In this note we demonstrate two instances where matrix multiplication can be easily verified. In the first setting, the matrix product appears as matrix element concatenation, and in the second, the product coincides with matrix addition. General proofs for some results are provided with a more complete description for 2×2 matrices. Suggested for…

Developmental mathematics courses play a critical role in ensuring that students have the foundational mathematical skills necessary to succeed in higher educational mathematics coursework. With the introduction of the corequisite format in recent educational reforms, there has been a growing trend towards transferring developmental mathematics…

The topic of this research study is mastery learning, an educational theory that began with the work of John Carrol in 1963. The core principle of this theory is that all students can achieve uniform learning outcomes, but it will take some students longer than others to reach the same performance goals. The problem that this research study…

The extent of engagement between students and their teachers, peers, academic and extracurricular activities goes a long way in creating a sense of belonging for students and effectual improvement in their performance in the subject matter. This study investigated the effect of mastery learning instructional scheme (MLIS) on post-basic school…

Using Coarsened Exact Matching (CEM), this analysis examined the impact of Zearn Math across 7,116 matched pairs of students in 31 Louisiana parishes. Students who completed an average of 3+ Zearn Math lessons per week during the 2021-2022 school year were compared to similarly matched peers who completed less than 1 lesson per week. Findings…

This study aimed to explore the effects of Mastery Learning Strategy (MLS) on senior school students' performance in Mathematics in Osogbo, Nigeria. The quasi-experimental study's goals were to investigate how MLS affected mathematics students' performance according to their gender and score levels. A purposive sampling technique was used to…

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 article provides conceptual ideas, data, and exercises, for integrating original sources of recent, state of the art, world-class life science research in the undergraduate mathematics curriculum and classroom. To this end, this article shows how one of the main goals of calculus in the life sciences, fitting parameters to data and assessing…

Achieving meaningful educational outcomes requires scalable strategies for mastering mathematical concepts and skills, with student engagement at the core. This paper examines the use of comprehensive, technology-enhanced activities designed to promote active learning and deeper conceptual understanding. Specifically, it focuses on the integration…

Background/purpose: In modern mathematical education, it is important to develop students' ability to understand the fundamental properties of geometric objects deeply. This makes it relevant to study the additivity of the area of triangles as a property inherent in various kinds of quantities and ways of representing it methodologically in the…

In response to a shift to high-stakes assessments, teachers are changing their instruction and approaches away from research-based formal training on best practices teaching in response to the stress and pressure this shift has created (Avalos et al., 2020; Gonzalez et al., 2017; Musoleno & White, 2010). More research is needed on teachers who…

Mastery learning -- the process by which students must demonstrate proficiency with a single topic before moving on -- is well recognized as one of the best ways to learn, yet many teachers struggle or remain unsure about how to implement it into a classroom setting. This study leverages two field experiments to test the efficacy of a program…

Differentiated instruction (DI) is a philosophical and pedagogical approach addressing student diversity in the classroom, supporting student engagement in learning. There is, however, limited research into the application of DI in senior-secondary mathematics. This research reports on two mathematics teachers in two Australian states, using…

This paper explores how the twin processes of neoliberalism and neoconservatism work together on, and through, curricula and their associated pedagogies. It bridges the gap between policy and classroom practice, focusing on the particular example of the school subject of mathematics and the notion of mastery, operationalised in the English…

This study investigated the effect a computer intervention program has on student proficiency in the Algebra 1 End of Course (EOC) examination. This study utilized the intervention math program IXL Math, a computerized program that targets individual students' skill practice and supports students' need to accelerate mastery of Algebra 1 skills in…