Critical thinking (CT) is an essential competency for global citizens in the 21st century. Few systematic reviews have evaluated and analyzed instructional interventions to enhance CT in mathematics at the university. This study includes 15 studies on cultivating CT among undergraduate students through instructional interventions within the…

Research on developmental education reform has given surprisingly limited attention to what happens inside the classroom between faculty and students. Our qualitative study used interview data from 20 faculty and 20 students in corequisite math and English courses at one of the nation's largest and most racially diverse community college systems.…

In this paper, we investigate leadership related to the instruction of lower division undergraduate courses at five university mathematics departments with strong calculus programs. We use social network analysis to identify patterns of influence on instruction, using the relations: advice seeking, instructional material sharing, discussion of…

The ubiquitous acquisition and generation of data require a reworking of curricula in introductory statistics in tertiary education. We present a renewed curriculum that focuses on scientific thinking, modeling, and simulation-based inference, utilizing R and various R tools such as shiny and learnr apps. We teach statistics from a data-centric…

The purpose of this study was to investigate the gender differences in students' attitude toward mathematics and how attitude impacts achievement in the course. The sample consisted of 172 undergraduate health science students (123 women, 49 men) enrolled in mathematics courses at a University in the Midwestern United States. Data were collected…

Many students worry about taking and succeeding in the gateway math courses needed to enter most community college degree and certificate programs. Their concern is not surprising given that these courses have traditionally had some of the highest failure and withdrawal rates at community colleges, in many cases disproportionally affecting…

This article investigates the implementation of inquiry-oriented instruction in 20 undergraduate mathematics classrooms. In contrast to conventional wisdom that active learning is good for all students, we found gendered performance differences between women and men in the inquiry classes that were not present in a noninquiry comparison sample.…

In this paper we explore the difficulties engineering undergraduates encounter with tertiary mathematics. Results from our survey (N = 71) show that students in our sample face issues mostly related to the challenging nature of university mathematics, the absence of worked examples during lectures and the discontinuity of school and university…

Despite the increasing amount of research on students' quantitative reasoning at the secondary level, research on students' quantitative reasoning at the undergraduate level is scarce. The present study used task-based interviews to examine 16 high-performing undergraduate calculus students' quantitative reasoning in the context of solving three…

Between 2015 and 2018, a university in the Mountain West region of the United States piloted a mathematics intervention supported by the U.S. Department of Education's Strengthening Institutions Program (SIP). Designed to improve outcomes of undergraduates taking Algebra and Pre-Calculus courses, the intervention applied pedagogical and delivery…

The purpose of this study was to help undergraduate STEM students at a Hispanic-serving institution make connections between calculus and physics content and their lives using a utility-value intervention. As part of either a Calculus II or a calculus-based Newtonian Physics course, 471 undergraduate students were randomly assigned to either read…

In this research, the students' achievements in learning Calculus, before and during COVID-19 crisis, are analyzed and compared. Two groups of students, the experimental and the control one, were monitored. Both groups worked in three corresponding subgroups (traditional, hybrid and online) in the frame of different learning environment. The…

The manuscript describes a community-based mathematical modeling task that was implemented in a Calculus I classroom to engage students in mathematical modeling. Twenty-five undergraduate students engaged in this activity. These students selected a context that they found interesting, posed questions, developed constraints, came up with solution…

Research has identified several aspects that influence students' transition to mathematics studies at university, but these aspects have often been studied separately. Our study contributes to the field's understanding of the transition between upper secondary and university mathematics by taking a multifaceted perspective not previously explored.…

In recent decades, there has been rapid development in digital technologies for automated assessment. Through enhanced possibilities in terms of algorithms, grading codes, adaptivity, and feedback, they are suitable for formative assessment. There is a need to develop computer-aided assessment (CAA) tasks that target higher-order mathematical…