online Custom Math Tutoring
ANCIENT SUBJECT — modern tools
“The task of the modern educator is not to cut down jungles but to irrigate deserts. The right defense against false sentiments is to inculcate just sentiments.”
“The task of the modern educator is not to cut down jungles but to irrigate deserts. The right defense against false sentiments is to inculcate just sentiments.”
My name is Reid Davis, and I offer online custom math tutoring. I work primarily with high school students (whether homeschooled or attending public or private schools) and university undergraduates, but I am happy to tutor students at any level. My qualifications include a doctorate in mathematics, thirty-three years teaching college and university students, twenty-five homeschooling my own children, one teaching middle schoolers at a charming Montessori school, five working as a private tutor, and some talent (I am told) for explaining difficult topics. I have taught many of the undergraduate courses that a university math department would typically offer, including all (algebra, geometry, precalculus, calculus, and statistics) that overlap the high school curriculum—in addition to undergraduate and graduate math courses for teachers of all grades. For details please see my resumé and my students’ comments below.
Thus, in God’s providence I have spent a preposterously large part of my life helping students understand math. It is work that I love and enjoy. Decades of study and teaching, both in the classroom and one-on-one, have taught me to understand not only the mathematics itself but also my students’ struggles with it—the mistakes they make, the misconceptions they develop, the topics they fear, the topics that confuse them—enabling me to guide them in making sense of it. I tailor my tutoring to my students, attending to both the big picture (e.g., maintaining the right pace to finish the required material for the week, month, or year) and the details (e.g., keeping tabs on how well my students grasp each new concept).
This facilitates my providing flexible, capable instruction to students in a wide variety of circumstances. I can work with any textbook or none at all, meet with a single student or a group, and provide an emergency help session before tomorrow’s exam or design and teach a course from scratch.
During the pandemic I moved all my tutoring online, drawing on my experience designing online math classes at the University of Tennessee and the University of the Cumberlands. Afterward I continued tutoring online, finding that its convenience—for both student and tutor—outweighs its drawbacks. Armed with high-speed Internet, a fast laptop, a second monitor, a graphics tablet, good headphones, a 1080p webcam, and subscriptions to Zoom (video conferencing) and BitPaper (a collaborative online whiteboard), I can teach you math in a manner that is effective and pleasant. My students seem to like the results!
If you are interested or have questions, please get in touch. I will gladly set up a free introductory meeting to show you how my online setup works!
Thank you for stopping by. I look forward to hearing from you.
Individual Students: $80 per hour
Groups: Discounts available
New Students (first lesson): 50% off
Established Students (beginning with the seventh session): $5 off per hour
Local Students (from East Tennessee, more or less): $5 off per hour
SMHEA (Smoky Mountain Home Education Association) members: $5 off per hour
At some families’ requests I have provided tutoring in chemistry and ACT prep. I can offer other services as well—designing or teaching courses for groups of homeschool students, providing enrichment instruction for strong math students, grading tests and homework, giving guest lectures on math history, or consulting with graduate students about mathematical aspects of their research. The price will reflect the nature and scope of the work.
Please call or text (865) 951-4024, email rdtutor@outlook.com, or use the form below.
Reid Davis, Knoxville, Tennessee
(865) 951-4024, rdtutor@outlook.com
Ph.D. in mathematics, University of Tennessee, Knoxville, 1991. Dissertation: Covers, q-Binomial Series, and q-Lattices
Fulbright Scholar in mathematics, Universität Bielefeld, (West) Germany, 1982–1983
B.A. in mathematics and German, University of Tennessee, Knoxville 1982
Private Math Tutor, self employed as RD Tutor, March 2019 to the present
Adolescent Community Math Specialist (Middle School Math), Nature’s Way Montessori School, Knoxville, Tennessee, part-time, July 2019 to June 2020
Associate Professor of Mathematics, University of the Cumberlands, Williamsburg, Kentucky, 2004–2018
Assistant Professor and Outreach Mathematician, University of Tennessee, Knoxville, 2000–2004
Instructor of Mathematics, University of Tennessee, Knoxville, 1996–2000
Visiting Assistant Professor of Mathematics, Maryville College, Maryville, Tennessee, 1995–1996
Instructor of Mathematics, University of Tennessee, Knoxville, 1992–1995,
Assistant Professor and Acting Head, Department of Mathematics, Physics, and Computer Science, Knoxville College, Knoxville, Tennessee, 1991–1992
Graduate Teaching Assistant/Associate, University of Tennessee, Knoxville, 1985–1991
Undergraduate Courses Overlapping the High School Curriculum
College Mathematics
College Algebra
Algebraic Reasoning (via financial mathematics)
Precalculus
Introductory Statistics
Calculus I and II
Undergraduate Courses for Teachers
Structure of the Number System
Probability, Statistics, and Euclidean Geometry
Geometry for the Elementary and Middle School Teacher
Graduate Courses for Teachers (in UT’s M.M. Program)
Discrete Mathematics for Teachers
Analysis for Teachers (Calculus)
Probability and Statistics for Teachers
Advanced Discrete Mathematics for Teachers
Undergraduate Courses for Math Majors
Calculus III
Linear Algebra
Discrete Mathematics
Introduction to Abstract Mathematics (proofs)
Probability and Statistics
College Geometry
History of Mathematics
Combinatorics
Number Theory
Online Courses (I pioneered teaching these courses online for the University of Tennessee and the University of the Cumberlands)
College Mathematics
History of Mathematics
Discrete Mathematics for Teachers
Probability and Statistics for Teachers
To promote good instruction, universities typically solicit students’ evaluations of their professors’ teaching. They often encourage candid responses by using anonymous surveys and reporting the results to professors only after they have submitted grades each term. Below I have listed a few of my students’ comments on such surveys from recent semesters.
“Very good professor. I have never really understood math or calculus well, but he was able to teach the subject matter in a manner that was understandable and I actually learned the material and have been successful on tests and exams.”
“The class was very structured. The syllabus let me know exactly what was going to be expected of me. Dr. Davis is extremely welcoming. He made every student know that they were welcome to ask questions and that his office door was always open. I’ve really enjoyed this class. Dr. Davis is an absolutely wonderful teacher. I hope that I can, eventually, teach with the kind of clarity and faith that he does.”
“Dr. Davis is an outstanding teacher. He taught my calculus class effectively and clearly. It takes a gifted teacher to be able to teach math, especially calculus, clearly to all students. If a student had a question, he would take the time to thoroughly explain the solution. His door was always open to his students.”