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Austin, Joe Dan – Mathematics Teacher, 1982
The unmarked protractor appears to have been ignored in considerations of construction tools other than the standard straightedge and compass. Some geometric problems are presented which are designed to be done using only the unmarked protractor. They are thought to provide challenges to better students. (MP)
Descriptors: Discovery Learning, Geometric Concepts, Geometric Constructions, Geometry
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Austin, Joe Dan – Mathematics Teacher, 1982
The problems involved in making reservations for airline flights is discussed in creating a mathematical model designed to maximize an airline's income. One issue not considered in the model is any public relations problem the airline may have. The model does take into account the issue of denied boarding compensation. (MP)
Descriptors: College Mathematics, Equations (Mathematics), Higher Education, Mathematical Applications
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Austin, Joe Dan – Mathematics Teacher, 1977
The principles of modern genetics are extended to study the extinction probabilities of such genetic diseases as sickle-cell anemia, Tay-Sachs disease, and cystic fibrosis. (JT)
Descriptors: Algebra, College Mathematics, Genetics, Higher Education
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Austin, Joe Dan – Mathematics Teacher, 1976
Analyzing the effects of tilting a probability board can be an effective method of introducing a discussion of models in a probability class. (SD)
Descriptors: College Mathematics, Educational Media, Higher Education, Mathematical Models
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Austin, Joe Dan – Mathematics Teacher, 1980
The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)
Descriptors: Calculus, Mathematical Applications, Mathematics Instruction, Problem Solving
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Austin, Joe Dan – Mathematics Teacher, 1979
Students use a series of isosceles right triangles constructed on a geoboard to discover patterns and form generalizations. (MP)
Descriptors: Algebra, Discovery Learning, Geometry, Instruction
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Austin, Joe Dan – Mathematics Teacher, 1998
Summarizes and extends a well-known geometry theorem that states that any triangle inscribed in a circle with one side of the triangle a diameter of the circle, is a right triangle. (ASK)
Descriptors: Geometric Concepts, Geometry, Mathematical Concepts, Mathematics Instruction
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Austin, Joe Dan; Vollrath, H. J. – Mathematics Teacher, 1989
Describes a way for students to learn to solve linear equations using physical objects (pan balances), diagrams, and symbols. Provides diagrams illustrating the method and five problems. Nine references are listed. (YP)
Descriptors: Algebra, Equations (Mathematics), Mathematical Concepts, Mathematical Formulas
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Austin, Joe Dan; Dunning, F. Barry – Mathematics Teacher, 1988
This article presents some of the optics and mathematics related to what causes a rainbow, why it is brighter inside than out, and why more than one rainbow may appear. (PK)
Descriptors: Calculus, Geometry, Light, Mathematical Applications
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Autrey, Melanie Ann; Austin, Joe Dan – Mathematics Teacher, 1979
An alternate method for factoring quadratic equations is presented as being quicker and easier to use than the trial-and-error method. (MP)
Descriptors: Algebra, Algorithms, Instruction, Secondary Education
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Austin, Joe Dan; Austin, Kathleen Ann – Mathematics Teacher, 1979
The topics of angle construction, angle trisection, and regular polygon construction with only a straightedge and compass are discussed for angles with integer measure. (MP)
Descriptors: Algebra, Geometry, Instruction, Learning Activities
Peer reviewed Peer reviewed
Austin, Joe Dan – Mathematics Teacher, 1978
It is shown that a unit segment can be constructed from a given line segment of length the square root of x if x is a surd. (MP)
Descriptors: Geometric Concepts, Geometry, Mathematics, Number Systems