Discovery-based mathematics

Math that thinks with you, not for you.

Kelvi helps learners develop mathematical ideas through conversation—at home, in school, or with a problem of their own.

Piloting at schools across the US and India.

Choose the Kelvi experience that fits you.

The same commitment to mathematical thinking, designed for three different learning contexts.

Kelvi School

For teachers and classrooms

Create discussion-based mathematical experiences and see the ideas, strategies and connections students are developing—not only what they scored.

Active pilots in the US and India.

Kelvi Open

For middle and high school students

Bring a mathematical question or a photo of your work and think it through with Kelvi, one question at a time.

A real exchange

What a Kelvi session feels like.

One question at a time. Never a verdict on whether the student was right.

S = 1 : 6,480,000
Map area = 8.6 × 5.4 = 46.4 cm²

I can see you've noted the scale (1 : 6,480,000), calculated the map area as 8.6 × 5.4 = 46.4 cm², and you've mentioned wanting to scale it up.

One thing to think about before you finish that sentence: the scale applies to lengths. When you scale an area, what happens to the scale factor?

I was wondering — if the scale factor applies to length, do we square it for area?

Yes — squaring the scale factor is exactly the right move.

How far do you get when you apply that?

Kelvi School

A window into how students actually think.

Kelvi School supports discussion-based mathematics without taking instructional judgment away from the teacher. Students develop and explain ideas; teachers see the thinking behind the work.

Build discussion-based activities

Create mathematical experiences designed for discovery, explanation and classroom conversation.

Make thinking visible

Surface student strategies and connections rather than reducing learning to a single score.

Preserve teacher judgment

Kelvi supports the teacher’s decisions. It does not replace the teacher or prescribe what must happen next.

Currently piloting at schools across the US and India.

Kelvi Open

Bring the problem you are already thinking about.

Kelvi Open is for middle and high school students who want to talk through a mathematical idea, share a photo of their work and remain responsible for the reasoning.

Bring your own question or image

Start with the problem you are already working on.

One responsive question at a time

Kelvi asks the next question instead of handing over the next answer.

Explain and connect ideas

Work through the reasoning yourself instead of copying a generated solution.

The learner does the thinking.

Not an answer machine

Kelvi does not optimize for reaching a solution as quickly as possible.

Responsive to real ideas

Kelvi begins with the strategy or question the learner actually brings.

Support without taking over

Kelvi asks, connects and gradually adds support while preserving learner agency.

A note from the founder

I built Kelvi because the answer is the easy part.

As a teacher at Phillips Exeter Academy and as a parent, I grew tired of seeing a student's learning reduced to a number. Around a Harkness table, I see everything that number leaves out: students testing ideas, articulating partial understanding, listening to one another, and making mistakes that move the conversation forward. Mathematics becomes a language they can speak—not simply a collection of procedures they are expected to reproduce.

I wanted every learner to have that experience. So I created Kelvi from an asset-based belief: learners arrive with ideas worth hearing, and teachers bring judgment worth preserving. Kelvi begins with what the learner already sees, asks the question that helps the idea develop, and adds support only when it is needed.

The goal is not to deliver answers faster. It is to help learners understand, articulate, and take ownership of their mathematical thinking.

Gayatri Ramesh, PhDFounder & CEO · Kelvi.io

Questions

Common questions.

If you don't see your question here, write to us at hello@kelvi.io.

Kelvi Family is a flexible, problem-first K–8 curriculum for children working independently after caregiver setup. Mathematical ideas return over time, mixed with other ideas and growing in depth. Kelvi School is for teachers and classrooms. Kelvi Open is for middle and high school students bringing a mathematical question or their own work.

Where will you use Kelvi?