Experience concept · Maths
Make the Mistake
Design a wrong answer that teaches something right.
The learner experience
A little curiosity. A lasting understanding.
Learners create a two-question quiz containing a tempting wrong answer, explain the reasoning behind it, and author a small bar-model demonstration that disproves it. A peer or teacher tests the explanation.
Imagine this moment
“A larger denominator means a larger piece” is tested by dividing identical bars into thirds and sixths.
Learning & evidence
The learning objective
Explain why a plausible fraction-comparison strategy fails and construct a counterexample.
What understanding looks like
Quiz, distractor rationale, learner-configured mini-simulation, and revision after feedback. Teacher checks that the learner can explain the demonstration without AI assistance.
Adaptation
Different starting points. A shared objective.
Provide a misconception and template; extend to an original counterexample with a second representation.
Educator review
This is a proposed experience. Content and assessment require teacher review before classroom use.
Interactive animated story / Living LessonMaths · 8–10
The Great Fraction Feast
One feast. Many ways to share it fairly.
Explore concept
Interactive visualization / SimulationMaths · 8–10
Fraction Glasshouse
Grow different fractions to exactly the same height.
Explore concept
Interactive visualization / SimulationMaths · 10–13
Solid to Net Studio
Unfold a solid. See whether it can become a box again.
Explore concept