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Teachers' Handbook For Using Picture Books To Promote/Reinforce Mathematical Concepts In The Early Primary Grades, Andrea Lynn Bannister Aug 2004

Teachers' Handbook For Using Picture Books To Promote/Reinforce Mathematical Concepts In The Early Primary Grades, Andrea Lynn Bannister

All Master's Theses

The purpose of this paper was to design a handbook for early primary grade teachers interested in using picture books to promote/reinforce mathematics. The handbook includes ten lessons based on the National Council of Teachers of Mathematics Standards, 2000.


Traditional Vs. Individualized Fifth And Sixth Grade Arithmetic Program, Donald Paul Giaudrone Jan 1972

Traditional Vs. Individualized Fifth And Sixth Grade Arithmetic Program, Donald Paul Giaudrone

All Master's Theses

This paper presents a comparative study involving two methods of arithmetic instruction for fifth and sixth grade students. Thirty pupils were taught arithmetic using a traditional approach and thirty pupils were taught arithmetic using an individualized approach. Each group was divided into high, average, and low ability students and between group achievements compared at the end of an eight month period with encouraging results. Evaluation and statistical analysis followed. The findings were discussed and recommendations offered for further study.


A New Test For Normality, Richard Leroy Roller Dec 1971

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 Aug 1971

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 Aug 1971

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 Jul 1971

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 Evaluation Of An Early Introduction Of Algebra I To Junior High School Students On An Extended Basis, Ralph H. Peterson Jul 1971

An Evaluation Of An Early Introduction Of Algebra I To Junior High School Students On An Extended Basis, Ralph H. Peterson

All Master's Theses

The purpose of the study is to evaluate the program of mathematics for eighth grade students that provides for an early introduction to Algebra I. The study will (1) gather evidence needed upon which to base a decision to continue the type of grouping described above, and (2) gather evidence to determine changes in the students' attitudes and interest concerning mathematics in general.


Final Examination Scores In Algebra As A Function Of Retesting, Otto Francis Ruud Jun 1971

Final Examination Scores In Algebra As A Function Of Retesting, Otto Francis Ruud

All Master's Theses

Many teachers as well as students feel that our system of evaluation is far from perfect, but these same people have offered no alternative workable plan which would in whole or in part relieve the objections. Hopefully this study will demonstrate a philosophy of the teaching of mathematics in conjunction with a companion plan of evaluation which will relieve many of the basic objections while at the same time produce more learning. The philosophy that a more cooperative attitude in regard to assignments, testing, and make-up work are more conducive to learning is the basic aspect of this study. It …


The Development And Implementation Of An Auto-Tutorial Approach To Trade Mathematics, Warren Dwight Monroe Jan 1971

The Development And Implementation Of An Auto-Tutorial Approach To Trade Mathematics, Warren Dwight Monroe

All Master's Theses

The problem of this thesis deals with the instruction of trade mathematics. The major problem involves teaching trade mathematics to a heterogeneous group of technical students. The final outcome must be students mathematically competent to function in their chosen technical area. The method of instruction must be flexible enough to allow for individual differences. The mode of instruction must be able to accept the student where he is mathematically and take him to where he needs to go. The procedure used to solve this thesis problem is the auto-tutorial method of instruction. The solution involved the development of performance objectives, …


The Level Of Mathematical Understanding Possessed By Prospective Elementary Teachers, William Dean Vodarski Jul 1970

The Level Of Mathematical Understanding Possessed By Prospective Elementary Teachers, William Dean Vodarski

All Master's Theses

It was the purpose of this study to determine the level of mathematical understanding possessed by prospective elementary teachers graduating from Central Washington State College. It was also the purpose to determine if the measured level of mathematical understanding is related to such factors as sex, education classes completed, mathematics classes completed, and grade level of student teaching.


Cauchy Extensions Of Integrals, Donald Wayne Carlton Jun 1970

Cauchy Extensions Of Integrals, Donald Wayne Carlton

All Master's Theses

This paper presents some ideas on a different approach to the teaching of integral calculus. The method presented here, though simple in nature, requires little alteration when new topics such as probability and series are developed.


A Survey Of Aerospace Education In Grades Nine Through Twelve In The State Of Washington, Judith Ann Isaac Jun 1970

A Survey Of Aerospace Education In Grades Nine Through Twelve In The State Of Washington, Judith Ann Isaac

All Master's Theses

The purposes of this study were: (1) to survey the incidence of aerospace education in grades nine through twelve of Washington State schools, (2) to discover what courses and units include such education in the curriculum, (3) to determine who the teachers are, and the nature of their preparation, (4) to gain a description of what kind of education is attempted under this heading, and (5) to discover what the opportunities are for expanded aerospace education within the schools surveyed.


An Elementary Mathematics Curriculum Study To Determine If Achievement And Attitude Can Be Influenced By A Textbook Adoption, Elsie M. Railey Jan 1970

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 Aug 1969

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.


An Investigation Of Mikusinski’S Operational Calculus, Darwin Chester Hahn Mar 1969

An Investigation Of Mikusinski’S Operational Calculus, Darwin Chester Hahn

All Master's Theses

The purpose of this study was development of a field of Mikusinski operators in calculus.


On Semigroup Rings, Lawrence Paul Runyan Aug 1968

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.