In this paper, we investigate mathematics majors' perceptions of the admissibility of inferences based on graphical reasoning for calculus proofs. The main findings from our study is that the majority of mathematics majors did not think that graphical perceptual inferences (i.e., inferences based on the appearance of the graph) were permissible in…

The article is dedicated to solving extrema problems in teaching mathematics, without using calculus. We present and discuss a wide variety of mathematical extrema tasks where the extrema are obtained and find their solutions without resorting to differential. Particular attention is paid to the role of arithmetic and geometric means inequality in…

Numerical simulations are playing an increasingly important role in modern science. In this work it is suggested to use a numerical study of the famous perihelion motion of the planet Mercury (one of the prime observables supporting Einsteins general relativity) as a test case to teach numerical simulations to high school students. The paper…

In this paper, we present the results of a study indicating that groups predominantly underrepresented in mathematics prefer to have a choice of instructional method. We use the concept of differentiated instruction to explain how different groups of students might perform better using various instructional techniques. Our study, which is based on…

Many students have difficulty performing well in Calculus 1. Since Calculus 1 is often the first math course that people take in college, these difficulties can set a precedent of failure for these students. Using tools from data mining and interviews with Precalculus and Calculus 1 students, this work seeks to identify the different types of…

Assessments are usually thought of as ways for instructors to get information from students. In this work, we flip this perspective and explore how assessments communicate information to students. Specifically, we consider how assessments may provide information about what faculty and/or researchers think it means to know and do physics, i.e.,…

This study examined the influence of the jigsaw co-operative learning strategy integrated with GeoGebra (JCLGS), on Ethiopian undergraduate statistics and chemistry learners' conceptual knowledge development and attitudinal change towards calculus. The post-positivism quantitative methods approach employed in a non-equivalent pre-and post-test…

Open educational resources (OER), which are free and openly licensed educational materials, have been a widely discussed topic in response to high textbook costs, the need for more pedagogical flexibility, and inequality in access to educational materials. In this study we examine the efficacy of OER through a quantitative analysis of the impact…

We study the case of Marya, a freshman engineering major who showed and spoke of a drastic shift in her feelings and approach to learning physics during an introductory course. For the first several weeks, she was anxiously manipulating equations without considering physical meaning, and she was terribly worried about being correct. By the end of…

A common challenge among mathematics professors is to structure a course so that students are motivated to complete enough work to master the material without creating an unmanageable grading workload. We will discuss a strategy that the author devised to successfully confront this challenge (after many other failed attempts): using online surveys…

Few college students wanting to major in an engineering discipline who begin in precalculus actually complete an undergraduate engineering degree program. One reason for this is students struggle through calculus I and II, known barrier courses for engineering majors. This research utilizes frameworks of future time perspective (FTP) and…

The growth of computer technology into industry, marketing, engineering, and science forces the education sector to focus on training the students with the most advanced technology and prepare them for the technological workplace. The STEM (Science, Technology, Engineering, and Mathematics) students graduating from universities are required to…

This paper is written to provide ideas and guide faculty who want to design a mathematical modeling course for undergraduate mathematics majors and minors. We discuss course goals, assignments, and projects that can be used to help students gain experience relevant for careers and mathematical modeling opportunities. The authors designed this…

This paper presents a research framework for investigating the role of language use in mathematics learning. The paper draws on the wider M[superscript 2]EID study, which explores whether differences in languages (English and Irish) and their use by bilingual mathematical students have a differential impact on their mathematics meta-level…

The COVID-19 pandemic required that virtually all in-person instruction move suddenly to an online format. Given the unprecedented nature of this disruption, the California Community Colleges (CCC) issued an emergency regulation allowing all students to drop spring 2020 courses without incurring a withdrawal or "W" notation on their…