definite integrals. The results show that limited opportunities for students to explore multiplicative relationship between two…

Objectives: Code style is an important aspect of text-based programming because programs written with good style are considered easier to understand and change and so improve the maintainability of the delivered software product. However teaching code style is complicated by the existence of many style guides and standards that contain…

Teacher perception is one of the most important factors determining classroom teaching practices. Multiple representations are used extensively in mathematics classrooms, especially in developing conceptual understanding. The data in this study, which aims to compare Turkish and US middle school mathematics teachers' perceptions of multiple…

This paper is a part of a larger research study that we are conducting to develop a framework consisting of the data-driven best practices around teaching and learning algebra in K-12 classrooms. The purpose of this paper is to develop a usable definition for algebra interventions for the second stage of screening within the larger study, which…

Our study explores teaching practices that aim to promote students' learning to define an analytical object. A Calculus II instructor conducted a teaching experiment (TE) in which 11 students reinvented a formal definition of a limit over five class periods with the instructor's guidance. During the TE, the instructor's teaching practices were…

Using the tools of praxeological analysis and didactical transposition analysis, the treatments of the Fundamental Theorem of Calculus in one Norwegian, Grade 13 textbook is analysed, with a particular focus on the development of the logos block of the FTC. The terms structure, functioning and utility, first introduced by Chevallard in 2022, is…

Teachers have a key role in promoting Critical Thinking (CT). However, research on appropriate teaching methods for developing CT is scarce in primary education. This study investigated how CT can be fostered among pupils based on teachers' perceptions of the characteristics that promote CT and create obstacles in primary schools. We interviewed…

Divergence is not a new phenomenon in RE in England and Wales. A diverse range of aims and approaches have been promoted since RE provision became compulsory in 1944. Approaches include the phenomenological, interpretative, and dialogic with current debates centring around the benefits and challenges of a 'worldviews approach'. There have been a…

The purpose of this article is to conduct a mathematical and phenomenological comparison of three concepts: (1) the finite limit of a function at a point, (2) the finite limit of a sequence, and (3) the infinite limit of a sequence. Additionally, we aim to analyse the presence of these concepts in Spanish textbooks. The methodology employed is…