Middle School

1. Texas Mathworks Junior Summer Math Camp
2. AwesomeMath Summer Program
3. Mathematics and Related Sciences (MARS) Camp
4. MathPath
5. Duke University
6. Canada/US MathCamp

High School

1. Texas Mathworks Honors Summer Math Camp
2. ROSS Mathematics Program
3. Program in Mathematics for Young Scientists (PROMYS)
4. AwesomeMath Summer Program
5. Canada/US MathCamp
6. Mathematics and Related Sciences (MARS) Camp
7. SummerMath (for Girls)
8. MathPath
9. Duke University (Through grade 10)
10. Hampsire College Summer Studies in Mathematics (HSCCiM)
11. Summer Mathematics Research Training High School Camp (SMaRT), Texas A&M
12. MathCEP Summer Enrichment

Other Lists of Summer Camps

American Mathematical Society's listing of Summer Programs for High School Students
Art of Problem Solving (AoPS)

A source for funding for summer programs is the AMS Epsilon Fund