Browsing Mathematics Senior Integrated Projects by Author "Calloway, Jean M., 19232019"
Now showing items 112 of 12

A Comparison of Three "New" High School FirstYear Algebra Courses
Strong, Helen Caroline (Kalamazoo College, 1965)It is the intention of this thesis to compare the abovementioned curricula in the various areas that are covered in the firstyear algebra course. It shall also be shown how these new methods are superior to the ... 
A Comparison of Two "New Math" Geometry Texts and the Historical Development of their Foundations
Scribner, Charles William (Kalamazoo College, 1967)The two "new math" texts which I am comparing in this paper are, The School Mathematics study Group (SMSG) high school geometry text, and the Ball State geometry text. I should qualify the use of "comparing", for I am ... 
The Experimental Works of Jean Piaget and a Discussion of Their Educational Implications
Mead, Elizabeth A. (Kalamazoo College, 1965)The first part of this paper is a rather lengthy and detailed summary of the experimental works of Piaget in the areas of number and geometry. I had a number of reasons for making the summary so detailed. Unfortunately, ... 
Exploring the PASCAL Pyramid: A Study of Some of the Properties in a 3Dimension Ordering of the Trinomial Coefficients
Krueger, John (Kalamazoo College, 1988)The purpose of this paper is to introduce the Pascal Pyramid and present some of its basic properties and its structure, as well as a few of its more interesting problems. This work is the result of journal searching and ... 
An Exposition of Hadamard Matrices
Tornga, J. Edward (Kalamazoo College, 1964)The purpose and aim of this paper will be to acquaint the reader with the development of these matrices and the methods used to determine their existence. The beginning section will consist of definitions which are intended ... 
A History of Some Polynomial Equations
Archer, Ruth (Kalamazoo College, 1965)This paper is an historical tracing of the beginnings of certain mathematical ideas through Greek, Indian, Muslim, Italian, and finally modern European mathematics. Not in the least sense is part of mathematics studied ... 
An Introduction to the Mathematical Theory of Linear Programming
Priebe, Wolfgang H. (Kalamazoo College, 1964)This paper is an attempt to provide a relatively selfcontained and basic mathematical justification for the LP problem and the simplex method of solving it. The first two parts of the paper outline the aspects of the ... 
Mathematical Proportions in Modern Architecture
Filkin, David L. (Kalamazoo College, 1965)This thesis combines the history of symmetry and proportion with a practical application of each to modern architecture. This application of knowledge and skills gained through research was introduced in the hope that ... 
Odd Perfect Numbers
Hightower, William Lee (Kalamazoo College, 19640420) 
A Study of Goldbach's Conjecture That Every Even Number Greater Than 4 Can Be Expressed as the Sum of Two Odd Primes
Nagy, Ecaterina (Kalamazoo College, 1987)One of the most famous unsolved problems in number theory is Goldbach's conjecture that every even number greater than 4 can be expressed as the sum of two odd Primes. At first this seems to be a very simple problem; ... 
A Study of the Differences between Consecutive Prime Numbers
Heath, David C. (Kalamazoo College, 1964)This paper will present heuristic arguments concerning the distribution of prime numbers and the spacings between consecutive primes. So that the reader will be familiar with some of the background material for this ... 
A Study of the nersenne Numbers
Wright, Gary John (Kalamazoo College, 1967)The purpose of this paper is, as the title suggests, to study the Mersenne numbers. This topic was chosen for, to my knowledge, there exist few papers which deal exclusively with the Mersenne numbers. Rather, there exist ...