Master of Science in Education (major in :Mathematics)
Course Requirements
UNITS | |||
---|---|---|---|
Core Courses | 12 | ||
Major Courses | 18 | ||
Cognate/Elective Courses | 6 | ||
Required Subjects | 3 | ||
Thesis | 6 | ||
TOTAL
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45
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Program Structure
UNITS
Core Courses
OU ED 701
STATISTICS
3
OU ED 702
METHODS OF RESEARCH
3
OU ED 707
SCHOOL ADMINISTRATION
3
OU ED 710
EDUCATIONAL THEORIES AND STRATEGIES
3
Major Courses
OU MATH 705
SET THEORY AND LOGIC
3
OU MATH 706
NUMBER THEORY
3
OU MATH 707
LINEAR ALGEBRA AND MATRIX THEORY
3
OU MATH 708
ABSTRACT ALGEBRA
3
OU MATH 709
MATH ANALYSIS
3
OU MATH 710
REGRESSION AND CORRELATION ANALYSIS
3
Cognate/Elective Courses
OU ED 720
PSYCHOLOGY OF LEARNING
3
OU ED 755
POLICIES AND ISSUES IN EDUCATIONAL MANAGEMENT
3
OU MATH 711
PROBABILITY THEORY
3
OU MATH 712
DIFFERENTIAL EQUATIONS
3
OU MATH 798
SPECIAL PROBLEM IN MATHEMATICS
3
|
Course Description
OU ED 701
STATISTICS
Different theories and methodologies in statistical analyses that are commonly used in education. It includes sampling, measures of central tendency and variability, probability, distribution, test of hypothesis, simple correlation and simple regression analyses, analysis of variance, chi-square analysis and other non-parametric statistics.
Pre-requisite : N/A
Unit: 3
OU ED 702
METHODS OF RESEARCH
Adaptation of research methods and techniques to problems in mathematics education with special emphasis on appropriate methods in the preparation of special problems.
Unit: 3
OU ED 707
SCHOOL ADMINISTRATION
Principles and approaches in problem solving and decision making; familiarization with new management concepts and trends and in-depth discussion of specific problems and issues to clarify/illustrate concepts covered.
Unit: 3
OU ED 710
EDUCATIONAL THEORIES AND STRATEGIES
Review of theoretical and empirical literature on the application of psychological models to formal and non-formal education practices.
Unit: 3
OU ED 720
PSYCHOLOGY OF LEARNING
Learning and cognitive development theories of human development and learning; reinforcement, motivation, modeling memory, transfer of learning and individual differences; application of learning theories to instruction and researches to educational practice.
Pre-requisite : N/A
Unit: 3
OU ED 755
POLICIES AND ISSUES IN EDUCATIONAL MANAGEMENT
Analysis and synthesis of educational policies with particular emphasis on the process involved in policy formulation, implementation and evolution.
Unit: 3
OU MATH 705
SET THEORY AND LOGIC
Rudiments of pure mathematics. Logic gives the language and the rules upon which correct reasoning is based. It develops the learner’s ability to verify the correctness of arguments. On the other hand, set theory acts as a basic tool for all other branches of Mathematics. It is in itself a complex mathematical network. In Set Theory, the learner gets to apply the skills that they had learned in logic as they verify theorems. Topics include fundamentals of logic, arguments, quantification, methods of proof, algebra of sets, relations, and functions.
Pre-requisite : N/A
Unit: 3
OU MATH 706
NUMBER THEORY
The theory of number is concerned, at least its elementary aspect, with the properties of integers, more particularly with positive integers. It gives simple account of classical number theory such as Divisibility Theory, Diophantine Equation, Primes and their Distribution, Theory of Congruence. Fermat’s Theorem, Continued Fractions, some Number Theoretic Functions, and Primitive Roots and Indices. Also, it imparts some historical background in which the subject evolves. Thus, the integral of this course requires the student’s active participation, for nobody can learn number theory without solving problems. The computational problems develop basic techniques and test understanding of concepts, while those of theoretical in nature give practice in constructing proofs.
Pre-requisite : N/A
Unit: 3
OU MATH 707
LINEAR ALGEBRA AND MATRIX THEORY
Study of vector spaces and subspaces, linear dependence, linear transformations and matrices, eigenvalues and eigenvectors, diagonalization and similarity transformation.
Pre-requisite : N/A
Unit: 3
OU MATH 708
ABSTRACT ALGEBRA
Operations, their properties, and the structures that support them such as groups, subgroups, cyclic groups, permutation groups, abelian groups, homomorphism, isomorphisms, complex numbers, finite groups, integral domains, fields and polynomial extensions of fields.
Pre-requisite : N/A
Unit: 3
OU MATH 709
MATH ANALYSIS
Elementary and transcendental functions and their properties, limits, derivatives and integrals are covered. Topics include sequences, infinite series and power series, functions of several variables, partial differentiation and multiple integrals.
Pre-requisite : N/A
Unit: 3
OU MATH 710
REGRESSION AND CORRELATION ANALYSIS
An in-depth study of the relationships of random variables using the simple, partial and multiple correlation analyses and simple linear, multiple and non-linear regression analyses.
Pre-requisite : N/A
Unit: 3
OU MATH 711
PROBABILITY THEORY
Discussion of counting techniques, probability and probability distribution of random variables and its properties, discrete probability models, continuous probability models, joint and conditional distributions, sampling and sampling distributions.
Unit: 3
OU MATH 712
DIFFERENTIAL EQUATIONS
An introductory course in ordinary differential equations (ODEs) focusing on primarily on techniques for finding explicit solutions to linear ODEs. Topics include first order ordinary differential equations, linear differential equations, linear equations with constant coefficients, non-homogeneous equations, undetermined coefficients, and variation of parameters, linear systems of equations, the existence and uniqueness of solutions. It also covers elementary applications of first order ordinary differential equation.
Pre-requisite : N/A
Unit: 3
OU MATH 798
SPECIAL PROBLEM IN MATHEMATICS
Evaluation of development trends in Mathematics and recent advances in specific subjects in Mathematics and Mathematics education. Preparation, presentation and acceptance of a report on a trend or recent development in Mathematics education is required.
Pre-requisite : N/A
Unit: 3
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