Methods · Generative practice & retrieval
B5
Near-transfer problems
Solve close variants of a studied example so you learn the method, not the one problem’s numbers.
When to use it
- You can follow the worked example, then stall when one number or surface detail changes.
- Homework clones the example too closely and you want a slightly shifted twin.
- You suspect you memorised steps rather than the decision points.
- You are not ready for wild new contexts, but you are ready to leave the exact example behind.
What to ask AI
Type something like: “Here is the example I studied. Give me a near variant: same structure, changed numbers/context. No solution until I try.”
Ask it to keep the same principle and only change surface details.
Refuse far-transfer twists until near variants feel steady.
How it helps
Near transfer means the same idea in a lightly changed dress.
If you only ever solve the identical example, you practised copying, not method.
Small changes expose which steps you understood and which you only mirrored.
Master near variants before you chase dramatic new contexts.
How to run it
- Paste or describe the example you can currently follow.
- Ask for a near variant with the same structure and new surface details.
- Solve without looking at the original solution.
- Compare where you hesitated, those are the real teaching points.
- Take another near variant, or step up to a farther transfer only when near ones feel calm.
Example exchange
I can follow this worked example: find dy/dx for y = (2x+1)³. Can you give me a near variant, same idea, different numbers, and hold the solution until I try?
Find dy/dx for y = (5x−3)⁴. Attempt it fully before asking for checks.
I got 4(5x−3)³·5. I was not sure whether the chain-rule factor is 5 or −3.
Name the inner function and its derivative in one line. That settles the factor before we change the example again.
Copyable prompt
Here is an example I can follow: [EXAMPLE].
Give me ONE near-transfer variant (same principle, changed numbers or surface
context). Do not solve it. Wait for my attempt.
The Tell
You will know the method has flipped when “near variant” still means the AI walks you through every step beside the new numbers.
Then you practised watching again, not transferring.
Hide the original solution, change one number yourself if needed, and finish an attempt before any hint.
Principle evidence
Strength of the underlying learning idea, not a claim about AI products.
Transfer research distinguishes near from far: nearby variants test whether a procedure is flexible. Practicing close variants after a worked example is a standard bridge toward independence.
AI delivery evidence
Whether an AI tutor delivers this method well is a separate question.
AI is convenient for minting variants. Whether a variant is truly “near” is something you judge by feel, if it needs a new principle, say so and ask for a closer twin.