We offer ways that the inspection paradox can be usefully presented, even in the most elementary statistics courses, and provide guidance about how it can be revisited subsequently in the same course and in succeeding courses. Numerous situations in which the inspection paradox might occur are mentioned, and mathematically simple demonstrations…

This paper describes a project assigned in a multivariable calculus course. The project showcases many fundamental concepts studied in a typical course, including the distance formula, equations of lines and planes, intersection of planes, Lagrange multipliers, integrals in both Cartesian and polar coordinates, parametric equations, and arc length.

Mathematics is the language and foundation for the science, engineering, and technological fields that define and enhance our lives in the 21st century. Proficiency in math requires problem solving, logical reasoning, and critical thinking skills that are essential to success in college, the workplace, and everyday life. Unfortunately, math has…

This study scrutinizes the influence of project-based learning (PBL) and inquiry-based learning (IBL) on fourth graders' teamwork skills and critical thinking in math classes. A historical review reveals that while they have positive effects in multiple fields, their sole use in elementary math teaching is yet to be explored. 55 fourth-grade…

This paper presents a semester-long bottle design project for an undergraduate Numerical Analysis course. Students implement numerical methods in MATLAB to design and 3D print a bottle. Employing mathematical methods to compute features of their designs enhances students' understanding of numerical techniques in design applications. Student…

High-impact practices include many options to help increase student learning, and project-based learning (PBL) is one such method. In this study, we look at the effect of PBL activities embedded in the content for introductory level mathematics and statistics courses across a semester. A pre-test and post-test are used to measure student learning,…

The ability to think creatively is the ability to generate new ideas, innovative solutions, and unconventional thoughts in response to a situation or problem. Creative thinking involves many aspects, including imagination, association of ideas, mental flexibility, and views that are different from the usual. Creative thinking needs to be grown in…

Project-based learning (PJBL) emerges as an instructional teaching method promoting collaboration, critical thinking, and problem-solving skills among students. This pedagogical approach facilitates active engagement by forming student groups to collaboratively create and develop projects, thus, encouraging the exploration of diverse perspectives…

High school math projects center on solving real-world examples in a wide variety of situations that require a creative skill set. Creativity in high school mathematics takes place in a subtle form. In contrast, creativity presents itself conspicuously in art. Therefore, this paper will explore the utilization of polynomial equations in drawing…

This study of first year high-school students in South Australia focussed on the effectiveness of using an innovative project-based mathematics strategy to improve the classroom learning environment and the student outcomes of enjoyment, academic efficacy and achievement. As well, we investigated the differential effectiveness of project-based…

This article reports on a multi-method study of a high school course in data science, finding that students who take data science take more mathematics courses than those who do not, there are more under-represented students in data science than is typical for other advanced mathematics courses; that the students who take data science are more…

With this paper, we share an activity for the undergraduate mathematics classroom called "The Harp Project" that leverages the aesthetic nature of both the mathematical and the musical arts. This project was conceived as a STEAM/PBL project with the added feature that it was carried out in pieces by an entire class. Anecdotal evidence…

We believe that developing cultural competencies can help students learn mathematics and conversely that learning mathematical content can help students learn about themselves and others. Using frameworks introduced by Rendón (2009) and Gutiérrez (2018), we present a five-part bundle of activities for undergraduate differential equations course…

Project-based learning (PBL) is increasingly recognised as a transformative alternative to traditional, instructor-centred education, fostering positive student attitudes towards learning. However, public schools in Pakistan largely adhere to conventional teaching methods, contributing to poor mathematics achievement and negative student…

Digital technologies and the instructional contexts in which they are embedded can increase students' access to meaningful learning opportunities. Although there is a tradition of designing and integrating digital tools in secondary-grades project-based science instruction to enhance learners' access to disciplinary learning, the elementary grades…