The research this report belongs to aims at exploring the functional reasoning of high-school students from a covariation approach and proposing a framework to describe and predict the student's responses to modeling tasks in Dynamic Geometrical Situations. Items were designed for the students to build/construct the corresponding function guided…

As educators, it is important for us to recognize that our assessment methods affect student attitudes. If we want students to learn from their mistakes and counteract a fixed-mindset of learning, perhaps we should look at what we incentivize in the classroom. Some professors are attempting to counteract math and test anxiety, poor STEM retention,…

This paper shows the results of the epistemological and didactical analysis of the sense of variation of functions. Specifically, on the conceptions of growth and decay in a function that underlie the demonstrations of the theorem that links the sign of "f" with the sense of variation of "f". The epistemological approach…

Improving student success rates in introductory calculus and physics courses is critically important for our students' path in STEM fields. Many of the students who have an intuitive understanding of physics fail calculus and are pushed to delay or drop their majors in technical fields. One way of addressing this issue is by adopting a program…

This paper reports on data obtained during semi-structured interviews with students who had recently experienced a guided inquiry approach to learning ordinary differential equations (ODEs) in a service-taught module. Previous research identified the strengths and weaknesses of similar cohorts of students. The results from that research informed…

This report examines the success of students with lower levels of high school performance who began in transfer-level math as a result of Assembly Bill 705 (Irwin 2017). AB 705 is historic legislation that transformed placement and eventually ended developmental education in California's community colleges. Since community colleges are open access…

The relationships between math anxiety and other variables such as students' motivation and confidence have been extensively studied. The main purpose of the present study was to employ a machine learning approach to provide a deeper understanding of variables associated with math anxiety. Specifically, we applied classification and regression…

Following national trends in both mathematics placement and developmental mathematics coursework progression, this study investigates alternative placement options that remove a developmental mathematics barrier for as many students as possible by providing alternative placement pathways. By allowing students to be placed directly into the…

We investigate aspects of reform enacted in 66 class observations from 18 institutions collected as part of the National Study of University Calculus in the US. We examined four aspects related to how problems were solved in class: the extent of student involvement, the representations and technology used, and specific features of the problems…

Background: Calculus instruction is underexamined as a source of racialized and gendered inequity in higher education, despite research that documents minoritized students' marginalizing experiences in undergraduate mathematics classes. This study fills this research gap by investigating mathematics faculty's perceptions of the significance of…

At the start of the COVID-19 pandemic, the majority of secondary instruction in the United States transitioned to an online environment. In many parts of the country, online schooling continued for upwards of two years. Many experts have hypothesized an "academic slide"--a reduction in student learning--following this period of online…

From 2012 to 2019, the proportion of undergraduate economics degrees denoted as "Econometrics and Quantitative Economics" (STEM-eligible) conferred annually increased from 1 percent to 22 percent. The authors present results from a survey of the 73 institutions conferring at least one STEM-eligible economics degree in 2017 or 2018. They…

Many researchers have stressed the embodied nature of mathematical understanding. Here we explore how embodied knowledge may evolve as students learn a basic calculus concept: the rate of change. We examined undergraduate students with different levels of calculus knowledge working in pairs to model the rate of change in an everyday phenomenon.…

As the demand for qualified science, technology, engineering and mathematics (STEM) and business college-degreed workers increases, underrepresented minorities, females, first-generation college students, and students who are economically disadvantaged remain as four high-risk STEM populations. A majority of undergraduate STEM and business…

In this paper, six interviews with course coordinators from two mathematics departments are analysed to better understand the relationship between course coordination and local data in the Precalculus to Calculus 2 sequence with respect to online grading platforms. We highlight several potential coordinator decisions and present illustrative…