Enrichment Courses

Math Eenrichment Services
Courses: Summer 2018

Registration for the 2018 Summer Courses is now open.

Classes will remain open until filled by qualified students.

Math Reasoning
Advanced Problem Solving
Mentoring and Tutoring

Course Registration Form

Print and complete a registration form. Mail it along
with a check for the tuition fee to:
Math Enrichment Services
1200 Kensington Road
Mclean, VA 22101
You may submit the registration information online and
make a secure credit card payment using PayPal. A PayPal invoice will be sent to you via email after the form is submitted.

Registration FormWord Format - Allows you to fill out the form and then print it.


Register Online

If we approve your submission, we will email you a PayPal invoice that you can pay securely on line by credit card.


Registration for the 2018 Summer Mathreasoning Course is now open. Classes will remain  open until filled by qualified students.

Session I : July 9 – July 20 (9 AM - 12 noon) 
Session II : July 23 – August 3 (9 AM – 12 noon)

Instructor: Vern Williams  Sessions I & II


Class Size: 15-18 students
Place: George Mason High School
7124 Leesburg Pike
Falls Church, VA 22043


This course is for rising seventh and eighth graders who are able to grasp abstract and complicated mathematical concepts at a very fast pace. Younger students with exceptional mathematical ability and backgrounds may enroll with special permission. Material covered will include topics from number theory, Euclidian and non-Euclidian geometries, Picks Theorem, Herons Formula, Mathematical proof, transcendental real numbers such as "e" and "pi" , derivation and use of the square root algorithm, unitary divisors, permutations and combinations, derivation and use of summation formulas, and RSA coding. In addition, students will develop new techniques and short cuts for solving both routine and difficult math problems taken from Mathcounts, AMC8, and other middle and high school contests.

Students who qualify for programs such as CTY (Johns Hopkins Center for Talented Youth) or EPGY (Stanford’s Education Program for Gifted Youth) should have an excellent experience taking this course. An AMC 8 score of 15 or higher should also serve as a good predictor of success in the course. If a student has not taken the AMC 8 contest (40 minutes for 25 problems, no calculator), previously given ones can be found on the Art of Problem Solving website at: (http://www.artofproblemsolving.com/Wiki/index.php/AMC_8_Problems_and_Solutions. Of course if a student is a member of his/her school Mathcounts team, this indeed serves as an excellent predictor of success in the Math Reasoning course.


Registration for the Summer 2018 Advanced Problem Solving class is now open. Classes will remain open until filled by qualified students .

July 23 - August 3 (1 PM – 4 PM)               
Instructor: Vern Williams. Theo Faust, and visiting instructors. 

Class Size: We will have two levels and will assign 12-15 students to each class.  
Place: George Mason High School
7124 Leesburg Pike 
Falls Church, VA 22043


This course is mainly for rising eighth, ninth, and tenth graders who would like to prepare for high school math contests such as the AMC10, AMC12, ARML, the American invitational Mathematics Exam and USAMO. Problems will be selected from a variety of sources and problem solving techniques will be developed and applied. Other topics of interest, such as advanced number theory, combinatorics, and advanced topics from geometry will be discussed. The student should have the ability to reason abstractly and the desire to solve challenging problems in order to be successful in this course. We are planning to have two levels of APS.

Students who have successfully completed the Math Reasoning course and/or math courses from CTY (Johns Hopkins Center for Talented Youth) or Stanford’s Education Program for Gifted Youth (EPGY) should have an excellent experience taking this course. Acceptance to programs such as MathPath as well as a score of 90 or above on the AMC10/12 also serves an excellent predictor of success in this course. Even though we will have two levels of APS, the entry level section will be quite rigorous. Students will be assigned to their respective section based on their mathematics course background and problem solving experience.



I provide a limited amount of mentoring during the school year on an individual or small group basis. I may expand this service in the near future but currently my schedule only allows for two small groups (5th & 8th grades) and four individual students. For information regarding openings and fees, please contact me (link to contact page) at vernwilliams@mathreasoning.com


I have advised educational establishments such as The College Board (www.collegeboard.org/) and Achieve, Inc.(www.achieve.org) on various issues involving curriculum and testing. I also advise parents on dealing with school and classroom issues involving curriculum for gifted students. Fees are generally $100 - $130 per hour.