Transfer: Helping Children Use Learning in New Problems
By NeurofiED Editorial Team · Reviewed by NeurofiED Learning Science Team
NeurofiED resources are written for UK 11+ families and reviewed against the platform's retrieval practice, spacing, interleaving and feedback principles.
A practical guide to helping children recognise and adapt prior English and Maths learning when new problems change the context or representation.
Transfer happens when a child recognises that earlier learning is useful in a problem that looks different, then adapts it rather than waiting for an identical example. Parents can prepare for this by teaching the underlying idea clearly, comparing examples, changing one feature at a time and asking the child to explain what stays the same. Varied practice is useful when the variation reveals structure; a random collection of hard questions is not.
Transfer is not a separate “thinking skill” that can be trained in the abstract and expected to spread everywhere. It depends on relevant knowledge. A child needs something accurate to transfer, enough understanding to notice the connection, and practice choosing that knowledge in fresh contexts.
Contents
What transfer means
The National Research Council defines transfer as extending what has been learnt in one context to new contexts. Its synthesis also emphasises that initial learning is necessary, that knowledge tied too narrowly to one context can be difficult to use elsewhere, and that learning with understanding supports transfer better than merely memorising isolated facts or procedures.[6]
For an 11+ learner, a new context might involve:
A correct answer to a near-copy shows that the child can repeat that route. A transfer question asks something more: can they identify the relevant structure when surface details change?
This is why transfer should be treated as an active decision. The child has to notice, “This is like the earlier problem because…”, select a method and check whether it still fits. The source describes transfer as an active, dynamic process rather than a passive end-product.[6]
Why familiar learning can stay stuck
Imagine a child has learnt to find three quarters of 28 from a worksheet headed Fractions of amounts. They can calculate `28 ÷ 4 × 3 = 21`. Later they meet: “Twenty-eight seedlings are planted. Three quarters survive. How many survive?” The arithmetic is unchanged, but the heading, layout and vocabulary are different.
If the child freezes, it does not prove that nothing was learnt. It shows that the earlier knowledge is not yet being selected independently in this context. The response should be diagnostic: ask what is known, which relationship matters and which earlier example might help.
The source reports that transfer across contexts is especially difficult when a subject is taught in only one context. It says that teaching across multiple contexts, with examples showing wider application, can help learners abstract relevant features and build a more flexible representation.[6] That supports purposeful variation, not endless novelty. The examples should be different enough to reveal what matters but similar enough to compare.
Prior knowledge can also help or interfere. A familiar cue may lead to the wrong method: a child who sees “altogether” may add automatically, even when the problem asks for the original quantity before some were removed. The useful habit is not “spot a word and act”; it is “represent the relationship, choose a method, then test it”.
A practical sequence for varied examples
Use this sequence after an idea has been taught.
This is an editorial home-practice routine, not a tested dosage from source [6]. Its purpose is to make the selection process visible.
For facts and methods already taught, retrieval practice can help a child bring knowledge to mind. Transfer adds another demand: deciding when and how that knowledge applies.
English example: carrying inference into a new setting
Start with a short passage:
> Mina folded the invitation twice, slid it beneath a pile of receipts and changed the subject when her brother entered.
Question: What can you infer about Mina’s attitude to the invitation?
A checked answer is: Mina probably wants to hide the invitation or avoid discussing it. Folding it and placing it beneath receipts suggests concealment; changing the subject when her brother enters adds a second detail showing avoidance. “Mina dislikes parties” is possible, but the passage does not establish it.
Now vary the setting:
> At the edge of the pitch, Leon tucked the team list inside his coat. When his friend asked who had been selected, Leon stared at his boots and said the bus was late.
The objects and setting change, but the reasoning structure remains: combine actions and dialogue to infer reluctance to reveal information. A checked answer is: Leon seems unwilling or uncomfortable about discussing the team list, supported by hiding it, avoiding eye contact and diverting the conversation.
Ask the child to compare:
Then add a non-example:
> Noor put the recipe under a glass bowl so that the window breeze would not move it.
Something is placed under something else, but concealment is not the best inference because the sentence gives a practical reason. The transfer target is linking details to a justified inference, not treating one action as a universal code.
Maths example: seeing the same fraction structure
Teach the direct form first:
Find `3/5` of 40.
The denominator is 5, so divide the whole into five equal parts: `40 ÷ 5 = 8`. Three parts are required: `8 × 3 = 24`. Check: `1/5` is 8, so `3/5` is 24, which is less than the whole 40.
Now change the surface:
A library display has 40 books. Three fifths are fiction. How many fiction books are there?
The story still gives a whole of 40 and asks for three of five equal parts. The same calculation gives 24 fiction books.
Change the representation again:
A £40 collection is shared so that three fifths goes to the first project. How much does that project receive?
`£40 ÷ 5 = £8`; `£8 × 3 = £24`. The units change, but the fraction structure does not.
Now use a close non-example:
Twenty-four books are three fifths of a display. How many books are in the whole display?
Here 24 is not the whole; it is three parts. Find one fifth: `24 ÷ 3 = 8`. Find five fifths: `8 × 5 = 40`. The answer is 40 books. Applying `24 ÷ 5 × 3` would copy the visible numbers without reading their roles.
The key comparison is: “Am I given the whole and finding a fraction, or given the fraction and finding the whole?” This distinction transfers more reliably than a remembered string of button presses.
Explore additional teaching structures in the science behind learning.
Compare cases, including a non-example
Comparison works best when the child must state the relationship. Place two problems side by side and ask:
Do not always compare two matching examples. Pairing an example with a non-example can sharpen the boundary. In English, contrast an inference supported by two details with a guess based on background assumptions. In Maths, contrast “find `3/5` of 40” with “24 is `3/5` of what?”
After the comparison is secure, separate the cases. Transfer has not been demonstrated if the matching example always sits beside the new question and points to the method. Give a fresh problem later, without a label, and let the child decide what prior learning is relevant.
Parent actions
Before practice, choose one taught idea and check that your child can explain it in a familiar case. If they cannot, return to teaching rather than disguising missing instruction as a transfer challenge.
During practice:
End by asking your child to invent a new example that keeps the structure but changes the surface. Check it together. Creating a valid variation can reveal whether the child understands what must stay constant.
Common mistakes and adjustment cues
Changing everything at once. New vocabulary, layout, numbers and reasoning can overload the comparison. Change one or two features first, then widen the variation.
Using only cosmetic variety. Different names and colours do little if every question keeps the same wording and order. Vary the representation or decision while preserving the target idea.
Prompting with the method immediately. “Use fractions” removes the selection demand. Begin with “What do you know?” or “Which earlier problem could be useful?”
Treating any failure as lack of effort. If the child cannot solve the familiar case, teach. If they solve it but miss the link, compare. If they choose the right method but calculate inaccurately, correct that component.
Assuming broad transfer from unrelated activities. Practising one puzzle can improve performance on that puzzle without producing a general ability that automatically applies across English and Maths. Build transfer from relevant subject knowledge and explicit relationships, not a generic brain-training promise.
Frequently asked questions
Is a completely unfamiliar problem best?
Not at first. A useful transfer task has a discoverable relationship to prior learning. If every feature is unfamiliar, you cannot tell whether the difficulty is selecting known knowledge, understanding language or lacking new instruction.
Should I explain the connection?
Yes, when needed, but reduce help over time. You might first model the comparison, next ask guided questions, and later present a fresh case independently.
Does a correct answer prove transfer?
Not by itself. The child may have guessed or followed a surface cue. Ask for the reasoning and later test another context without announcing the method.
How much variety is enough?
There is no universal number in the approved source. Stop counting examples and inspect what the child can distinguish: the invariant, the changing details, the method boundary and a sensible check.
Next step
Choose one recently taught English or Maths idea. Make a pair of problems that share the same underlying relationship but differ in setting or representation, then add one close non-example. Ask your child to compare before solving. See the science.
Sources
[6] https://nap.nationalacademies.org/catalog/9853/how-people-learn-brain-mind-experience-and-school-expanded-edition
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