GeometricMindGeometry & Visual Thinking

Geometry & Visual Thinking

Make the grouping rule visible and explainable

This worksheet is an original planning exercise for a visual explanation. Use a small collection of drawn shapes and one stated sorting rule. The aim is to make the rule understandable, not to score a person’s ability. A fictional example groups shapes by whether their outline contains a curved part, with labels that state the criterion.

Choose the rule before arranging the examples — GeometricMindState the rule beforesortingContains a curveStraight segmentsLabel the criterion inwords

01

Choose the rule before arranging the examples

Write the criterion in ordinary language at the top of the sheet: place shapes with a curved part in one group and shapes made only of straight segments in another. Draw a circle, a triangle and a shape with both a straight and a curved edge. Keep the drawings simple enough that their outlines can be inspected. Label the groups with the criterion rather than relying on colour alone. The mixed-edge example is useful because it requires applying the stated rule, instead of guessing that the groups are simply circles and everything else.

Include a contrasting case and state why it belongs — GeometricMindState the rule beforesortingContains a curveStraight segmentsA mixed edge stillcontains a curve

02

Include a contrasting case and state why it belongs

Place each example under a label and add a short explanation. The triangle belongs with straight segments; the mixed-edge shape belongs with curved parts because the rule asks whether any curved part is present. Add a new outline and ask the reader to explain where it belongs. Avoid changing the criterion halfway through the sheet. If a drawing makes the relevant edge unclear, redraw it or mark the ambiguity for discussion. A confusing illustration is a property of the exercise to resolve, not evidence about the reader’s reasoning.

Keep the answer and the explanation together — GeometricMindState the rule beforesortingContains a curveStraight segmentsKeep each placement withits explanation

03

Keep the answer and the explanation together

Prepare an answer version with the same drawings, group labels and a sentence explaining each placement. Ask a reviewer to identify what rule they understood and which example needed clarification, then record their actual comments. Revise the wording or drawing if those comments reveal a mismatch with the intended task. Keep the original sheet and the revised version so the change is traceable. The finished packet contains the rule, labelled groups, a contrasting example, a new case and an explanation. It can serve as a starting point for another visual exercise with a different explicitly stated criterion.

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