The edge of a student's ability
Challenged, engaged, and making honest attempts. Too easy is boredom; too hard is panic. Learning lives in between.
How we turn mistakes into momentum
Learn how Taitor diagnoses why a student is stuck and responds with the right next step instead of simply giving the answer.
Keep the student in the productive struggle
The productive struggle is the sweet spot of learning: the zone just beyond what a student can already do, where a problem is hard enough to demand real thinking but not so hard that they shut down. Psychologists call it desirable difficulty: durable learning comes from effortful retrieval and productive mistakes, not from watching a worked example feel easy.
Productively stuck, not lost
A student in the zone pauses, frowns, then tries something—they are reaching. A student who has fallen out goes silent, guesses randomly, copies without understanding, or gives up.
The next useful move
Instead of the answer, Taitor offers a hint, question, or diagram that returns the student to the edge of their ability. Stuck on a prerequisite? We step back and close it first.
The mistakes we help students catch
Not all wrong answers are the same. Knowing why a student got it wrong is the whole game: each type needs a different response.
Slips and careless errors
Right method, wrong arithmetic or sign. Spot it when the working is inconsistent and the student fixes it instantly when asked to recheck. Slow down, estimate first, and check the answer is reasonable.
Misconceptions
A faulty mental model—for example, “multiplying always makes bigger.” Spot it when the student is confident but consistently wrong. Confront it with a counterexample and rebuild the idea.
Procedure breakdowns
The student knows the concept but loses the steps when solving equations, using long division, or rearranging. Rebuild with worked steps and short fluency practice until the routine is automatic.
Misreading the question
The student answers a different question. Spot correct maths aimed at the wrong target. Underline command words and restate what is actually being asked before starting.
Prerequisite gaps
Today's topic fails because an earlier skill is missing—fractions under algebra, or place value under decimals. Trace back, close the root gap, then return.
Assessment-technique gaps
The student knows the maths but loses credit through hidden working, poor time management, or rounding too early. Practise under timing and make the reasoning visible.
The gaps we close
Behind almost every stuck student is a gap in one of four places. Taitor's job is to find which one and close it.
Prerequisite gaps
Missing earlier-year skills that quietly block the new topic.
Conceptual gaps
The “why” is missing, so the method has nothing to hold on to.
Fluency gaps
The idea is there but too slow or effortful to use under pressure.
Assessment-technique gaps
Understanding does not yet translate into clearly communicated working.
Diagnostic flow
Our flow traces a single wrong answer back to its root cause—slip, misconception, procedure, misreading, or missing prerequisite—and routes the student to the right fix.
Founding 100
The first 100 members pay $29/month instead of $49/month for one student. Keep the $29 rate while your membership remains active.