Our Story
Patterns and Proofs grew out of a simple frustration: too much math instruction — even good instruction hands students the answer before they’ve had a chance to ask the question. I started Patterns and Proofs to build courses the other way around: activity first, discovery before definition, and formulas that arrive as the name for something a student already found, not a new fact to memorise.
Who I Teach
Right now, I teach CBSE Class 9 Mathematics, with Class 10 opening soon as a founding batch. I also offer focused single-topic courses for students who need to strengthen one specific area — algebra basics, geometry basics, trigonometry and more. You don’t need to commit to a full year-long course.
Let’s Talk
I read every message that comes through this site myself. If you have a question about the course, or you’re not sure whether it’s the right fit for your child, just reach out through the contact form in that page. I’m happy to talk it through before you sign up for anything.
Try a free activity, or take the Class 9 readiness diagnostic, to see how this actually feels before committing to anything.
About me
Hi, I’m Smita. I teach online mathematics and before that, I spent 8 years as a mechanical engineer in the aeronautical industry. Engineering taught me something that stuck with me long after I left the industry: a formula is only useful if you understand why it works. Plugging numbers into an equation without knowing where it came from is a fragile kind of knowledge — it breaks the moment a problem looks even slightly unfamiliar.
That’s the whole premise behind how I teach math. Every chapter starts with an activity, not a lecture. Students explore a pattern, notice something themselves, and only then are given the formula that names what they’ve already found. It takes longer than simply stating the rule and moving to practice problems. But it’s the difference between a student who can recall a formula and a student who can actually reason with one.
Founder
2026