About the authors

Gregory D. Foley
Greg Foley received BA and MA degrees in mathematics and a PhD in mathematics education from the University of Texas at Austin. He is the Robert L. Morton Professor of Mathematics Education at Ohio University. Foley has taught elementary arithmetic through graduate-level mathematics, as well as undergraduate- and graduate-level mathematics education classes. He has held full-time faculty positions at North Harris County College, Austin Community College, Ohio State University, Sam Houston State University, and Appalachian State University, and served as Director of the Liberal Arts and Science Academy and as Senior Scientist for Secondary School Mathematics Improvement for the Austin Independent School District in Austin, Texas. Dr. Foley has presented over 400 lectures, workshops, and institutes throughout the United States and internationally, has directed or codirected more than 60 funded projects totaling some $5 million, and has published over 70 scholarly works. Foley is a national instructor for Teachers Teaching with Technology. In 1998, he received the American Mathematical Association of Two-Year Colleges Award for Mathematics Excellence; in 2005, the Teachers Teaching with Technology Leadership Award; and in 2015, the Ohio Council of Teachers of Mathematics Kenneth Cummins Award for exemplary mathematics teaching at the university level. Dr. Foley coauthors Precalculus: Graphical, Numerical, and Algebraic.

Thomas R. Butts
A disciple of George Pólya, the father of modern mathematical problem solving, Tom Butts received a BA in mathematics from Knox College and MS and PhD degrees in mathematics from Michigan State University. Now Professor Emeritus of Mathematics Education at the University of Texas at Dallas, Dr. Butts also held positions at Ohio State University, Case Western Reserve University, and Michigan State University. A member of the author team for a K–8 series, a high school series on integrated mathematics, and a college textbook on intermediate algebra, his first book was Problem Solving in Mathematics in 1973. He has given many presentations and talks on various aspects of questioning and problem solving and has written numerous articles and activities for teachers and students. An advocate of mathematical competitions since participating in them as a student, Butts has written for several competitions such as MATHCOUNTS and continues to write and critique problems for the American Mathematical Competitions.

Stephen W. Phelps
Steve Phelps received BS and MAT degrees from the University of Cincinnati. He has taught since 1992 at Madeira High School in Cincinnati and has been a mathematics instructor at the University of Cincinnati since 2004. He speaks regularly at state, national, and international mathematics and mathematics education conferences on the role of technology in mathematics education, particularly the role of dynamic mathematics and computer algebra systems. In addition to hosting monthly mathematics technology user group meetings for teachers in southwestern Ohio, he is one of the organizers of the Cincinnati Math Teacher Circle, a cofounder of the GeoGebra Institute of Ohio, and a national instructor for Teachers Teaching with Technology. In 2016, he received the Ohio Council of Teachers of Mathematics Buck Martin Award for exemplary mathematics teaching at the secondary level.

Daniel A. Showalter
Dan Showalter received a BS degree in mathematics from Urbana University, an MS degree in mathematics from Ohio University, and a PhD degree in mathematics education from Ohio University. Dr. Showalter is Assistant Professor in the Department of Mathematical Sciences at Eastern Mennonite University in Harrisonburg, Virginia, where he teaches mathematics, statistics, mathematics education, and computer science courses. Showalter has taught in K–12 and postsecondary institutions domestically, as well as in South Korea and Laos. In 2010, he received the Graduate Associate Outstanding Teaching Award from Ohio University. Showalter has published on the intersection of mathematics and fields such as place-based education, music, East Asia, online social networks, and failure. As a quantitative analyst, Dr. Showalter works with a national nonprofit organization to address issues of poverty in education, with a focus on schools in rural areas.