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Browsing Mathematics Senior Integrated Projects by Author "Calloway, Jean M., 1923-2019"
Now showing items 1-12 of 12
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A Comparison of Three "New" High School First-Year Algebra Courses
(Kalamazoo College, 1965)It is the intention of this thesis to compare the above-mentioned curricula in the various areas that are covered in the first-year 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
(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
(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 3-Dimension Ordering of the Trinomial Coefficients
(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
(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
(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
(Kalamazoo College, 1964)This paper is an attempt to provide a relatively self-contained 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
(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
(Kalamazoo College, 1964-04-20) -
A Study of Goldbach's Conjecture That Every Even Number Greater Than 4 Can Be Expressed as the Sum of Two Odd Primes
(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
(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
(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 ...
