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Mathematics and Computer Education

2007 Volume 41, Number 1

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Table of Contents

Number of articles: 9

  1. Brocard Point and Euler Function

    K R. S. Sastry

    This paper takes a known point from Brocard geometry, a known result from the geometry of the equilateral triangle, and bring in Euler's [empty set] function. It then demonstrates how to obtain new... More

    pp. 6-11

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  2. Shapes of the Graphs of Fourth-Degree Polynomials in Terms of Their Coefficients

    Tatyana Flesher & Eleanor Holder

    One of the main problems in undergraduate research in pure mathematics is that of determining a problem that is, at once, interesting to and capable of solution by a student who has completed only ... More

    pp. 12-16

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  3. Some Cosine Relations and the Regular Heptagon

    Thomas J. Osler & Phongthong Heng

    The ancient Greek mathematicians sought to construct, by use of straight edge and compass only, all regular polygons. They had no difficulty with regular polygons having 3, 4, 5 and 6 sides, but... More

    pp. 17-21

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  4. Primitive Pythagorean Triples: The 3, 4, 5 Connection

    Ronald Skurnick

    The Pythagorean Theorem, arguably one of the best-known results in mathematics, states that a triangle is a right triangle if and only if the sum of the squares of the lengths of two of its sides... More

    pp. 22-24

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  5. Developing Formulas by Skipping Rows in Pascal's Triangle

    Robert J. Buonpastore & Thomas J. Osler

    A table showing the first thirteen rows of Pascal's triangle, where the rows are, as usual numbered from 0 to 12 is presented. The entries in the table are called binomial coefficients. In this... More

    pp. 25-29

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  6. Generalizations of Ptolemy and Brahmagupta Theorems

    Ayoub B. Ayoub

    The Greek astronomer Ptolemy of Alexandria (second century) and the Indian mathematician Brahmagupta (sixth century) each have a significant theorem named after them. Both theorems have to do with ... More

    pp. 30-36

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  7. A Linear Algebraic Approach to Teaching Interpolation

    Tamir Tassa

    A novel approach for teaching interpolation in the introductory course in numerical analysis is presented. The interpolation problem is viewed as a problem in linear algebra, whence the various... More

    pp. 37-45

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  8. Hill Ciphers over Near-Fields

    Mark Farag

    Hill ciphers are linear codes that use as input a "plaintext" vector [p-right arrow above] of size n, which is encrypted with an invertible n x n matrix E to produce a "ciphertext" vector [c-right ... More

    pp. 46-54

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  9. A Capstone Course for Pre-Service Mathematics Teachers Which Uses Technology as Its Unifying Theme

    Aimee J. Ellington

    In 2001, the Conference Board of the Mathematical Sciences (CBMS) published "The Mathematical Education of Teachers" (MET) outlining detailed recommendations for the instruction of future... More

    pp. 55-66

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