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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

King, Daniel L. – Primus, 2001

Discusses experiences teaching mathematics courses in a lecture-free, discussion-based seminar format at all levels of the traditional undergraduate mathematics curriculum. Presents methods for motivating, instructing, and supporting student efforts toward independent reading of mathematical text. Provides a non-scientific assessment of the…

Descriptors: Calculus, Course Descriptions, Higher Education, Mathematics Education

Peer reviewed

Kenyon, Paula L.; Bardzell, Michael J. – Primus, 2001

Summarizes an interdisciplinary undergraduate research project involving experimental physics and calculus and illustrates how mathematics was used to finesse incomplete experimental information and maximize physical quantity known as jerk. Describes how calculus can be applied in the "real world" where functions are not always given by nice…

Descriptors: Calculus, Higher Education, Integrated Activities, Interdisciplinary Approach

Peer reviewed

Dancis, Jerome – Primus, 2001

Students in a freshmen calculus course should become fluent in modeling physical phenomena represented by integrals, in particular geometric formulas for volumes and arc length and physical formulas for work. Describes how to train students to became fluent in such modeling and derivation of standard integral formulas. Indicates that these lessons…

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

Peer reviewed

Roddick, Cheryl D. – Primus, 2001

Present a study conducted at The Ohio State University and compares students from the calculus-reform course sequence Calculus and Mathematica with traditional students in two areas: (1) conceptual and procedural understanding of calculus; and (2) achievement in calculus-dependent courses. Investigates student achievement in calculus-dependent…

Descriptors: Calculus, Computer Uses in Education, Educational Change, Higher Education

Peer reviewed

Pilzer, Scott – Primus, 2001

Explores a method of teaching called Peer Instruction. Describes how Peer Instruction was implemented in physics and summarizes the results. Discusses the way in which Peer Instruction was modified to be used in an introductory single variable calculus course. (Author/ASK)

Descriptors: Calculus, Higher Education, Mathematics Education, Peer Teaching

Peer reviewed

Kelly, Susan E.; LeDocq, Rebecca Lewin – Primus, 2001

Describes the specific courses in a sequence along with how the writing has been implemented in each course. Provides ideas for how to efficiently handle the additional paper load so students receive the necessary feedback while keeping the grading time reasonable. (Author/ASK)

Descriptors: Calculus, College Mathematics, Content Area Writing, Differential Equations

Peer reviewed

Alexopoulos, John; Barb, Cynthia – Primus, 2001

Presents problems to find the integrals of logarithmic and inverse trigonometric functions early in the calculus sequence by using the Fundamental Theorem of Calculus and the concept of area, and without the use of integration by parts. (Author/ASK)

Descriptors: Calculus, College Mathematics, Functions (Mathematics), Higher Education