Teaching the noncommutativity of the product of matrices to high school or college level students is a difficult task when approached from a purely formal perspective. The aim of this paper is to present a simple experimental activity for teaching the noncommutativity of the matrix product, based on the Jones calculus, a mathematical formalism for…

The digitization of library and archive collections over the last two decades has enabled efforts to reform history education through the integration of primary sources. Currently the Library of Congress provides one of the largest digital collections of its kind. The authors' project, with support from the Library, provides social studies…

As educators and school leaders work towards building students' capacity throughout a student's academic career, the goal is to facilitate opportunities for students to develop college and career readiness skills that can be applied to novel and challenging problems long after high school graduation. Hess' Cognitive Rigor Matrix (HCRM) is a tool…

Contemporary science education themes are marked by the inevitable uncertainty of consequences emerging from human actions. They encompass disasters, pandemics and other events that have been marking our present times. Understanding new risks as the ones resulting from human action, even when proposing a solution for an issue, is one of the…

Our goal in this article is to organise an epistemological matrix for the concept of rational number that contemplates its different meanings. Aiming at understanding the various ways to signify the rational numbers and based on the theoretical-methodological approach of conceptual profiles, we produce and analyse data from various sources,…

No matter how strong the theoretical infrastructure of a study is, if the measurement instruments do not have the necessary psychometric qualities, there will be a question of trust in interpreting the findings, and it will be inevitable to make wrong decisions with the results. One of the important steps in scale development/adaptation studies is…

This study aims to identify the perception levels of characteristics considered important to choose friends by adolescents from secondary education and to scale them with pair-wise comparison judgements. In this respect, this study was conducted with 100 10th grade students from a state vocational high school located in Marmara region in Turkey.…

This paper deals with the ancient origin of matrices, and the system of linear equations. Included are algebraic properties of matrices, determinants, linear transformations, and Cramer's Rule for solving the system of algebraic equations. Special attention is given to some special matrices, including matrices in graph theory and electrical…

Data were gathered from 95 Year 10 students in a New Zealand secondary school to explore how the indicators of scientific literacy are expressed in student responses. These students completed an activity based around the two contexts of lighting and health. A matrix, which incorporated descriptive indicators, was developed to analyse the student…

In light of the emergence of statistical analysis techniques based on data mining in education sciences, and the potential they offer to detect non-trivial information in large databases, this paper presents a procedure used to detect factors linked to academic achievement in large-scale assessments. The study is based on a non-experimental,…

This paper deals with the modern development of matrices, linear transformations, quadratic forms and their applications to geometry and mechanics, eigenvalues, eigenvectors and characteristic equations with applications. Included are the representations of real and complex numbers, and quaternions by matrices, and isomorphism in order to show…

Evidence-based interventions (EBIs) are effective in preventing adolescent pregnancy and sexually transmitted infections; however, prevention practitioners are challenged when selecting and adapting the most appropriate programs. While there are existing adaptation frameworks, there is little practical guidance in applying research in the field.…

Alternative high schools serve some of the most vulnerable students and their programs present a significant challenge to evaluate. Determining the impact of an alternative high school that serves mostly at-risk students presented a significant research problem. Few studies exist that dig deeper into the characteristics and strategies of…

When solving systems of equations by using matrices, many teachers present a Gauss-Jordan elimination approach to row reducing matrices that can involve painfully tedious operations with fractions (which I will call the traditional method). In this essay, I present an alternative method to row reduce matrices that does not introduce additional…

The Student Transition project (STP) has collected eleven years of grade 12 and post-secondary enrollment data, since it's inception in 2003. This information is used to track student transitions from grade 12 graduation into post-secondary education, student mobility between post-secondary institutions and post-secondary credential completions.…