Jordan canonical form (JCF) is one of the most important, and useful, concepts in linear algebra. Mathematics, physics, biology, science and engineering undergraduates often find the first application of real JCF in the discipline of differential equations (continuous models) to solving systems of differential equations. In this work, we apply…

The COVID-19 pandemic, like past historical events such as the Vietnam War or 9/11, will shape a generation. Mathematics educators can seize this unprecedented opportunity to teach the principles of mathematical modeling in epidemiology. Compartmental epidemiological models, such as the SIR (susceptible-infected-recovered), are widely used by…

Despite the plethora of research on computer-supported collaborative writing, previous studies have failed to provide an adequate analysis of the quality and quantity of multi-authored texts due to the vast amount of unstructured data. This study aims to expand the current research by contributing new perspectives to the understanding of students'…

This research paper explores the integration of ChatGPT as a tool for interactive learning of numerical methods in a differential equations (DEs) course. DE course is crucial for engineering students to model real-world phenomena. However, many DE courses focus only on analytical solutions and neglect important numerical solutions. To overcome…

This paper presents research activity in the solution of geometric tasks by mathematics teachers and by mathematics teacher trainees at a College of Education as part of an advanced courses. This activity tested the level of knowledge and ability to apply it in the solution of problems that can be solved in a number of ways: by using various tools…

Expressing thoughts and feelings efficiently is fundamental in daily, academic, and professional life. Accordingly, self-efficacy beliefs play pivotal roles in shaping learners' speaking performance through various dimensions. Higher education institutions assume responsibility for boosting students' speaking self-efficacy, thereby contributing to…

Introductory courses in biology often lack sufficient emphasis on quantitative skills and interdisciplinary problem solving, leaving many students unprepared for more advanced biology coursework and hampering their ability to pursue biology research careers. MathBench Biology Modules were created to enhance the quantitative skills of biology…

Fifteen pre-service mathematics teachers studying in a teachers college participated in a unique program entitled "From high-tech to teaching" as part of a specialization program for teaching advanced secondary school mathematics. During the course, they solved various mathematical problems and then were asked to pose additional problems…

Massive Open Online Courses (MOOCs) can appeal to very large masses as a distance education model and provide the same quality and standard education with large user groups worldwide via the internet. In MOOC systems, users can get the course they want for free or for a small fee in the application they are registered with, using videos, lecture…

Early predictors of student success are becoming a key tool in flipped and online courses to ensure that no student is left behind along course activities. However, with an increased interest in this area, it has become hard to keep track of what the state of the art in early success prediction is. Moreover, prior work on early success prediction…

in this paper we focus on the link between the use of dynamic geometry software and student understanding for the solution of systems of linear equations from an instrumental genesis perspective. Three task-based interviews were conducted with an undergraduate linear algebra student majoring in mathematics education and proficient in using dynamic…

The aim of this research is to analyse students' sense-making regarding matrix representation of geometric transformations in a dynamic geometry environment (DGE) within the perspective of semiotic mediation. In particular, the focus is on students' reasoning on the transition from the notion of function to transformation and to matrix…

In response to calls for improving the quality of DCTs as data-gathering instruments, this study investigates the effectiveness of technology-enhanced discourse completion tasks (TE-DCTs) as a method for eliciting nonverbal speaker data. We used a mobile application to administer four TE-DCTs to native speakers (L1) and intermediate and advanced…

Quantitative literacy is an essential twenty-first century skill that universities are heavily invested in teaching to students. The social sciences play an important role in these efforts because they attract students who might otherwise avoid data and mathematically oriented courses and because they ground quantitative reasoning in political and…

While research on teaching qualitative methods in education has increased, few studies explore teaching qualitative data analysis software within graduate-level methods courses. During 2013, we required students in several such courses to use ATLAS.ti™ as a project management tool for their assignments. By supporting students' early experiences…