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.

"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 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 
"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 
"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 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 
"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 
"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 
"As a homeschooling mom I can tell you EMF is our favorite curriculum — challenging and interesting!"Michelle Unger
EMF Parent 
"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 
"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 
"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 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 
"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 
"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 excellent reading skills 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.