Papers by Joseph Malkevitch
Discrete mathematics and public perceptions of mathematics
Discrete Mathematics in the Schools, 2000
Cycle lengths in polytopal graphs
Lecture Notes in Mathematics, 1978
ABSTRACT
Humanistic Mathematics Network Journal, 1997
Geometrical and combinatorial questions about fullerenes
Discrete Mathematical Chemistry, 2000
ABSTRACT
Patenting Mathematics?
Math Horizons, 1995
Mathematical vistas : papers from the Mathematics Section
Graphs, Models and Finite Mathematics
The American Mathematical Monthly, 1985
Mathematics and Art: Connecting Mathematicians and Artists
Handbook of the Mathematics of the Arts and Sciences, 2021
The Mathematics Teacher, 1991
Many recent ideas in mathematics are affecting the average person's life on almost a daily ba... more Many recent ideas in mathematics are affecting the average person's life on almost a daily basis. The purpose of this article is to show how ideas, born of questions in operations research (the branch of mathematics designed to help businesses and governments operate more efficiently) can be taught at various levels K-12 in a manner that implements some of the recommendations made in the NCTM's Curriculum and Evaluation Standards for School Mathematics (Standards) (1989). For example, the problem we solve illustrates mathematical modeling, multistep problem solving, and the design of algorithms. Although the binpacking problem to be discussed involves simple ideas, the proofs of some of the results in this area are far from simple. The problem to be discussed has a variety of current, easy-to-follow applications.
On the lengths of cycles in planar graphs
Lecture Notes in Mathematics, 1971
Without Abstract
Proceedings of the International Conference (3rd) on Combinatorial Mathematics Held in New York on 10-14 June 1985. (Annals of the New York Academy of Sciences. Volume 555)
Abstract : This volume collects the papers and problems from the Third International Conference o... more Abstract : This volume collects the papers and problems from the Third International Conference on Combinatorial Mathematics held at the Barbizon Plaza Hotel in New York City under the auspices of the New York Academy of Sciences from June 10 through June 14, 1985. These papers explore aspects of such topics as structural graph theory, extremal set theory, Ramsey theory, combinatorial group theory, random graphs, matroids, finite geometries, game theory block designs, coding theory, polyhedral combinatorics, irregularities of distribution, and combinatorial number theory, to name a few, as well as a healthy dose of the increasingly important algorithmic aspects of these various subjects.
Modeling for Introducing Students to New Tools
Werner Blum und seine Beiträge zum Modellieren im Mathematikunterricht, 2015
Traditional approaches to mathematical modeling involve starting with a real world situation and ... more Traditional approaches to mathematical modeling involve starting with a real world situation and seeing what mathematics it leads to or starting with a kind of mathematical tool (e.g. Markov chain) and examining where this tool finds use. Here a middle ground is suggested. The value of looking at modeling as a way of promoting a variety of themes (optimization, fairness, etc.) rather than techniques (using equations, using statistics, etc.) is explored. Dedicated to Werner Blum in honor of his 70th birthday, with thanks for all he has done to promote mathematical modeling.
Geometry: Past and Future
New ICMI Study Series, 1998
ABSTRACT Since ancient times geometry has grown in both breadth and depth. Branches of geometry n... more ABSTRACT Since ancient times geometry has grown in both breadth and depth. Branches of geometry now exist which were not even conceived 75 years ago. This tremendous growth in geometry has created a tension for educators interested in the subject. There was no lack of topics competing for attention in the classroom at all levels 75 years ago. Now there are even more topic choices, new modes of teaching, and new technologies with which to deliver both new and old ideas alike.
On the lengths of cycles in planar graphs
Without Abstract
Shapes in the Plane: Tilings and Patterns . Branko Grünbaum and G. C. Shephard. Freeman, New York, 1986. xii, 700 pp., illus. $59.95
Science, 1987
A Note on Fullerenes
Fullerene Science and Technology, 1994
ABSTRACT
Annals of the New York Academy of Sciences, 1990
Annals of the New York Academy of Sciences, 1989
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Papers by Joseph Malkevitch