15 Winter Advanced Math Programs for Middle School Students
Advanced math programs can give you access to environments where challenging problems, collaboration, and sustained intellectual curiosity are the norm. Many universities, research groups, and nonprofit organizations run programs designed specifically for middle school students seeking a more serious mathematical experience than what a typical classroom offers. Programs that run in the winter can be especially practical because they fit within the academic calendar and often take place during shorter windows or school breaks. These programs range from university-hosted math circles to national competitions and structured enrichment programs that bring together motivated students from different schools and regions.
To help you choose, we’ve reviewed programs across the country that run during the winter months and are open to students in grades 6–8. The 15 winter advanced math programs for middle school students below were selected based on the reputation of the host organization, the rigor of the program environment, and the overall strength of the opportunity.
Location: Virtual
Cost: Varies according to program. Financial aid available
Acceptance rate/cohort size: Highly selective. Small cohorts
Program Dates: Winter cohort dates vary according to the session
Application Deadline: Rolling admissions with priority deadlines before each cohort
Eligibility: Students in grades 6–8
The Lumiere Junior Explorer Program allows you to work in a small cohort setting with mentors who guide students through advanced academic exploration across several disciplines. During the program, you investigate complex topics through structured discussions, guided research exercises, and analytical problem-solving activities. Mentors help you learn how to approach challenging questions systematically and communicate your reasoning clearly. The program emphasizes collaborative learning, encouraging you to exchange ideas and develop solutions alongside other motivated middle school students. This format is designed for students who want an intellectually serious environment where curiosity, rigor, and thoughtful exploration drive the learning process.
Location: Virtual
Cost: Varies according to program. Financial aid available
Acceptance rate/cohort size: Selective. Small cohorts
Program Dates: Winter cohort dates vary according to the session
Application Deadline: Rolling admissions with priority deadlines before each cohort
Eligibility: Students in grades 6–8
Veritas AI’s Trailblazers program introduces middle school students to computational thinking and quantitative problem-solving through guided projects and interactive lessons. You work with instructors who help you explore how mathematical reasoning and logical structures are applied in areas such as data analysis and algorithmic thinking. The program combines short lectures with project-based work, allowing you to experiment with concepts rather than only studying them theoretically. Students collaborate in small groups, share ideas, and refine their approaches through instructor feedback. This structure helps you develop analytical skills while experiencing how mathematics connects to modern technology and research.
Location: Stanford University, Stanford, CA
Cost: Approximately $600–$700, depending on session; financial aid available
Acceptance rate/cohort size: Limited enrollment, small classes
Program Dates: January–March
Application Deadline: Early December
Eligibility: Students in grades 5–8, depending on course level
Stanford Math Circle is part of Stanford Pre-Collegiate Studies and focuses on collaboratively exploring challenging mathematical ideas. Instructors guide you through discussion-based sessions where you’ll work through complex problems and explain your reasoning to peers. Rather than following a traditional lecture format, the program encourages active participation and group problem-solving. You’ll examine non-standard problems that require creative strategies and careful logical thinking. This approach is designed to help you build confidence tackling unfamiliar questions while learning how mathematicians communicate ideas and test different problem-solving strategies.
Location: University of California, Los Angeles, CA
Cost: Approximately $300–$400, depending on course level
Acceptance rate/cohort size: Limited enrollment
Program Dates: January–March
Application Deadline: Late December
Eligibility: Students in grades 6–12, depending on the section
The UCLA Math Circle is a university-hosted enrichment program that brings students together to explore challenging mathematical ideas through collaborative sessions. The meetings revolve around guided problem solving, where instructors introduce a concept and encourage you to work through progressively more complex questions. You will present your solutions and reasoning to the group, creating an environment that emphasizes discussion and mathematical communication. The sessions are designed to push you beyond routine exercises and encourage experimentation with multiple solution strategies. The program suits students who enjoy tackling difficult problems in a collaborative academic setting.
Location: Nationwide testing centers and schools across the United States
Cost: Typically free for students through participating schools
Acceptance rate/cohort size: Open competition
Program Dates: January 22–January 30
Application Deadline: Registration deadlines vary by school or testing center
Eligibility: Students in grade 8 or below and under age 14.5 on competition day
The AMC 8 is one of the most widely recognized mathematics competitions for middle school students in the United States. Instead of a traditional course format, the competition challenges you with a series of multiple-choice problems that require creative reasoning and efficient problem-solving strategies. Preparing for the contest often involves working through advanced problems in areas such as number theory, geometry, and combinatorics. Many schools and math clubs use the AMC 8 as a focal point for training sessions and collaborative problem solving. Participation also serves as a stepping stone toward more advanced competitions in the American Mathematics Competitions series.
Location: Schools and regional competition sites across the United States
Cost: Typically free for participating schools
Acceptance rate/cohort size: Open competition
Program Dates: December–February (school and chapter rounds)
Application Deadline: Registration deadlines vary by school or chapter coordinator
Eligibility: Students in grades 6–8 enrolled in participating schools
MATHCOUNTS is a nationwide middle school mathematics competition that challenges students with multi-step problem-solving questions across several rounds. The program includes sprint rounds, target rounds, team competitions, and a fast-paced countdown round that tests mathematical reasoning under time pressure. You will typically prepare through school math clubs or training sessions where you’ll work through challenging problems together. These sessions often emphasize collaborative reasoning and strategic approaches to complex questions. Participation allows you to experience mathematics in a competitive and intellectually demanding environment alongside peers who enjoy tackling difficult problems.
Location: University of California, Berkeley, CA
Cost: Approximately $900 for the term
Acceptance rate/cohort size: Limited enrollment
Program Dates: Late January–April
Application Deadline: Early January
Eligibility: Students in grades 6–12, depending on the section
The Berkeley Math Circle offers discussion-based classes designed for students who enjoy exploring challenging mathematical ideas. The sessions typically revolve around a central concept or theme, with instructors guiding students through a sequence of problems that gradually increase in difficulty. You’ll work collaboratively with classmates, testing different strategies and refining your reasoning through discussion. Instructors encourage you to present your ideas and explain how you’ve arrived at your solutions. This format emphasizes exploration and intellectual curiosity rather than memorization or routine exercises.
Location: Brigham Young University, Provo, UT
Cost: Free
Acceptance rate/cohort size: Limited enrollment
Program Dates: January–February
Application Deadline: Early January
Eligibility: Students in grades 6–8
The BYU Math Circle brings middle school students together to explore challenging mathematical problems in a collaborative environment. The sessions are led by mathematicians and graduate students who will guide you through problem-solving activities and mathematical discussions. Rather than focusing on lectures, the meetings emphasize active participation and exploration of new ideas. You will work through puzzles and structured problems that require logical reasoning and creative thinking. The program is designed to encourage curiosity and persistence while allowing students to interact with others who share a strong interest in mathematics.
Location: Schools and regional testing sites across the United States
Cost: Varies by school participation
Acceptance rate/cohort size: Open competition
Program Dates: January–February contest season
Application Deadline: Registration deadlines vary by participating school
Eligibility: Students in grades 6–8
The Math League contest series provides middle school students with opportunities to solve challenging mathematical problems in a structured competition format. The contests typically include a range of questions covering algebraic reasoning, number sense, geometry, and logical thinking. You can prepare through math clubs or team practice sessions where you’ll discuss strategies and analyze solutions together. These experiences emphasize careful reasoning and accuracy under time constraints. The program encourages students to deepen their mathematical thinking while engaging with peers who share an interest in advanced problem solving.
Location: Los Altos, CA
Cost: Approximately $200–$300, depending on session
Acceptance rate/cohort size: Limited enrollment
Program Dates: January–March
Application Deadline: Late December
Eligibility: Students in grades 5–8, depending on the section
South Bay Math Circle offers enrichment sessions where you’ll explore mathematical ideas through guided problem-solving discussions. The meetings are organized around challenging questions that require students to test different approaches and refine their reasoning. The collaborative environment allows you to compare strategies and learn from multiple perspectives. This format helps build a deeper understanding while keeping the focus on exploration and intellectual curiosity.
Location: Louisiana State University, Baton Rouge, LA
Cost: Approximately $100–$200, depending on session
Acceptance rate/cohort size: Limited enrollment
Program Dates: February–April
Application Deadline: January
Eligibility: Students in grades 6–12
LSU Math Circle Academy provides enrichment sessions where you will explore mathematical ideas through guided discussion and collaborative problem solving. The meetings typically revolve around a central theme, with instructors introducing a problem and encouraging you to test different strategies. The environment emphasizes curiosity and persistence while encouraging you to explain your thinking clearly. This approach allows you to explore mathematics as an investigative process rather than a set of routine exercises.
Location: Virtual
Cost: Approximately $450–$500 per session
Acceptance rate/cohort size: Open enrollment
Program Dates: January–March
Application Deadline: Rolling registration until sessions fill
Eligibility: Students in grades 6–12
MoMath Extensions is an online mathematics program designed for students who want to explore challenging topics beyond the standard school curriculum. The classes are taught by experienced instructors who will guide you through mathematical ideas using interactive discussions and structured problem sets. You’ll examine unfamiliar problems that encourage logical reasoning and creative thinking. This format creates an environment where participants can engage with advanced mathematical ideas while learning alongside other motivated students.
Location: National Museum of Mathematics, New York, NY
Cost: Approximately $50–$100, depending on the event
Acceptance rate/cohort size: Open enrollment
Program Dates: January–February
Application Deadline: Registration required prior to the event
Eligibility: Middle school students
The Winter Math Festival, hosted by the National Museum of Mathematics, brings students together to explore mathematics through interactive problem-solving activities and demonstrations. You will rotate through different stations that highlight mathematical patterns, puzzles, and real-world applications. Educators and mathematicians guide you through challenges that require reasoning and experimentation. The event encourages you to approach mathematical questions creatively while collaborating with others. It offers a hands-on environment where you can experience mathematics in a dynamic and engaging setting.
14. MoMath Unlimited
Location: National Museum of Mathematics, New York, NY
Cost: Approximately $50–$75
Acceptance rate/cohort size: Open enrollment
Program Dates: January sessions available
Application Deadline: Registration required prior to the event
Eligibility: Students in grades 6–12
MoMath Unlimited is an evening mathematics program where students work through puzzles, games, and mathematical challenges with guidance from museum educators and visiting mathematicians. You will move between activities that highlight different aspects of mathematical reasoning. You’ll often collaborate to test ideas and compare solutions with others in the group. Instructors encourage discussion about the logic behind each solution and the strategies used to reach it. The program offers a setting where you can explore mathematics through interactive challenges and group problem-solving.
Location: Virtual
Cost: Approximately $1200, financial aid available
Acceptance rate/cohort size: Limited enrollment
Program Dates: January–February
Application Deadline: December
Eligibility: Primarily high school students; advanced middle school students may apply
The Paquin Institute of Mathematics offers intensive courses designed to introduce you to rigorous mathematical thinking. Instruction focuses on exploring complex problems and developing structured reasoning through guided discussion and written solutions. You’ll examine mathematical ideas that emphasize logic, abstraction, and careful argumentation. The program is designed for students who want to experience a more formal and analytical approach to mathematics.
Stephen is one of the founders of Lumiere and a Harvard College graduate. He founded Lumiere as a PhD student at Harvard Business School. Lumiere is a selective research program where students work 1-1 with a research mentor to develop an independent research paper.