Explanation & Modelling

Example First

Show an example before the definition, so the new idea has something to stick to

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The steps

  1. Choose one clear example before you plan the explanation. Pick an instance that shows the feature you will define, with as little else going on as possible. Two fractions with unlike denominators, one strong opening paragraph, one circuit that will not light. At this stage, a clear example is worth more than an interesting one.
  2. Open with the example and give the class a job. Show the example before you say or write the term, and set a short task on it: comparing, attempting, or describing what they notice.
    Nothing to write yet. Look at these two fractions: three quarters and five sixths. Which is bigger? Convince your partner.
  3. Steer the class towards the feature you will name. Ask questions that draw attention to the part of the example the definition describes. "What did we have to do to the quarters before we could compare them?" If the discussion drifts towards surface details, narrow the question.
  4. Give the definition while the example is still up. Say the term and connect it to what the class has just done. Then write the definition where everyone can copy it.
    What we just did has a name. We rewrote both fractions in twelfths, and twelfths works for both of them, so we call it a common denominator.
  5. Test the definition on a second example. Show a new instance and ask every student to apply the term to it. Change the surface details so that students meet the idea in more than one form.
  6. Fade the concrete as the class gains instances. Make later examples leaner, moving from the drawn diagram to the bare numbers. Once the class holds several instances, a new definition can come first and students can supply the example.

How you’ll know it’s working

  • The example goes up and is discussed before the term is said or written; a visitor could reconstruct the order from the board.
  • Students describe the feature in ordinary words before they hear its name.
  • When asked the next day for a fresh example of the term, at least half the class can produce one.
  • Definitions in books and exit tickets appear with an instance beside them.

Weigh it up

Why it’s worth it

  • Definitions tend to hold. An abstraction met through an instance is stored with that instance, so students can rebuild the idea later rather than reciting a sentence they cannot use.
  • It answers "why are we learning this" before anyone asks. The example sets up a small problem, and the definition arrives as its solution, which gives dry terminology a purpose.
  • The example phase doubles as a check on prior knowledge: how the class handles the instance shows you what they already know before you commit to a full explanation.
  • It costs almost nothing to adopt. Most lessons already contain both the example and the definition, so the change is usually a reordering of material you already have.
  • It gives students who freeze at abstraction a way in. Everyone can say something about two fractions on the board, so the opening discussion draws in more of the room.

The costs

  • Choosing the first example is genuine planning work. The instance has to show the feature cleanly, and your favourite example is often the wrong opener because its details distract.
  • It is a few minutes slower per definition than simply stating the term, and in terminology-heavy topics those minutes add up.
  • A class that already half-owns the idea gains little from the run-up and may read it as delay.
Worth it when
the concept is abstract and genuinely new, the class recites definitions it cannot use, or the next topic introduces several technical terms in a short space of time.
Think twice when
the definition is only a label for something the class already does easily, or students are deep enough into a topic that instances come easily to them. In that case, stating the term and asking the class for the examples is quicker.
classtested.com/techniques/example-first — steps, signs it’s working, and trade-offs on one page. Ratings and discussion online.

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