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…

Academically talented students with autism, also known as twice-exceptional students with autism (2eASD), are increasingly identified in school. These students present challenges to educators who attempt to plan and implement successful instructional opportunities, as teachers' knowledge and use of evidence-based practices (EBPs) for students…

This paper examines the pedagogical integration of Virtual Microscopes (VMs) in Virtual Learning Environments (VLEs), to identify best practice and improve online pedagogy. It has captured the perspectives of 12 Health and Earth Science university teachers, through in-depth interviews, about the current integration of the VM in online teaching,…

The purpose of this study was to understand ways in which teachers define student self-assessment, explore teachers' reasons for using or not using student self-assessment, and explicate the beliefs associated with these reasons. Drawing on Ajzen's theory of planned behavior, the authors interviewed seven high school teachers and explored the…

Theoretically framed by public pedagogy, the study explores teachers' use of public sites for undocumented migrant children. The findings demonstrate that teachers utilized various non-school, informal, and public spaces including libraries/museums, open marketplaces, and public parks/squares as powerful platforms to foster children's learning,…

This paper presents a teaching scenario designed to introduce preschool children to electricity, structured around the 5E instructional model (Engage, Explore, Explain, Elaborate, Evaluate). The study involves 18 children from an urban kindergarten with diverse backgrounds and learning needs. Over four weeks, children engage in interactive…

Purpose: Nearly 50 years ago, Durkin (1978-1979) conducted a seminal observation study on reading comprehension teaching in Grades 3 through 6. She reported that teachers rarely taught reading comprehension (less than 1% of instructional time). Since then, we have gained substantial knowledge about teaching reading comprehension. We aimed to…

Creating a socially just pedagogy from a grassroots level could help address issues of educational injustice. This paper focuses on the creation of the student voice for social justice (SVSJ) pedagogical method that is based on Nancy Fraser's political social justice framework. The resulting approach, developed through participatory action…

This paper reflects the results from a 3-year quantitative study in higher education on inquiry-based learning (IBL). Utilizing primary data collection in a quasi-experimental survey, we examined the impact of IBL on six cohorts of undergraduate students. We aimed to answer our main research question: Can IBL be an effective pedagogy that helps…