If you’re a high school student in Vermont who loves math, chances are you have found yourself wanting more than your school’s curriculum offers: more challenging problems, more abstract ideas, and more opportunities to stretch your thinking. The good news is that there’s a growing ecosystem of programs designed for students like you. Whether you are looking for opportunities close to home or are willing to explore programs across the country, there are plenty of ways to deepen your interest in math. Before you dive in, check out Horizon’s guide to 15 Summer Programs in Vermont for High School Students for a broader look at what’s available.
Key Takeaways
- 9 math programs for Vermont students range from a residential week at UVM’s Mathematical Sciences Institute to fully online competition-prep courses through AwesomeMath and AoPS Academy to a five-week residential program at Canada/USA Mathcamp, held right in Burlington.
- Vermont’s math ecosystem centers heavily around the University of Vermont, which hosts the Mathematical Sciences Institute, Vermont Math Circles, and the Vermont Mathematics Initiative, giving in-state students relatively easy access to university faculty and research environments.
- Several programs specifically target preparation for competition math. AwesomeMath, the AoPS Academy AMC 10/12 Summer Camp, and Johns Hopkins CTY’s Advanced Competitive Math course all build problem-solving strategies for contests like the AMC 10/12, AIME, and USAMO.
- Vermont Math Circles takes an unusually creative approach by combining Dungeons & Dragons-style role-playing with mathematical problem-solving, requiring no prior D&D experience and emphasizing teamwork and game-based learning.
- Stanford’s SUMaC program appears in two different formats on this list: a general online academic enrichment session and a more advanced three-week course covering topics like Abstract Algebra and Algebraic Topology, both aimed at rising juniors and seniors.
- Vermont’s math programs are an effective way to develop proof writing, competition, and applied math skills, but they are not the only path for a student interested in independent research in other fields. Those who want to pursue a research project outside mathematics might consider Horizon’s Research Seminars and Labs, a mentored virtual research program offering 600+ specializations across subjects such as data science, political theory, and biology.
What Do Math Programs for High School Students Include?
Math programs for high school students go well beyond what you’d cover in an AP course. Depending on the program, you might work through proof-based number theory, dive into combinatorics and graph theory, or build mathematical models to analyze real-world systems. Here’s a breakdown of what you can expect to engage with:
Proof writing and mathematical rigor. Many advanced math programs center on writing and verifying proofs from the ground up, constructing logical arguments, identifying gaps in reasoning, and developing the precision that defines higher mathematics.
Core pure math topics. Expect exposure to subjects such as number theory, including modular arithmetic, divisibility, and prime factorization, as well as abstract algebra, including groups, rings, and fields, combinatorics, probability theory, and geometry. These topics are often explored in much greater depth than in a typical high school classroom.
Applied and computational math. Some programs incorporate mathematical modeling, statistics, and data analysis. You might use tools such as Python, R, MATLAB, or Mathematica to work through computational problems, run simulations, and visualize data.
Mathematical research. A handful of programs, particularly year-long or university-affiliated opportunities, allow you to work on open problems alongside faculty mentors, with the potential to write up your findings for publication.
Competition math. Programs such as IDEA MATH build problem-solving strategies needed for AMC, AIME, USAMO, and other competitions. You’ll strengthen your skills in algebra, geometry, number theory, and combinatorics through a mix of timed and untimed problem-solving sessions.
Why Should You Choose a Program in Vermont?
Vermont may be a small state, but it offers a surprisingly strong ecosystem for students who want to explore math beyond the classroom. The University of Vermont (UVM) in Burlington is home to a well-regarded Department of Mathematics and Statistics, with active research programs in areas including complex systems, data science, and statistical modeling. UVM also holds the Vermont Mathematics Initiative (VMI), which reflects a state-wide commitment to deepening mathematical education and supporting programs that benefit students.
Vermont State University adds to this ecosystem, with undergraduate programs in data science and applied statistics that connect math to industry applications. Vermont’s land-grant tradition also means there’s genuine interest in applying quantitative methods in fields such as agriculture, environmental science, and public health, areas where math plays a central role.
On the extracurricular side, the Vermont State Mathematics Coalition has long supported student participation in math competitions, and organizations such as the Governor’s Institutes of Vermont run specifically designed math programs on UVM’s campus. The state’s relatively small size also means high school students often have easier access to university faculty and research environments that would be harder to navigate in larger, more competitive markets.
9 Math Programs for High School Students in Vermont
1. Mathematical Sciences Institute
Location: University of Vermont, Burlington, VT
Cost: Sliding-scale tuition available; no stipend
Acceptance rate/cohort size: Not publicly specified
Dates: June 21 – 28
Application Deadline: Not specified
Eligibility: Rising sophomores, juniors, and seniors. Students are recommended to have completed or be currently enrolled in Algebra and Geometry. Applicants are asked to list relevant math coursework completed, but transcripts and grades are not required.
The Mathematical Sciences Institute is a one-week residential summer program for high school students interested in mathematics and related fields. During the program, you’ll explore topics such as statistics, probability, data science, artificial intelligence, computational science, economics, applied physics, and quantum physics through a mix of lectures, workshops, projects, and problem-solving activities. You’ll have the opportunity to work both independently and in teams while interacting with university faculty, guest speakers, and other students who share an interest in mathematics. The program also includes campus-wide challenges, field trips, presentations, and community-building activities. Eligible rising juniors and seniors may also have the opportunity to earn college credit through the Community College of Vermont. Overall, the institute is designed to provide exposure to advanced mathematical concepts and their applications in the real world.
2. Vermont Math Circles
Location: University of Vermont, Burlington, VT
Cost: Not specified
Acceptance rate/cohort size: Not specified (minimum of 3 students required for private groups)
Dates: Varies by session
Application Deadline: Not specified
Eligibility: Open to students interested in mathematics and role-playing games; no prior experience with Dungeons & Dragons is required.
Dungeons & Dragons Math Circles combine collaborative storytelling with mathematical problem-solving in a unique, game-based setting. As a participant, you’ll work through mathematical puzzles and challenges that arise naturally within a role-playing game environment. Along the way, you may encounter probability calculations, strategic decision-making, logic puzzles, and quantitative reasoning as you navigate fictional scenarios. The program emphasizes teamwork, creativity, and discussion while introducing mathematical concepts in an interactive and engaging way. You may create your own characters, use pre-made characters, or attend character-creation workshops. The format is designed to make mathematical thinking accessible through game-based learning and collaborative exploration.
3. Stanford University Mathematics Camp (SUMaC)
Location: Online
Cost: Program fee required
Acceptance rate/cohort size: Selective; cohort size not publicly specified
Dates: Session One (Online): June 15 – July 3; Session Two (Online): July 6 – 24
Application Deadline: February 2
Eligibility: Rising high school juniors and seniors (students completing grades 10 or 11 before the summer of participation)
Stanford University Mathematics Camp (SUMaC) is an advanced summer mathematics program for high school students with a strong interest in math. During the program, you’ll engage in intensive study through lectures, guided research activities, and collaborative problem-solving sessions. The curriculum goes far beyond the standard high school mathematics sequence, introducing you to advanced topics and areas of contemporary mathematical research. You also examine the historical development of mathematical ideas and their applications across scientific disciplines. The program brings together students from around the world who share a strong interest in mathematics. Both online and residential formats are available, allowing you to pursue advanced mathematical study in a structured academic environment.
4. Canada/USA Mathcamp
Location: Champlain College, Burlington, Vermont, VT
Cost: Financial aid available
Acceptance rate/cohort size: Not publicly specified
Dates: June 28 – August 2
Application Deadline: Not specified
Eligibility: Students ages 13 – 18, including high school students with strong mathematical ability and interest.
Canada/USA Mathcamp is a five-week residential summer mathematics program for mathematically talented students from around the world. The program provides an intellectually rich environment for exploring advanced mathematical topics through classes, lectures, problem-solving sessions, and independent learning opportunities. Mathcamp emphasizes mathematical discovery and intellectual curiosity rather than a fixed curriculum, allowing you to pursue areas that align with your interests and skill levels. Throughout the program, you’ll learn alongside peers who share a strong interest in mathematics and engage in collaborative discussions both inside and outside the classroom. In addition to academic activities, the program fosters a residential community experience with social events, clubs, and student-led activities. Designed for students seeking mathematical challenges, the program provides an opportunity to delve into higher-level mathematics while becoming a part of a close-knit community of like-minded peers.
5. AwesomeMath Summer Program
Location: Online
Cost: Tuition required
Acceptance rate/cohort size: Not publicly specified
Dates: Multiple three-week sessions offered during summer (2026 dates vary by session)
Application Deadline: Not specified
Eligibility: Gifted middle and high school students worldwide. High school students interested in advanced mathematics and mathematical competitions
The AwesomeMath Summer Program is an online mathematics program designed for high school students who want to strengthen their mathematical problem-solving training. You can choose from a variety of courses covering algebra, combinatorics, geometry, and number theory, with instruction delivered through live lectures and guided problem-solving sessions. Each course meets Monday through Friday for three consecutive weeks and includes daily homework, assessments, and office hours with instructors. The curriculum is particularly well-suited for students preparing for competitions such as the AMC 10/12, AIME, and USA(J)MO, although prior competition experience is not required. You may enroll in multiple courses and sessions based on your interests and academic background.
6. AoPS Academy AMC 10/12 Summer Camp
Location: Online
Cost: Tuition required
Acceptance rate/cohort size: Not publicly specified
Dates: Summer sessions; dates vary annually
Application Deadline: Varies by session and enrollment availability
Eligibility: Students ages 13+ interested in preparing for AMC 10/12 and AIME-level mathematics competitions
The AMC 10/12 Summer Camp is an online enrichment program designed for high and middle school students interested in contest mathematics. Throughout the program, you’ll work through challenging problems in algebra, geometry, combinatorics, and number theory, while learning the problem-solving strategies commonly used in national mathematics competitions. The instruction is delivered through live virtual classes that encourage active participation and mathematical exploration. You’ll have the opportunity to work alongside peers who share your interest in math and gain exposure to advanced concepts that go well beyond a typical high school curriculum. The program is suitable for students seeking structured preparation for upper-level mathematics competitions.
7. Advanced Competitive Math (Johns Hopkins Center for Talented Youth)
Location: Online
Cost/Stipend: $1,365–$1,420 tuition; financial aid available; no stipend
Acceptance rate/cohort size: Not publicly specified
Dates: Summer B 2026: July 13 – August 17; Fall A: September 8 – October 13
Application Deadline: Summer B: June 8; Fall A: August 11
Eligibility: Students in grades 7–11 who meet CTY quantitative identification requirements and have successfully completed Algebra II or Honors Algebra II
Advanced Competitive Math is an online enrichment course offered by the Johns Hopkins Center for Talented Youth (CTY) for students interested in mathematics competitions. The course introduces key topics that frequently appear on contests such as the AMC 10 and AMC 12, including algebra, geometry, number theory, and combinatorics. You’ll develop the problem-solving strategies needed to tackle competition-styles questions through guided instruction, collaborative activities, and challenging practice problems. The curriculum focuses on building mathematical reasoning skills, while strengthening your confidence in approaching unfamiliar questions. Classes meet weekly over a six-week period and are designed for students with a strong background in mathematics.
8. Thinkster High School Math Tutoring
Location: Online
Cost: Paid program; pricing varies by tutoring plan (monthly, quarterly, and annual options available)
Acceptance Rate/Cohort Size: Not specified
Dates: Year-round enrollment
Application Deadline: Rolling admissions
Eligibility: High school students studying Algebra I through Calculus who are seeking supplemental math support, enrichment, or test preparation
Thinkster is an online math tutoring platform that combines weekly one-on-one instruction with AI-supported practice and progress tracking. As a high school student, you’ll receive personalized support in subjects ranging from Algebra I and Geometry to Pre-Calculus and Calculus. The program uses an adaptive learning system to identify skill gaps and assign practice tailored to your individual needs and performance. You’ll work with the same tutor over time and have access to instructional videos, practice exercises, and progress dashboards that help you monitor your growth.
9.Stanford University Mathematics Camp (SUMaC) Online Academic Enrichment
Location: Online
Cost: Tuition required (amount not specified in the provided content)
Acceptance Rate/Cohort Size: 64 participants
Dates: Session One: June 15 – July 3; Session Two: July 6 – 24
Application Deadline: Not specified
Eligibility: Rising high school juniors and seniors (typically students entering grades 11–12)
Stanford University Mathematics Camp (SUMaC) is a three-week online mathematics program for academically advanced high school students with a strong interest in math. As a participant, you’ll choose from advanced courses such as Abstract Algebra & Number Theory or Algebraic Topology and engage in live instruction, collaborative problem-solving sessions, and virtual guest lectures. You’ll work closely with instructors, undergraduate and graduate teaching assistants, and peers in a highly interactive learning environment. Alongside live classes, you’ll complete independent assignments and a final research project presentation. Outside the classroom, you’ll have opportunities to participate in student life seminars, workshops, and community-building activities that foster intellectual engagement and collaboration.
Frequently Asked Questions
Which of these programs are based in Vermont rather than fully online?
The Mathematical Sciences Institute and Vermont Math Circles are both held at the University of Vermont in Burlington, and Canada/USA Mathcamp is hosted at Champlain College, also in Burlington. The remaining programs, including AwesomeMath, AoPS Academy, and both SUMaC formats, are fully online.
Do I need prior competition math experience to enroll in the contest-focused programs?
Not necessarily. AwesomeMath states that prior competition experience is not required, though the curriculum is designed for students preparing for contests like the AMC 10/12 and AIME. Johns Hopkins CTY’s Advanced Competitive Math course does require completion of Algebra II or Honors Algebra II along with meeting CTY’s quantitative identification requirements.
Can I earn college credit through any of these programs?
Yes. Eligible rising juniors and seniors at the Mathematical Sciences Institute may have the opportunity to earn college credit through the Community College of Vermont.
What if I am interested in math but not particularly drawn to competition prep?
Programs like the Mathematical Sciences Institute and Canada/USA Mathcamp emphasize broader mathematical exploration and discovery rather than a fixed competition curriculum, covering topics like statistics, data science, and advanced pure math areas that go beyond just contest preparation.
What if I am interested in research outside of mathematics?
These programs are focused specifically on mathematics and competition preparation, but students looking for a research-based credential in a different subject area might consider Horizon’s Research Seminars and Labs, a selective virtual research program that pairs students with a mentor to develop an original research paper across subjects like data science, political theory, and biology.
Image source: The University of Vermont