Elements of Mathematics: Foundations (EMF) is an online, proofbased curriculum for mathematically talented students.
EMF covers PreAlgebra, Algebra, Geometry, Precalculus and beyond, including thorough introductions to Abstract Algebra, Logic, Set Theory, Number Theory and Topology.

"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 
"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 selfstudy, it has the oneonone 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 nonstandard 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 selfstudy 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.
Read reviews on the Davidson Institute website.