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Full-Text Articles in Physical Sciences and Mathematics
Transformational Geometry Unit, Elizabeth Ann O'Neill
Transformational Geometry Unit, Elizabeth Ann O'Neill
All Graduate Projects
The study included the development and writing of a unit on transformational geometry which involved a holistic approach including the cognitive, psychomotor, and affective domains. This unit was taught to the eighth grade class in the Oakville School District in Oakville, Washington. The results showed support that the teaching of this unit was effective.
A New Test For Normality, Richard Leroy Roller
A New Test For Normality, Richard Leroy Roller
All Master's Theses
This paper presents a new test for normality which is based on a complete characterization of the normal distribution. Motivation for the test is given in terms of a proof of this characterization. The test is derived and evaluated by computer-simulated sampling from alternative distributions. The empirical powers of the test generated from such samplings are tabled and compared to nine commonly used tests. Evaluation of the proposed test is discussed and further avenues of investigation are suggested.
Orthogonality In Normed Spaces, Martin R. Mccarthy
Orthogonality In Normed Spaces, Martin R. Mccarthy
All Master's Theses
This paper presents three definitions of orthogonality in normed spaces. Each definition is shown equivalent to the inner product being zero when restricted to an inner product space. The definitions arise from such properties in two space as the diagonals of a rectangle being equal and the Pythagorean Theorem. The third definition shows that the idea of an inner product can be generalized under certain conditions.
A Comparative Investigation Of The Effects Of Frequent Testing Upon Achievement In Secondary Advanced Algebra, John Thomas Fullerton
A Comparative Investigation Of The Effects Of Frequent Testing Upon Achievement In Secondary Advanced Algebra, John Thomas Fullerton
All Master's Theses
Relatively speaking, few studies have concerned themselves with the problem of frequent testing, and as Keys pointed out, empirical evidence, uncomplicated by differences in the amount of testing material employed, on the effects of frequent testing is, at best, scarce (14:427). Also many studies used tests and test results for direct instruction, thus introducing additional variables. Furthermore, the choice of subjects and disciplines has been limited, the better part being taken from college psychology and sociology classes or high school science classes. This investigation was not an attempt to modify previous experiments, nor was it an attempt to identify which …
Relationships Between Reversible And Connected Automata, Robert Michael Johnson
Relationships Between Reversible And Connected Automata, Robert Michael Johnson
All Master's Theses
The present investigation explores some of the relationships among special classes of automata defined by Bavel and Muller (1:231-240), Trauth (6:170-175), and Cutlip (2).
An Elementary Mathematics Curriculum Study To Determine If Achievement And Attitude Can Be Influenced By A Textbook Adoption, Elsie M. Railey
An Elementary Mathematics Curriculum Study To Determine If Achievement And Attitude Can Be Influenced By A Textbook Adoption, Elsie M. Railey
All Master's Theses
There is on the market a wide range of contemporary mathematics textbooks available. Textbooks approach mathematics differently and there is a variation in terms of the amount of time allocated to a topic, the development of elementary concepts and laws of arithmetic, and the amount of drill and repetition. The sequential development of the texts follows closely, but the scope and content differ significantly. Specifically, it is the purpose of this study to determine if there is a significant difference between series, as opposed to those in another mathematics series, in the variables of attitude and achievement. The two textbooks …
On The Theory Of Quaternions, Earle David Smith
On The Theory Of Quaternions, Earle David Smith
All Master's Theses
Ordered triplets serve to describe space geometrically just as ordered pairs serve to describe the plane. A multiplication can be defined on pairs consistent with the complex numbers. However, as this paper will show, one cannot define a multiplication on triplets which is consistent with the complex numbers.
On Semigroup Rings, Lawrence Paul Runyan
On Semigroup Rings, Lawrence Paul Runyan
All Master's Theses
Some of the properties of semigroup rings are described, illustrated and proved in this study. In particular, the central problem focuses on how various properties of the semigroup and ring are reflected in the resulting semigroup ring.