Paper-Airplane Series: Color Rule Correct, Rotation Rule Reversed
A pictorial-series item shows five frames, each containing a paper airplane. In frame 1 the airplane is red and its nose points north. Frame 2: blue, nose west. Frame 3: red, nose south. Frame 4: blue, nose east. Frame 5: red, nose north. The four answer choices are: (A) blue airplane pointing west; (B) blue airplane pointing east; (C) red airplane pointing west; (D) blue airplane pointing south. A student, Marcus, selects D and explains, 'The colors go red, blue, red, blue, red, so the next one is blue. The plane is turning the same way a clock does, so after east it goes south.' The teacher must decide what Marcus's choice reveals about his rule construction and how to respond instructionally. Marcus has previously answered color-alternation items correctly but has confused left and right on a map task.
1. Determine the correct next frame. State each rule and check it against every transition.
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Color rule: red, blue, red, blue, red → next blue. Orientation rule: N → W → S → E → N. Each turn is 90° counterclockwise. From frame 5 (N), the next heading is W. So the next frame is blue pointing west, choice A. Check: N→W is counterclockwise; W→S; S→E; E→N. Choice D (blue south) would follow from clockwise E→S, but clockwise from N would give E at frame 2, not W. The 4-cycle return to N at frame 5 confirms the rotation.
2. Diagnose Marcus's reasoning. What does his choice of D show, and what misconception might underlie it?
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Marcus has the color rule right but the rotation rule wrong. He says 'same way a clock does,' which is clockwise, yet the observed sequence is counterclockwise. His choice D is internally consistent with his stated rule: from east, clockwise goes south. The problem is that he did not test that rule against earlier frames; clockwise from north would put frame 2 east, but frame 2 is west. This is a rule-construction and checking error, not a careless slip. His prior left/right confusion may make compass rotations harder.
3. Design a scaffold that helps Marcus self-correct without revealing the answer.
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Ask him to trace frame 1 to frame 2 with a finger and say whether the nose turned clockwise or counterclockwise. Repeat for 2→3, 3→4, 4→5. Then give him a clock face with N/E/S/W and ask him to predict frame 2 using his own clockwise rule; the prediction (east) conflicts with the picture (west), which forces revision. Have him cover the frames and record headings in a table before choosing. Do not tell him 'counterclockwise'; let the conflict do the work.