Mathematical argumentation skills (MAS) are considered an important outcome of mathematics learning, particularly in secondary and tertiary education. As MAS are complex, an effective way of supporting their acquisition may require combining different scaffolds. However, how to combine different scaffolds is a delicate issue, as providing learners…

The notation for vector analysis has a contentious nineteenth century history, with many different notations describing the same or similar concepts competing for use. While the twentieth century has seen a great deal of unification in vector analysis notation, variation still remains. In this paper, the two primary notations used for expressing…

About the year 2000, the Department of Mathematics and Computer Science, Albany State University (ASU), Albany, Georgia, USA envisioned the need to have a comprehensive curriculum revision based on recommendations of the Conference Boards of The Mathematical Sciences, the American Mathematical Society, the Mathematical Association of American, and…

Research under the key word 'secondary-tertiary transition problem' in mathematics education points to a range of difficulties students face when passing from learning mathematics at school to attending undergraduate mathematics courses. One of these problems concerns the change in criteria for what counts as a legitimate mathematical activity.…

This study assessed alternative course delivery for developmental education (DE) math and student outcomes in community colleges in Texas. We examined 2 innovative interventions: (a) study skills courses offered alongside DE math and (b) DE math courses that are shorter than a full semester. Our model leveraged detailed demographic information and…

This study focused on student achievement in remedial math through online and traditional delivery modes at Northwest Mississippi Community College. Student participants were interviewed through a semi-structured interview process to determine perceived influences and challenges that affected success in remedial math courses. The perceived…

In this paper, we report on developments in the Mastery Learning (ML) curriculum and assessment model that has been successfully implemented in a metropolitan university for teaching first-year mathematics. Initial responses to ML were positive; however, we ask whether the nature of the ML tests encourages a focus on shallow learning of…

This paper discusses the result of a statewide research effort in California to improve the accuracy of student placement in math and English in the California Community College system. We apply decision tree methods to high school and college transcript data to identify key measures of high school achievement that predict success in ten levels of…

During communication with a novel individual, nonnative accent can be one of the first factors that determine the course of the conversation. This dissertation aims to understand perceptions toward nonnative accented speakers. We aimed to understand the effect of the targets' accent, background, and race on the perceivers' perceptions. In the…

This report examines the effects of taking math in 12th grade on several academic outcomes, including high school grade point average, A-G course completion, college enrollment, and college persistence. We also investigate whether particular types of math courses (for example, Calculus or Statistics) are especially beneficial for students'…

This report examines the impact of taking a math course in twelfth grade on L.A. Unified students' science, technology, engineering, and math (STEM) college course taking and academic achievement. We also investigate whether particular types of math courses (for example, Calculus or Statistics) are especially beneficial for students' postsecondary…

The flipped classroom is becoming a popular course structure in many academic disciplines, but particularly in STEM disciplines, including mathematics. Considerable research has addressed potential advantages and challenges of teaching a flipped course, as well as examining students' attitudes towards the flipped classroom. Studies on students'…

This article describes part of a study which investigated the role of questions in students' approaches to learning mathematics at the secondary-tertiary interface, focussing on the enculturation of students at the University of Oxford. Use of the Mathematical Assessment Task Hierarchy taxonomy revealed A-level Mathematics and Further Mathematics…

The "Unsolved Problems in Number Theory" book by Richard Guy provides nice problems suitable for a typical math major. We give examples of problems that have worked well in our senior seminar course and some nice results that senior math majors can obtain.

In this paper I discuss the motivation behind using an introduction to Fourier series as a method to unify the topics of integration techniques and series calculations in a Calculus II course.