Mathematics Content Defense - PowerPoint Presentation

Slide1

Mathematics Content Defense

Crispin A E Stromberg

Background

Master of Science, Applied Statistics

Kennesaw State University, 2012

Graduate Mathematics and Statistics Courses

University of West Florida

Bachelor of Science, Mathematics

University of North Georgia, 2010

Mathematics Instructor

Lanier Technical College

Lifelong Education Opportunities

Mathematics Tutor

Georgia State University

Private

Self-Assessment Tools

Practice GACE Missed:

1 Number & Quantity, 2 Algebra, 2 Discrete Math, 1 Calculus, 1 Function, 3 Geometry, 0

Prob

/Stats

Self Assessment

All Areas Need Some Review

Number and Quantity

Algebra

Discrete Mathematics and Calculus

Functions

Geometry

Probability and Statistics

AREA I: Number and Quantity

There

are a few outcomes that will require review, and I can do this on my own

.

Study Plan for Number and Quantity

Review vector

addition operations,

velocity

problems, polar coordinate representations of complex numbers, and complex number operations in the plane. TEXT: Chapter 8, sections 2, 3 and 4 of Precalculus: An Investigation of Functions by David Lippman and Melonie Rasmussen (2014).This will be completed by September 30th, 2015.

AREA I: Number and Quantity

Evidence to Support Plan

Coursework

Precalculus

Calculus Sequence

Real Analysis (undergraduate and graduate)

Physics I and II

Teaching/Tutoring

College-level Learning Support Math Algebra I and II

AREA II: Algebra

There are a few outcomes that will require review, and I can do this on my own

.

Study Plan for Algebra

I will review the binomial theorem, rate of change, and techniques for analyzing zeros of functions.

I

will accomplish this by reading and working problems in extended Chapter 3, sections 1 through 5 of

Precalculus

: An Investigation of Functions by David Lippman and Melonie Rasmussen (2014).This will be accomplished by September 30th, 2015.

AREA II: Algebra

Evidence to Support Plan

Coursework

Precalculus

Calculus Sequence

Real Analysis (undergraduate and graduate)

Teaching/Tutoring

C

ollege-Level Learning Support math classesAlgebra I and II

AREA III: Discrete Mathematics and Calculus

T

here

are a few outcomes that will require review, and I can do this on my own

.

Study Plan for Discrete Mathematics and Calculus

I will review sequences, basic vertex-edge graphs, trees, and networks, truth statements, one-sided and non-existent limits, continuity tests, behavior of functions, applications of the calculus, and infinite series.

I

will study and work problems in Chapters 3,6,8,9, and 10 in Applied Discrete Structures by Alan Doerr and Kenneth Levasseur (2013). For the calculus areas, I will study and work problems in Chapters 1,3,4,7, and 8 of the APEX book, Calculus, by Gregory Hartman, Brian Heinold, Troy Siemers, and Dimplekumar Chalishajar

(2013

).

Chapter Contents

This will be completed by

November 30

th

, 2015.

AREA III: Discrete Mathematics and Calculus

Applied Discrete Structures

by Alan

Doerr

and Kenneth

Levasseur

Applied Discrete Structures

Chapters 3, 6, 8, 9, 10Calculus, by Gregory Hartman, Brian Heinold, Troy Siemers, and Dimplekumar Chalishajar CalculusChapters 1, 3, 4, 7, 8

AREA III: Discrete Mathematics and Calculus

Evidence to Support Plan

Coursework

Discrete Mathematics

Calculus Sequence

Differential

Equations

Partial Differential Equations (graduate)

Mathematical Modeling (graduate)Real Analysis (undergraduate and graduate)TutoringCalculus Sequence

AREA IV: Functions

There are a few outcomes that will require review, and I can do this on my own.

Study Plan for Functions

I will review inverse functions to solve trigonometric equations in modeling contexts.

This

will be accomplished by reading and working problems in Chapter 6,

sections 3-5 of

Precalculus

: An Investigation of Functions by David Lippman and Melonie Rasmussen (2014).This will be completed by September 30th, 2015.

AREA IV: Functions

Evidence

to Support

Plan

Coursework

Precalculus

Calculus Sequence

Real Analysis (undergraduate and graduate)Teaching/TutoringAlgebra I and II Trigonometry

AREA V: Geometry

There are a few outcomes that will require review, and I can do this on my own.

Study Plan for Geometry

I will review compass and straightedge constructions, congruence in terms of rigid motions, equations of conic sections with foci given, circle theorems, sectors of circles, and geometric methods to solve design problems.

I

will accomplish this by reading and working problems in Chapters 2-4 of

College Geometry Using the Geometer’s Sketchpad

by Barbara E. Reynolds and William E. Fenton

. If schedule permits, I will also take Modern Geometry when it is offered in the Spring semester of 2016.This will be completed by May 15th, 2016.

AREA V: Geometry

Evidence

to Support

Plan

Coursework

Modern Geometry (Undergraduate)

Teaching/Tutoring:

Geometry

Algebra IITrigonometry

 AREA VI: Probability and

Statistics

There are a few outcomes that will require review, and I can do this on my own

.

Study

Plan for Probability and Statistics

I will review Probability Distributions, Expected Value, and Simulations. I will do this by

studying:

Chapter 2: Probability Chapter 3: Random Variables in An Introduction to Mathematical Statistics. This will be completed by May 15th, 2016.

 AREA VI: Probability and

Statistics

Evidence to Support Plan

Coursework

Mathematical Statistics I (grad)

Mathematical Statistics II (grad)

M.S. in Applied Statistics

Work ExperienceStatistics Internship

Texts

Doerr

, A. &

Levasseur

, K. (2013).

Applied Discrete Structures

. Retrieved from:

http://faculty.uml.edu/klevasseur/ADS2_zips/ADS_V2-0.pdf

Hartman, G.,

Heinold

, B.,

Siemers

, T., &

Chalishajar

, D. (2013).

Calculus

. J. Bowen (Ed.). Retrieved from:

http://www.vmi.edu/WorkArea/DownloadAsset.aspx?id=10737424884

Larsen, R.& Marx, M. (2005).

An Introduction to Mathematical Statistics

(4

th

ed.)

.

Prentice Hall.

Lippman

, D.& Rasmussen, M., (2014).

Precalculus

: An Investigation of Functions

. Retrieved from

http://www.opentextbookstore.com/precalc/1.4/Precalc.pdf

Reynolds, B. & Fenton, W. ( 2012).

College Geometry using the Geometer’s Sketchpad.

Sommerset

. NJ: Wiley.

Online Resources

NPTEL

Khan Academy

YouTube

Coursework

Title of Course

Listing

Date

Level

Institution

Numerical Analysis I

MAD 6405

Spring 2015

Graduate

UWF

Real Analysis

MAA 6306

Fall 2014

Graduate

UWF

Mathematical Statistics II

STA 5326

Summer 2014

Graduate

UWF

Partial Differential Equations

MAP 5345

Summer 2014

Graduate

UWF

Mathematical Modeling

MAP 6108

Spring 2014

Graduate

UWF

Biostatistics

STA 5176

Fall 2013

Graduate

UWF

Matrix Theory

MAS 5145

Fall 2013

Graduate

UWF

Advanced Probability

MAP 5471Summer 2011GraduateUWFApplied Analysis ProjectSTAT 8940Fall 2012GraduateKSUApplied Categorical Data AnalysisSTAT 8310Fall 2012GraduateKSUAdvanced Programming in SASSTAT 8020Fall 2012GraduateKSUApplied Analysis ProjectSTAT 8940Summer 2012GraduateKSUApplied Regression AnalysisSTAT 8210Summer 2012GraduateKSUApplied Experimental DesignSTAT 8120Spring 2012GraduateKSUProgramming in RSTAT 7900Spring 2012GraduateKSUStatistical MethodsSTAT 7100Fall 2011GraduateKSUStatistical ComputingSTAT 7000Fall 2011GraduateKSU

Title of Course

Listing

Date

Level

Institution

Senior Project in Math

MATH 4950

Fall 2010

Undergrad.

UNG

Intro to Discrete Mathematics

MATH 3500

Fall 2010

Undergrad.

UNG

Differential Equations

MATH 3000

Fall 2010

Undergrad.

UNG

Game Theory

MATH 3950

Spring 2010

Undergrad.

UNG

History of Mathematics

MATH 4700

Spring 2010

Undergrad.

UNG

Adv

Calculus I (Real Analysis)

MATH 4661

Fall 1998

Undergrad.

GSU

Modern Algebra I

MATH 4441

Spring 1999

Undergrad.

GSU

Geometry

MATH 3120

Summer 1999

Undergrad.

GSU

Intermediate Linear Algebra

MATH 435

Winter 1997

Undergrad.

GSU

Mathematical Statistics I

MATH 451

Winter 1997

Undregrad.

GSU

Intro Linear Algebra

MATH 335

Fall 1996

Undergrad.

GSU

Discrete Mathematics

MATH 220

Winter 1996

Undergrad.

GSU

Intermediate Calculus

MATH 214

Winter 1996

Undergrad.

GSU

Multivariable Calculus III

MATH 213

Fall 1995

Undergrad.

GSU

Calculus of One Var II

MATH 212

Summer 1995

Undergrad.

GSU

Calculus of One Var I

MATH 211

Spring 1995

Undergrad.

GSU

PreCalculus

MATH 126

Winter 1995

Undergrad.

GSU