How should our students think about external forcing in differential equations setting, and how can we help them gain intuition? To address this question, we share a variety of problems and projects that explore the dynamics of the undamped forced spring-mass system. We provide a sequence of discovery-based exercises that foster physical and…

With this article, we aim to spur a conversation on research implementation in the context of collaborations of mathematics teachers and educational researchers, with a special interest in projects situated in university mathematics education. Implementation has been often discussed in relation to the education of school teachers, and we suggest…

While proof is often presented to mathematics undergraduates as a well-defined mathematical object, the proofs students encounter in different pedagogical contexts may bear salient differences. In this paper we draw on the work of Dawkins and Weber (2017) to explore variations in norms and values underlying a proof across different pedagogical…

In this supplement, the cost to implement and operate the Dana Center Mathematics Pathways (DCMP) program across the participating colleges is presented separated into primary cost categories based on program components describing what portion of spending went to training, teacher time in class, teacher time outside of class, advisement,…

The pedagogical discussion between the merits of traditional learning versus online learning provides much discussion from both camps. Following the Coronavirus of 2019 pandemic in the spring of 2020, undergraduate students enrolled in the freshman Single Variable Calculus course at the United States Military Academy at West Point were forced to…

The instrumental approach is a useful theoretical lens for understanding students' learning processes with a main focus on the transformation of an artefact (a human design for a goal-directed activity) into a meaningful instrument (i.e. an artefact and schemes developed by the student). In this paper, we articulate the instrumental approach for…

As it is already observed by mathematicians and educators, there is a discrepancy between the formal techniques of mathematical logic and the informal techniques of mathematics in regards to proof. We examine some of the reasons behind this discrepancy and to what degree it affects doing, teaching and learning mathematics in college. We also…

In light of rising college student debt, many states now offer multiple options for students to earn college credit while still in high school. Concurrent enrollment programs, which allow qualified high school teachers to teach college credit-bearing classes in the high school, are one such option. Because concurrent enrollment classes teach…

Recently, a new source of data with great potential for use in the mathematics classroom has become available. The smartphones in our pockets are packed with sensors. Most phones have at a minimum global positioning, accelerometer, magnetometer, and gyroscope sensors. We give an example of the collection and analysis of global positioning sensor…

This paper reports on gender and participation in one inquiry-oriented undergraduate mathematics course. While there is evidence that inquiry can better support all learners, especially women, less is known about the distribution of participation in inquiry classrooms. Here, we focus on how men and women participated in both public spaces (in…

Across the nation, community colleges have expanded dual enrollment programs to increase college enrollment and completion, particularly among historically underserved populations. The California Community College system--the largest system in the nation--is no different and recently expanded its dual enrollment programming to include College and…

Placement policies are intended to match students with appropriate courses in order to improve student success, but how do you evaluate these policies? In this article, we evaluate four placement policies at Towson University by considering three categories of outcomes: long-term outcomes such as graduation and retention rates, short-term or…

The California Community Colleges (CCC) began implementation of AB 705 in fall 2018, ensuring that most students started in transfer-level math rather than a developmental education sequence. The RP Group's Multiple Measures Assessment Project (MMAP) has found that for all student groups, dramatically increasing access to transfer-level math…

During the Fall of 2015, faculty and staff at a large community college district with an enrollment of 55,000 in the Southwest United States were encouraged to apply for Innovation Challenge Grants. The goal of these grants was to allow faculty and staff an opportunity to create, innovate, and share ideas, so that the college could strive to be…

History of mathematics courses based on original source materials are becoming increasingly common. However, are they more suitable for particular types of students? Here we compare two such upper-level courses, with a similar structure and using the same textbook, taken by liberal arts students at Colorado College and mathematics specialists at…