Study methods
Interleaving: why mixing topics helps you learn
Most textbooks practise one kind of problem at a time: ten questions on topic A, then ten on topic B. Interleaving mixes them up. It feels slower and harder while you do it, and in study after study it leads to better results on the test. Here's what the research found, when mixing helps, when it doesn't, and how to use it in your own revision.
What interleaving is
Blocked practice works through one type at a time: AAA, BBB, CCC. Interleaved practice mixes them: ABC, CAB, BCA. In a maths course that might mean shuffling problems from the last four chapters instead of doing one chapter's problems in a row. In pharmacology it means reviewing several drug classes together, in law several doctrines, in a language several tenses.
Interleaving isn't the same as spacing, though the two travel together. Spacing is about when you come back to a topic: after a gap, not straight away. Interleaving is about what sits next to it. Mixing topics in a session spaces each of them out automatically, which is one reason it's hard to separate the two. See the forgetting curve for why gaps help.
What the research found
Maths problems
In a 2007 study, Doug Rohrer and Kelli Taylor taught college students to find the volumes of four unusual geometric solids. One group practised the problems in blocks, one kind at a time. The other practised the same problems shuffled. During practice the blocked group did better. On a test a week later, the interleaved group did far better.
The same pattern has turned up with schoolchildren. Taylor and Rohrer found it in 2010 with fourth-graders solving problems about prisms. In a 2015 classroom study, Rohrer, Robert Dedrick and Sandra Stershic gave seventh-grade classes either blocked or interleaved homework over several months. The interleaved students scored higher on a later test, and the advantage was bigger when that test came a month later rather than the next day.
Paintings
In 2008, Nate Kornell and Robert Bjork had people study paintings by twelve artists, either all of one artist's paintings in a row or all of them mixed. Then they showed new paintings and asked who painted each one. The people who had studied the mixed set were better at it. Yet when asked afterwards, most of them said the blocked order had helped them more.
A meta-analysis
A 2019 meta-analysis by Marion Brunmair and Tobias Richter pooled the studies to date. Overall, interleaving helped. But how much depended on the material: the benefit was largest for things that look alike and are easy to confuse, such as paintings by different artists, smaller for maths, and absent or even negative for some materials, such as lists of words.
Why mixing helps
Blocked practice tells you which method to use before you start. If every problem on the page is about cones, you never have to ask whether this one is a cone problem. An exam doesn't tell you. Interleaving makes you practise that choice, over and over, and makes you notice the features that set one type apart from another.
The same goes for categories. Studying beta-blockers, then ACE inhibitors, then calcium channel blockers, each in its own block, never asks you to tell them apart. Mixing them does, and telling them apart is what the exam question will need.
Robert Bjork calls effort like this a desirable difficulty: it makes practice harder and slower, and it makes learning last. It's also why interleaving is so rarely used. It feels like it isn't working, exactly as the painting study showed.
When it doesn't help
- When you haven't learned the basics yet. Learn a new method in a short block first, then mix it in once you can do one example on your own.
- When the topics have nothing in common. Mixing anatomy with French verbs doesn't teach you to tell anything apart; it only switches context.
- When there's no choice to make. If every problem in a course uses the same method, mixing adds little.
- When you're learning simple word lists. The meta-analysis found little benefit, or a cost, for words. Spaced flashcards suit vocabulary better.
How to interleave your revision
- Learn each new method or topic in a short block first, until you can do one example without help.
- Then mix: build practice sets from the last few chapters, shuffled, so you don't know which topic comes next.
- Before solving, name the type: “This is a related-rates problem”, “This is a calcium channel blocker, not a beta-blocker”. That decision is the skill you're training.
- Put the things you confuse side by side on purpose: similar drugs, similar diagnoses, similar legal tests, similar tenses.
- Use past exam papers. They're already interleaved, and they show how topics are mixed in your course.
- Review your flashcards across topics in one session, instead of one deck at a time.
Examples by subject
| Subject | Blocked | Interleaved |
|---|---|---|
| Maths | Twenty integration-by-parts problems in a row | Integrals from three chapters, shuffled, naming the method first |
| Medicine | One drug class per evening | Similar drugs from several classes, compared side by side |
| Law | All offer-and-acceptance cases, then all consideration cases | Fact patterns where you decide which doctrine applies |
| Languages | One tense per worksheet | Sentences that need either the past simple or the present perfect |
Interleaving with flashcards
A spaced repetition scheduler interleaves for you. The cards due today come from different lectures and weeks, so reviewing all of a course's due cards together, rather than one lecture at a time, gives you mixing for free.
Cards that compare two things are interleaving inside a single card: “How does a beta-blocker's effect on heart rate differ from a dihydropyridine's?” FlashCardz writes cards like these when you miss one. The next night the idea comes back from a new angle, and one of those angles sets it against what it's easily confused with. See how the AI flashcard generator works.
Questions
Is interleaving the same as spaced repetition?
No, but they work well together. Spacing is about the gap before you see something again; interleaving is about mixing different topics in one session. Mixing topics also spaces each of them out.
Why does interleaving feel harder?
Because you have to work out which method or category each question belongs to, and you can't ride a streak of identical problems. That effort is part of why it works.
Should I interleave from day one?
Usually not. Learn a new method on its own first, then start mixing it with earlier topics once you can do it without help.
Does interleaving work for languages?
For telling similar forms apart, such as two past tenses, mixing helps. For learning lists of new words the evidence is weaker, and spaced flashcards are the better tool.
Sources
- Rohrer, D., & Taylor, K. (2007). The shuffling of mathematics problems improves learning. Instructional Science, 35(6), 481–498. doi.org/10.1007/s11251-007-9015-8
- Taylor, K., & Rohrer, D. (2010). The effects of interleaved practice. Applied Cognitive Psychology, 24(6), 837–848. doi.org/10.1002/acp.1598
- Rohrer, D., Dedrick, R. F., & Stershic, S. (2015). Interleaved practice improves mathematics learning. Journal of Educational Psychology, 107(3), 900–908. doi.org/10.1037/edu0000001
- Kornell, N., & Bjork, R. A. (2008). Learning concepts and categories: Is spacing the “enemy of induction”? Psychological Science, 19(6), 585–592. doi.org/10.1111/j.1467-9280.2008.02127.x
- Brunmair, M., & Richter, T. (2019). Similarity matters: A meta-analysis of interleaved learning and its moderators. Psychological Bulletin, 145(11), 1029–1052. doi.org/10.1037/bul0000209
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