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Glossary

Worked example

A worked example is a problem shown with its full solution, written out step by step from start to finish. You see exactly how someone gets to the answer, so you can learn the method before you try a similar problem on your own.

Drafted with AI by the StudyPDF team. We check dates, numbers and research claims against official sources and read pages on a sample basis. How we write these pages

In more detail

Worked examples are great when a topic is brand new and you have no idea where to start. Instead of staring at a blank page, you watch the whole process unfold one step at a time. Your brain isn't busy panicking over what to do next, so it has room to actually notice why each step happens. That's how the method sticks.

The big mistake is reading a worked example and thinking 'yeah, makes sense' without really checking. It always looks easy when someone else does it. After each step, ask yourself why that step came next, and try to say it in your own words. Then cover the solution and redo the problem from scratch. If you get stuck, you found the exact spot you didn't really get.

You will also see this called a working example. In study skills it means the same thing: a fully solved problem you learn from before you solve your own, which is what research calls the worked-example effect. (In programming, a working example usually means a small piece of code that runs, which is a different idea.)

Example

Sofia is learning integration by parts in calculus and keeps freezing on every problem. She works through three solved examples in her notes, pausing after each line to ask why they picked that part as u. Then she covers the answer and does a fresh one herself, and this time she actually knows where to start.

How StudyPDF does this

Bo can pull worked examples straight out of your own lecture slides or textbook, with a link to the exact page so you can check the full context. Ask it to walk through one step by step, then have it give you a similar problem to try yourself.

Sources

  1. Sweller & Cooper (1985), Cognition and Instruction: Worked examples as a substitute for problem solving
  2. Atkinson, Derry, Renkl & Wortham (2000), Review of Educational Research: Learning from examples

See also

  • TermSelf-explanation
  • TermPractice test
  • TermRetrieval practice
  • TermReading comprehension
  • TermZone of proximal development
  • TermSchema (psychology)
  • TermCognitive load
  • TermScaffolding
  • AnswerHow do you memorize math formulas?
  • AnswerHow do you study calculus?

Common questions

Worked examples vs practice problems, which should I do?

Both, in that order. Start with worked examples when the topic is new so you learn the method without guessing. Once a few examples feel clear, switch to practice problems you solve yourself. Reading alone won't make it stick, you have to try one cold at some point.

How many times should I go through a worked example?

Until you can redo it with the solution covered and not get stuck. Usually that's two or three passes, not twenty. The goal isn't to memorize that one problem, it's to learn the steps so you can use them on a different one. Once you can do a fresh problem on your own, move on.

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