12 Math Programs for High School Students in New Hampshire
- Stephen Turban
- 2 hours ago
- 9 min read
If you’re interested in math, you might be looking for opportunities to explore concepts that go beyond the standard high school curriculum. Structured math programs can introduce you to subjects such as number theory, combinatorics, proof-writing, mathematical modeling, and advanced problem-solving through guided coursework and collaborative discussions. Many programs also emphasize logical reasoning and analytical thinking, helping you approach unfamiliar mathematical questions more systematically.
In New Hampshire, math programs are offered through universities, enrichment initiatives, and academic organizations. These opportunities range from summer math circles and semester-long academic programs to research-focused experiences and applied STEM programs with a strong quantitative component.
Why should I do a math program in high school?
Math programs can help you strengthen your quantitative reasoning skills while exposing you to topics that are not typically covered in school classes. Depending on the program, you may work through proofs, solve open-ended problems, collaborate with peers on challenging questions, or study advanced mathematical ideas in a more focused setting. These experiences can help you build persistence, precision, and mathematical communication skills while preparing you for higher-level coursework and future STEM study.
In this blog post, we’ve compiled 12 math programs for high school students in New Hampshire.
If you’re looking for free virtual research opportunities, check out our blog here.
Location: Remote , you can participate in this program from anywhere in the world!
Cost: Varies depending on program type. Full financial aid available.
Application Deadline: Varies by cohort.
Program Dates: Varies by cohort: summer, fall, winter, or spring. Options range from 12 weeks to 1 year.
Eligibility: You must be currently enrolled in high school and demonstrate a high level of academic achievement.
The Lumiere Research Scholar Program is a rigorous research program tailored for high school students. The program offers extensive 1-on-1 research opportunities for high school students across a broad range of subject areas. The program pairs high school students with Ph.D. mentors to work 1-on-1 on an independent research project. At the end of the 12-week program, you’ll have developed an independent research paper! You can choose research topics from subjects such as math, physics, economics, data science, computer science, engineering, chemistry, international relations, and more. You can find more details about the application here, and check out students’ reviews of the program here and here.
Location: Dartmouth College, Hanover, NH
Cost: Free
Application Deadline: ~December 15 (late applications sometimes considered)
Program Dates: In Spring- January 26 - April 13
Eligibility: High school students (open to motivated and mathematically curious applicants)
Dartmouth Mathland is a semester-long program where you explore advanced mathematics through collaborative, discussion-based sessions rather than traditional lectures. You meet weekly on the Dartmouth campus and work alongside faculty and graduate students to investigate topics such as number theory, combinatorics, geometry, and group theory that are not typically covered in high school. The program emphasizes active learning, where you develop definitions, test ideas, and build proofs through problem sets, puzzles, and group exploration. You are encouraged to share incomplete ideas and refine them through discussion, making the process of solving problems as important as the final answer. A significant focus is placed on communicating mathematical reasoning clearly, helping you present arguments and proofs effectively.
Location: Virtual
Cost: Varies depending on program type. Financial aid available.
Application Date: Multiple deadlines throughout the year for the Spring, Summer and Fall cohorts.
Program Dates: The spring and fall cohorts run 15 weeks, while the summer cohort runs 10 weeks (June-September).
Eligibility: High school students with good academic standing (>3.67/4.0 GPA) can apply. Most accepted students are 10th- or 11th-graders!
Horizon offers trimester-long research programs for high school students across subject areas such as data science, machine learning, political theory, and more! Horizon is one of the few research programs for high school students that offers you the choice to engage in either quantitative or qualitative research. Once you select a particular subject track, Horizon pairs you with a professor/PhD scholar who acts as a mentor throughout your research journey. As a participant, you will be expected to develop a 20-page research paper that you can send to prestigious journals for publication as a high school student. The program also provides a letter of recommendation for each student and detailed project feedback that you can use to work on future projects. Apply here.
Location: University of New Hampshire, Manchester, NH
Cost: Free
Application Deadline: Typically rolling (priority given to Manchester-area students)
Program Dates: August 3–14 (exact dates may vary by cycle)
Eligibility: Students entering grades 5–12 (priority for Manchester school district students)
The UNH Manchester Tech Camp is a hands-on summer program during which you explore STEM topics through project-based learning on a university campus. You participate in interactive workshops spanning robotics, forensic science, circuit design, and biomedical modeling, depending on the specific track you choose. The program emphasizes problem-solving and creative thinking, with activities designed to help you apply concepts rather than just learn them theoretically. You work in teams to build, test, and refine projects, often using tools like sensors, basic programming, or 3D modeling. Sessions are led by faculty and instructors with access to university labs and equipment, giving you exposure to college-level resources. The day-program structure also helps you build consistency and discipline while engaging in a structured academic environment. Overall, you gain practical STEM experience while developing collaboration, experimentation, and technical skills in a supportive setting.
Location: Durham, NH
Cost: Free (funded through a federal grant)
Application Deadline: Not specified
Program Dates: 6 weeks in the summer
Eligibility: Low-income or first-generation high school students from New Hampshire; also attend one of their target schools, which are Farmington, Manchester (Central, Memorial, West, or MST), Spaulding, or Somersworth.
The UNH Upward Bound Summer Academy is a six-week residential program that prepares you for college through structured academic and support-based programming. You take courses in core subjects such as math, science, English, and foreign languages, with an emphasis on building strong academic foundations. Alongside coursework, you receive guidance through college counseling sessions and SAT preparation. The program also includes mentorship, helping you navigate academic goals and future planning with consistent support. Beyond academics, you participate in leadership workshops, cultural programming, and group activities that build communication and teamwork skills. Over the course of the program, you develop both the academic readiness and confidence needed to transition into a college environment.
Location: Rivier University, Nashua, NH
Cost: $80 (both sessions); fee waivers available for financial need; Morning session: $50
Afternoon session: $50
Application Deadline: Rolling (limited spots available)
Program Dates: August 23–27 (dates may vary by cycle)
Eligibility: High school students (rising grades 9–12)
The New Hampshire Summer Math Circle is a short, intensive program during which you explore advanced mathematical ideas through discussion and collaborative problem-solving. Instead of lectures, homework, or grades, the program focuses on discovery-based learning, where you work with peers to investigate concepts and develop solutions. You participate in two daily sessions, including topics such as number theory and encryption, as well as broader explorations of generating functions, projective geometry, and calculus concepts beyond the standard curriculum. The structure encourages active participation, with small group sizes that make it easier to engage directly with instructors and other students. You spend your time tackling unfamiliar problems, testing ideas, and refining your reasoning through discussion. In the morning program, you will learn about number theory techniques in depth, culminating in building your own personal encryption system. In the afternoon session, you will explore diverse topics, including iterated functions, Brahmagupta’s equation, generating functions, projective geometry, isomorphisms, and calculus without limits.
Location: University of New Hampshire, Durham, NH; residential option available
Cost: Free
Application Deadline: March 31
Program Dates: July 20 – July 24
Eligibility: Students entering grades 5–12
The UNH Dinah Whipple STEAM Academy is a weeklong immersive program that explores science, technology, engineering, the arts, and mathematics through hands-on, project-based learning. You work on interactive projects that introduce core engineering and scientific principles, often involving building, experimentation, and real-world problem solving. Depending on your grade level, you engage with projects like Junior Innovators, where you explore environmental systems and design practical community solutions, or Tech Trailblazers, which includes tracks such as Resilient Communities and Smart Systems Lab. In these projects, you might design sustainability plans, test environmental data, or build simple robotic systems using sensors and basic AI concepts. Across all tracks, you apply the engineering design process by building, testing, and improving your ideas in small teams. By the end of the program, you present your project, explaining both the problem you tackled and the science or technology behind your solution.
Location: University of New Hampshire, Durham, NH
Cost: $1,500 (day) | $2,300 (residential)
Application Deadline: 15 March
Program Dates: Weeklong sessions (e.g., July 13–17)
Eligibility: Students in grades 10–12
The UNH TechLeaders: Bridge to College program is a one-week immersive experience designed to introduce you to college-level STEM learning and expectations. You work on a focused, project-based assignment in areas like engineering, science, or technology, applying problem-solving and design thinking throughout the week. Alongside your project, you participate in structured college readiness sessions covering topics such as essay writing, financial aid, and choosing a major. The program also includes interactions with university faculty and current students, as well as access to specialized campus facilities such as research labs and engineering centers. You gain exposure to how STEM subjects are studied at the university level while building both technical and academic skills. Leadership development is a core component that helps you build confidence and navigate the transition to college. By the end of the program, you will have a clearer sense of academic pathways, college life, and expectations in STEM-focused higher education.
Location: Hampshire College, Amherst, MA
Cost: $7,208 (includes housing and meals); financial aid available
Application Deadline: April 17
Program Dates: June 28 – August 8
Eligibility: High school students
The Hampshire College Summer Studies in Mathematics (HCSSiM) is a six-week residential program where you engage deeply with advanced mathematical ideas in a focused academic setting. You spend your time working through rigorous coursework, attending structured classes in the mornings, and participating in collaborative problem-solving sessions in the evenings. A daily “Prime Time Theorem” lecture introduces you to new concepts and ways of thinking about mathematics beyond the standard curriculum. Afternoons are intentionally flexible, giving you space to read, work independently, or continue discussions with peers. The program places a strong emphasis on collaboration, with faculty accessible both inside and outside the classroom. You also become part of a close-knit community of students who are similarly invested in exploring mathematics at a high level.
Location: Online, asynchronous (hosted by Dartmouth College)
Cost: $1,895
Application Deadline: Rolling (quick application process, decisions typically within days)
Program Dates: Multiple sessions available year-round (e.g., starting June 28)
Eligibility: Students aged 13+
The Dartmouth Precollege Online Applied Math course is a flexible, fully online program where you explore how mathematical models are used to understand real-world systems. You learn to translate complex problems into equations, analyze data using statistical tools, and evaluate the reliability of quantitative claims. The course introduces concepts like probability, expected value, and modeling techniques, helping you decide which mathematical approach best fits a given problem. A key component is the final capstone project, where you investigate a real-world question using both modeling and statistical analysis. Throughout the program, you receive guidance from mentors who provide feedback and help you refine your work. The structure is self-paced but supported, with around 20–30 hours of content including videos, simulations, and assignments. By the end, you develop practical skills in data interpretation, mathematical reasoning, and critical thinking, along with a certificate of completion from Dartmouth.
Location: Online, asynchronous (hosted by UMass Dartmouth, MA)
Cost: Free
Application Deadline: NA
Program Dates: NA
Eligibility: Incoming college students (typically recent high school graduates admitted to UMass Dartmouth)
The UMass Dartmouth Summer Bridge Program is a five-week online academic program designed to help you prepare for college-level coursework before your first semester. You complete self-paced modules in subjects like math or chemistry, depending on your placement results and intended major. The program focuses on strengthening foundational concepts while helping you build problem-solving and reasoning skills needed for college academics. You also receive support from university faculty, along with structured check-ins and guided instruction throughout the program. A key feature is the opportunity to improve your placement level, as successful completion allows you to retake placement assessments and potentially move into higher-level courses. By the end, you are more familiar with academic expectations, support systems, and study strategies required for a smoother transition into college.
Location: Online
Cost: $495; plus $31 with books
Application Deadline: Rolling enrollments
Program Dates: Weekly sessions (fixed schedule based on course selection)
Eligibility: High school students
Art of Problem Solving (AoPS) is a structured math program designed for students interested in tackling advanced and competition-level mathematics. You study topics beyond the standard curriculum, including number theory, combinatorics, and advanced algebra. Classes are discussion-based and focus on solving complex, non-routine problems rather than repetitive practice. The program also includes an active online community where you can share solutions, ask questions, and engage in mathematical discussions with peers. Many students participate in contests and collaborative problem-solving through the platform. As you progress, you build deeper reasoning skills, persistence, and the ability to approach unfamiliar problems creatively.
Stephen is one of the founders of Lumiere and a Harvard College graduate. He founded Lumiere as a Ph.D. student at Harvard Business School. Lumiere is a selective research program in which students work one-on-one with a mentor to develop an independent research paper.