Mathematical Mentorship

Learn. Think. See. Create.
A rare kind of mathematical experience, built around where you are and where you might go next.

One on one mathematical mentorship for students in grades 7–12, in person in New York City or online with students anywhere in the world.

Our work may help you understand what you are learning in school more deeply, take you beyond the curriculum through problem solving and enrichment, or offer new mathematical challenges when you are ready to go much further. A question or a simple curiosity of your own may even grow into a long-term mathematical investigation and, in some cases, work that can be submitted for publication.

Where are you mathematically?

“There is no royal road to geometry.”— Menaechmus

You may wonder why you need the quadratic formula, while finding yourself fascinated by puzzles, doodling, patterns, or questions that lead somewhere unexpected.

Mathematical curiosity can begin far from the mathematics we meet in class.

You don't need another math tutor.
You need someone who can see what you need next.

Learn. Think. See. Create.

What do you need next?

01

Learn

Build understanding.

Develop the concepts and tools that let new mathematics make sense.

02

Think

Develop independence.

Learn what to do when you do not know what to do. Explore unfamiliar problems, test ideas, and become less dependent on someone showing you the next step.

03

See

Discover mathematics differently.

Notice structures, connections, and ideas that can remain hidden when mathematics is treated only as procedure.

04

Create

Follow a question of your own.
“A mathematician, like a painter or poet, is a maker of patterns.”G. H. Hardy

Develop an idea through exploration, conjecture, proof, or mathematical writing.

This is not a prescribed order. You may move among Learn, Think, See, and Create, or experience several at once.

What does a math coach do?

Know when to explain. Know when to ask. Know when to step aside.

A clear explanation can move you forward. So can the right question. At times, the most useful thing a coach can do is give you the space to discover something for yourself.

The role of the coach is to recognize what you need next.

A look at the mathematics

What might we be doing together?

One question can lead into history, geometry, algebra, proof, and new ways of seeing.

Take a look at what we might be doing together →
Where can a question lead?

Sometimes, much further than you expect.

A question can become an exploration. An exploration can become a conjecture, a proof, or a piece of mathematical writing.

From exploration to publication
Extending factorials to the gamma function
Josephine Miller · Parabola · 2025
Constant-recursive equations and polynomial equations
Mahmoud M. Ayesh · Parabola · 2025
About Cem
Portrait of Cem

Mathematics educator.
Curriculum designer.
Math coach.

I have spent more than 30 years teaching mathematics, beginning in Turkey and later at Trinity School in New York City and Avenues The World School. I currently teach at a K–12 private school on the Upper East Side of Manhattan, New York City.

My work has included classroom teaching, mathematics leadership, curriculum design, and designing the curriculum and learning experience for individualized advanced mathematics programs at Avenues The World School campuses and at AEON, an online school. I studied mathematics as an undergraduate and completed a master’s degree in the philosophy of mathematics. That background, together with a longstanding love of literature and creative writing, continues to shape how I think about mathematics and how students encounter it.

Where could you go with mathematics?

Let's find out.

Each mentorship begins with a conversation.

We will discuss where you are mathematically, what you hope to explore, and what our work together might look like.

The mentorship can take different forms at different times. You may want regular weekly meetings throughout the school year, or prefer to keep an already busy school year less crowded and use the summer for a more concentrated mathematical experience. You may also be ready to pursue a long-term mathematical investigation, with the possibility of developing your work into a paper for publication. The right rhythm depends on the student.

Scheduling and rates can be discussed as part of that conversation.

Questions

A few practical questions

Who is the mentorship for?

Students in grades 7 to 12, from those who need help with school mathematics to highly advanced students looking for greater challenge.

Is this tutoring?

It can include tutoring when that is useful, but it is not limited to it. Our work can also focus on problem-solving, review, test-prep, skill-building, enrichment, independent exploration, mathematical puzzles, or mathematical research.

What mathematics can we work on?

All standard middle and high school mathematics, including AP Calculus at all levels, as well as topics beyond the usual school curriculum. What we study will evolve based on your interests and needs.

Do I need to be exceptionally strong in mathematics?

Not at all. You may want to strengthen your foundations, become a more confident problem solver, or pursue mathematics well beyond your grade level.

What does a typical meeting look like?

There is no fixed format. We might go over your homework problems, investigate a new problem, do additional practice, work through a difficult concept, prepare a solution presentation, explore an unfamiliar area of mathematics, or develop an ongoing project.

How often do we meet?

Some students meet weekly. Others work more intensively during the summer or over a shorter period. Longer investigations may continue for several months.

Can I work toward publishing a mathematics paper?

Yes, if an investigation develops far enough. We can work toward preparing it for submission to an appropriate mathematical publication, though publication cannot be guaranteed.

Can the mentorship complement my school mathematics?

Absolutely. We can stay close to what you are studying, go deeper into it, or explore mathematics in an entirely different direction.

Do you meet in person or online?

Both. For students in New York, meetings can be in person or online. For students elsewhere, we can find online meeting times that work across different time zones.

How do we begin?

With a conversation. You do not need to know exactly what you want to work on before we meet.

What are the rates?

Rates depend on the nature and frequency of our work and can be discussed during our initial conversation.