Learning Science · Concepts and changing explanations

Revising misconceptions with evidence and comparison

Help a learner compare an existing explanation with evidence and build a usable alternative.

Use the examples to connect this lesson with the earlier topics. No specialist equipment is needed.

After reading, you can

Distinguish correction of an answer from revision of an explanation.
Plan evidence, explanation and follow-up cases for conceptual change.

Find the explanation worth revising

A learner thinks a larger denominator always makes a larger fraction. This rule is understandable after learning that larger whole numbers name larger quantities. Simply announcing that it is wrong supplies a verdict but no replacement. Ask the learner to show one third and one fifth of the same whole. Their representation reveals how the whole-number relationship has been extended too far.

A misconception is an inaccurate or inappropriately applied understanding that can guide reasoning. Some errors are fragmented rather than a single coherent theory. Treat the learner’s account as something to investigate. Naming the precise claim makes it possible to compare what it predicts with what the new explanation predicts.

Create a comparison the learner can interpret

Use evidence whose meaning is accessible. Divide two equal strips into three and five equal parts, and compare one part from each. Explain why more equal parts must make each part smaller when the whole remains fixed. Both the evidence and the replacement relationship matter: an unexplained surprising demonstration can be dismissed as an exception or misunderstood.

A refutation explanation states the incorrect claim, explains why it fails, and supplies a correct account with supporting reasons. Research has tested this approach in specific science learning settings. It does not establish that one refutation reliably removes every misconception or that adding discussion always gives an additional benefit. The quality of the comparison and the learner’s prior knowledge still matter.

Give the alternative work to do

Ask the learner to use the revised explanation in a new situation. Compare three fourths and three fifths with the same whole, or ask what happens if the wholes differ. The first extends the equal-part relationship; the second reveals its boundary. Practising only the original pair can make a correction look more general than it is.

Return later and ask for both the answer and the reason. Earlier intuitions can remain available, so a reappearing error need not mean that no learning occurred. Reconstruct the contrast, identify the cue that led to the old response, and practise choosing the appropriate explanation. Respectful correction makes reasoning discussable; embarrassment contributes no evidence to the conceptual comparison.

Worked example

Replacing a denominator rule

A learner says a larger denominator means a larger amount. How do equal strips and changed cases support a better rule?

State the competing prediction, then divide two equal-length strips into three and five equal parts. Compare one part from each. The fifth is smaller, although five is the larger denominator.
Explain the replacement relationship: for unit fractions of the same whole, the denominator counts the equal pieces, so more pieces make one piece smaller. Check one sixth against one eighth with the same whole: one sixth is larger.
Test the boundary using half a small pizza and a third of a larger pizza. The fraction names alone no longer decide the amount; the sizes of the wholes matter. Revisit later and ask for the reason, not only the memorised answer.

The revised explanation is conditional: increasing a positive denominator reduces a unit fraction of a fixed whole. A new pair and a different-whole comparison check both the relationship and its boundary.

A larger denominator makes a smaller unit part here

Two strips have equal total length. One is divided into three equal parts and one part is shaded; the other is divided into five equal parts and one part is shaded. The third is longer than the fifth. Thus one third exceeds one fifth for equal wholes. The same comparison cannot decide half of a small pizza versus a third of a larger pizza without their sizes.

Try it yourself

Think through each question before opening the answer.

Why can a surprising experiment fail to change an explanation?
Show the answer and reasoning
The learner may not understand the result, may question an unstated assumption, or may treat the case as an exception. Connect the result explicitly to competing predictions and an alternative mechanism.
Surprise does not identify which assumption failed or supply a replacement mechanism. Connect the observation with the learner’s prediction and explain a model that can account for it.
A learner fixes one answer. What further evidence is useful?
Show the answer and reasoning
Ask them to explain a new case and revisit later. This checks whether they can use the revised relationship beyond the remembered correction.
A repaired answer may be stored as an exception. A fresh case and later check show whether the learner uses the new relationship when the original answer is unavailable as a cue.
Should every wrong response receive a misconception label?
Show the answer and reasoning
No. A slip, unfamiliar word or missing fact can produce the same response. Diagnose the reasoning before choosing a conceptual-change activity.
The same incorrect response can arise from a slip, an unfamiliar word or a missing fact. The explanation and pattern across cases should guide the teaching response.

What to carry forward

Make the competing explanations and their predictions explicit.
Supply a usable alternative and test its conditions in later cases.

References

Sources supporting the explanations and learning checks in this lesson.