Online homework systems, which deliver homework assignments to students and provide real-time feedback on their responses, have the potential to increase student learning in college mathematics classes. However, current research on their effectiveness is inconclusive, with some studies showing gains in student achievement, whereas others report…

Colleges attempt to identify students who are underprepared for college-level courses and then place them into developmental courses intended to help them succeed. These courses are usually offered on a non-credit basis and do not count toward graduation. As a result, students enrolled in developmental education can take longer to graduate than…

Colleges attempt to identify students who are underprepared for college-level courses and then place them into developmental courses intended to help them succeed. These courses are usually offered on a non-credit basis and do not count toward graduation. As a result, students enrolled in developmental education can take longer to graduate than…

Colleges attempt to identify students who are underprepared for college-level courses and then place them into developmental courses intended to help them succeed. These courses are usually offered on a non-credit basis and do not count toward graduation. As a result, students enrolled in developmental education can take longer to graduate than…

Written communication and computer programming are foundational components of an undergraduate degree in the mathematical sciences. All lower-division mathematics courses at our institution are paired with computer-based writing, coding, and problem-solving activities. In multivariable calculus we utilize MATLAB and LATEX to have students explore…

Guided pathways increases attention to individual student journeys through California's community colleges, intentionally addressing innovations to optimize student success in completing the students' educational goals. This report primarily concerns placement and success in English pathways, including reading, and mathematics pathways, including…

In the Spring of 2011, two of the authors of this paper taught number theory courses at their respective institutions. Twice during the semester, students in each class submitted proofs of two to three theorems to be peer reviewed by students in the other class. Each student wrote anonymous and formal referee reports of the submitted theorems,…

Quantitative Reasoning for Business is a two-semester sequence that serves as an alternative to elementary and intermediate algebra for first-year business students with weak mathematical preparation. Students who take the sequence have been retained at a higher rate and demonstrated a larger reduction in math anxiety than those who take the…

Several factors have motivated the use of CAS or DGS in the teaching-learning process, such as: the development of new technologies, the availability of computers, and the widespread use of the Internet, among others. Even more, the trend to include CAS and DGS in the curricula of some undergraduate studies has resulted in the instruction of the…

The use of modeling projects serves to integrate, reinforce, and extend student knowledge. Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course content via a writing or research experience. Here we discuss…

We explore mathematics written both by and for women in eighteenth-century Europe, and some of the interesting personalities involved: Maria Agnesi, Emilie du Chatelet, Laura Bassi, Princess Charlotte Ludovica Luisa, John Colson, Francesco Algarotti, and Leonhard Euler himself.

This paper explores the views of a group of students who took an oral performance assessment in a first-year mathematics module. Such assessments are unusual for most subjects in the UK, but particularly within the generally homogenous assessment diet of undergraduate mathematics. The evidence presented here resonates with some, but not all, of…

Concept-focused quiz questions required College Algebra students to write about their understanding. The questions can be viewed in three broad categories: a focus on sense-making, a focus on describing a mathematical object such as a graph or an equation, and a focus on understanding vocabulary. Student responses from 10 classes were analyzed.…

Many of the central ideas in an introductory undergraduate linear algebra course are closely tied to a set of interpretations of the matrix equation Ax = b (A is a matrix, x and b are vectors): linear combination interpretations, systems interpretations, and transformation interpretations. We consider graphic and symbolic representations for each,…

This article presents an informed reflection on the evolution of teacher-to-learner feedback provided on written assignments in first-year university mathematics subjects. The feedback provided addresses not only mathematical accuracy and skills, but also the development of graduate attributes, such as discipline-appropriate written communication.…