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Peer reviewed

Chappell, Kelly K.; Killpatrick, Kendra – Primus, 2003

Investigates the effects of instructional environment on students' conceptual understanding and procedural knowledge of calculus. Uses multiple achievement measures to determine the degree to which students from different instructional environments had mastered the concepts and procedures inherent to first semester calculus. Indicates no…

Descriptors: Calculus, Concept Formation, Educational Change, Higher Education

Peer reviewed

Chappell, Kelly K. – Primus, 2003

Examines the performance of two groups of students in traditionally-taught second semester calculus: students who took reform first semester calculus and students who took traditionally-taught first semester calculus. Identifies and explores the issues that reform students faced as they transitioned into traditionally-taught second semester…

Descriptors: Calculus, Curriculum Development, Educational Change, Higher Education

Peer reviewed

Schlatter, Mark D. – Primus, 2002

Discusses one way of addressing the difficulty of mastering a large number of concepts through the use of ConcepTests; that is, multiple choice questions given in a lecture that test understanding as opposed to calculation. Investigates various types of ConcepTests and the material they can cover. (Author/KHR)

Descriptors: Calculus, Concept Formation, Evaluation, Group Activities

Peer reviewed

Mahavier, W. Ted – Primus, 2002

Describes a two-semester numerical methods course that serves as a research experience for undergraduate students without requiring external funding or the modification of current curriculum. Uses an engineering problem to introduce students to constrained optimization via a variation of the traditional isoperimetric problem of finding the curve…

Descriptors: Calculus, College Mathematics, Computer Uses in Education, Curriculum Design

Peer reviewed

Green, Kris H. – Primus, 2002

Discusses three different writing assignments used in calculus courses. The assignments represent personal, informational, and blended purposes. (Author/MM)

Descriptors: Calculus, Communication (Thought Transfer), Educational Innovation, Educational Strategies

Peer reviewed

Case, Robert – Primus, 2002

Reports on a long-term collaborative effort between Northeastern University and inner-city high schools in Boston which resulted in the wide-spread introduction of reform classes in schools previously lacking calculus. (Author/MM)

Descriptors: Access to Education, Calculus, College School Cooperation, Educational Change

Peer reviewed

Wallace, Dorothy – Primus, 2002

Describes a successful course in mathematical biology at Dartmouth College. The course targets premedical students and biology majors rather than mathematics majors, and requires only one semester of calculus as prerequisite. Real world problems form the basis of student work. (Author/KHR)

Descriptors: Biology, Calculus, Curriculum Design, Higher Education

Peer reviewed

Acosta, Daniel J.; Wills, Randall – Primus, 2002

Outlines ideas and exercises for two topics that accompany the standard treatment of integral calculus. Emphasizes intuition to help facilitate student comprehension of the definite integral as a limit of Riemann Sums. (Author/MM)

Descriptors: Calculus, Higher Education, Mathematics Education

Peer reviewed

Beckmann, Charlene E.; Schlicker, Steven J. – Primus, 1999

Describes a rich, investigative approach to multivariable calculus. Introduces a project in which students construct physical models of surfaces that represent real-life applications of their choice. The models, along with student-selected datasets, serve as vehicles to study most of the concepts of the course from both continuous and discrete…

Descriptors: Calculus, College Mathematics, Higher Education, Mathematical Applications

A Portfolio Problem for Second Semester Reform Calculus: The Gudermannian and the Inverted Pendulum.

Peer reviewed

Biagini-Komas, Rob – Primus, 1999

Alternative forms of evaluation can provide deep and powerful learning experiences for students. Explains how to implement portfolios as an evaluation tool and describes a problem that was successfully implemented in a second semester reform calculus class. (Author/ASK)

Descriptors: Calculus, College Mathematics, Cooperative Learning, Higher Education

Peer reviewed

Mueller, William – Primus, 1999

Common student attitudes toward reform methods are conveyed through the thoughts of a student leaving a multivariable calculus exam and musings range over textbooks, homework, workload, group work, writing, noncomputational problems, instructional problems, instructional styles, and classroom activities. (Author/ASK)

Descriptors: Calculus, Educational Change, Higher Education, Mathematics Education

Peer reviewed

Meier, John; Thorme, Trisha – Primus, 1997

Outlines a pair of projects used in introductory calculus that are inspired by techniques archaeologists use in the analysis of pottery. These real-world application problems appeal to students who are not necessarily interested in the standard application of calculus. (Author/DDR)

Descriptors: Active Learning, Archaeology, Calculus, College Curriculum

Peer reviewed

Boelkins, Matthew R.; Pfaff, Thomas J. – Primus, 1998

Addresses the problem of poor study habits in calculus students and presents techniques to teach students how to study consistently and effectively. Concludes that many students greatly appreciate the added structure, work harder than in previous courses, and witness newfound success as a consequence. (Author/ASK)

Descriptors: Calculus, Higher Education, Learning Strategies, Mathematics Instruction

Peer reviewed

Young, Anne Ludington – Primus, 1996

Error estimates for tangent line approximations and for numerical integration are found using special cases of the error formulas for Taylor's Theorem and the Trapezoidal Rule, respectively. Proofs of these theorems rely on a modification of Rolle's Theorem. (Author/MKR)

Descriptors: Calculus, Concept Formation, Higher Education, Proof (Mathematics)

Peer reviewed

Young, Anne Ludington – Primus, 1997

Describes a Calculus I project in which students discover the formula for the derivative of an exponential function. The project includes two targeted writing assignments and leads to several additional problems. Together these tasks provide a basis for an algebraic approach to the exponential function. (AIM)

Descriptors: Algebra, Calculus, Cooperative Learning, Equations (Mathematics)