We present a detailed description of a Cryptography and Computer Security course that has been offered at Knox College for the last 15 years. While the course is roughly divided into two sections, Cryptology and Computer Security, our emphasis here is on the Cryptology section. The course puts the cryptologic material into its historical context…

We investigated the effects of a major revision of the differential and integral calculus curriculum, the primary goal of which was to improve STEM retention. The revamped curriculum has greater emphasis on the power of computing to help visualize patterns and gain insights to better prepare students for STEM majors, and less emphasis on…

This article reports on a reconceptualization of the Precalculus course experience at Florida International University. We discuss the details of the redesign process--unified within a faculty learning community (FLC) model--along with a broader change in the course sequence leading up to Calculus. We provide data, including the comparison between…

This article presents an experience in teaching mathematical thinking through games in a math course for non-science majors. The course described here has run twice on the campus of Sam Houston State University and is a combination of escape room pedagogy and game-based pedagogy. From these courses, I note an increased engagement of students with…

Motivating students to watch pre-lesson videos to prepare for class is among the most significant challenges cited with flipped learning. We demonstrate boosting student preparation by up to 29% by implementing start-of-lesson quizzes. This is shown through the comparison of a flipped control group without the quizzes to flipped experimental…

Traditional lecturing is the dominant method of teaching mathematics in undergraduate mathematical courses in many countries, whereas active student-centered approaches such as inquiry-based learning have been shown in some instances to be more effective. Most teaching resources (inquiry-based tasks) available at the tertiary level are related to…

The current study evaluated the success of implementing a blended + flipped structure in a Calculus for Life and Management Sciences course. By reimagining two of the three weekly instructional hours as online asynchronous lessons, we redesigned a 200-person section into 30-person sections, with minimal additional instructor resources. Findings…

In this study, we evaluate an innovative method to improve the teaching of linear algebra. The use of peer instruction in conjunction with a seminar strategy and supported by didactic engineering is proposed as a means to facilitate the mastery of abstract concepts, the undertaking of innovative research in problem solving, and the practical…

Teachers and students had an unusual experience in 2020. Due to the outbreak of the COVID-19 pandemic, regular teaching and learning in schools were suspended in many countries. The prolonged school closure presented unprecedented challenges because all teaching and learning activities had to be converted to a fully online format. This article…

Student retention is a priority in universities, as drop-out rates among university students within 12 months of starting continue to rise, according to UK figures released by the Higher Education Statistics Agency (HESA) (https://www.hesa.ac.uk/data-and-analysis/performance-indicators/non-continuation, accessed February 2022), and with…

Preservice elementary teachers tend to have higher mathematics anxiety than other undergraduate majors, which can be mitigated through building self-efficacy. Teacher education programs can address this deficit through methods courses that provide opportunities for preservice teachers to construct mathematical concepts and practice instruction.…

This case study examines how online mathematics homework impacts student learning, attitude, and efficacy in a college Calculus I class. This research is important because it provides data on student perceptions for how to effectively implement online homework. Participants for this study completed homework using a blend of online and paper…

Collaborative assessment techniques are needed to align with shifting approaches to learning that center peer interaction. Furthermore, it is critical to understand how collaborative assessments work for students belonging to historically marginalized groups. This study reports the perspectives of four mixed race and Latina/Hispanic women…

Governmental and educational organizations have pointed out that students coming into the biological sciences require stronger skills in statistics and data modeling that are not usually addressed in typical engineering-based calculus courses. Our work here documents how faculty in biology and mathematics addressed this issue at a large urban…

To address a deteriorating classroom climate at the midpoint of a two-semester course sequence, we employed a novel intervention: reading a research manuscript together with students as an invitation to legitimate peripheral participation in scholarly reflection on teaching and learning. This intervention resolved many student complaints about the…