Mathematics diagnostics

A score tells you what.
ROOT tells you why.

ROOT is a mathematics diagnostic layer for coaching institutes. It doesn't just mark a test right or wrong — it reads how a student thinks, separates a real misconception from a simple knowledge gap, and hands the mentor one clear thing to teach next.

The signal a marksheet can't see confidence × correctness
Confident → Unsure
Right · Confident
Mastery
Knows it, and knows they know it.
Wrong · Confident
Misconception
Taught wrong, believes it. Highest priority.
Right · Unsure
Fragile
Got it, but doesn't trust it yet.
Wrong · Unsure
Knowledge gap
Hasn't learned it. Standard reteach.
WrongRight

Two students score 15/30. One marked every wrong answer "unsure" — knowledge gaps. The other was confident on most — misconceptions. Same score. Opposite fix. ROOT is built to tell them apart.

Score vs. diagnosis

The difference between a number and an answer.

A thermometer tells you there's a fever. A diagnosis tells you the cause and what to do about it. ROOT does the second one — for mathematics.

A normal test report
18/30

Tells you the level. Not the why, the where, or the what-next.

The same test, read by ROOT
Active misconception FRAC-ADD-01Adds numerators and denominators separately — 1/3 + 1/4 read as 2/7.
Confident on 4 of 6 fraction questionsThis is a belief, not a slip — more practice would reinforce the wrong rule.
Likely root cause — finding a common denominator, from an earlier gradeReteach there first, before the fraction work on top of it.
For the mentor: start the reteach here, name the 4 students who share itOne clear action, read in thirty seconds.

Illustrative example. ROOT only confirms a misconception when a student repeats the same error — see below.

On every question

Four signals, not one.

A score keeps only the first of these. ROOT keeps all four — which is where the diagnosis comes from.

01

Confidence

A one-tap "not sure" on every question. It's the signal that separates a misconception a student believes from a gap they already know they have — the difference between the two fixes.

02

The wrong answer itself

Each wrong option is mapped to a specific, known error. So a wrong choice doesn't just count against the score — it names the mistake behind it.

FRAC-ADD-01RATIO-02PERC-01ALGE-01
03

Cognitive demand

Every item is tagged for what it asks of the student — built on the TIMSS international assessment framework. So you can spot a student who can recall a rule but can't reason with it.

KnowingApplyingReasoning
04

An international reference

ROOT's items are designed against TIMSS — the largest international mathematics assessment — as a fixed reference point, so difficulty isn't just one person's guess.

Built to be defensible

We only flag what we can stand behind.

The fastest way to lose a teacher's trust is to send them to reteach something that was never really wrong. ROOT is built so that doesn't happen.

One wrong answer is a data point, not a diagnosis.ROOT marks a misconception "confirmed" only when a student repeats the same error across more than one question — and was confident doing it. Everything else is flagged "possible, look again."
Small numbers stay hidden.An average built on a handful of students is noise. ROOT suppresses figures it can't support, rather than dressing them up as insight.
Every claim survives "how do you know?"Nothing on a ROOT screen is there unless the data behind it holds up to the question.
For coaching institutes

Built to fit how your institute already works.

No new devices to buy, no accounts for children to manage. ROOT runs on a single test day and fits inside one class period.

Step one

A scheduled test day

Students sit a focused diagnostic in class — about forty minutes — on the devices the institute already has, proctored by their own mentor.

Step two

A six-character code

Each student logs in with a short access code. No emails, no passwords, and no personal data collected from children — designed for India's DPDP rules from the start.

Step three

A weekly mentor brief

The teacher gets the class's top reteach priorities, with the students who need each one named. Confirmed first, possibles kept separate.

Now onboarding

Bring ROOT to your institute.

We're working with a first set of coaching institutes around Dehradun and Haridwar. If you run one and want to see what your students' tests have been hiding, let's talk.