Flipped classroom (FC) pedagogical frameworks have recently gained considerable popularity, especially at secondary school levels. However, there are rich opportunities to explore FC at tertiary levels, but progress on the area requires instructors' attention to well-designed tasks for students' collaborative learning. Realistic Mathematics…

This study investigated differences between students' multiplication fact automaticity scores and student competencies on five problems from Intermediate Algebra assessments with a sample of university students. The five types of problems were: (1) linear equations with fractions, (2) system of linear equations, (3) factor by grouping, (4)…

Nationwide, many students fail to complete the key mathematics courses that are required for most STEM majors, including Precalculus. This paper describes the rationale, implementation, and impact of the redesign of Precalculus at one regional west coast institution. Prior to the redesign, pass rates in Precalculus were modest (75.8% of all…

This article looks at an interdisciplinary college movement and mathematics course from the perspectives of one of its co-creators and a mathematics education researcher. It suggests deep, embodied use of choreographic problem solving can form an effective path to mathematics learning through (a) conceptual overlap between mathematics and dance,…

This paper deals with a set of geometrical problems for mathematical problem-solving at different difficulty levels. All of these are presented as national flags and one has to investigate invariant area proportions when changing the locus of any corner of the flag. This dynamic element suggests the usage of dynamical geometry environments.…

Adolescent and children's concepts of multiplication and fractions have been linked to differences in the number of levels of units they coordinate. In this paper, we discuss relationships between adult students' conceptual structures for coordinating units and their pre-calculus understandings. We conducted interviews and calculus readiness…

Prior research showed a gender effect on spatial ability, math anxiety, and math achievement. Lacking, however, is a comprehensive study that tested the mediation effects of spatial ability and math anxiety between gender and math achievement in a sequential mediation model. To fill this gap, this pilot study tested two mediation relationships,…

Team-Based Learning (TBL) is a cooperative learning strategy blending elements of flipped learning, inquiry-based learning, and problem-based learning. Although used quite frequently in other disciplines, use of this strategy in mathematics has been limited. In this article, we describe how TBL can be implemented in math courses with adherence to…

Financial literacy is ideally suited to be integrated into mathematics courses and taught in an interdisciplinary manner. Students learn best and are motivated when tackling real-world meaningful questions. This article shares how elementary mathematics was applied to better understand the debate about raising the minimum wage and the United…

Achieving the Dream (ATD) is one of 12 higher education and digital learning organizations that make up the Every Learner Everywhere (Every Learner) Network, whose mission is to help higher education institutions improve and ensure more equitable student outcomes through advances in digital learning, particularly among poverty-impacted, racially…

This study investigates the associations of spontaneous "dynamic gesture" and "transformational speech" with the production of "deductive proofs" in participants' reasoning about geometric conjectures (N=77). Although statistical analysis showed no significant association, the result suggests that purposefully…

The transition from school to university mathematics is a challenging process for many students. This phenomenon is reflected by high dropout rates from mathematics programs especially during the first year at university that may be related to the development of students' mathematical interest and self-concept. Taking a learning psychological…

This article reports on a reconceptualization of the Precalculus course experience at Florida International University. We discuss the details of the redesign process--unified within a faculty learning community (FLC) model--along with a broader change in the course sequence leading up to Calculus. We provide data, including the comparison between…

Examining linked academic transcripts from urban community colleges and their feeder high schools, we identify math course-taking patterns that span sectors. We highlight stifled mobility and chronic repetition of math coursework in the transition to college, and we identify "math traps" from which students do not escape. Math mobility…

Although there is high enrollment in online college courses, there are concerns about student engagement (Martin & Bolliger, 2018; Dumford & Miller, 2018). Gamification has been shown to have the potential to improve student engagement. The purpose of the study was to describe how academic student engagement is impacted by Nicholson's…