G Michael Guy CV

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G. Michael Guy
EDUCATION
University of Georgia – Athens, GA
Ph.D. Mathematics
M.A. Mathematics
University of Louisiana at Lafayette – Lafayette, LA
B.A. Mathematics
TEACHING EXPERIENCE
Queensborough Community College, CUNY – Bayside, NY
Associate Professor (with Tenure), Mathematics (2008-Present)
Columbia University in the City of New York – New York, NY
Ritt Assistant Professor, Mathematics (2007-2008)
Columbia University in the City of New York Academic Success Program – New York, NY
Instructor, Summer Bridge Program (2007-2010)
Monroe College – Bronx, NY
Adjunct Professor, Mathematics (2008-2010)
University of Georgia – Athens, GA
Instructor, Mathematics (2007)
Teaching Assistant, Mathematics (2001-2007)
Athens Technical College – Athens, GA
Adjunct Instructor, Mathematics (2006-2007)
COURSES TAUGHT
Basic Mathematics & Problem Solving
Elementary Algebra
Intermediate Algebra
College Algebra & Trigonometry
Pre-calculus
Differential Calculus
Integral Calculus
Multivariable Calculus
Calculus for Technical and Business Students
Number Systems for future teachers (Writing Intensive)
Quantitative Methods
Intro to Discrete Mathematics (Writing Intensive)
Decision Mathematics
Intro to Higher Mathematics
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Guy, G. M
FUNDED GRANTS
1. Guy, G. M. (PI), Cornick, J. (Co-PI), & Puri, K (Co-PI). (2013-2014). My Math GPS: Elementary Algebra. Guided
Problem Solving Aligned Online MapleTA Problem Sets. Improving Outcomes in High Enrollment Remedial and
Gateway Courses Grant. CUNY Central Office of Academic Affairs. Total Award: $49,500.
2. Guy, G. M. (PI). (2012-2013). Raising Standards or Closing Doors: An Exploratory Case Study of the Effects of
Raising Cut Scores on Student Progression in Developmental Mathematics. Traditional B Grant. PSC CUNY
Education Panel. Total Award: $3,990.
3. Cornick, J. (Co-PI), & Guy, G. M. (PI). (2011-2012). More than Math: Cultivating learning-centered classroom
communities. Pedagogical Challenge Grant. QCC Center for Excellence in Teaching and Learning. Total Award:
$14,984.
4. Cornick, J. (Co-PI), Guy, G. M. (PI), Holt R. J. (Co-PI), & Russell, A. S. H. (Co-PI). (2011-2012). Algebra WARM UPS
(Workshop Approach to Remedial Mathematics Using Problem Solving). Improving Undergraduate Learning
Outcomes in Writing and Mathematics Initiative Grant. City University of New York. Total Award: $40,000.
5. Cornick, J. (Co-PI), Guy, G. M. (PI), Holt R. J. (Co-PI), & Russell, A. S. H. (Co-PI). (2009-2010). Accelerated WARM
UPS (Workshop Approach to Remedial Mathematics Using Problem Solving). Improving Math Learning Grant.
CUNY Central Office of Academic Affairs. Total Award: $75,555.
PROFESSIONAL HONORS
1. Cornick, J., Guy, G. M., Holt R. J., & Russell, A. S. H. (2012). Innovation of the Year for Accelerated WARM UPS.
League for Innovation in the Community College.
2. Guy, G. M. (2011). Chancellor’s Award for Excellence in Undergraduate Mathematics Instruction. City University
of New York.
3. Guy, G. M. (2004). Outstanding Graduate Teaching. University of Georgia.
4. Guy, G. M. (2002-2007). NSF VIGRE Fellowship. University of Georgia.
WORKS IN PROGRESS
1. Analysis of the impact of a delayed start on student retention (with M. Watanabe-Rose).
2. Assessment of the use of an online program without traditional time barriers to address the needs multiplerepeaters in developmental Elementary Algebra (with M. Edlin).
3. Assessment of the use of supplemental instruction in developmental Elementary Algebra (with J. Cornick).
4. Exploration on the impact of instructors on student performance in developmental Elementary Algebra (with J.
Cornick).
5. An exploration of changes in affective, non-cognitive characteristics of developmental students (with J. Cornick
and A. Traver).
6. An exploration of how changing to the NYS Common Core Mathematics assessment impacts determination of
college readiness.
PUBLICATIONS
1. Guy, G. M., Cornick, J., Holt, R. J., & Russell, A. S. H. (to appear). Accelerated Developmental Arithmetic Using
Problem Solving. Accepted to Journal of Developmental Education.
2. Guy, G. M., Cornick, J., & Puri, K. (to appear). Contextualizing Arithmetic into Developmental Elementary Algebra
using Guided Problem Solving. Accepted to PRIMUS.
3. Guy, G. M., Cornick, J., & Beckford, I. (2015). More than Math: On the Affective Domain in Developmental
Mathematics. International Journal for the Scholarship of Teaching and Learning, 9(2), Article 7. Available at:
http://digitalcommons.georgiasouthern.edu/ij-sotl/vol9/iss2/7
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Guy, G. M
4. Guy, G. M., Puri, K., & Cornick, J. (2015). A Look at the Impact of Raising Standards in Developmental
Mathematics. Community College Journal of Research and Practice, 1-8. doi: 10.1080/10668926.2014.985805
5. Cornick, J., Guy, G. M., & Beckford, I. (2015). Integrating study skills and problem solving into remedial
mathematics. Teaching Mathematics and its Applications. doi: 10.1093/teamat/hru028 Available at:
http://teamat.oxfordjournals.org/cgi/content/full/hru028?ijkey=G9lEpqMtVWAvdjo&keytype=ref
6. Puri, K., Cornick, J., & Guy, G. M. (2014). An analysis of the impact of course elimination via contextualization in
developmental mathematics. MathAMATYC Educator, 5(2), 4-10.
7. Cornick, J., Guy, G. M., & Puri, K. (2014). My Math GPS: Elementary Algebra Guided Problem Solving (2014 ed.).
Textbook aligned to CUNY’s Elementary Algebra Learning Outcomes. Released as an Open Educational Resource
(OER) under a Creative Commons Open License which results in greater availability and lower cost to students.
8. Cohen, B., & Guy, G. M. (2014). Why the New Common Core-aligned Math Tests are Better for Our Kids. Engage
NY, (March 27, 2014). Available at https://www.engageny.org/content/why-new-common-core-aligned-mathtests-are-better-our-kids
9. Guy, G. M. (2014, May 6). Common Core math gains are worth the pain. New York Daily News. Available at
http://www.nydailynews.com/opinion/common-core-math-gains-worth-pain-article-1.1781691
10. Guy, G. M., Cornick, J., Gardella, F., & Nixon-Friedheim, B. (2013). Solving Linear Equations. Graduate NYC
Curriculum Alignment Project, Developmental Algebra.
11. Guy, G. M., Cornick, J., Holt, R., & Russell, A. S. H. (2012). Accelerated WARM UPS Workshop Approach to
Remedial Mathematics Using Problem-Solving. In A. W. Logue & M. Watanabe-Rose (Eds.), Improving
Undergraduate Mathematics Learning (pp. 25-36). The City University of New York: CUNY Office of Academic
Affairs.
12. Cornick, J., Guy, G. M., Holt, R. J., Russell, A. S. H. (2010). Arithmetic WARM UPS: Workshop Approach to
Remedial Mathematics Using Problem Solving. New York, NY: Pearson Learning Solutions. ISBN: 978-0-55878051-7 (In second edition)
13. Alexeev, V., & Guy, G. M. (2008). Moduli of Weighted Stables Maps and Their Gravitational Descendants. Journal
of the Institute of Mathematics of Jussieu, 7(03), 425-456. doi: doi:10.1017/S1474748008000108
14. Appendix in: Granville, A., & Martin, G. (2006). Prime Number Races. The American Mathematical Monthly,
113(1), 1-33. doi: 10.2307/27641834
15. Appendix in: Granville, Andrew, & Martin, Greg. (2005). El Diablo de Los Números. La Gaceta de la Real Sociedad
Matemática Española, 8(1), 197-240.
16. University of Georgia VIGRE Algebra Group, (2005). Varieties of nilpotent elements for simple Lie algebras II: Bad
primes. Journal of Algebra, 292(1), 65-99. doi: http://dx.doi.org/10.1016/j.jalgebra.2004.12.023
17. University of Georgia VIGRE Algebra Group, Varieties of nilpotent elements for simple Lie algebras I: Good
primes. (2004). Journal of Algebra, 280(2), 719-737. doi: http://dx.doi.org/10.1016/j.jalgebra.2004.05.023
PRESENTATIONS
1. Guy, G. M. (2015). Using MapleTA to improve student success and course alignment. International MapleTA User
Summit, New York, NY. Available at: https://youtu.be/WYa_RGDyXSo
2. Guy, G. M. (2015). Accelerating Developmental Mathematics by Contextualizing Prerequisites into a Single
Course using Problem-Solving (for STEM, too!). Presented at the National Joint Mathematics Meetings, San
Antonio, TX.
3. Guy, G. M., Cornick, J., Puri, K., Community College Research Center. (2014). Scaling Change Not Just Reform:
The Story of Developmental Math Innovation at Queensborough Community College. Presented at the National
Conference on Acceleration in Developmental Education, Baltimore, MD.
4. Guy, G. M. (2013). A Look at the Impact of Raising Standards in Developmental Mathematics. Presented at the
Region IV Conference for New York State Mathematical Association of Two-Year Colleges (NYSMATYC), Brooklyn,
NY.
5. Guy, G. M. (2011). Accelerated WARM UPS: Doing more with less time used differently. Remedial Arithmetic in as
Little as 20 hours. Presented at the National Joint Mathematics Meetings, New Orleans, LA.
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Guy, G. M
6. Guy, G. M. (2011). AreYouReadyForMath.com: Placement Test Preparation on the Open Web. Presented at the
Region IV Conference for New York State Mathematical Association of Two-Year Colleges (NYSMATYC), Nassau
Community College.
7. Guy, G. M. (Presider) (2014). Pedagogy. Session presented at the CUNY Mathematics Conference: Effective
Instructional Strategies, New York, NY.
8. Guy, G. M. (2012). Success and Opportunity: Curricular and Structural Implications from Scaling Arithmetic
WARM UPS. Presented at the CUNY 2012 Mathematics Conference: Effective Instructional Strategies, New York,
NY.
9. Guy, G. M. (2012). Scaling Student Success in Developmental Mathematics at Queensborough Community
College. Presented at the Queensborough Community College Department of Mathematics Professional
Development Seminar, Bayside, NY.
10. Guy, G. M. (Presider) (2012). New Perspectives on Pedagogy. Session presented at the CUNY Mathematics
Conference: Effective Instructional Strategies, New York, NY.
11. Guy, G. M. (2012). Learning Mathematics: Success through Effective Study Skills. Presented at Queensborough
Community College: Interactive talk to Collegiate Science Technology Program (CStep) students, Bayside, NY.
12. Guy, G. M. (2011). CUNY Mathematics Readiness: Why it Matters, and How We Measure it. A presentation to
Queens High School Math Assistant Principals, Bayside, NY.
13. Guy, G. M. (2011). Reforming Remedial Mathematics: An Evidence Based Approach 2011. Presented at the
Queensborough Community College Spring Convocation of the College focused on, “Are We Making a
Difference? Using Research to Inform Practice,” Bayside, NY.
14. Guy, G. M. (2011). Accelerated WARM UPS. Paper session presented at the meeting of the CUNY Office of the
Executive Vice Chancellor: Improving Math Learning Projects Final Presentations, New York, NY.
15. Guy, G. M. (2010). Remediation Roadmap: An Advisor’s Guide to Mathematics Remediation. Presented at a
meeting of Queensborough Community College with QCC Advisors and Freshman Academy Coordinators,
Bayside, NY.
16. Guy, G. M. (2010). Moduli of Weighted Stable Curves and Maps and Some Interesting Intersections. Presented at
the Algebraic Geometry and Commutative Algebra Seminar at the CUNY Graduate Center, New York, NY.
17. Guy, G. M. (2007). Moduli of Weighted Stable Curves and Maps. Presented at the Algebraic Geometry Seminar
of the Department of Mathematics of Columbia University, New York, NY.
18. Guy, G. M. (2007). Gravitational Descendants and Weighted Stable Maps. Presented at the Algebraic Geometry
Seminar of the Department of Mathematics at the University of Michigan, Ann Arbor, MI.
19. Guy, G. M. (2007). A First Look at Moduli Spaces in Algebraic Geometry. Presented at the Algebraic Geometry
Seminar of the Department of Mathematics at the University of Georgia, Athens, GA.
20. Guy, G. M. (2006). Gravitational Descendants and Weighted Stable Maps. Presented at the Algebraic Geometry
Seminar of the Department of Mathematics at the University of Illinois Urbana-Champaign, Champaign, IL.
21. Guy, G. M. (2006). Gravitational Descendants and Weighted Stable Maps. Presented at the Algebraic Geometry
Seminar of the Department of Mathematics at the University of Georgia, Athens, GA.
22. Guy, G. M. (2005). Introduction to Gromov-Witten Theory. Presented at the Algebraic Geometry Seminar of the
Department of Mathematics at the University of Georgia, Athens, GA.
23. Guy, G. M. (2004). Eliminating Envy: An Introduction to Fair Division. Presented at the Graduate Student Seminar
of the Department of Mathematics at the University of Georgia, Athens, GA.
24. Guy, G. M. (2003). Ascending and Descending Chain Conditions on Rings. Presented at the Graduate Student
Seminar of the Department of Mathematics at the University of Georgia, Athens, GA.
25. Guy, G. M. (2001). Prime Number Races. Presented at the VIGRE Seminar of the Department of Mathematics at
the University of Georgia, Athens, GA.
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Guy, G. M
MEMBERSHIPS IN PROFESSIONAL SOCIETIES
1. (2011-Present). National Association of Developmental Education (NADE).
2. (2009-Present). New York State Mathematical Association of Two-Year Colleges (NYSMATYC).
3. (2008-Present). National Council of Teachers of Mathematics (NCTM).
4. (2009-Present). American Mathematical Association of Two-Year Colleges (AMATYC).
5. (2001-Present). American Mathematical Society (AMS).
PROGRAMMING SKILLS
Maple computer algebra system
Texas Instrument graphing calculators
R statistical language programming
Visual Basic programming
Visual Basic for Office programming
JavaScript programming
PHP programming
WordPress programming
C++ programming
Java programming
Postscript programming
Python programming
MapleTA programming and administration
Pearson’s MathXL/MyMathLab/MyMathTest
programming and administration
DEPARTMENT SERVICE
1. (2013-2015). Member, Remediation Committee.
2. (2009-Present). Developer & Maintainer, Custom Scheduling & Reporting Tool.
Designed, Implemented and Support custom Excel Software programmed in Visual Basic used by the Deputy
Chair and Departmental Secretaries to produce more than 25 Microsoft Word reports. A summary of the
features are as follows:
 Graphical User Interface for managing and entering course schedules.
 Graphical User Interface for managing and entering instructor information.
 Creates teaching schedule reports for use by the faculty, department, HR, P&B committee, student
evaluation, and for posting on bulletin boards.
 Graphical User Interface to email faculty teaching schedules and final exam schedules.
 Integrates with Google Forms to collect teaching requests. Emails faculty confirmation of their request
and sends reminders to complete the form. Generates reports of requests for the Deputy Chair, Evening
Supervisor, and Adjunct Coordinator to use when creating teaching schedules.
 Integrates with Google Forms to collect and validate office hours. Emails faculty confirmation of their
office hours and sends reminders to complete the form.
 Creates reports by room to maximize room usage and prevent double booking. Also produces reports of
faculty teaching in each ID Card Lock room for programming access.
3. (2010- Present). Developer & Maintainer, Attendance Workbook Tool.
Creates personalized Excel Attendance Workbooks for every member of the Mathematics Department which
has individualized class meetings listed and contains space for basic grade record keeping.
4. (2008-2015). Webmaster, QCC Mathematics Department Webpage.
5. (2013). Member, Ad hoc committee charged with recommending cut score changes for College Algebra.
6. (2011-2012). Student Engagement Assessment Coordinator of student surveys for the QCC Math Department’s
Perkins Grant on The Virtual Classroom (Online tutoring led by Fabricant, M. joint with Molina, E., Nercessian,
E., & Peskin, S.).
7. (2011). Member, Mathematics Department Final Exam Committee.
8. (2011). Member, Mathematics Department Assessment/Pathways Committee.
9. (2010-2012). Course Coordinator, Arithmetic.
Created and implemented professional development for and supported faculty, mentored students,
developed and scheduled final exams.
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(2010). Organized, promoted, and lead the Mathematics Department’s Elementary Algebra Workshops.
(2010). Member, Elementary Algebra Technology, Book and Pedagogy Committee.
(2009). Developer & Maintainer, On-line material and website for the Arithmetic WARM UPS class.
(2009). Coauthor, New textbook and developed curriculum alternative arithmetic remedial class
(2008). Member, Ad hoc Mathematics Department’s Committee for Precalculus Syllabus revision.
COLLEGE SERVICE
1. (2014-2015). Participant, Center for Excellence in Teaching and Learning Faculty Inquiry Group focused on
examining how/if proficiency in remedial algebra correlates with success in introductory courses across
disciplines.
2. (2013-2014). Member, QCC’s Remediation Research and Review Committee.
3. (2014). Participant in the Center for Excellence in Teaching and Learning Faculty Inquiry Group How to Publish
Your Pedagogical Project organized by Cornick, J., Traver, A., & Hindman, J.
4. (2013). Panel Discussion Participant, Center for Excellence in Teaching and Learning Seminar series on the design
of rigorous pedagogical research.
5. (2012). Reviewer, QCC Center for Excellence in Teaching and Learning Pedagogical Challenge Grants
6. (2012). Developer & Maintainer, Faculty Website Template
Created a template for QCC faculty to use to create a professional website. This template is available within
QCC’s Website Content Management System for any QCC faculty and staff who wish to take advantage of it.
7. (2012). Coordinator and Faculty Trainer, CUNY Elementary Algebra Final Exam.
8. (2012). Mentor, QCC Center for Excellence in Teaching and Learning.
Conducted professional development session for future applicants for QCC Center for Excellence in Teaching
and Learning Pedagogical Challenge Grants
9. (2010-2013). Member, QCC Computer Resources Committee.
10. (2009). Writing Intensive certified.
11. (2009). Attended 5th Annual CUNY General Education Conference: Teaching Millennial Learners.
12. (2008-2010). Chair, Mathematics Department Basic Mathematics Committee.
13. (2008). Participated in ASAP instructor team group meetings.
UNIVERSITY SERVICE
1. (2011-Ongoing). University Mathematics Assessment Specialist, CUNY Central Office of Institutional Research
and Assessment (OIRA). Working with Dr. David Crook, University Dean for the CUNY Office of Institutional
Research and Assessment, Dr. Raymond Moy, University Director of Assessment, and Ms. Melissa Uber,
University Director of Testing, I have been charged with the following responsibilities:
 Developing and coding questions for the exam, including reviewing and editing all questions submitted
by other faculty to ensure alignment with exam requirements.
 Creating detailed reporting of student scores for post-test analysis by OIRA personnel.
 Creating aggregate reporting of student scores for distribution to all Math Department Chairs, and
directors of CUNY Programs such as CUNY Start.
 Creating Excel Macros for efficiently distributing grades to faculty in departments.
 Creating Visual Basic programming for systematically loading data into MapleTA for test administration.
 Creating Item Analysis reports with disaggregation for University, Departmental, and Instructor usage.
 Working directly on behalf of the CUNY OIRA with the contracted vendor, Maplesoft, to identify
requirements pertaining to the design/build/test and implementation of the exam.
 Producing training manuals and materials for Testing Directors at each testing site.
 Producing student and faulty instructional pages and practice materials in an open instance of MapleTA.
 Providing real-time assistance during exam administration, resolving issues with capturing of student
scores by the system, and troubleshooting any issues that arise across the University.
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(2015). Faculty Fellow, CUNY Central Office of Academic Affairs.
(2015-2016). Co-chair, joint NYC DOE/CUNY committee on college readiness in mathematics.
(2015). Member, CUNY’s CEAFE Panel.
(2015). Member, CUNY’s Remedial Testing Committee which selected a placement testing provider for the
university.
(2014). Conference Organizing Committee Member, CUNY 2014 Mathematics Conference: Effective Instructional
Strategies.
(2013). Member, CUNY’s 2013 Chancellor’s Award in Mathematics Selection Committee.
(2012). Graduate NYC Math Curriculum Alignment Member.
 The Curriculum Alignment Project brings together faculty and curriculum development experts from
CUNY and the DOE to generate curricular units and performance-based assessments in literacy and
math that are aligned across high school, developmental, and introductory college level work.
 This curricular work is also aligned with the Common Core State Standards (CCSS), the work of DOE high
schools implementing “Core-Aligned Tasks,” the CUNY Pathways Initiative, and other academic
standards at CUNY.
 These curricular units and assessments are meant to be prototypes or exemplars that, once developed
and tested, could and would be used widely in instruction across CUNY and the DOE.
(2012). Member, Graduate NYC College Focus Math Planning Group.
The College Focus Program is designed primarily to help NYC public high school students meet standards for
placement into credit-bearing college courses at CUNY, beginning with efforts to increase exemption from
remediation during a summer workshop.
(2012). Member, Conference Organizing Committee for the CUNY 2012 Mathematics Conference: Effective
Instructional Strategies.
(2012). Pilot Test Developer, CUNY Central Department of Testing.
 Authored the Inaugural CUNY Elementary Algebra Final Exam (CEAFE) jointly with Deraney, P. (CityTech),
Holt, R. (QCC).
 Jointly responsible for question writing, and solely responsible for development of custom software to
create the paper exams to the specifications determined by testing (Written in MS Visual Basic for
Word).
 Reviewed data from the Inaugural CUNY Elementary Algebra Final Exam, made revisions to the question
bank, and authored problems for implementation in MapleTA jointly with Holt, R. (QCC), & Rozenblyum,
A. (CityTech).
(2011). Member, Graduate NYC College Readiness and Success initiative’s Math Team.
This citywide initiative brings together the resources of the Mayor’s Office, the NYC Department of
Education, CUNY, several city agencies, and an extensive group of local community-based organizations.
(2011). Member, CUNY Math Panel who made recommendations on the learning outcomes and exam
specifications to be used to determine Elementary Algebra Proficiency at CUNY. This new exam and learning
outcomes is the replacement of the COMPASS exit exam for all CUNY developmental students.
(2010-2011). Technology consultant, curriculum advisor, and content designer, CUNY Math Entrance Exam Prep
Website AreYouReadyForMath.com (with Fabricant, M., Molina, E., Nercessian, E., & Peskin. S.).
(2010). Attended CUNY's Technology in Mathematics Instruction Conference.
COMMUNITY SERVICE
1. (2012-Present). Consultant, New York State Education Departments Mathematics Content Advisory Panel.
 This is one of the key panels that is contributing to and shaping New York State's Regents Reform
Agenda and Race to the Top initiatives.
 The Mathematics panel has a number of other higher education professors from across the state, as well
as early childhood, elementary, middle, and high school teachers.
 The panel reviews and provides guidance on state assessment, curriculum, and policy.
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2. (2015). Panelist, Partnership for the Assessment of Readiness for College and Careers (PARCC) National
Postsecondary Educators’ Judgment Study.
Based on my experience as a faculty member who is familiar with the knowledge and skills necessary to be
academically prepared for entry-level, college-credit bearing courses in mathematics, I offered feedback on
how a student should perform on individual assessment items in mathematics in order to receive a college
ready score and to be exempt from remedial coursework.
3. (2014). Standard Setting Panelist. Higher Education Member for Standard Setting to recommend the “cut
scores” to the New York State Education Commissioner for Algebra 1 Regents Common Core Aligned New York
State Assessment.
4. (2013). Finalist Interviewer, Math for America Master Teacher Fellowship.
5. (2013). Standard Setting Panelist. Higher Education Member for Standard Setting to recommend the “cut
scores” to the New York State Education Commissioner for Grades 3-8 Mathematics Common Core State
Standard Aligned New York State Assessments.
6. (2011). Finalist Interviewer, Math for America Early Career Teacher Fellowship.
7. (2010-Present). Developer & Maintainer, mTouch Quiz WordPress Plugin Software.
 Developed a free, open source learning-centered quiz software in use by many websites.
 Uses include: mathematics practice, foreign language learning, studying for GED exams, Physician’s
Assistant study resources, and many more.
 Software has been downloaded more than 75,000 times globally and is currently available in more than
17 languages.
8. (2010). Member, Port Authority of New York and New Jersey’s PATH Patron Advisory Committee.
9. (2007-2010). Instructor, Columbia University Academic Success Summer Bridge Program, New York, NY.
Taught summer calculus program for under-represented and low-income students who are preparing to be
first time freshman at Columbia University.
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