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Facility Location Problems.
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Buckley, Fred – College Mathematics Journal, 1987
Mathematical models that are used to solve facility location problems are presented. All involve minimizing some distance function. (MNS)
Descriptors: Algorithms, College Mathematics, Functions (Mathematics), Higher Education
Positioning of Emergency Facilities in an Obstructed Traffic Grid.
Peer reviewed Peer reviewed
Cronk, Jeff; And Others – College Mathematics Journal, 1987
Algorithms to determine the optimal locations of emergency service centers in a given city are presented, with theorems and proofs. (MNS)
Descriptors: Algorithms, College Mathematics, Higher Education, Mathematical Models
Line Fitting Using Only High School Algebra.
Peer reviewed Peer reviewed
Staib, John – Mathematics Teacher, 1982
An approach to using the method of least squares, a scheme for computing the best-fitting line directly from a set of points, is detailed. The material first looks at fitting a numerical value to a set of numbers. This provides tools for solving the line-fitting problem. (MP)
Descriptors: Algebra, Algorithms, Mathematical Applications, Mathematical Models
Dehn's Algorithm and the Complexity of Word Problems.
Peer reviewed Peer reviewed
Book, Ronald V. – American Mathematical Monthly, 1988
The "word problem" is stated for a given collection. Facts regarding Dehn's Algorithm, definition of Thue systems, a rewriting system, lemmas and corollaries are provided. The situation is examined where the monoid presented by a finite Thue system is a group. (DC)
Descriptors: Abstract Reasoning, Algebra, Algorithms, College Mathematics
Low Cost Computer Graphics Simulation of Basic Kinematic Linkages.
Peer reviewed Peer reviewed
Smith, Donald A.; Jacquot, Raymond G. – CoED, 1984
Presents algorithms for the simulation and motion display of the three basic kinematic devices: (1) four bar linkages; (2) the slider crank; and (3) the inverted slider crank mechanisms. The algorithms were implemented on a Commodore-VIC 20 microcomputer system with 6500 bytes of available memory. (Author/JN)
Descriptors: Algorithms, Computer Graphics, Computer Simulation, Computer Software
Technology Tips: Spreadsheets--a Tool for the Mathematics Classroom.
Peer reviewed Peer reviewed
Hunt, William J. – Mathematics Teacher, 1995
Shows how to model Newton's method for approximating roots on a spreadsheet. (MKR)
Descriptors: Algorithms, Computation, Computer Uses in Education, Mathematical Concepts
Using History in Teaching Mathematics.
Peer reviewed Peer reviewed
Katz, Victor J. – For the Learning of Mathematics, 1986
Some concrete examples of the use of historical materials in developing certain topics from precalculus and calculus are presented. Ideas which can be introduced with a reformulated curriculum are discussed in five areas: algorithms, combinatorics, logarithms, trigonometry, and mathematical models. (MNS)
Descriptors: Algorithms, Calculus, College Mathematics, Higher Education
Discrete Mathematics across the Curriculum, K-12. 1991 Yearbook.
Kenney, Margaret J., Ed.; Hirsch, Christian R., Ed. – 1991
This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…
Descriptors: Algorithms, Computer Uses in Education, Elementary Secondary Education, Graphs
Computational Modeling and Mathematics Applied to the Physical Sciences.
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National Academy of Sciences - National Research Council, Washington, DC. – 1984
One aim of this report is to show and emphasize that in the computational approaches to most of today's pressing and challenging scientific and technological problems, the mathematical aspects cannot and should not be considered in isolation. Following an introductory chapter, chapter 2 discusses a number of typical problems leading to…
Descriptors: Algorithms, Biological Sciences, Computer Oriented Programs, Engineering
Understanding, Doing, and Teaching Multiplication.
Lampert, Magdalene – 1985
The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research