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Peer reviewed

Ashbacher, Charles – Mathematics and Computer Education, 1991

Described is an experience in assigning mathematics problems that have been purposefully selected from professional journals to assist upper level college mathematics students in developing confidence in their ability to contribute published solutions. Several examples are included. (JJK)

Descriptors: College Mathematics, Computer Assisted Instruction, Higher Education, Mathematical Enrichment

Marrero, Osvaldo; Pasles, Paul C. – Mathematics and Computer Education, 2011

Like many mathematics teachers, the authors often find that students who struggle with a difficult concept may be assisted by the use of a well-chosen graph or other visual representation. While one should not rely solely on such tools, they can suggest possible theorems which then might be proved with the proper rigor. Even when a picture…

Descriptors: Probability, Calculus, Mathematics Instruction, College Mathematics

Peer reviewed

Poiani, Eileen L.; Protomastro, Gerard P. – Mathematics and Computer Education, 1985

The game of craps is analyzed in terms of mathematical expectation. Betting examples are presented and discussed, and a computer simulation program in BASIC is included. (MNS)

Descriptors: College Mathematics, Computer Software, Higher Education, Learning Activities

Peer reviewed

Freeman, Marjorie; Murphy, Michael – Mathematics and Computer Education, 1990

Described are experiences for incorporating writing assignments in mathematics and computer science courses. Reports survey results from students who participated in the courses. (YP)

Descriptors: College Mathematics, Computer Science, Course Content, Higher Education

Peer reviewed

Meyer, Rochelle Wilson – Mathematics and Computer Education, 1991

Four techniques used to incorporate writing and active learning into mathematics classrooms are described. They include summary sheets, short focused writing, medium length writing, and student presentations. Examples of how each technique can be used are included. (KR)

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

Skurnick, Ronald – Mathematics and Computer Education, 2011

This classroom note is presented as a suggested exercise--not to have the class prove or disprove Goldbach's Conjecture, but to stimulate student discussions in the classroom regarding proof, as well as necessary, sufficient, satisfied, and unsatisfied conditions. Goldbach's Conjecture is one of the oldest unsolved problems in the field of number…

Descriptors: Mathematical Formulas, Numbers, Number Concepts, High School Students

Dobbs, David E. – Mathematics and Computer Education, 2005

The author discusses the definition of the ordinary points and the regular singular points of a homogeneous linear ordinary differential equation (ODE). The material of this note can find classroom use as enrichment material in courses on ODEs, in particular, to reinforce the unit on the Existence-Uniqueness Theorem for solutions of initial value…

Descriptors: Calculus, Mathematical Formulas, Mathematics Education, College Mathematics

Ayoub, Ayoub B. – Mathematics and Computer Education, 2007

Each ellipse and hyperbola has a circle associated with it called the director circle. In this article, the author derives the equations of the circle for the ellipse and hyperbola through a different approach. Then the author concentrates on the director circle of the central conic given by the general quadratic equation. The content of this…

Descriptors: Geometric Concepts, Geometry, Equations (Mathematics), Mathematics Education

Ayoub, Ayoub B. – Mathematics and Computer Education, 2007

The Greek astronomer Ptolemy of Alexandria (second century) and the Indian mathematician Brahmagupta (sixth century) each have a significant theorem named after them. Both theorems have to do with cyclic quadrilaterals. Ptolemy's theorem states that: In a cyclic quadrilateral, the product of the diagonals is equal to the sum of the products of two…

Descriptors: Geometric Concepts, Mathematics Instruction, Theories, Mathematics

Peer reviewed

Smith, Charles H.; And Others – Mathematics and Computer Education, 1992

Examines the effects of writing assignments on more than 250 undergraduate students' attitudes and on their classroom performance. The experimental writing group perceived both the subject matter and the course requirements more favorably, and also scored somewhat higher on average for the final examination, though not significantly higher than…

Descriptors: Classroom Techniques, College Mathematics, Content Area Writing, Experimental Groups

Peer reviewed

Maruszewski, Richard F., Jr. – Mathematics and Computer Education, 1987

Timing stoplights and trying to determine the best way to allocate cycle time to the two directions is discussed. The simple case and improving the model are both considered. (MNS)

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

Peer reviewed

Joyner, Virginia G.; Haggard, Paul W. – Mathematics and Computer Education, 1990

Discusses how to express an n factorial as a product of powers of primes. Provides two examples and answers. Presents four related suggestions. (YP)

Descriptors: Algorithms, College Mathematics, Computation, Division

Peer reviewed

Glaister, P. – Mathematics and Computer Education, 1990

Provides a BASIC program to compute the number of shuffles required for packs containing even numbers of cards up to 100. Lists 4 further questions on the shuffling program. (YP)

Descriptors: College Mathematics, Computer Simulation, Computer Software, Computer Uses in Education

Peer reviewed

Kemeny, John G. – Mathematics and Computer Education, 1991

Various ways in which computers can be used in the classroom depending on the subject, students' background, and individual teaching style are discussed. A way to evaluate professional software packages for use in the classroom is included. (KR)

Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Computer Literacy

Peer reviewed

Thrash, Karen R.; Walls, Gary L. – Mathematics and Computer Education, 1991

Presented is an activity where students determine the multiplication tables of groups of small order. How this can be used to help develop an understanding of the concept of group isomorphism is explained. (KR)

Descriptors: Algebra, College Mathematics, Higher Education, Learning Activities

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