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Interleaving: mixing problem types instead of blocking them

Practising several kinds of problem in a mixed order produces better performance later than working through one kind at a time, even though blocked practice feels smoother while you do it. The effect is strongest in subjects where the hard part is recognising which method a problem needs.

What the experiment showed

Rohrer and Taylor taught students to compute the volumes of four solids and then gave them practice problems either blocked by solid type or shuffled together. During practice the blocked group performed far better, which is what makes blocking so appealing. One week later the shuffled group substantially outperformed them on a test. The mechanism is the part worth understanding: when problems are blocked you already know which formula applies before you read the question, so you never practise the step of working out which method the problem needs. That step is precisely what an exam demands.

It replicates in a real classroom

The 2007 study was a laboratory result, and laboratory results in education frequently thin out in practice. Rohrer, Dedrick and Stershic ran interleaved practice into an actual middle-school mathematics course over several months and found the advantage held on a delayed unseen test. That is a meaningfully stronger claim than the original, because it survived homework, absences, and everything else that makes real teaching different from an experiment.

When it helps and when it does not

Interleaving helps most where problem types are confusable and the difficulty lies in discrimination — mathematics, physics, chemistry, statistics, any subject where the question does not announce its method. It helps less, and can hinder, when you are learning a genuinely new procedure for the first time and have not yet got it working at all. The reasonable sequence is to block briefly while acquiring a method, then interleave it with everything else you know. Expect the mixed practice to feel worse and your accuracy during practice to drop; that is the same fluency illusion that makes rereading feel productive.

Put it to work

Frequently asked questions

Does interleaving work for subjects other than maths?

The strongest evidence is in mathematics and in perceptual categorisation tasks, both of which turn on telling similar things apart. It plausibly extends to any material where the challenge is choosing between confusable categories, but the evidence base outside those areas is thinner, and it would be overstating the research to promise the same effect everywhere.

How do I interleave if my textbook is organised by chapter?

Work the exercises out of order. Take a handful of problems from each of the last several chapters and shuffle them, or use past papers, which are naturally mixed. The organisation of a textbook serves teaching the material the first time, and it stops serving you once you are practising rather than learning.

My accuracy drops when I mix problems. Am I doing it wrong?

That drop is expected and is not evidence against the technique. In the original study the blocked group practised more accurately and tested worse a week later. Practice-session accuracy measures how easy the session was, which is a different thing from how much of it you will retain.

Should I interleave while learning something for the first time?

Usually not. If you cannot yet execute a method at all, some blocked practice to get it working is sensible. Interleaving addresses the separate skill of selecting the right method, which only becomes the bottleneck once you have several methods available to confuse.

Sources

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