Since its founding in 2013, the Kutztown University Association for Women in Mathematics student chapter has built a supportive community of women students and faculty on campus and beyond. This article aims to share our successful experiences with the broader community by presenting our pre- and mid-pandemic AWM activities including Mathematics…

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…

Gabriel's Horn is a solid of revolution commonly featured in calculus textbooks as a counter-intuitive example of a solid having finite volume but infinite surface area. Other examples of solids with surprising geometrical finitude relationships have also appeared in the literature. This article cites several intriguing examples (some of fractal…

With the help of the National Science Foundation, the Department of Mathematics at the University of Puerto Rico in Mayaguez has developed a set of manipulatives to help students of science and engineering visualize concepts relating to points, surfaces, curves, contours, and vectors in three dimensions. This article will present the manipulatives…

The purpose of this article is to provide a deeper understanding of the natural rhythm of a typical semester, as observed in students' reflections in journals kept during the semester. Our analysis of students' writings rendered a breakdown of the semester into four distinct periods that were independent of the particular semester or section the…

The emergence of non-Euclidean geometries in the 19th century rocked the foundations of mathematical knowledge and certainty. The tremors can still be felt in undergraduate mathematics today where encounters with non-Euclidean geometry are novel and often shocking to students. Because of its divergence from ordinary and comfortable notions of…

In Turkey, the content of the geometry course in the Primary School Mathematics Education, which is developed by The Council of Higher Education (YOK), comprises Euclidean and non-Euclidean types of geometry. In this study, primary mathematics teacher candidates compared these two geometries by focusing on Taxicab geometry among non-Euclidean…

The Laplace Transform is an object of fundamental importance in pure and applied mathematics. In addition, it has special pedagogical value in that it can provide a natural and concrete setting for a student to begin thinking about the modern concepts of "operator" and "functional". Most undergraduate textbooks, however, merely define the…

Describes a nine-hour, three-sequence mathematics course in the elementary teacher certification program at Texas Tech University. Emphasizes the development, philosophy, design, and implementation of the sequence. Presents excerpts from the activities and group exercises outlined for the course. Contains 15 references. (Author/ASK)

Describes a research-based analytical framework for motivation, activity, learning, and attribution to exam classroom management issues in student-centered instruction. Reviews research in classroom management for university and college-level classrooms. Describes the research base for the framework. (Contains 88 citations.) (Author/KHR)

Examines the performance of two groups of students in traditionally-taught second semester calculus: students who took reform first semester calculus and students who took traditionally-taught first semester calculus. Identifies and explores the issues that reform students faced as they transitioned into traditionally-taught second semester…

Describes the writing of a new placement test and provides detailed results of a validity study on the test. Concludes that placement testing does not work very well. Suggests that undergraduate mathematics departments consider using existing data rather than giving a separate placement test. (Author/KHR)

Presents experience with creating and teaching a course on mathematics using works of fiction as the primary texts. Describes the goal of the course as giving students an appreciation for the beauty, power, and significance of mathematics. (Author/KHR)

Discusses the teaching preparation program for new mathematics instructors at the U.S. Air Force Academy. The program is structured into a series of five practice lessons, each focused on particular aspects of effective teaching. Summarizes participant feedback from the program. (Author/MM)

Describes a successful course in mathematical biology at Dartmouth College. The course targets premedical students and biology majors rather than mathematics majors, and requires only one semester of calculus as prerequisite. Real world problems form the basis of student work. (Author/KHR)