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Showing all 13 results
Peer reviewedShilgalis, Thomas W.; Benson, Carol T. – Mathematics Teacher, 2001
Investigates the idea of the center of mass of a polygon and illustrates centroids of polygons. Connects physics, mathematics, and technology to produces results that serve to generalize the notion of centroid to polygons other than triangles. (KHR)
Descriptors: Analytic Geometry, Geometric Concepts, Mathematical Concepts, Mathematics Education
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1998
Presents two problems whose solutions can be enhanced using the Geometer's Sketchpad to solve the problems. Concludes that available computer technology can aid in the analysis and solution of some interesting geometry problems. (ASK)
Descriptors: Computer Software, Educational Technology, Geometry, Mathematics Activities
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1977
Features of one particular kind of map, called a polar stereographic projection, are discussed in detail. (DT)
Descriptors: Geometry, Instruction, Maps, Mathematics Education
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1979
A number of questions are posed that can be answered with the aid of calculus. These include best value problems, best shape problems, problems involving integration, and growth and decay problems. (MP)
Descriptors: Calculus, Instruction, Mathematical Applications, Motivation
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1975
This article shows how two discoverable theorems from elementary calculus can be presented to students in a manner that assists them in making the generalizations themselves. The theorems are the mean value theorems for derivatives and for integrals. A conjecture is suggested by pictures and then refined. (Author/KM)
Descriptors: Calculus, College Mathematics, College Students, Discovery Learning
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1989
Presented is a method for solving certain types of problems, with the goal of piquing students' interest in studying affine geometry, which underlines the method. (MNS)
Descriptors: Geometric Concepts, Mathematics Curriculum, Mathematics Instruction, Problem Solving
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1989
Discusses a calculation method to approximate pi. Describes how to get an approximation to the circumscribed and inscribed perimeters of regular polygons of n sides. Presents the computer program and result of the approximation. (YP)
Descriptors: College Mathematics, Computation, Computer Software, Geometric Concepts
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1982
A program designed in BASIC for the Apple II computer that uses high resolution graphics to display geometric transformations is described. The four distance-preserving transformations included are translations, rotations, reflections, and glide-reflections. Shape-preserving dilations are also covered. (MP)
Descriptors: Computer Programs, Computers, Geometric Concepts, Geometry
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1972
Descriptors: Geometric Concepts, Instruction, Mathematics, Symmetry
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1973
Descriptors: Algebra, Calculus, College Mathematics, Deduction
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1972
Descriptors: Geometry, Mathematics Instruction, Secondary School Mathematics, Transformations (Mathematics)
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1992
Investigates the question concerning the maximum number of lines of symmetry possessed by irregular polygons. Gives examples to illustrate and justify the generalization that the number of lines of symmetry equals the largest proper divisor of the number of sides. Suggests related classroom activities. (MDH)
Descriptors: Discovery Learning, Generalization, Geometric Concepts, Inquiry
Peer reviewedShilgalis, Thomas W. – Mathematics Teacher, 1994
Presents an analysis of the question in the title which involves a discussion of fractions, number theory, and probability through modeling, exploring, and other mathematical connections. (MKR)
Descriptors: Computer Software, Discovery Learning, Fractions, Higher Education


