You are here:

# Mathematics and Computer Education

## 2007 Volume 41, Number 1

Search this issue

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

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

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

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

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

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

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

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

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