Cumulative review generation

Practise sets that always include older material, so last month’s topics do not silently disappear.

When to use this: While you practise
Learning impact: Reliable gain
Learning evidence: Strong research tradition
Where you are with the topic: Strengthening memory
How often to use it: Build and keep as a habit

When to use it

This week’s homework only covers this week, and older chapters are fading.
You want every practice set to drag one or two old items back into the light.
A midterm will span units and your revision is still siloed by week.

What to ask AI

Type something like: “Build today’s set: 70% current topic, 30% older items from [list]. No answers until I attempt. Flag anything old I fail for denser review.”

Give it a short list of older topics you must not abandon.

Ask it to keep old items mixed in, not parked in a separate “revision” section you skip.

How it helps

Cumulative review means new practice always carries some old weight.

Without it, each week overwrites the last in your attention, even if you “meant” to revise later.

A small mandatory slice of older items turns every session into light spacing.

Failed old items deserve denser dues, not a shrug and a move-on.

How to run it

Keep a short roster of older topics still in play for the term.
Ask for each practice set to include a fixed share of those older items.
Attempt the whole set before answers.
Log which old items failed.
Feed those fails into your next spaced dues or tomorrow’s cumulative slice.

Example exchange

You

For today’s practice, make most of it integration by parts, but slip in two older items from limits and the chain rule. Please wait for all my attempts before answers.

Eight items: six integration by parts, one limit, one chain rule, shuffled. Send all attempts when you finish.

You

I am done. I missed the limit item completely and got the rest.

I will keep limits in the next two cumulative slices and suggest a short spaced revisit tomorrow. Still want no full solutions unless you ask for the first error?

Copyable prompt

Build a practice set: about 70% on [CURRENT], about 30% older items from [OLD LIST].
Shuffle. No answers until I submit. Afterward, list which older items I failed
so I can schedule denser review.

The Tell

You will know the method has flipped when the “cumulative” set is all new work with a polite suggestion to revise old topics later.

Later never comes, and the method never ran.

Require older items inside today’s list, and treat a fail on an old item as a scheduling event.

Principle evidence

Strength of the underlying learning idea, not a claim about AI products.

Cumulative practice is spacing implemented as set composition: older material keeps returning inside new work. That supports retention across a course better than isolated weekly silos.

AI delivery evidence

Whether an AI tutor delivers this method well is a separate question.

There’s no strong separate literature on AI composing cumulative sets. The value is whether older items truly appear and whether you act on the fails.