For mathematically talented minds
Proof-based math for creative thinkers

Course 1 FREE! Enroll today!

About EMF

Elements of Mathematics: Foundations (EMF) is a complete secondary school online curriculum for mathematically talented students that uses a foundation of discrete mathematics to launch students into modern proof-based mathematics.

EMF Math students succeed in the traditional American sequence of Pre-Algebra, Algebra, Geometry, and Precalculus but with deeper understanding.

Learn about the EMF
Modules and Supplements
Listen to a recommendation from a
School Chief Academic Officer
  • "I cannot even imagine what my life would have been like without having seen the beauty of mathematics through EMF."
    Vievie Romanelli
    EMF Student
  • "My son cannot stop talking about the mathematical ideas he is learning. He is choosing to do EMF over Minecraft!"
    Nan Rosenberry
    EMF Parent
  • "I just started Harvard's Calc 3 class, and most of the first two weeks' homework is content that I have already done in EMF – so EMF definitely prepared me well."
    Thomas Ferguson
    EMF Alumni, Harvard undergraduate
  • "EMF is a way of looking at everything that you took for granted in earlier years, and proving them to make them more detailed and complete."
    Ian Gonzalez
    EMF Student
  • "EMF provides an avenue for children to stretch themselves mathematically. The feeling of accomplishment our daughter has received bolstered her confidence and has her ready for whatever comes her way."
    Matt and Amy Kaufman
    EMF Parents
  • "EMF has increased my ability to write proofs and my mathematical skill overall. It has some of the most interesting mathematical concepts I have ever seen."
    Albert Wang
    EMF Student
  • "Now that I have completed EMF, I can attest to their claim that their students will be ready to take calculus. I am currently about half way through AP Calculus BC and am having no problem at all with the material."
    Alexander Yue
    EMF Student
  • "My son comes home excited to see what is next in EMF. He absolutely wants to excel at everything now that he has seen how much fun it can be to learn."
    Wendy Diaz
    EMF Parent
  • "The content and the pedagogy are of the highest quality and I recommend it without reservation."
    Professor Emeritus Gerald R. Rising
    State University of New York at Buffalo
  • "As a homeschooling mom I can tell you EMF is our favorite curriculum — challenging and interesting!"
    Michelle Unger
    EMF Parent
  • "EMF is a tough program, but it pays off. I learned how to prove concepts, and I learned to work harder and on a schedule."
    Andrei Chekmasov
    EMF Student
  • "The days of learning math by repetition are a thing of the past. Although the EMF program is self-study, it has the one-on-one feeling of having an instructor and at a very fair price. As a parent I give EMF an A+."
    Jorge Sardinas
    EMF Parent
  • "After doing EMF, I not only understand how to use formulas but I can actually prove them. This program changed me from a girl who loved math into a real mathematician."
    Skylar Gamberg
    EMF Student
  • "EMF is definitely the course for students with a thirst for mathematical knowledge."
    Luke Freed
    EMF Student
  • "My son thought he did not like mathematics till he started EMF. Now, it is his most favorite subject. EMF has helped him gain confidence, develop discipline, and encourage his younger sister to appreciate mathematical thinking."
    Poornima Meenakshisundaram
    EMF Parent
  • "If you're good at math but could sleep through math class because you find it boring, EMF is awesome and will actually keep you awake."
    Isabella Yeung
    EMF Student
  • "Before EMF, my daughter was frustrated that her math class was not interesting, challenging or engaging enough. Since EMF, she has completely changed her perspective on math. I'm sure she couldn't imagine taking any other course."
    Rachel Danzig
    EMF Parent
  • "EMF does more than teach; it inspires. Using the ideas I learned from EMF, I was able to show the students I tutor that math is truly fun!"
    Hossain Turjo
    EMF Student
  • "My son is not afraid to tackle any problem because he has been taught through EMF to think and reason through a problem instead of relying on memorized formulas."
    Karen Price
    EMF Parent
  • "EMF allows students to avoid the trap of believing that math is nothing but problems to solve with rules and a calculator."
    Corbin Diaz
    EMF Student
  • "EMF is way more exciting than other math programs and keeps you on your toes. I enjoy it even when it takes a really long time to solve the hardest problems."
    Imaan Nanji
    EMF Student
  • "As a homeschooler, our son is an avid user of online educational resources. I recently asked him to pick his favorite online course. He answered, 'most definitely EMF, by a wide margin'."
    Arvinder Oswal
    EMF Parent
  • "EMF is challenging in a good way — like a puzzle. You're working hard, improving your mind, and still having fun!"
    Grace Hancock
    EMF Student
  • "EMF teaches very advanced mathematical concepts, yet the presentation and problem sets are designed in a way that allows middle school kids to learn the material online."
    Maxim Chekmasov, Ph.D.
    EMF Parent
  • "I was taking a practice test for the timed AMC8 exam when I came across a problem involving non-standard mathematics. Thanks to EMF, I was already familiar with these ideas and solved the problem a lot faster."
    Peyton Robertson
    EMF Student
  • "There is no doubt that the Elements of Mathematics curriculum gave me the logical thinking skills and mental framework that inspired and enabled me to develop the Chocolate Fix puzzle system."
    Mark Engelberg
    Inventor of ThinkFun's Chocolate Fix logic game

EMF's self-study format requires fluent reading skills at 8th grade level or above and solid executive functioning skills in addition to mathematical talent. The program tends to fit motivated and mature students ages 10 and older.

Free Aptitude Test!

Not sure if your child is ready for EMF? Have your child take the EMF Aptitude Test!

This online test is designed to gauge thinking skills and maturity, not knowledge; thus the questions are a series of increasingly challenging puzzles. Students are not expected to complete all the puzzles.

Scores are based on answers submitted during the first 30 minutes, but students may work on the puzzles as long as they like. Actual EMF course tests are not timed.


When you are ready to enroll your child for the first time in EMF, choose an option below.

Note 1: The first course, Operational Systems is currently free to give students an opportunity to be academically challenged and experience the quality of an EMF education at no cost. The enrollment period for the first course is 30 days, which is sufficient for most students. Click the first option below to take advantage of this opportunity.

Note 2: Students aged 6–10 may benefit from the Institute's Mathematics Enrichment classes prior to enrolling in EMF. These classes teach the logical tools that are required for sustained success in the EMF program.

Parents of continuing students should log in to their child's EMF account to enroll in the next course or purchase an extension.

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