Non-Examples
Show cases that almost fit alongside cases that do, so students learn the boundary
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What is it?
Non-Examples means teaching a concept with cases that sit just outside its boundary alongside cases that sit inside it. Given only correct examples and a definition, students tend to build a rule of their own, and that rule is usually too broad: every sentence with 'like' becomes a simile. A near-miss that fails on exactly one feature shows the class where the boundary runs before the too-broad rule can settle in.
The steps
- Write down the misconception first. Predict the wrong rule students are likely to build if they only ever see correct cases. In English it is often "a simile is any sentence with 'like'". Your non-examples exist to break that rule, so name it before you plan anything else. If you cannot predict it, last year's wrong answers will usually tell you.
- Choose near-misses that fail on one feature only. A useful non-example matches your true examples in everything except the one feature that matters. "He looks like his brother" contains 'like' and a comparison, yet it is not a simile, because the comparison is literal. Keep every case close enough that some students would genuinely say yes to it.
- Teach the clear examples before the edges. Show two or three true cases and name the feature that makes them count (Example First). Students need a firm picture of the concept before you begin to test its boundary.
- Show a true example and a near-miss side by side. Ask the class to find the difference, and give thinking time before you take an answer.Both of these use the word 'like'. One is a simile and one is not. Thirty seconds with your partner: which is which, and what is the difference?
- Have everyone classify a mixed run. Show six to eight cases one at a time, in an unpredictable order: true examples, near-misses, and one or two easy cases. Everyone answers every time, on boards or with a thumb (Show-Me Boards). After each verdict, ask one student for the reason:Not a simile. What is it missing?
- Return with new boundary cases later. In the next lesson, bring two near-misses the class has not seen, harder than the first pair. Keep a note of any wrong rule that survives the week. When the class later meets metaphor, similes can serve as its non-examples.
What it looks like
Mrs Prentice's class of 11-year-olds has met three similes and can repeat the definition back. She writes two sentences on the board: "He ran like the wind" and "He looks like his brother". "Both use 'like'. One is a simile and one is not. Thirty seconds with your partner."
The finger vote surprises her: nearly half the class says both are similes. Dayo defends the answer. "It's got 'like', and it's comparing him to someone." "It is comparing. So what's different about the wind one?" The silence stretches longer than she expected. Then Amber offers: "He can't really run like wind. But he really does look like his brother." "Say it again so everyone hears." Amber does. Mrs Prentice adds "imagined, not literal" under the definition, and the class votes the right way on the next pair, "as brave as a lion" against "as tall as his dad".
How you’ll know it’s working
- The reason comes with the verdict. Students reject a near-miss by naming the missing feature rather than saying that it "doesn't sound right".
- Wrong votes on the classify run shrink across the sequence: perhaps ten boards wrong on the first near-miss, then two or three on the new cases a week later.
- Students begin bringing you their own boundary cases during practice: "Does 'as if' count?"
- In written work, the term stays inside its boundary, with fewer literal comparisons labelled as similes than before you taught the pair.
Pitfalls & fixes
- Non-examples that are too far away. "The cat sat down" tests nothing, because no student was ever tempted by it. Audit each case: if no student would ever say yes to it, replace it with a nearer miss.
- A near-miss that differs in two ways at once. When a case fails on two features, students cannot tell which one mattered. Change one thing per case and keep everything else identical to a true example.
- Explaining the difference yourself. If you announce why the near-miss fails, students tend to nod along while the too-broad rule survives untouched. Ask for the difference, wait, and only then confirm it.
- The non-example gets remembered as an example. Some students file whatever was on the board under the topic heading. Label the two columns clearly while they are on display, and end every sequence on true examples.
Weigh it up
Why it’s worth it
- The predictable misconception surfaces during the lesson, while there is still time to address it, rather than three weeks later in a pile of marking.
- One good pair often does more than three restatements of the definition. Students see where the boundary runs instead of hearing the same words repeated.
- The classify run doubles as whole-class checking: every board shows you who holds the concept and who holds the too-broad rule, and the same run can serve as retrieval practice weeks later.
- Boundary knowledge is the kind that transfers. A student who can say why "looks like his brother" fails can recognise a simile in an unseen poem and explain why a metaphor is not one.
- The pairs are reusable: a bank built this year works again next year, and drafting the near-misses sharpens your own picture of the concept.
The costs
- Genuine near-misses are hard to write. The obvious non-examples are usually too far away, and a good one can take longer to find than the rest of the explanation.
- The sequence takes lesson minutes that a definition and two examples do not, and for simple concepts that time buys little.
- The near-misses catch students out publicly, by design. In a class where mistakes do not yet feel safe, the classify run can feel like a trap, so that culture has to be built first.
Adaptations
- Early years / lower primary: make it physical. Use two hoops labelled "is" and "is not", objects or picture cards to place, and have the reason said aloud every time: "Why does the whale go in the mammal hoop?"
- Maths and science: near-misses can be built cheaply by breaking one condition. A three-sided shape with a curved side tests "triangle" better than any circle does, and 21 tests "prime" better than 10.
- Essay subjects: show a paragraph that looks analytical but only describes alongside one that analyses, and ask what the second does that the first does not. The difference teaches the criterion better than the mark scheme's wording does.
- Post-16 / practical: use near-miss set-ups. Show a workstation that is safe and one with a single fault, or a correct citation and one missing its page number. Spotting the one difference is the inspection skill the trade actually uses.
Where this comes from
Siegfried Engelmann and Douglas Carnine made the pairing of examples and non-examples a design principle in Theory of Instruction, the book behind Direct Instruction. Their argument is that a learner cannot pin a concept down until they have seen what sits just outside it. Concept-formation researchers reached a similar conclusion in a separate line of work. The strongest trial evidence tests whole Direct Instruction programmes rather than this single move, which is why we grade it promising rather than strong.
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