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Cohort 7 or Prior Cohorts 
Euclidian
and NonEuclidian Geometry 
Mathematical
Analysis and Modeling 
Euclidian and NonEuclidian Geometry Educational
Technology 
Algebraic
Reasoning and Mathematical Structures
Algebraic
Functions, Structures, and Sequences for Teachers 
Applied
Statistics for Teachers 
Mathematical
Analysis and Modeling 
Foundations
of the Number System Algebraic
Reasoning and Mathematical Structures 
Applied
Statistics for Teachers 
Algebra
and Functions for Secondary Teachers 



Cohort 8 
Starting Fall 2016 

Foundation
of the Number System 


MATH 641 Mathematical Analysis and Modeling 
Euclidean
and NonEuclidean Geometry 

Cohort 9 
Starting Fall 2017 
Algebra
and Functions for Secondary Teachers 
Foundations
of the Number System 

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Cohorts 
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Open to All
Cohorts 


NASA Institute 1 



NASA Institute 2 


NASA Institute 3 





Open to All
Cohorts 


VTSTEM Workshop 1 



VTSTEM Workshop 2 


VTSTEM Workshop 3 


Spring 2016 
Summer I 2016 
Summer II 2016 
Mathematical Analysis and Modeling Dr. Juergen Gerlach 5:00pm8:00pm Thursday 1/194/29 
Euclidian and NonEuclidian Geometry Dr. Agida Manizade 4:30pm6:45pm MTWR 5/166/16 Educational Technology: Applications, Applied Research and Integration Dr. Agida Manizade Asynchronous 
Algebraic Reasoning and Mathematical Structures 5:00pm8:00pm Monday, Thursday 6/208/9 Algebraic Structures Dr. Aimee Ellington 4:307:30pm 6/29, 6/30, 7/6, 7/7, 7/11, 7/13, 7/14, 7/18. 7/20, 7/25, 7/27, 7/28 June 20June 24, 2016 NASA Institute for High School Mathematics Professional Development July 1122, 2016 
MATH 630: Algebra and Functions for Secondary Teachers
Mathematics and pedagogy for teaching algebraic reasoning
and secondary school algebra with emphasis on functions. Topics include introductory
algebra and functions; multiple representation; patterns; variation; linear,
quadratic, and exponential functions; small systems of linear equations;
inequalities; problems and techniques for teaching.
MATH 635: Euclidian and NonEuclidian Geometry
The development of
Geometry as an axiomatic system starting with preepoch Greece, and following
through to NonEuclidean Geometries. This coverage will include the development
of the Schoolbased SMSG (School Mathematics Study Group) geometries. The
geometries examined will consist of Euclidean, Neutral, and Elliptic and
Hyperbolic (nonEuclidean) geometries. Euclidean Geometry is expanded using an
Abstract Algebra point of view to introduce transformational geometry. Then
fractal geometry is developed using recursive transformations of geometric
objects. Projective geometry will be examined through perspective drawings.
MATH 641: Mathematical Analysis and Modeling
Examines mathematical models of real
life phenomena and develops solution strategies for openended problems. The
models are based on Calculus, Differential Equations and Linear Algebra; they
may include discrete and continuous population models, diffusion processes,
business and economics models, continuous and discrete optimization problems
with calculus and linear programming. Software may include Excel, Maple, Matlab
or similar programs.
MATH 623: Algebraic Reasoning and Mathematical Structures
Abstract algebra with a focus on
topics directly related to high school algebra and geometry: basic number
theory, rings of integers and polynomials, elementary group theory, fields,
classical geometric constructions, and the insolubility of the quintic.
Applications will be considered as time permits. A computer algebra system will
be employed in examples and assignments.
EDET 620 [Educational Technology]: Applications, Applied Research and Integration
This course emphasizes educational technologies
appropriate for use in Algebra I, Algebra II, AFDA, and
Geometry. To promote balanced
mathematics instruction, the course helps teachers to thoughtfully use a
variety of technological resources and tools to support students’ learning.
Content is aligned with Virginia SOLs and national standards for technology and
for Algebra I, Algebra II, AFDA, and NCTM Communication Standard for grades
912. EDET 620 emphasizes research, practice, and policy involving current
technologies in education and uses mathematics software such as Fathom,
GeoGebra, Excel, and Mathematica. Students learn mathematics applications of
databases, spreadsheets, Internet tools, and tools to create multimedia
projects.
VCU MATH 591b/RU MATH 600: Foundations of the Number System
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.
VCU MATH 591/RU MATH 630: Algebraic Structures, Functions, and Sequences for Teachers
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.
VCU STAT 591/RU STAT 644: Applied Statistics for Teachers
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.
NASA Institute for High School Mathematics
NASA Institutes are 2week PD
programs offered for 16 mathematics teachers, delivered onsite at NASA
Langley. The summer programs include the development of published unit plans
based on VA mathematics SOLs. NASA’s goal for this program is to make a
significant impact on building an educator workforce that is skilled in teaching
innovative design and simulationbased engineering. The direct outcomes of
this program are increases in teacher knowledge of MODSIM and (2) the creation
of lesson plans that integrate MODSIM into high school mathematics. The program
has five components: (1) specialized MODSIM training, (2) guest presentations
by NASA engineers, (3) Aerospace Education Services Project presentations, (4)
tours, and (5) mentoring.
STEM Workshop
VA’s SOLs provide the foundation for
this workshop. The annual, 1week VTSTEM Workshop for mathematics teachers is
designed to help teachers develop educational materials and interact with VT
engineering faculty. The direct outcome of the program is: (1) Increasing teachers’
familiarity of engineering concepts; and (2) Increasing teachers’ ability to
develop interdisciplinary mathematics lessons. Workshop topics related to math
include: (1) Structural stability, equilibrium equations; (2) Analysis of
geometric shapes in structural systems; (3) Wireless applications in
communication; (4) Modulation theory—AM versus FM.
Virtual SchoolBased Professional Developments