Students enrolled in introductory math courses, such as college algebra, deserve to do more than find answers and fix mistakes. We present one interactive digital activity, the Cannon Man "Techtivity," which we developed to provide opportunities for students to develop an understanding of function, beyond just applying a rule, such as…

This paper describes an embedded case study of "blended" teaching integrated with traditional lessons in a Student-Centered Active Learning Environment and social activities on the platform. The didactic phenomena were designed by creating learning environments, artifacts, and teaching/learning sequences in authentic educational…

Universities are encouraging the implementation of innovative methodologies and teaching strategies to develop an interactive and appealing educational environment where students are the focus of the learning process. In such a personalised learning environment, an increase of the students' engagement and the improvement of the outcomes arise.…

Transforming an observable phenomenon into a tractable model is a challenging process, from determining the appropriate modeling scale to making realistic simplifying assumptions. However, many modeling texts are anchored around problems that have already been synthesized into a digestible format, which inhibits an opportunity to engage students…

This paper introduces a course design for a post-Calculus undergraduate course on mathematical modeling for the life sciences. The course includes differential equations, discrete, and cellular automata approaches (among others) to modeling questions in the life sciences, as well as a variety of biological topics. The course focuses on model…

We present the Active Learning tools introduced in basic mathematics courses in the Preparatory Curriculum for Engineering schools at Université Claude Bernard. Additions were introduced in the academic year 2018/2019 in Foundations of Mathematics 2, in the first year of bachelor study program. Its content are Linear Algebra (matrices, vector…

In this paper a class of regular surfaces, generated by rotation and twist of a rigid line segment, is considered. Firstly a complete description of those surfaces by means of local charts is obtained and then its orientability is characterized in terms of the number of half-twists, taking into account their direction (clockwise or…

In this article, the author presents a Desmos activity where students adjust the measures of angles in radians to reposition a laser and a mirror so the beam passes through three stationary targets. This Radian Lasers activity can be extended to simulate project-based learning (PBL), a pedagogical approach for applying concepts and skills from…

Due to its emphasis on the integrated nature of what students need to learn, competency-based education is considered as the leading paradigm for innovation and development. Due to meager adaption of technology integration, the education system has been severely affected by COVID-19 pandemic. The aim of this study was to redesign the existing…

During the Fall 2021 semester, the author taught a university-level geometry course into which they incorporated texts and discussions on mathematics and mathematical epistemology from outside of the "Western" tradition typically centered in college math curricula. Analysis of student survey responses and students' reflections on their…

This article shows results on the simulation of partial differential equations such as the heat equation, the Laplace equation and the wave equation in a course called mathematical methods at a university in Bogotá Colombia. In this course, the concept of partial differential equations and different solution methods were explained to them, both in…

Despite the importance and many applications that parametric equations and curves have in mathematics and other sciences, there is a lack of research regarding this topic in mathematics education. The goal of this article is to explore university students' understanding of parametric equations and curves based on two lenses: Action, Process,…

Mathematics tutoring centres exist in varying forms at universities across the United States of America. Despite having similar goals, these centres vary a great deal in their practices, resources, and organizational structures. In this study, the researchers conducted a survey of mathematics tutoring centres in the United States in an effort to…

The purpose of this quantitative research study is to determine through the foundational lens of the temporal motivational theory, if active procrastinators outnumber passive procrastinators, and outperform them on an online mathematics final exam. Conducted at an associate's degree granting institution in the southeastern region of the United…

The present grant funded study by the Office of Research and Sponsored Projects investigated the effects of a chronological multicultural mathematics (CMM) framework on math identity and math achievement of student participants enrolled in two virtual post-secondary developmental math courses (N = 9). The students were selected due to an inability…