# Thomas G. Edwards

**Office Hours:** Call 313-577-0980 or email t.g.edwards@wayne.edu to arrange an appointment.

###### Education

BA (Mathematics), SUNY at Buffalo, 1967.

MS (Education), Canisius College, 1971.

PhD (Mathematics Education), The Ohio State University, 1994.

#### Biography

Dr. Thomas Edwards taught mathematics for 24 years in grades 7-12 in the Buffalo, NY Public Schools. In 1991, he began doctoral studies in mathematics education at the Ohio State University, completing the PhD in 1994. He accepted a tenure-track position at Wayne State University beginning with the 1994-95 academic year, was tenured and promoted to the rank of associate professor in 2000, and was promoted to the rank of full professor in 2010.

Dr. Edwards's primary research interests are teaching school mathematics in the context of real world problems, the integration of technology, especially graphing calculators, in school mathematics instruction, and the means by which students of all ages acquire mathematical understanding. He has published articles that address these issues across a number of grade levels, as evidenced by his publications in *Teaching Children Mathematics*, *Mathematics Teaching in the Middle School*, *Mathematics Teacher*, and the *College Mathematics Journal*.

In 2012, Dr. Edwards was appointed Interim Associate Dean for Research, and in 2017, Interim Associate Dean for Teacher Education.

#### Responsibilities

Co-Manage the operation of the Teacher Education Division in the College of Education; Teach MAE courses; Advise graduate students

#### Academic Interests

1. Increasing the mathematics content knowledge of elementary and middle school teachers.

2. Constructivist theory in the teaching and learning of mathematics at all levels.

3. Helping teachers at all levels to connect college-level mathematics with mathematics in K-12 schools.

#### Area Of Expertise

1. Using graphing calculators in mathematics instruction.

2. Developing mathematics content in the context of authentic real world problem situations.

#### Research Interests

1. Teaching school mathematics in the context of authentic real world problems.

2. The integration of technology, especially graphing calculators, in school mathematics instruction.

3. The means by which students of all ages acquire mathematical understanding.

#### Courses Taught

Mathematics for Elementary Teachers 1 & 2

Algebra for Middle School Teachers

Number Theory for Middle School Teachers

Teaching Arithmetic, Algebra, and Functions from an Advanced Perspective

Teaching Geometry, Probability & Statistics, and Discrete Mathematics from an Advanced Perspective

Advanced Studies in Teaching Algebra

Advanced Studies in Teaching Geometry

Advanced Studies in Teaching Probability & Statistics

Advanced Studies in Teaching Discrete Mathematics

Technology in Mathematics Education (as a special topic or seminar course)

#### Community Engagement Activities

Governing Board, Benjamin Carson High School of Science & Medecine

#### Grants

Project IMPRINT (Improving Proportional Reasoning using Engineering Tasks)

2013 - 2016

Project MEDeATe: Mathematics Education for Detroit Area Teachers

2013 - 2014

Mathematics Instruction using Decision Science and Engineering Tools (MINDSET)

2007 - 2013

Project MINDSET is developing a curriculum and supporting textbook for a fourth-year high school course in applied mathematics. The course builds on school mathematics through Algebra 2, and is applications-based and problem-driven. All of the problem contexts are real-world problems drawn from the fields of industrial engineering and operations research.

Human Factors in Space Exploration

2008 - 2009

#### Awards & Honors

2003

Wayne State University 2003-2004 Career Development Chair Award

#### Presentations

Ready to Run a Business? Linking LEGO and Algebra

Edwards, T.G., Özgün-Koca, S. A. & Chelst, K. R. 4 2016 94th Annual Meeting of the National Council of Teachers of Mathematics

Model with mathematics comes to life vial real-world contexts.

*Edwards, T. G.* 3 2015 Conversations Among Colleagues

Using binomial and geometric distributions to make real-world decisions

Chelst, K. R. & *Edwards, T. G.* 4 2015 93rd Annual Meeting of the National Council of Teachers of Mathematics

Exercise Big Mac away: Ratios, rates, and proportions in context

Özgün-Koca, S. A. & *Edwards, T. G.* 4 2015 93rd Annual Meeting of the National Council of Teachers of Mathematics

When will we ever use this? How to get the task right

Chelst, K.R., *Edwards, T. G.*, & Wilhelm, T. 4 2015 Minnesota Council of Teachers of Mathematics, Ross Taylor Symposium for Mathematics Education and Leadership

Does this line ever move? Use polynomials to find out!

Chelst, K., *Edwards, T.G.* & Özgün-Koca, S. A. 4 2014 92nd Annual Meeting of the National Council of Teachers of Mathematics

“What if?” questions in real world contexts: Sensitivity analysis

*Edwards, T. G.*, Özgün-Koca, S. A., & Chelst, K. R. 4 2014 92nd Annual Meeting of the National Council of Teachers of Mathematics

How many to order: Controlling inventory

*Edwards, T. G.*, Ozgun-Koca, S. A., & Chelst, K. R. 4 2013 91st Annual Meeting of the National Council of Teachers of Mathematics

GeoGebra and Solver Software for Solving Mathematical Programming Problems

Edwards, T. G. 5 2013 Third International Conference on the Mathematical Sciences, University of Buea, Cameroon

Unpacking our knowledge: Ratios, rates and percentages in context

*Edwards, T. G.*, & Özgün-Koca, S. A 3 2013 Conversations Among Colleagues

A students' reach should exceed her grasp, or what's technology for?

*Edwards, T. G.* & Ozgun-Koca, S. A. 11 2012 34th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education

Trees bloom decisions when cultivated with probability and expected value

*Edwards, T. G.* & Ozgun-Koca, S. A. 4 2012 90th Annual Meeting of the National Council of Teachers of Mathematics

Think outside the box: Multiple, linked representations and boxplots

Ozgun-Koca, S. A. & *Edwards, T. G.* 4 2012 90th Annual Meeting of the National Council of Teachers of Mathematics

Using technology to support understanding in a high poverty school

*Edwards, T. G.* & Ozgun-Koca, S. A. 3 2012 1st Annual Wayne State University College of Education Poverty Conference and Symposium

Studying the quadratic function: A historical and technological perspective

Edwards, T. G. & Ozgun-Koca, S. A. 2011 89th Annual Meeting of the National Council of Teachers of Mathematics

Fostering TPACK development in pre-service middle school mathematics teachers

Edwards, T. G. & Ozgun-Koca, S. A. 2011 15th Annual Conference of the Association of Mathematics Teacher Educators

Tale of two cities: Complementary or opposing views of students and teachers

Ozgun-Koca, S. A. & Edwards, T. G. 2011 Annual Fall Conference of the School Science and Mathematics Association

Project MINDSET

Chelst, K.R. & Edwards, T. G. 2011 Conference for the International Federation of Operational Research Societies

The effects of multiple linked representations: An analysis of clinical interviews

Edwards, T. G. & Ozgun-Koca, S. A. 2011 Annual Fall Conference of the School Science and Mathematics Association

Fostering beliefs and views of pre-service middle school mathematics teachers about technology

*Edwards, T. G.* & Ozgun-Koca, S. A. 10 2011 33rd Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education

A comparison of pre-service and in-service teachers beliefs about TI-Nspire following an initial experience

Edwards, T. G. & Ozgun-Koca, S. A. 2010 14th Annual Conference of the Association of Mathematics Teacher Educators

Using TI-Nspire to discover the corner point principle

Edwards, T. G. & Ozgun-Koca, S. A. 2010 88th Annual Meeting of the National Council of Teachers of Mathematics

The analysis of mathematics teachers' and students' initial experiences with and views on the new generation of graphing calculator

Edwards, T. G. & Ozgun-Koca, S. A. 2009 13th Annual Conference of the Association of Mathematics Teacher Educators

Learning about regression with real and virtual spaghetti

Edwards, T. G. & Ozgun-Koca, S. A. 2009 the 87th Annual Meeting of the National Council of Teachers of Mathematics

A comparison of mathematics teachers' and students' views on the new generation handheld technology

Ozgun-Koca, S. A. & *Edwards, T. G.* 9 2009 31st Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education

#### Publications

Interpretations of box plots: Helping middle school students to see outside the box

Edwards, T. G. & Özgün-Koca, S. A. 2017 Journal of Statistics Education 25(1)

From percentages to algebra: Using authentic problem contexts

Chelst, K. R., Edwards, T. G., Ferry, D., & Srock, M. 2017 Applied Mathematical Practices

Linking LEGO and algebra

Özgün-Koca, S. A., *Edwards, T. G.* & Chelst, K. R. 2015 Mathematics Teaching in the Middle School 20(7)

Linear programming in the classroom using GeoGebra

*Edwards, T. G.* & Chelst, K. R. 5 2015 Mathematics Teaching 246

Investigating integer restrictions in linear programming

*Edwards, T. G.*, Chelst, K. R., Principato, A., & Wilhelm, T. 2015 Mathematics Teacher 109(2)

When will I ever use this? Deterministic Modeling

*Edwards, T. G. & Chelst, K. R.* 2015 Applied Mathematical Practices

Students' mathematical conjectures when interacting with a mobile device

Özgün-Koja, S. A. & Edwards, T. G. 2 2015 In Traxler & Crompton (Eds.), Mobile learning and mathematics: Foundations, design and case studies

When will I ever use this?: Probabilistic Modeling

Chelst, K. R. & Edwards, T.G. 2015 Applied Mathematical Practices

Linear programming with several decision variables

*Edwards, T. G.* & Chelst, K. R. 2014 Mathematics Teacher 108(1)

Media clips: Proportions! Proportions!

*Edwards, T. G.* & Özgün-Koca, S. A. 2014 Mathematics Teacher 107(8)

Rethinking ratios, rates, and percentages

Chelst, K. R., Özgün-Koca, S. A., & *Edwards, T. G.* 5 2014 Mathematics Teaching 240

Controlling inventory: Real world mathematical modeling

*Edwards, T. G.*, Ozgun-Koca, S. A., & Chelst, K. R. 2013 Mathematics Teacher 107(1)

Exercise away the Big Mac: Ratios, rates, and proportions in context

Ozgun-Koca, S. A., *Edwards, T. G.*, & Chelst, K. R. 2013 Mathematics Teaching in the Middle School 19(3)

Developing authentic real world problems

*Edwards, T. G.*, Ozgun-Koca, S. A., & Chelst, K. R. 2013 Mathematics in Michigan 46(2)

Interpreting boxplots with multiple linked representations

Ozgun-Koca, S. A. & *Edwards, T. G.* 2013 Mathematics Teaching in the Middle School 18(8)

Using clinical interviews to understand students' learning processes in a technological environment

Ozgun-Koca, S. A., *Edwards, T. G.* 2013 Proceedings of the 35th Annual Conference of PME-NA

Early O.R. education

Chelst, K. & *Edwards, T.* 2012 OR/MS Today 39(4)

A students' reach should exceed her grasp, or what's technology for?

*Edwards, T. G.* & Ozgun-Koca, S. A. 2012 Proceedings of the 34th Annual Conference of PME-NA

Virtual data collection for real understanding

Ozgun-Koca, S. A, & *Edwards, T. G.* 2011 Mathematics Teaching in the Middle School 16(6)

Influences of Constructivist - Oriented Nutrition Education on Urban Middle School Students' Nutrition Knowledge, Self-Efficacy and Behaviors.

McCaughtry, N., Fahlman, MM., Martin, J., and Shen, B. 2011 American Journal of Health Education. 42

Hands-on, minds-on or both? A discussion of the development of a mathematics activity by using virtual and physical manipulatives

Ozgun-Koca, S. A. & Edwards, T. G. 2011 Journal of Computers in Mathematics and Science Teaching 30(4)

Studying the quadratic function from a to c: An historical perspective.

*Edwards, T. G.* & Ozgun-Koca, S.A. 2010 Mathematics Teaching in the Middle School 15(8)

Drawing a regression line between spaghetti and basketball?

Ozgun-Koca, S. A. & *Edwards, T. G.* 2010 Mathematics Teaching in the Middle School 16(1)

Using TI-Nspire to enhance the teaching of a geometric theorem

*Edwards, T. G.* & Ozgun-Koca, S.A. 2010 Journal of the Research Center for Educational Technology 6(2)

When will I ever use this stuff?

Chelst, K., *Edwards , T.*, Young, R., Keene, K., Norwood, K. & Pugalee, D. 2010 OR/MS Today 37(4)

Creating a mathematical "B" Movie: The effect of b on the graph of a quadratic

*Edwards, T. G.* & Ozgun-Koca, S. A. 2009 Mathematics Teacher 103(3)

Using the ancient method of false position to find solutions

*Edwards, T. G.* 2008 Mathematics Teaching in the Middle School 14(4)

The new generation of handheld calculators: Can your students "Bend it like Beckham?"

Ozgun-Koca, S. A. & *Edwards, T. G.* 2008 Mathematics Teacher 102(1)

Pre-service teachers' reflections on the new generation of learning handhelds

Ozgun-Koca, S. A. & *Edwards, T. G.* 8 2008 TI Newsletter: MTE-online

Project MINDSET: High School Mathematics and Operations Research

Chelst, K., *Edwards , T.*, Young, R., Keene, K., & Royster, D. 2008 TutORials in Operations Research 2008

Purchasing a used car using multiple criteria decision-making

*Edwards, T.G.* & Chelst. K.R. 2007 Mathematics Teacher 101(2)

Using ancient Egyptian fractions to review fraction concepts

*Edwards, T. G.* 2005 Mathematics Teaching in the Middle School 10(5)

Does this line ever move? Everyday applications of operations research.

Chelst, K. R. & *Edwards, T. G.* 2005 .

Sets of sets: A cognitive obstacle

Brenton, L. & *Edwards, T. G.* 2003 College Mathematics Journal 34(1)

Queueing theory: A rational approach to the problem of waiting in line

*Edwards, T. G.* & Chelst, K. R. 2002 Mathematics Teacher 95(5)