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Herman, Gabor T.; Vitanyi, Paul M. B. – American Mathematical Monthly, 1976
Growth functions involved in mathematical models for biological development are discussed using the algebra of polynomials and matrices. (SD)
Descriptors: Algebra, Algorithms, Biology, College Mathematics
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Cieply, Joseph; McCoy, J. Kevin – Mathematics Teacher, 1976
A computer program developed by a high school student approximates the value of "e" by computing partial sums of the defining series. (SD)
Descriptors: Algebra, Computer Oriented Programs, Computer Programs, Mathematics Education
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Hancock, Robert R. – Mathematics Teacher, 1976
Identifying the larger (L), smaller (S) and difference (D) of two real numbers, and then selecting the appropriate relationship between L, D, and S can help students solve algebra word problems. (SD)
Descriptors: Algebra, Algorithms, Curriculum, Instruction
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Albaugh, Henry – School Science and Mathematics, 1979
Results of operations on the Pythagorean formula are interpreted pictorially to yield interesting art forms. (MP)
Descriptors: Algebra, Art Activities, Geometry, Illustrations
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Speck, Royce A. – School Science and Mathematics, 1979
A coordinate system is imposed on a geoboard to form a table that leads to the discovery of the formula n[(n+1)(n+1)] (n+2)/12. Proof is by induction. (MP)
Descriptors: Algebra, Geometric Concepts, Mathematical Formulas, Mathematics
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Ross, Joan – Mathematics Teacher, 1978
The operation of rounding is shown to lead into an investigation of an abstract mathematical system. Properties of the system are discussed and graphs of the rounding function are drawn. Some questions for discussion are given. (MP)
Descriptors: Algebra, Discovery Learning, Graphs, Instruction
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Schattschneider, Doris – American Mathematical Monthly, 1978
The author attempts to provide in compact form information to correct problems related to "frieze groups" and "wall paper groups" and, in addition, provide useful visual references for readers of the literature on the plane symmetry groups. (MN)
Descriptors: Algebra, College Mathematics, Design, Higher Education
Utterback, Allen C. – MATYC Journal, 1977
A method for converting a three-dimensional coordinate system to a two-dimensional coordinate system is explained. (MN)
Descriptors: Algebra, Analytic Geometry, College Mathematics, Geometry
Dudley, Brian A. C. – International Journal of Mathematical Education, 1977
This paper illustrates an approach to the study of dinosaurs through the algebra of sets. Initially, Venn diagrams provide answers to questions, but gradually the diagrams become more involved until answers are sought by means of the algebra of sets. (MN)
Descriptors: Algebra, Biology, College Mathematics, Higher Education
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Stover, Donald W. – Mathematics Teacher, 1978
A different method for solving quadratic equations and inequalities is proposed. The method is applicable to solving quadratics over the set of real numbers as well as the complex field. (JT)
Descriptors: Algebra, Inequalities, Instruction, Mathematics
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Mathematics Teacher, 1977
The topics discussed are, "Helping Students Understand the Distributive Property,""Converting from Base 10: Nonintegral Bases?,""Rapid Mental Squaring of Mixed Numbers," and "Some Nonstandard Binary Operations and their Properties." (JT)
Descriptors: Algebra, Computation, Fractions, Instruction
Burditt, Chris – MATYC Journal, 1978
A question as to the number of stitches needed for a particular triangular crocheted scarf gives rise to the use of several methods of solution including arithmetic series. (MN)
Descriptors: Algebra, College Mathematics, Computation, Higher Education
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Holley, Ann D. – Two-Year College Mathematics Journal, 1978
Formulas are developed which answer installment-buying questions without the use of amortization, sinking funds, or annuity tables. Applications for geometric progressions, proof by induction, solution of exponential equations, and the notion of recursive functions are displayed. (MN)
Descriptors: Algebra, College Mathematics, Economics, Higher Education
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Dundas, Kay – Two-Year College Mathematics Journal, 1977
A class of triangles related to the Pythagorean triangles is described; theorems concerning this class are proved. (SD)
Descriptors: Algebra, College Mathematics, Curriculum, Geometry
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Hosack, John M. – College Mathematics Journal, 1986
Computer algebra systems are described. Features of such systems and information on MACSYMA, Maple, muMath, REDUCE, and SMP are given. (MNS)
Descriptors: Algebra, Calculus, College Mathematics, Computer Oriented Programs
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