We present a multiple case study wherein one institution established new communities of practice supporting graduate student instructors teaching coordinated courses in the presence of minimal existing resources and funding. This was accomplished by partnering with and adapting resources from another institution; one with a well-established…

The University of Tennessee has a Master of Mathematics (M.M.) program for secondary educators interested in college-level teaching. The program includes a capstone course on topics related to college-level teaching and can be thought of as a kind of professional development which allows secondary educators to explore options for their careers.…

The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…

This article describes the authors' experiences developing and implementing an innovative curriculum connecting mathematics and the biological sciences. It describes the original plan, the modifications that were necessary, and some advice to readers who might want to develop comparable programs.

Our university is one campus of the larger, 23-campus California State University system. In 2017, the Chancellor of the system discontinued the developmental mathematics programs at all 23 campuses. This caught us by surprise and compelled us to act quickly. This article gives an overview of our response, highlighting the change our department…

Many colleges and universities recently piloted and adopted the co-requisite model of delivery of developmental mathematics while offering more options for students to fulfill their mathematics requirement. We discuss our process for piloting and ultimately implementing the co-requisite model at our university, provide preliminary data on student…

Lesson study, a popular method of professional development in which instructors collaborate to critique and improve a lesson, can be used for curriculum development. This paper describes an implementation of lesson study that went through two iterations across different, related, contexts: an undergraduate mathematics content course for secondary…

Faced with students failing to complete Calculus 1 at rates of almost 50%, the Department of Mathematics at Western Michigan University addressed the lack of progression of STEM majors through this gateway course and, thus, through their intended majors. In this case study, we describe the four-year process of redesigning our single variable…

The Department of Mathematics and Computer Science at Adelphi University engaged in a year-long program revision of its mathematics major, which was initiated by a longitudinal study and the publication of the 2015 Curriculum Guide by the MAA's Committee on Undergraduate Programs in Mathematics. This paper stands as a short story, so to speak, of…

This article describes the revision of a Business Calculus course at a medium-sized, northwestern university. The purpose of this manuscript is to describe the need for a redesign of the Business Calculus course, conversations among math and business faculty about the course changes, the development of the new course, and the addition of a…

This work outlines a model for creating momentum for active learning at the departmental level through a Community of Practice. This approach focuses on empowering members of the community by providing easy access to active learning tasks, pacing guide, and teaching tips for the course.

As part of a departmental reform project, a large University converted a "Precalculus College Mathematics" lecture-based course for 97 students into an active learning flipped classroom for first-year engineering students. The curriculum was designed specifically to provide applications of pre-calculus in various engineering subjects.…

At the University of Hartford we transformed our approach to Calculus I--moving it away from a lecture-dominant format to one that focuses squarely on students solving problems and discussing and presenting their mathematical ideas for the majority of class time. In this article, we discuss our Flipping Calculus project and how a departmental…

We report on a large-scale implementation of mastery-based grading in a General Education Introductory Statistics course at California State University Los Angeles. In Fall 2018, the course had 80 sections of approximately 30 students each and was taught by 37 instructors who ranged from long-time, experienced instructors to brand new teaching…

This paper describes the development of an instructional sequence designed to allow students to reinvent the definition of sequence convergence in an introductory proof course. The sequence follows a heuristic of guided reinvention that encourages students to independently create their own mathematical definitions. This case study reports on how…