Mathematics teachers are often keen to find ways of connecting mathematics with the real world. One way to do so is to teach mathematical modelling using real data. Mathematical models have two components: a model structure and parameters within that structure. Real data can be used in one of two ways for each component: (a) to…

The question is whether or not we or any student are allowed to define a measure of variability in some other way that is not written in textbooks and officially approved. We compare the sum of squares of all deviations against the usual sum of squares of deviations from the mean.

Linear algebra is best done with block matrices. As evidence in support of this thesis, we present numerous examples suitable for classroom presentation.

The family of paths of ideal projectiles shot from a point with a common value of speed and at different angles to the horizontal has several interesting properties associated with it. For example, Chapou et al. have shown that an ellipse passes through the apexes of these parabolic paths. This observation encouraged us to further explore this…

This article explores the development of 'mastery mathematics' -- a significant development in mathematics in England -- and opens up some questions about the intended and unintended consequences of the promotion of this approach by the government.

This conceptual paper offers a reconsideration of the application of Novakian concept mapping to higher education research by putting to work the Deleuzian concept of the rhizome. We ask: what does thinking with Deleuze's concepts offer researchers interested in concept mapping, and what conceptual, and terminological, obstacles might be created…

Microorganisms are diverse, minute, simple life-forms that generally cannot be seen by the naked eye and require the use of a microscope to be visualized. They have a great impact on all other life-forms. Their tiny size conceals them from us, engendering misunderstanding and fear due to the diseases caused by only a tiny minority of them. We…

Practical Implications: By expanding the definition of formative assessment to include new or untried approaches, teachers can more precisely guide students as they learn. [For the complete volume, "What's Hot in Literacy: Exemplar Models of Effective Practice. Literacy Research, Practice and Evaluation. Volume 11," see ED614707.]

Purpose: The pandemic's health and social issues have significantly altered the character and manner of teaching and learning in higher education across the country. The use of technology to replace or integrate face-to-face learning with online learning has become a necessary requirement for promoting and continuing learning processes.…

Increasing phonological awareness of children with special needs is of vital importance, as it helps them to face different problems they face. Therefore, this study assessed the efficacy of implementing an instructional program to raise phonological awareness in improving the phonetic sequential-memorisation ability of students with learning…

This study explores secondary mathematics teachers' perceptions of the experiences that contributed to their capacities to understand mathematical modeling and to facilitate students' modeling experiences. The retrospective research methods and transformative learning theory frame used in the study honor teachers as adult learners and value their…

Multilingual education and acculturation research share a parallel history of problematic research paradigms that center the majority viewpoint and view minorities through a lens of deficit. This continual pathology of cultural difference has led to the pathologization of minority individuals, and has hampered our efforts to effectively understand…

This study aims to document the emotional experiences of school counselors in promoting elementary school students' health literacy during and after the coronavirus disease 2019 (COVID-19) pandemic. Six school counselors were voluntarily recruited as participants and invited to be interviewed. Interview data were analyzed using Andy Hargreave's…

Music educators typically use a variety of strategies to teach their subject matter, one core practice of which is modeling. Vocal modeling is a type of aural demonstration, with uses ranging from pitch matching and song instruction to vocal tone building and musicianship development. In early studies, researchers primarily studied the effects of…

Scholars of teaching and learning frequently examine whether simulations promote content knowledge and engagement with course material. But many educators use simulations to promote additional goals. This article suggests that designers of political simulations often pursue four ends: "knowledge, engagement, skills, and empathy (KESE)."…