What progress in maths measurably is

Progress in maths is four separate things

"Getting better at maths" sounds like one quantity going up. It is not. A child can improve on any of four axes independently, and only one of them shows up as a higher mark in the short term.

They can get a skill they did not have. They can do something with less help than before. They can still do it after a gap of days rather than only while it is warm. And they can do it when the question is dressed differently. Those are four claims, and a rising score on repeated similar questions supports only the first, weakly.

How a skill is scored, and what the bands mean

Each maths skill carries a score out of a hundred, and the score sorts into three plain bands. Eighty or above counts as mastered. Between fifty and seventy-nine counts as practising. Below fifty counts as learning. The words are deliberately ordinary, because a percentage on its own invites a parent to treat a seventy-eight as a disappointment rather than as a skill halfway secured.

The number moves on evidence rather than on activity. A correct answer with no help moves it by the full step. Each level of hint used reduces that step, though a correct answer always counts for something. Answering quickly adds a little, on the grounds that fluency is part of the skill. A wrong answer takes the score down, and repeating the same misconception takes it down further than making a new mistake — because a repeat is a rule that has not shifted, not a slip.

The largest single bonus in the whole scheme goes to getting something right three or more days after the last attempt. That is the retention axis, priced deliberately high. And no skill is treated as mastered from one good evening; it has to be earned across separate sessions, which makes a single lucky night impossible to fake.

Hints are the most sensitive measure you have

Long before a skill score crosses a band, the amount of help changes. The same question that needed a worked example last week needs only a nudge about where to look this week. That is real progress and it is invisible on a mark scheme, because both answers were right.

This is worth explaining to a child. Children usually assume taking a hint means failing. The more accurate framing is that needing fewer of them, or later ones, is precisely what improvement looks like, and that the alternative — sitting stuck in silence — produces no progress on any of the four axes.

Transfer is the one parents can test at home

You do not need the software for this, and it is the strongest single test available to a parent. Take a question the child got right. Change one number so the arithmetic is different but the method is identical. Hand it back.

A child who has the method starts immediately. A child who had memorised the particular case pauses, looks at the original, and tries to pattern-match. That pause is the whole diagnosis, and it takes thirty seconds.

A harder version changes the context rather than the number: the same ratio calculation about paint instead of about sweets. Failing that one is not a gap in ratio, it is a gap in recognising ratio when it is not announced.

Three ways the numbers flatter

A rising average on progressively easier work. Progress dashboards report what was attempted, and a child who drifts toward comfortable questions can produce a rising line while learning nothing.

A high score built on heavy help. If the hint counts are not visible alongside the scores, the score is not telling you how independent the child is.

And a score that has not been retested. A skill marked mastered in October and never seen again is a historical fact, not a current one. Spaced re-checks are what keep the picture honest, and it is why re-running a check weeks later is meaningful while re-running it the next day is not.

What the maths check contributes

Twenty questions across eighteen skills, in about twelve minutes, free and with no card. What it returns is a score for each skill, a shortlist of the weakest, and one skill named as the biggest opportunity — deliberately one, because a parent handed four priorities acts on none.

Run again after a few weeks of short practice on that one skill, it gives you a before and after on a specific thing rather than a general impression. That is a narrow claim and it is the only one worth making: this measures the eighteen skills it measures, from Year 5 to Year 9, and nothing beyond them.

• Tracking progress across subjects
• How adaptive practice chooses the next question
• The free maths check in detail
• Maths support

Questions parents ask about maths progress

The school says he is fine and the skill scores say otherwise.

The school is judging performance on the work set this term; a check probes foundations regardless of what was taught recently. A child can be handling current work well by compensating, and the compensation stops working later. Neither view is wrong.

How fast should a weak skill move?

Fluency with facts responds within weeks. A conceptual gap takes longer and the first sign is not the score — it is the child explaining the method without being prompted through it. If nothing has moved on any of the four axes in a term, change the target rather than the effort.

Is a mastered skill finished with?

No, and treating it that way is how gaps reopen. Anything mastered and then never revisited quietly decays. Occasional re-checking is cheap and is the only way to know.

Should I show my child the scores?

The direction, yes; the number, cautiously. Children who watch a percentage will optimise the percentage. What is worth showing them is the hint count coming down, because that is the part they can feel and act on.