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Fall 2014 
Spring 2015 
Summer 2015 
Cohort 3 (internally
cohort 5) 
RU STAT 644 
VCUMATH 630 
VCU MATH 600 
Cohort 4 (internally
cohort 6) 
RU MATH 630 

RUMATH 600 
Foundations of the Number System; transfers for RU Math 600.
This course provides a mathematical foundation for the number systems used in secondary and postsecondary mathematics courses, with an emphasis on rigorous logical and settheoretical foundations of the natural numbers, integers, rational numbers, and real numbers. The course also covers the common algebraic extensions of the number system and familiarizes students with the historical development of the number system.
Course Topics  Related Standards 
Set Theory  A.4(b), A.5 (a)(c)(d), A.7 (b)(c), AII.2, AII.4(a) 
Relations and Functions  A.7(a)(b)(e), A.8, AII.7(a)(g)(h), AFDA.1(c) 
Real Number System  A.1, A.2(a), A.5(b)(c)(d), AII.1(a)(b), AII.2 
Complex Number System  A.5(b), AII.3 
Group, Ring and Field Theory  A.2(b)(c), A.3, A.4(a)(b)(c), AII.1(a)(b)(c)(d), AII.5 
Algebraic Structures, Functions, and Sequences for Teachers (VCU Math 591; transfers for RU Math 630).
This course will explore a variety of algebrarelated topics including modular arithmetic; characteristics of polynomial, exponential, logarithmic, and trigonometric functions; and algebraic structures including semigroups, groups, rings, integral domains, and fields.
Course Topics  Related Standards 
Modular Arithmetic and Systems of Numbers: Divisibility, Euclid’s Algorithm, Linear Congruence, Integers mod m  A.7, A.8, AII.7, AFDA.1 
Function characteristics: Polynomials, Exponential functions, Logarithmic functions, Trigonometric functions  AII.6, AII.7, AII.8, AII.9, A.7, AFDA.1, AFDA.3, AFDA.4 
Sequences and Series: Algebraic, Geometric, Fibonacci  AII.2, MA.5, MA.6 
Algebraic Structures: Binary Operations, Semigroups & Groups, Subgroups, Cyclic Subgroups & Permutation Groups, Isomorphisms & Homomorphisms, Rings, Integral Domains, Fields  A.2, A.3, A.4, A11.1, AII.5 
Applied Statistics for Teachers (VCU Stat 591; transfers for RU STAT 644).
This course explores ways to collect, organize, display, and analyze data and make reasoned decisions based on it. Students use statistical methods based on data, develop and evaluate inferences and predictions about data, and apply probability and distribution theory concepts. The course helps prepare teachers to teach statistical concepts and AP statistics and to critically examine and comprehend data analysis in education literature. Graphing calculators and computer software are incorporated.
Course Topics  Related Standards 
Probability laws and counting techniques  AII.12, PS.11, PS.12 
Probability distributions for discrete and continuous random variables  PS.13, PS.14 
Sampling techniques and experimental designs  AII.11, PS.8, PS.10, AFDA.3, AFDA.7, AFDA.8 
Analysis of categorical data, review of descriptive statistics  A.9, A.10, PS.1, PS.2, SP.3, PS.4, PS.7 
Statistical inference, evaluating experimental and descriptive research studies, twosample ttests for independent and dependent samples, correlation analysis  A.11, PS.5, PS.16, PS.17, PS.18, PS.19, PS.20 