https://www.nytimes.com/2011/09/11/opinion/sunday/quality-homework-a-smart-idea.html?_r=2&pagewanted=all

> Another common misconception about how we learn holds that if information 
> feels easy to absorb, we’ve learned it well. In fact, the opposite is true. 
> When we work hard to understand information, we recall it better; the extra 
> effort signals the brain that this knowledge is worth keeping. This 
> phenomenon, known as cognitive disfluency, promotes learning so effectively 
> that psychologists have devised all manner of “desirable difficulties” to 
> introduce into the learning process: for example, sprinkling a passage with 
> punctuation mistakes, deliberately leaving out letters, shrinking font size 
> until it’s tiny or wiggling a document while it’s being copied so that words 
> come out blurry.
>
> Teachers are unlikely to start sending students home with smudged or 
> error-filled worksheets, but there is another kind of desirable difficulty — 
> called interleaving — that can readily be applied to homework. An interleaved 
> assignment mixes up different kinds of situations or problems to be 
> practiced, instead of grouping them by type. When students can’t tell in 
> advance what kind of knowledge or problem-solving strategy will be required 
> to answer a question, their brains have to work harder to come up with the 
> solution, and the result is that students learn the material more thoroughly.
>
> Researchers at California Polytechnic State University conducted a study of 
> interleaving in sports that illustrates why the tactic is so effective. When 
> baseball players practiced hitting, interleaving different kinds of pitches 
> improved their performance on a later test in which the batters did not know 
> the type of pitch in advance (as would be the case, of course, in a real 
> game).
>
>Interleaving produces the same sort of improvement in academic learning. A 
>study published last year in the journal Applied Cognitive Psychology asked 
>fourth-graders to work on solving four types of math problems and then to take 
>a test evaluating how well they had learned. The scores of those whose 
>practice problems were mixed up were more than double the scores of those 
>students who had practiced one kind of problem at a time.

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gwern
http://www.gwern.net

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