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Apkarian, Naneh; Kirin, Dana; Gehrtz, Jessica; Vroom, Kristen – PRIMUS, 2021

The Mathematical Association of America's "Precalculus to Calculus: Insights and Innovations Conference" brought together representatives of mathematics departments from across the country with members of two national research projects to share and discuss both research findings and on-the-ground concerns of faculty. In this article, we…

Descriptors: College Mathematics, Undergraduate Study, Mathematics Education, Conferences (Gatherings)

Das, Tushar; George, Whitney; Warnberg, Nathan – PRIMUS, 2020

Mathematics educators view the equals sign as a bidirectional relation symbol, but the authors have observed that students might not have such flexibility in their understanding of the equals sign. The authors have observed that students have a hard time viewing mathematical properties (for example, log (MN) = log (M) log (N)) with bidirectional…

Descriptors: Mathematics Education, Mathematical Concepts, Symbols (Mathematics), College Mathematics

Habre, Samer – PRIMUS, 2020

A growing body of research supports writing as a means to learn mathematics. Although introductory courses have benefited the most from the spread of this mode of learning, writing may be promoted in advanced courses. This paper reports on writing tasks in a complex analysis course where the primary goal was for students to investigate…

Descriptors: Writing Assignments, Mathematics Education, Essays, Foreign Countries

Buell, Catherine A.; Greenstein, Steven; Wilstein, Zahava – PRIMUS, 2017

It is widely accepted in the mathematics education community that pedagogies oriented toward inquiry are aligned with a constructivist theory of learning, and that these pedagogies effectively support students' learning of mathematics. In order to promote such an orientation, we first separate the idea of inquiry from its conception as a…

Descriptors: Inquiry, Active Learning, Mathematics, Mathematics Instruction

Zandieh, Michelle; Wawro, Megan; Rasmussen, Chris – PRIMUS, 2017

In this paper we address practical questions such as: How do symbols appear and evolve in an inquiry-oriented classroom? How can an instructor connect students with traditional notation and vocabulary without undermining their sense of ownership of the material? We tender an example from linear algebra that highlights the roles of the instructor…

Descriptors: Algebra, Mathematics, Mathematics Instruction, Mathematics Education

Rash, Agnes M.; Fillebrown, Sandra – PRIMUS, 2016

This article describes various courses designed to incorporate mathematical proofs into courses for non-math and non-science majors. These courses, nicknamed "math beauty" courses, are designed to discuss one topic in-depth rather than to introduce many topics at a superficial level. A variety of courses, each requiring students to…

Descriptors: Mathematics Curriculum, General Education, Mathematics Instruction, Mathematics Education

Verzosa, Debbie – PRIMUS, 2015

It is now increasingly recognized that mathematics is not a neutral value-free subject. Rather, mathematics can challenge students' taken-for-granted realities and promote action. This article describes two issues, namely deforestation and income inequality. These were specifically chosen because they can be related to a range of calculus concepts…

Descriptors: Calculus, College Mathematics, Undergraduate Study, Social Problems

Stewart, Ann; Storm, Christopher; VonEpps, Lahna – PRIMUS, 2013

The purpose of this paper is to present results of a recent study in which students voted on multiple choice questions in mathematics courses of varying levels. Students used clickers to select the best answer among the choices given; in addition, they were also asked whether they were confident in their answer. In this paper we analyze data…

Descriptors: Multiple Choice Tests, Voting, Classroom Environment, Self Esteem

Royer, Melvin – PRIMUS, 2012

Gabriel's Horn is a solid of revolution commonly featured in calculus textbooks as a counter-intuitive example of a solid having finite volume but infinite surface area. Other examples of solids with surprising geometrical finitude relationships have also appeared in the literature. This article cites several intriguing examples (some of fractal…

Descriptors: Mathematics Education, Textbooks, Scientific Concepts, Calculus

McGee, Daniel, Jr.; Moore-Russo, Deborah; Ebersole, Dennis; Lomen, David O.; Quintero, Maider Marin – PRIMUS, 2012

With the help of the National Science Foundation, the Department of Mathematics at the University of Puerto Rico in Mayaguez has developed a set of manipulatives to help students of science and engineering visualize concepts relating to points, surfaces, curves, contours, and vectors in three dimensions. This article will present the manipulatives…

Descriptors: Foreign Countries, Calculus, Higher Education, Manipulative Materials

Cardetti, Fabiana; McKenna, P. Joseph – PRIMUS, 2012

The purpose of this article is to provide a deeper understanding of the natural rhythm of a typical semester, as observed in students' reflections in journals kept during the semester. Our analysis of students' writings rendered a breakdown of the semester into four distinct periods that were independent of the particular semester or section the…

Descriptors: Higher Education, Anatomy, Calculus, Teaching Methods

Roh, Kyeong Hah; Lee, Yong Hah – PRIMUS, 2011

In this article, we suggest an instructional intervention to help students understand statements involving multiple quantifiers in logical contexts. We analyze students' misinterpretations of multiple quantifiers related to the epsilon-N definition of convergence and point out that they result from a lack of understanding of the significance of…

Descriptors: Intervention, Maya (People), Psychological Patterns, Teaching Methods

Cullinane, Michael J. – PRIMUS, 2011

Many mathematics students have difficulty making the transition from procedurally oriented courses such as calculus to the more conceptually oriented courses in which they subsequently enroll. What are some of the key "stumbling blocks" for students as they attempt to make this transition? How do differences in faculty expectations for students…

Descriptors: Calculus, Mathematics, Mathematics Instruction, Mathematics Education

Lucas, Timothy A.; Spivey, Joseph – PRIMUS, 2011

In the Spring of 2007, a group of highly motivated mathematics graduate students conducted a review of Duke's Calculus curriculum. They focused on two main problems. The first problem is the result of a very positive trend: a growing number of students are earning AP credit for Calculus I in high school. However, this results in Calculus II…

Descriptors: Mathematics Curriculum, Graduate Students, Advanced Placement, Calculus

Habre, Samer – PRIMUS, 2009

The study of Maclaurin and Taylor polynomials entails the comprehension of various new mathematical ideas. Those polynomials are initially discussed at the college level in a calculus class and then again in a course on numerical methods. This article investigates the understanding of these polynomials by students taking a numerical methods class…

Descriptors: Calculus, Foreign Countries, Mathematics Instruction, Equations (Mathematics)