Precalculus: Graphical, Numerical, Algebraic AP Edition 11e Authors

Franklin D. Demana & Bert K. Waits

We dedicate this textbook to the memory of our distinguished colleagues, close friends, and visionary coauthors Frank Demana (1938–2021)and Bert Waits (1940–2014).

Frank and Bert were true giants in mathematics education. With their passing, the mathematics community has lost two dynamic leaders who dedicated their careers to students learning through the Power of Visualization. For more than three decades, Professors Frank Demana and Bert Waits were colleagues in the Department of Mathematics at The Ohio State University.

Their close collaboration began in 1985 with the Calculator and Computer PreCalculus (C2PC) project, during which they taught in Columbus-area high schools to pilot test the preliminary edition of this textbook. The associated teacher workshops across the nation led Drs. Demana and Waits to cofound the international Teachers Teaching with Technology (T3) professional development program. To support their work, they directed or codirected more than $10 million of National Science Foundation (NSF) and other sponsored projects. Along with frequent presentations at professional meetings, Frank and Bert published a variety of articles in the areas of computer- and calculator-enhanced mathematics instruction. Drs. Demana and Waits cofounded the annual International Conference on Technology in Collegiate Mathematics (ICTCM).

For their collective collaborative contributions to mathematics teaching and learning, Drs. Demana and Waits became the co-recipients of three major awards for lifetime achievement:

  • the 1997 Glenn Gilbert National Leadership Award presented by the National Council of Supervisors of Mathematics (NCSM),
  • the 1998 Christofferson-Fawcett Mathematics Education Award presented by the Ohio Council of Teachers of Mathematics (OCTM), and
  • the 2015 National Council of Teachers of Mathematics (NCTM) Lifetime Achievement Award.

May they rest in peace, and may the Power of Visualization,
which they passionately promoted, live on!


Gregory D. Foley  

Greg Foley received B.A. and M.A. degrees in mathematics and a Ph.D. in mathematics education from The University of Texas at Austin. He is the Robert L. Morton Professor of Mathematics Education at Ohio University. Greg 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, The 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. 

Greg has presented over 500 lectures, workshops, and institutes around the world and has directed or codirected more than 60 funded projects totaling over $5 million. He has published over 50 book chapters and journal articles. At Ohio University, Greg has received Patton College awards for distinguished graduate teaching in 2013, mentoring in 2019, and outreach in 2020. In addition, he received the American Mathematical Association of Two-Year Colleges (AMATYC) Award for Mathematics Excellence in 1998, the Teachers Teaching with Technology T3 Leadership Award in 2013, and the Ohio Council of Teachers of Mathematics (OCTM) Kenneth Cummins Award for exemplary mathematics teaching at the university level in 2015 and Christofferson-Fawcett Award for lifetime contributions to mathematics education in 2022. 

Greg coauthored Precalculus: A Graphing Approach; Precalculus: Functions and Graphs; and Advanced Quantitative Reasoning: Mathematics for the World Around Us.  

Daniel Kennedy  

Dan Kennedy received his undergraduate degree at the College of the Holy Cross in 1968 and went on to earn a master’s degree and Ph.D. in mathematics from the University of North Carolina at Chapel Hill. From 1973 until his retirement in 2019 he taught mathematics at the Baylor School in Chattanooga, Tennessee, where he held the Cartter Lupton Distinguished Professorship. Although retired from the classroom, he continues his involvement with Baylor as the “Voice of the Red Raiders” for announcing home games in basketball, football, and softball. 

Dan became an Advanced Placement Calculus reader in 1978, which led to an increasing level of involvement with the AP program as workshop consultant, table leader, and exam leader. He joined the AP® Calculus Test Development Committee in 1986, then in 1990 became the first high school teacher in 35 years to chair that committee. Dan was named a Tandy Technology Scholar in 1992 and a Presidential Award winner in 1995. He has served on the executive committee of the Mathematical Sciences Education Board and on the Board of Governors of the Mathematical Association of America. His articles on mathematics and education reform have appeared in  the Mathematics Teacher, the American Mathematical Monthly, and the College Mathematics Journal. 

Dan coauthored Calculus: Graphical, Numerical, Algebraic.  He is also a series author of the Savvas Envision A/G/A high school series in Algebra I, Geometry, and Algebra II. 

Rachael Gorsuch

Rachael Gorsuch is currently teaching mathematics in grades 9–12 at Teays Valley High School in Ashville, Ohio. With more than 17 years of teaching experience in a rural public school, suburban independent school, and inner-city charter school, Rachael has a passion for helping students engage with mathematics through modeling and technology. She has taught grades 7–12, including precalculus, AP® Statistics, quantitative reasoning, algebra 2, geometry, algebra 1, physics, and middle school math. Rachael received her B.S. degree in mathematics from Muskingum University and her M.A.T. degree in STEM education from The Ohio State University.

Rachael has partnered with several researchers from universities on mathematics education research, particularly in the field of teaching mathematical modeling. She has steadily been presenting on mathematical modeling and technology at conferences and delivering workshops since 2012. Rachael was the 2019 recipient of the Ohio Council of Teachers of Mathematics’ Buck Martin Award for exemplary secondary mathematics teaching and recipient of Muskingum University’s Emerging Leader Award for Social Responsibility in 2018. She is a Teachers Teaching with Technology Regional Instructor.

Rachael coauthored Ohio’s Mathematical Modeling and Reasoning course for the Ohio Department of Education.

Steve Phelps

Steve Phelps—a long-time secondary teacher and K–12 instructional technology coach in southwest Ohio—is currently serving as a mathematics and computer science teacher as well as an instructional mathematics coach and instructional technology coach for Mariemont City Schools in Cincinnati, Ohio. He received his B.S. degree in secondary mathematics education and his M.A.T. degree from the University of Cincinnati. Steve has more than 30 years of classroom teaching experience in grades 7–12, teaching everything from pre-algebra through AP courses including Calculus, Statistics, Computer Science, and Computer Science Principles. He also has over 15 years of experience in teaching education and mathematics courses at the University of Cincinnati and at the University of Cincinnati’s Blue Ash College.

Steve has authored or co-authored over 20 journal articles and has delivered over 100 presentations and workshops, typically on the topic of the intelligent use of educational technology in mathematics. He was the 2016 recipient of the Ohio Council of Teachers of Mathematics’ Buck Martin Award for exemplary secondary mathematics teaching. Steve is a Teacher’s Teaching with Technology National Instructor, a facilitator, a Desmos Teaching Fellow, and a GeoGebra author.

Steve coauthored Advanced Quantitative Reasoning: Mathematics for the World Around Us.