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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

Peer reviewed

Golding, Tena Long; Gray, Elizabeth D. – Primus, 2002

Describes a mentoring program that was used to train additional faculty to teach a new course in geometry for elementary education majors. (Author/MM)

Descriptors: Geometry, Higher Education, Mathematics Education, Mentors

Peer reviewed

Mower, Pat – Primus, 1996

Presents the findings of a study on the learning experiences of undergraduates enrolled in a writing-intensive algebra course. The study revealed that writing activities are successful in terms of facilitating student comprehension of mathematical content. The use of words allows student writers to gain ownership of the algebraic content. (DDR)

Descriptors: Algebra, Educational Research, Higher Education, Instructional Innovation

Peer reviewed

Shannon, Kathleen M. – PRIMUS, 1991

Recommendations are made for introduction into mathematics undergraduate degree program of a course that focuses on issues relating to the cultural perspective of the discipline and for the allowance of more time and formal analysis about the history and philosophy underlying the topics examined within all mathematics courses. A list of 15…

Descriptors: College Mathematics, Curriculum Development, Curriculum Enrichment, Curriculum Evaluation

Peer reviewed

Haws, LaDawn – Primus, 1992

Hypermedia provides an easy-to-use option for adding visualization, via the computer, to the classroom. Some examples of this medium are presented, including applications in basic linear algebra and calculus, and a tutorial in electromagnetism. (Author)

Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Enrichment Activities

Peer reviewed

Zarzycki, Piotr – Primus, 1992

Presents eight techniques for teaching undergraduate mathematics whose main aims are (1) learning how to pose problems in an easier and more attractive form; (2) fostering usage of mathematical symbolism; and (3) checking the level of comprehension of the principal ideas. Examples illustrate each technique. (Author/MDH)

Descriptors: Competition, Elementary Secondary Education, Enrichment Activities, Higher Education

Peer reviewed

Chinn, Phyllis; And Others – Primus, 1992

Presents examples of questions and answers arising from a hands-on and exploratory approach to discrete mathematics using cuisenaire rods. Combinatorial questions about trains formed of cuisenaire rods provide the setting for discovering numerical patterns by experimentation and organizing the results using induction and successive differences.…

Descriptors: Discovery Learning, Elementary School Teachers, Higher Education, Instructional Materials

Peer reviewed

Rosenthal, Bill – Primus, 1992

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

Descriptors: Calculus, College Mathematics, Discovery Learning, Experiential Learning

Peer reviewed

Gura, Kay – Primus, 1992

Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Cooperative Learning

Peer reviewed

de Alwis, Tilak – Primus, 1992

Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)

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

Peer reviewed

Reiter, Clifford A. – Primus, 1992

Computational environments that provide integrated numeric, symbolic, and graphical capabilities provide new opportunities for laboratories in Numerical Analysis. Hermite interpolation is one topic that can benefit from such an environment. Describes a laboratory session using Mathematica that allows students to actively experience Hermite…

Descriptors: College Mathematics, Computer Assisted Instruction, Discovery Learning, Estimation (Mathematics)

Peer reviewed

Francis, Richard L. – Primus, 1992

Examines infinite sets and cardinality classifications of empty, finite but not empty, and infinite through discussions of numbers that fall into particular categories. Categories discussed include perfect numbers, Mersenne primes, pseudoprimes, and transcendental numbers. Discusses the Null Or Infinite Set Effect (NOISE) and infinitude resulting…

Descriptors: College Mathematics, Higher Education, Learning Activities, Mathematical Concepts

Peer reviewed

Bremigan, Ralph; Lorch, John – Primus, 2001

Describes the current practice of the senior seminar at Ball State University and reflects on how the seminar has benefited both faculty and student participants. (Author/MM)

Descriptors: Higher Education, Mathematics Education, Seminars, Student Projects

Peer reviewed

Putz, John F.; Morjan, Carrie – Primus, 2001

Describes a student/faculty research project as one example in an area that appears to offer other opportunities for undergraduate research. Investigates whether people tend to prefer the rectangular shape known as the golden rectangle to other rectangular shapes. (Author/MM)

Descriptors: Cooperation, Geometric Concepts, 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

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