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Summer 2018 


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



Cohort 8 
Starting Fall 2016 

Foundation
of the Number System 
Algebra
and Functions 

MATH 641 Mathematical Analysis and Modeling 
Euclidean
and NonEuclidean Geometry 

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

Open to All
Cohorts 

Free 
Free 
Free 
Free 
Free 





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 2018 
Summer I 2018 
Summer II 2018 
Mathematical Analysis and Modeling Time: TBA 
Foundation of the Number System Synchronously at 58pm on Tuesdays and Thursdays. June 25, 28, July 2, 5, 9, 12, 16, 19, 23, 27, 30 Section 1: Calendar Section 2: Calendar Exams due Sunday, June 24 at 11:59pm Algebraic Reasoning and Mathematical Structures Date: Synchronously 4:30  7:30 on 7/5, 7/9, 7/11, 7/12, 7/16, 7/18, 7/19, 7/23, 7/25, 7/26 NASA Institute for High School Mathematics Professional Development Time: July 9 – July 20 Educational Technology: Applications, Applied Research and Integration Time: TBA 

MATH 600: Foundations of the Number System
This course will provide a mature 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 will also cover the common
algebraic extensions of the number systems, and familiarize students with the historical development of the
number systems.
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.
MATH 630: Algebra and Functions
This course examines concepts of advanced algebra and algebraic reasoning, function analysis,
and linear algebra. This course will emphasize real world applications of each of the topics. This course is meant
to build upon students’ conceptual knowledge of undergraduate algebraic concepts and linear algebra concepts.
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.
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.
STAT 644: Applied Statistics
In this course students will develop a comprehension of, and an ability to perform, statistical methods that
are most common in educational research. Emphases will be placed on statistical concepts that will prepare
teachers to teach AP Statistics and to critically examine and comprehend the data analysis in educational
literature. Graphing calculators and computer software may be used to analyze and display data. Lecture and
selfdirected learning will primarily be used.
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