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Villalobos, Cristina; Kim, Hyung Won; Huber, Timothy J.; Knobel, Roger; Setayesh, Shaghayegh; Sasidharan, Lekshmi; Galstyan, Anahit; Balogh, Andras – PRIMUS, 2021

Research indicates multi-section coordination improves the academic performance of students in STEM education. This paper describes the process of coordination in Precalculus, Calculus 1, and Calculus 2 courses undertaken by a large department that grew from the merger of two institutions through a pilot program and a project grant. Components…

Descriptors: STEM Education, Calculus, Success, Mathematics Achievement

Shelton, Therese; Laurent, Theresa; Agyemang-Barimah, Beulah – PRIMUS, 2019

We present adaptable activities for models of drug movement in the human body -- pharmacokinetics -- that motivate the learning of ordinary differential equations with an interdisciplinary topic. Specifically, we model aspirin, caffeine, and digoxin. We discuss the pedagogy of guiding students to understand, develop, and analyze models,…

Descriptors: Equations (Mathematics), Active Learning, Calculus, Pharmacology

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

Cherepinsky, Vera – PRIMUS, 2011

Students rarely use their graded exams to study. An alternative method of grading exams, based on self-reflection, encourages students to use their mistakes as a learning resource. In this grading method, the test is returned with each question simply marked as "right" or 'wrong." Students can then go over their exams and resubmit them with…

Descriptors: Majors (Students), Student Evaluation, Student Surveys, Grading

Rash, Agnes M.; Winkel, Brian J. – PRIMUS, 2009

This paper describes details of development of the general birth and death process from which we can extract the Poisson process as a special case. This general process is appropriate for a number of courses and units in courses and can enrich the study of mathematics for students as it touches and uses a diverse set of mathematical topics, e.g.,…

Descriptors: Equations (Mathematics), Probability, Calculus, Mathematics Instruction

Fulton, James P.; Sabatino, Linda – PRIMUS, 2008

During the last two years we have developed a precalculus course customized around biology by using the scientific method as a framework to engage and motivate biology students. Historically, the precalculus and calculus courses required for the Suffolk County Community College biology curriculum were designed using examples from the physical…

Descriptors: Scientific Methodology, Biology, Sciences, Calculus

Lock, Robin H.; Lock, Patti Frazer – PRIMUS, 2008

Bootstrap methods and randomization tests are increasingly being used as alternatives to standard statistical procedures in biology. They also serve as an effective introduction to the key ideas of statistical inference in introductory courses for biology students. We discuss the use of such simulation based procedures in an integrated curriculum…

Descriptors: Integrated Curriculum, Introductory Courses, Biology, Statistical Inference

Marland, Eric; Palmer, Katrina M.; Salinas, Rene A. – PRIMUS, 2008

In this article we provide two detailed examples of how we incorporate biological examples into two mathematics courses: Linear Algebra and Ordinary Differential Equations. We use Leslie matrix models to demonstrate the biological properties of eigenvalues and eigenvectors. For Ordinary Differential Equations, we show how using a logistic growth…

Descriptors: Mathematics Instruction, Biology, Integrated Curriculum, Equations (Mathematics)

Forman, Sean; Forman, Sylvia – PRIMUS, 2008

Games are a useful and fun way to review material in class, and encourage students to actively participate in review sessions. In fact, researchers have concluded that playing games can be an effective learning tool, especially in mathematics, in situations where the goal is to reinforce specific ideas or concepts. Two places this type of…

Descriptors: Games, Calculus, Internet, Mathematics Instruction

Quinn, Terrance J.; Rai, Sanjay – PRIMUS, 2008

The Laplace Transform is an object of fundamental importance in pure and applied mathematics. In addition, it has special pedagogical value in that it can provide a natural and concrete setting for a student to begin thinking about the modern concepts of "operator" and "functional". Most undergraduate textbooks, however, merely define the…

Descriptors: Mathematics Education, Textbooks, Teaching Methods, Mathematical Concepts

Mahavier, William S.; Mahavier, W. Ted – PRIMUS, 2008

The careful use of notation and language in the statement of both the definitions and problems of calculus can begin the process of making students mathematically literate while allowing them to enjoy working on challenging problems and applications without the aid of numerous examples. Engaging the students to participate in the precise use of…

Descriptors: Majors (Students), Language Usage, Exhibits, Calculus

Gordon, Sheldon P. – PRIMUS, 2008

The solutions of the discrete logistic growth model based on a difference equation and the continuous logistic growth model based on a differential equation are compared and contrasted. The investigation is conducted using a dynamic interactive spreadsheet. (Contains 5 figures.)

Descriptors: Calculus, Mathematics Instruction, Calculators, Spreadsheets

Isenhour, Michelle; Kramlich, Gary – PRIMUS, 2008

The following article discusses holistic grading as implemented in a first-year undergraduate calculus course. The intent of this manner of grading is to distinguish both students that truly master the material and those that have not even a limited understanding from the majority of the student body. (Contains 6 figures.)

Descriptors: Grading, Calculus, Higher Education, College Mathematics