I Would Not Hire Your Child’s Teacher

And why that standard exists entirely to protect your child.

This article expands on a private letter sent to our SingMath parents. Read the original letter here.

There is a sentence I have written to parents privately — one I have been reluctant to say loudly, because it sounds, on first reading, like arrogance. It is not. It is the most protective thing I know how to tell you.

I would not hire your child’s math teacher.

Not the one at their school. Not the one from the well-reviewed tutoring center down the road. Not the engineer with the master’s degree who “loves math.” In the years I have spent building and defending the standard that every SingMath educator must meet before they ever sit with a student, I have administered our assessment to hundreds of candidates. Engineers. Certified teachers. People who teach college calculus. And the pattern is consistent enough that I no longer find it surprising — only sobering.

We Are Not in the Business of Training Tutors on Your Child’s Time

Imagine this: a man in his late thirties sits across from me. He is warm, credentialed, and genuinely enthusiastic. He has a master’s in electrical engineering. He has tutored math for six years. He slides the sheet toward himself — a single fifth-grade Singapore Math competition problem — and picks up his pencil with confidence.

He solves it. Eventually. But when I ask him to draw the structure of the problem before touching a single number — to show me the relationship between the quantities using a bar model, to make the logic visible before the arithmetic begins — the pencil goes still. He looks at the paper. He looks at me. He tries to begin three separate times.

He cannot do it. Not because he isn’t intelligent. He is very intelligent. He cannot do it because he was never taught to think this way. His entire mathematical education — from elementary school through graduate study — rewarded him for arriving at correct answers. It never required him to hold the architecture of a problem in his mind before computing anything.

The moment the pencil goes still. Our assessment reveals what credentials cannot.

This is the system that trained him. And it is the same system that trained your child’s teacher — who is, right now, passing that same invisible limitation forward.

What the Assessment Actually Reveals

There is a critical distinction that most parents have never been asked to think about: the difference between procedural fluency and conceptual architecture.

Procedural fluency is the ability to execute a set of learned steps to arrive at a correct answer. It is valuable. It is not sufficient. A student — or a teacher — with strong procedural fluency can solve the problems they have seen before. When the problem changes in structure, when the numbers become less friendly, when the word problem requires them to build the equation rather than recognize a pattern, procedural fluency reaches its limit.

Conceptual architecture is different. It is the ability to see a problem as a relationship between quantities — to model that relationship visually before a single number is moved — and to reason from structure. Bar modeling, the visual cornerstone of the Singapore Math method, is not a shortcut to the answer. It is a discipline that forces the solver to understand what the problem is actually asking before they attempt to answer it.

Our assessment tests for this. It presents problems that require a candidate to demonstrate visible structural reasoning — not just a correct final answer, but the architectural thinking that made the answer inevitable. Most credentialed educators in the United States have never been asked to perform this. Many cannot. Not initially.

What We Look for Instead

We look for educators who are comfortable in the pause. Who can sit with a student’s confusion without rushing to fill it. Who understand that the moment a child’s cursor hovers over a digital bar model on the shared screen — not moving, not clicking, just thinking — is not a failure state. It is exactly where the work is happening.

In our small groups of up to six students, this becomes a collective experience. When one child in the Zoom grid goes still and quiet over a problem, their peers are watching. They are in their own versions of the same productive struggle. The teacher who understands architectural thinking can hold all six of those pauses simultaneously — not anxious, not redirecting, but genuinely trusting that each child is in the exact right place.

The cursor hovering. The productive pause. This is the SingMath classroom.

We also look for educators who have genuine command of the CPA progression — Concrete, Pictorial, Abstract — the pedagogical sequence that takes a child from counting drawn stars on a worksheet, to reasoning about those quantities as bar segments on a screen, to eventually operating on pure numbers with full comprehension. This progression does not happen accidentally. It requires a teacher who has internalized the sequence themselves and can recognize, in real time, where each child sits within it.

What This Means for the Choice in Front of You

Nearly 50% of U.S. students who declare a STEM major leave before graduation (Chen, 2013). The evidence does not point to a sudden loss of interest. It points to a foundation that was never deep enough to support what came next — a mathematical architecture that was procedural all the way down, and cracked when the problems stopped looking familiar.

Our students are working one to two years ahead of their U.S. grade level. Our seven-year-olds are mastering multiplication — something U.S. public schools typically introduce at age eight or nine. But the advancement is not the point. The point is that the understanding underneath the advancement is real. It has been tested. It has been built correctly. And it will hold.

You now know something you did not know before you read this. You know that credentials are not the same as comprehension. You know that the person teaching your child should be able to demonstrate, visibly and explicitly, the same architectural thinking they are asking your child to build. And you know that at SingMath, we hold that standard before a teacher ever meets a student — not afterward.

That is not arrogance. That is the least we owe you.

With honesty, deep respect, and a firm belief in what your child deserves,
Leeling
Director of Education & Academic Standards
SingMath Tutoring, home of Singapore Math Classes & Camps