We conducted a quantitative analysis to determine how the prerequisite path of students taking calculus I impacts their grade performance. We began by investigating the performance of students that took college algebra and trigonometry versus those that took pre-calculus ahead of their credit-bearing calculus I attempt. We concluded that there was…

The authors describe their approach to teaching a course on finite fields and combinatorial applications, including block designs and error-correcting codes, using a hybrid of lectures and active learning. Under the discussed classroom model, there are two lecture days and two discovery-based discussion days each week. Discussions center around…

Many tertiary institutions with mathematics programmes offer introduction to proof courses to ease mathematics students' transition from primarily calculation-based courses like Calculus and differential equations to proof-centred courses like real analysis and number theory. However, unlike most tertiary mathematics courses, whose mathematical…

The School of Engineering of the Polytechnic of Porto (ISEP) has embraced the DrIVE-MATH project, since September 2017. Active-learning (AL) techniques were implemented in several Math courses, namely Linear Algebra and Analytic Geometry, Probability and Statistics, Statistical Models, Computational Mathematics, and Differential and Integral…

The Evaluating the Quality of Instruction in Post-secondary Mathematics (EQIPM) is a 14-item instrument that uses videos of teaching to investigate the quality of instruction in college algebra courses taught at community colleges. We hypothesize that quality of instruction can be characterized along three distinct factors, the interactions…

A faculty development workshop, focused on incorporating universal learning strategies into developmental mathematics courses, was created and utilized in a developmental mathematics department at an open-enrollment, mid-western university to ascertain the best methods for dissemination of essential learning strategies to developmental math…

We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…

Informed by Gagne's belief in the necessity of prerequisite knowledge for new learning, and Bruner's Spiral Curriculum Theory, the objective of this case study was to explore the postsecondary pathway from remedial mathematics, through one gateway mathematics course, and into the quantitative literacy requirements of various non-STEM programs of…

Corequisite remediation involves placing students who have been designated as underprepared directly into college-level courses with concurrent supports--such as in-class tutoring, online learning labs, or a supplemental class--rather than making them take non-credit-bearing developmental courses first. Despite the growing number of studies on…

In this case study, we use organizational development and change theory to look at how the University of Oklahoma (OU) has attended to the mathematical pathway leading to STEM fields. Using multiple sources of data, we are able to create an informative narrative that provides the particular context of the situation and in-depth picture of the…

Many students must take remedial or developmental mathematics coursework to gain skills and knowledge necessary to satisfy college-level quantitative literacy requirements; however, large numbers of those students struggle to complete such coursework and are consequently unable to graduate. This issue implies the need to reform developmental…

The exponential increase in the number of cases and number of affected countries of the novel coronavirus disease 2019 (COVID-19) brought significant change in the mode of instruction from face-to-face to distance learning among the different levels of education around the world. This descriptive-developmental method of study adopted the ADDIE…

Open-ended questions that can be solved using different strategies help students learn and integrate content, and provide teachers with greater insights into students' unique capabilities and levels of understanding. This article provides a problem that was modified to allow for multiple approaches. Students tended to employ high-powered, complex,…

Students in higher education deserve opportunities to succeed and learning environments which maximize success. Mathematics courses can create a barrier for success for some students. College algebra is a course that serves as a gateway to required courses in many bachelor's degree programs. The content in college algebra should serve to…

Since the mid-20th century, the standard U.S. high school and college math curriculum has been based on two years of algebra and a year of geometry, preparing students to take classes in pre-calculus followed by calculus. Students' math pursuits have been differentiated primarily by how far or how rapidly they proceed along a clearly defined…