Games have shown to be great tools for learning a variety of topics, but few games have been developed mathematics topics at the undergraduate level. One possible avenue is to pursue digital game-based learning. The game "Vector Unknown" was designed from a task from the Inquiry-Oriented Linear Algebra (IOLA) curriculum to connect…

Previous studies have shown that students who have completed differential and integral calculus often accept and employ empirical arguments as proofs, but this is not the case for students who have had at least one upper-level proof course; these students tend toward the use of deductive proofs. This paper finds that a majority of the students…

Assessment and feedback is an area where mathematical sciences departments have invested significant effort in recent times. Particular challenges have been identified relating to timely and detailed feedback, both of which are important given the widespread use of formative, and typically weekly, problem sheet assessments to aid and structure the…

Supporting student success in introductory mathematics courses is a growing national imperative in order to both diversify and increase the number of well-prepared Science, Technology, Engineering, and Mathematics (STEM) graduates. Efforts to diversify STEM fields have focused on broadening participation, addressing equitable outcomes, and…

What if your students could access "any" resource during a test? How would they react? How would "you" react? This paper presents some results from a trial of allowing students access to notes, calculators, and any device connected to the internet, which occurred during a midterm in a second-year ordinary differential equations…

In 2011, Sonoma State University developed a STEM first-year experience (supported by NSF STEP grant 1068445) that combines general education requirements in mathematics, biology, and critical thinking. The mathematics content includes topics from precalculus and elementary statistics, with a particular focus on using functions and modeling with…

Past research has shown the benefit of cooperative learning in organizing instruction to promote students' engagement and achievement. However, it remains unclear whether students gain more from peers at relatively higher or similar levels of prior knowledge. Relatedly, it is important to distinguish collective performance from individual…

The purpose of this phenomenological study was to explore the adult students' perceptions of Game-Based Learning's mitigation of math anxiety in a STEM math course at a mid-sized university in Southeast Texas. The participants in this study included 11 students who identified as adult learners with math anxiety taught by the researcher in a STEM…

In this study, it was aimed to experiment a new method to increase the quality of the history of mathematics course instruction in the primary mathematics education. The method composed by synthesizing project-based and collaborative learning methods was named "Newspaper Preparation Method," and the course was delivered using this…

Mastery-based testing is an assessment scheme that challenges students to provide complete solutions to problems derived from clear course concepts. Students are allowed multiple attempts to demonstrate mastery, which helps create a classroom environment where students value persistence toward thorough understanding. In this paper, we describe in…

In this work we critically examine a mnemonic designed for the pedagogy of first-order ordinary differential equations. The particular mnemonic takes the form of the SHIELDS acronym. We perform a critical analysis on mnemonics, outlining some of their benefits and limitations from the literature. As a result, we propose a general mnemonic model…

This study examined the genre of undergraduate mathematical proof writing by asking mathematicians and undergraduate students to read 7 partial proofs and identify and discuss uses of mathematical language that were out of the ordinary with respect to what they considered conventional mathematical proof writing. Three main themes emerged: First,…

We describe the use of student-generated video content to assess students' engagement with, and understanding of, problem-solving skills. In this framework, students are tasked with using technology to create videos that show them working through, and explaining solutions to, challenging calculus exercises. The videos are then posted online,…

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…

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…