Adaptive Math Practice For Your Child

The word covers three different products

"Adaptive" is used for at least three unrelated behaviors, and knowing which one you are being sold is most of the evaluation.

The first is difficulty adjustment. Get questions right and the next ones are harder; get them wrong and they are easier. This is the version most products mean, and on its own it mostly measures how far up a ladder a child can climb today.

The second is branching on prerequisites. A wrong answer does not just lower the difficulty — it changes the subject, to whatever the missed question was built out of. This is a different operation, and it is the one that answers a parent's actual question, which is not how hard but which part.

The third is scheduling. The system decides when something returns, spacing repetitions so that things are revisited just as they start to fade. Some products do this well and many claim it while simply reshuffling.

A system can do one of these and not the others. Asking which of the three is running is a fairer question than asking whether something is adaptive.

What adapts here, step by step

Before the check starts, you say which year band the child is in, and that sets where the questions open. It does not restrict what can be asked — it decides the entry point, so an older student does not spend three minutes on place value before anything informative happens.

The questions are then ordered so that ones written for that band come first, with easier items behind them. Twenty questions are asked, drawn from a bank covering eighteen skills.

The branching is the part that does the work. Six of the skills carry an explicit list of what they are built from, and missing one of those sends the next questions to the prerequisites instead of onward.

Afterward, each skill that was touched gets a percentage and falls into one of three bands: 80 or above is mastered, 50 to 79 is practicing, below 50 is still learning. The lowest-scoring skill that other skills sit on top of is named as the biggest opportunity, and practice begins there rather than at whatever the class is doing this week.

What happens on a wrong answer during practice

Nothing is revealed. The response to an error is a hint, a smaller version of the same question, or a comparison with a case the child already handles — because a worked solution ends the episode, and the episode is where the learning was going to happen.

Certain errors are recognized specifically. Adding the denominators together, subtracting them, picking a common denominator that is not common, simplifying by a factor that is not the highest one, dropping a sign when a negative appears. These are treated differently from a random slip, because a rule applied consistently is not corrected by being told the right number once.

What adaptivity cannot do, and it is worth saying

It cannot tell a tired child from a confused one. A bad session at nine in the evening produces bad data, and the system will believe it.

It cannot see a lucky guess. A multiple-choice item answered correctly by elimination scores the same as one answered by knowing, which is why a result should never be taken as precise to the point.

It cannot know what your child's class is covering next week. No system that does not read your district's pacing guide can, and any product implying otherwise is describing a coincidence.

It cannot tell you why. A low score on integers is compatible with a missing concept, an attention difficulty, a bad teacher year, a period of absence, or a child who has decided the subject is not for them. Those need different responses, and separating them is a human job.

And it does not diagnose. A band on a report is a description of twenty questions on one afternoon, not a finding about a child, and it is not evidence of a learning disability or of anything else that belongs to a professional.

How to use it without wrecking it

Keep sessions short and frequent rather than long and occasional. The thing being built is automaticity, and automaticity responds to spacing, not to duration.

Let the child be wrong. A parent who supplies the answer to end the discomfort converts an adaptive system into an ordinary worksheet, since the branching only has something to work with when the errors are genuine.

Re-check rather than trusting one result. A second check a few weeks later, compared against the first, tells you more than either one alone — and specifically tells you whether something has actually moved up a band or was only right on the day.

Questions about adaptive practice

Does it get harder forever if my child does well?

No. The point of the ordering is to find the working edge, not to climb indefinitely, and a session that becomes uniformly hard has stopped producing information.

My child likes it too much. Is that a problem?

Only if the questions have stopped being difficult. Practice that is comfortable is practice that is no longer doing anything, and the honest signal is whether hints are still occasionally needed.

Can we just practice the topic the teacher assigned?

You can, but that is not what this is for. Aiming practice at the current unit is what school already does, and the reason to check prerequisites is that the current unit is frequently not where the problem is.

Is it the same as the free check?

The check finds the starting point in about twelve minutes; practice is what happens afterward. They use the same skill map and the same prerequisite relationships.

Related

• The free learning check — the twenty-question starting point
• Middle school math — the chain the branching follows
• Tracking math progress — reading the second result