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25 results on '"Marion, Charles F."'

4. The Coffee-Milk Mixture Problem Revisited

Author

Marion, Charles F.

Abstract

This analysis of a problem that is frequently posed at professional development workshops, in print, and on the Web--the coffee-milk mixture riddle--illustrates the timeless advice of George Pólya's masterpiece on problem solving in mathematics, "How to Solve It." In his book, Pólya recommends that problems previously solved and put aside should be revisited in order to consolidate a student's knowledge and develop the ability to solve problems. This article describes how revisiting a problem created new questions and provided insight into examining a solution in multiple ways.

Published
2015

17. Pythagoras' Theorem: A Special Case.

Author

Marion, Charles F.

Subjects
PYTHAGOREAN theorem, GEOMETRY problems & exercises, MATHEMATICS education (Secondary), HIGH school students, PYTHAGOREAN triples, PLANE geometry
Abstract

The article shows that Pythagoras' Theorem is a special case of a more wide-ranging result that is well within the grasp of most high school students. It introduces Pythagorean k-Triples, a generalization of Pythagorean Triples, that are also worthy of study from different vantage points. Also presented are many formulations of Phythagoras' Theorem.

Published
2011

18. Consecutive Integer Equations That Partition the Positive Integers.

Author

Marion, Charles F.

Subjects
EQUATIONS, ALGEBRA, MATHEMATICS, SEQUENTIAL analysis, PARTITIONS (Mathematics)
Abstract

The article provides information on successive integer equations that partition the positive integers. It says that the positive integers make appearances in the equations that occur sequentially. According to the author, there are many patterns worthy of investigation. The other sequences of equations that can be used to motivate similar investigations are also discussed.

Published
2011

19. Beyond 1 + 2 = 3 and 32 + 42 = 52.

Author

Marion, Charles F.

Subjects
*MATHEMATICS education (Elementary), *EQUATIONS, *FERMAT'S last theorem, *ALGEBRAIC functions, *QUARTIC equations, *MATHEMATICAL analysis
Abstract

The article examines two of the most widely recognized equations in elementary mathematics which are 1 + 2 = 3 and the 32 + 42 = 52. It provides detailed discussion concerning Fermat's last theorem, the integers in the mentioned equation, algebraic generalizations and the quartic pattern. Moreover, it also discusses solutions to the mathematical problems as well as several figures depicting the solution process.

Published
2011
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20. Anti-Pythagorean Triples.

Author

Marion, Charles F.

Subjects
LESSON planning, ACTIVITY programs in education, PYTHAGOREAN theorem, CREATIVE teaching, EDUCATION
Abstract

The article presents a lesson plan which teaches students left anti-Pythagorean triple (LAPT), right anti-Pythagorean triple (RAPT), isosceles Pythagorean versus isosceles anti-Pythagorean, and similar Pythagorean versus similar anti-Pythagorean.

Published
2010

21. What Comes After 3² + 4² + 5²?

Author

Marion, Charles F.

Subjects
PYTHAGOREAN theorem, EQUATIONS, MATHEMATICS, ALGEBRA, NUMERICAL analysis
Abstract

The article discusses the application of Pythagorean equations to integers, including the identities and sequences of equations.

Published
2010

22. Readers report.

Author

Buss, James A., Carazo, Rodrigo, Stickel, David W., Alexander, Michael J., Marion, Charles F., Lindholm, Richard W., Su, S. T., Cleaveland, Peter E., and Black, James J.

Subjects
LETTERS to the editor, SOVIET Union economy, 1975-1985, COSTA Rican politics & government, 1948-1986, REGULATORY reform
Abstract

Several letters to the editor are presented in response to articles in previous issues including "Soviet Union: A new Kremlin goal: Conserving resources," which appeared in the March 9, 1981, "Why democracy is tottering in Costa Rica," which appeared in the February 23, 1981 issue and "Deregulation: A fast start for the Reagan strategy," which appeared in the March 9, 1981 issue.

Published
1981

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