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…

When a response pattern does not fit a selected measurement model, one may resort to robust ability estimation. Two popular robust methods are biweight and Huber weight. So far, research on these methods has been quite limited. This article proposes the maximum a posteriori biweight (BMAP) and Huber weight (HMAP) estimation methods. These methods…

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…

Cost analysis examines the costs of specific programs--including interventions, education practices and policies, and tools--designed to improve students' academic outcomes. Cost analysis--(1) Describes the resources needed to run a program, whether related to personnel, facilities, or materials; (2) Attaches value (estimates prices) for those…

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)."…

Knowledge exchange (KE) is increasingly important in higher education internationally, yet relatively little attention has been paid to it as a pedagogic opportunity for students. This paper draws on 26 interviews with stakeholders within and outside HE to develop a model of student-led knowledge exchange as a guide for learning through KE. The…