III. Our Programs
“For the things we have to learn before we can do them, we learn by doing them.”
— Aristotle, Nicomachean Ethics II.1
I. Lyceum Lessons
Structured · Curriculum-Driven · Foundational
Lyceum Lessons are the heart of The Lyceum's academic program. Delivered in a small-group setting, they follow a carefully sequenced curriculum designed to build mathematical understanding from the ground up.
Each lesson is prepared in advance and structured around a specific concept or domain. Students encounter ideas through guided discovery, work through problems collaboratively, and are expected to explain their reasoning — not simply produce answers.
The Foundations Program meets once weekly and is designed for students building or reinforcing core mathematical habits.
The Core Program meets twice weekly and is the primary pathway for students pursuing sustained, long-term mathematical development.
Lyceum Lessons are available for students in grades 2 through 12.
II. Lyceum Tutorials
Individual · Targeted · High-Touch
Lyceum Tutorials are one-on-one sessions tailored entirely to the individual student. Each session is responsive — shaped by the student's current level of understanding, immediate needs, and longer-term instructional goals.
Tutorials may address foundational gaps, extend a student's work beyond the classroom, or support coursework in progress. While school assignments may be incorporated where appropriate, sessions are not designed primarily as homework help. The focus remains on developing the habits of reasoning that make a student independent — and ready, in time, for the deeper demands of structured study.
The Standard Tutorial meets once weekly for students who benefit from regular individual attention.
The Intensive Tutorial meets twice weekly and is suited for students navigating demanding coursework or preparing for significant academic transitions.
Lyceum Tutorials are available for students in grades 4 through 12, and may be conducted in person or virtually.
III. Lyceum Colloquia
Discussion-Based · Inquiry-Driven · Enrichment
The Lyceum Colloquium is a small-group seminar in which students explore mathematical ideas through dialogue. The instructor serves as moderator rather than lecturer. Students of varied ages and levels are welcome — the diversity of perspective is part of the design.
Sessions are built around a problem, a question, or a concept chosen for its depth and its capacity to sustain genuine inquiry. There are no worksheets and no single correct path. Students are expected to reason aloud, challenge assumptions, and follow an idea wherever it leads — moving freely through the space, returning to the board, and thinking on their feet in the most literal sense. The peripatetic spirit is intentional: movement and thought, at The Lyceum, are not opposites.
The Colloquium is not a remediation program. It is an enrichment experience for students who are ready to engage with mathematics as a subject of thought rather than a sequence of procedures.
Colloquium Membership meets once weekly. Placement is by instructor recommendation.
IV. Exam Preparation
Diagnostic-Driven · Strategic · Structured
The Lyceum's Exam Preparation program is built around the student's diagnostic profile, not a generic curriculum. Before instruction begins, we assess where the student currently stands — conceptually, procedurally, and strategically — and build a preparation plan around what will actually move the needle.
We prepare students for the ISEE, SSAT, SAT, ACT, and similar assessments. Our approach emphasizes genuine understanding over test-taking tricks: a student who understands the mathematics will outperform a student who has only memorized formats.
The Standard Cycle is designed for students with a longer preparation runway — typically three months or more.
The Intensive Cycle is for students with an imminent test date or those seeking maximum preparation density in a compressed timeframe.
Exam Preparation is available for students in grades 5 through 12.
Tuition
Tuition varies by program and is available upon request. To learn more or begin the enrollment process, submit an inquiry below.
Students are not enrolled by the hour. They are enrolled into a program — a structured, ongoing commitment to their intellectual development.