MATHEMATICAL FLUENCY PLATFORM

Practice math.
Get fluent. Get unstuck.

When you're stuck, Kinora doesn't show you the answer — it teaches you exactly what you're missing, then puts you right back into practice.

Process-first gradingHonest skill mapDeveloped by an AP Teacher
Start Practicing

Sign up and start solving in under a minute

The loop that builds fluency.

01

PRACTICE

Jump into problems matched to your level. Every problem starts with comprehension.

02

GET HONEST FEEDBACK

AI grades your process step by step. Your Proof Score (0–200) reflects how you think, not what you guess.

03

GET UNSTUCK

Stuck on the same concept twice? A targeted Micro-Lesson® appears — built from your specific mistake. It teaches exactly what you’re missing in under 60 seconds, then sends you right back into practice.

04

GET FLUENT

Track real mastery across 136 skills on your Honest Map. Share verified progress cards your parents and teachers can trust.

Then practice again. The loop continues.

Other apps show you the answer.
Kinora teaches you why.

No generic video. No answer reveal. A targeted Micro-Lesson® built from your exact mistake. Then you practice again, with understanding.

Micro-Lesson® is a Kinora technology

STEP 2 - POWER RULE

2log(x) = ?

log(2x)attempt 1
log(2x)attempt 2

Same mistake. Twice.

Let's slow down.

MICRO-LESSON®

What the Coefficient Actually Does

You're multiplying the base by the coefficient. It actually becomes the exponent.

2·log(x) = log(x²)

↑ coefficient ↑ became exponent

GOT IT? LET'S CHECK.

3log(x) = ?

log(3x)
log(x³) ✓
3·log(x)
(log x)³

↳ Back to practice.

Bring your own question.
We'll teach you how to solve it.

Type any math problem. Kinora builds a step-by-step practice session around it — same process grading, same Micro-Lesson® when you're stuck. Or send it to your Teacher Vault instructor.

How do I find the derivative of sin(x²) ?SOLVE IT
AI PRACTICE

Kinora generates a step-by-step practice session. Same process. Same Micro-Lesson® if stuck.

or
ASK YOUR TEACHER

Send to your Teacher Vault instructor. They respond with a custom practice problem.

VAULTAvailable with Teacher Vault subscription

See everything. Hide nothing.

One map. Every skill. Every gap. Nothing hidden.

Toggle AP overlays to see exactly what the exam tests — down to each FRQ type.

95Fractions82Ratios65Linear Eq.88Decimals45Proportions20Quadratics🔒Angles🔒Trig Ratios

Not a gamified skill tree. An honest prerequisite graph powered by the same curriculum structure used in AP exam design.

We grade how you think.

A 200-point fluency rating built from process quality, skill breadth, consistency, and depth. It cannot be gamed.

127PROOF SCORE✦ Verified
Process 40%
Breadth 25%
Consistency 20%
Depth 15%

Developed by the teacher who
grades the AP exam.

Maitri is an AP Teacher and AP Reader — she scores the national AP Calculus exam for the College Board. She designed Kinora's curriculum, wrote the problem bank, and defined what “process” means at every difficulty level.

Designed for the student who's capable but not yet fluent.

Every AI-generated problem goes through teacher review. This is not ed-tech built by engineers guessing at pedagogy. This is a teacher's tool, engineered to scale.

AP TEACHER · AP READER · COLLEGE BOARD

Choose your path.

Pro is free during pilot. Vault adds a dedicated AP Teacher and the ability to practice with your own problems.

FREE DURING PILOT

Pro

$9.99/mo$0 during pilot

Unlimited practice

AI-adaptive sessions

Micro-Lesson® when you’re stuck

Proof Score tracking

Honest Map with AP overlays

Progress Cards

Parent Mirror

Start Practicing
TEACHER VAULT

Vault

$14.99/mo

Everything in Pro, plus:

Practice with your own problems

Dedicated AP Teacher access

Teacher messaging

Custom practice from your teacher

Teacher-reviewed AI problems

AP FRQ practice sessions

Join Vault

70% of Vault revenue goes directly to AP Teachers

Start the loop.

Practice. Get honest feedback. Get unstuck. Get fluent.

Start Practicing

Pro is free during pilot · Just math

THE RESEARCH

Students who explain their reasoning show 2.4× greater transfer to novel problems.

Rittle-Johnson & Alibali (2001), Journal of Educational Psychology

Process-based assessment predicts long-term math achievement more reliably than answer-only grading.

National Mathematics Advisory Panel (2008)

COGNITIVE SCIENCE

Retrieval practice with targeted feedback at the point of failure produces stronger long-term retention than re-studying or watching videos.

Roediger & Butler (2011), Trends in Cognitive Sciences

Students receiving misconception-targeted intervention show 2.8× faster error correction than those receiving generic instruction.

Booth et al. (2013), Journal of Educational Psychology

TARGETED INTERVENTION

Misconception-targeted feedback at the point of error corrects faulty reasoning 2.8× faster than generic re-instruction.

Booth et al. (2013), Journal of Educational Psychology

SELF-DIRECTED LEARNING

Student-generated problem posing significantly improves problem-solving performance and conceptual understanding.

Cai & Hwang (2020), Educational Studies in Mathematics

CURRICULUM DESIGN

Prerequisite-aware sequencing reduces time-to-mastery by 34% compared to linear curricula.

Scheines et al. (2014), Educational Data Mining

Kinora: 6 domains, 42 units, 136 skills. Algebra I through AP Calculus + Geometry.

FEEDBACK RESEARCH

Feedback on process has a larger effect size than feedback on task correctness alone.

Hattie & Timperley (2007), Review of Educational Research

TEACHER EXPERTISE

Teacher-designed adaptive systems outperform purely algorithmic ones in conceptual understanding outcomes.

Koedinger et al. (2012), Cognitive Science