Series, Classification, and a Folded Square
Mei (5 years 8 months) completes three figural items in one sitting. Item 1, series completion: the row reads big red circle, small red circle, big red circle, small red circle, blank. Options, left to right: big red circle, small blue circle, big red square, small red circle. She picks the big red circle and says, 'Red stays the same.' Item 2, figure classification: three figures are shown, each a square with a dot inside. Options are a square with a dot, a triangle with a dot, a square with no dot, and a circle with a dot. She picks the square with a dot. Item 3, paper folding: a square is folded once in half, a single hole is punched through both layers, and the square is opened flat. Options show one, two, three, and four holes. She picks one hole. She spends about 40 seconds on item 1, roughly 4 seconds on item 2, and 6 seconds on item 3.
1. For each item, name the rule the item is testing and say what Mei's response shows.
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Item 1 - alternating series (size alternates, color and shape held constant). Mei correctly identifies red as constant but treats constancy as the whole rule and predicts the attribute that does not alternate. The blank should be the small red circle; she chooses the big red circle. She has found an invariant and stopped there - one attribute tracked, one missed. The 40 seconds suggests real effort, not guessing.
Item 2 - figure classification (identify the shared attributes). All three examples are squares containing a dot; the answer is the square with a dot. She is correct, in 4 seconds. Note that this item can be solved by visual matching without any rule statement, so her speed is not evidence of explicit reasoning.
Item 3 - paper folding (mentally unfolding, symmetry across the fold). One punch through two layers makes two holes, mirror-imaged across the fold line. She says one hole, which is the count she would see if she watched the punch without unfolding. At 5 years 8 months that is a common and developmentally expected response.
2. Mei is correct on only one of the three items. Is the classification item weak evidence even though she got it right, and does that change how the section should be summarized?
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Yes - a correct answer can be the least informative response in a set.
Item 2 offers three figures that are all squares with dots inside, and one option that is identical in both features. A child can succeed by resemblance alone: it looks most like the others. No rule has to be formed, held, or applied to a novel case. Success here is consistent with correct classification and also with simple matching, and the item cannot distinguish them.
The two items she missed required something the correct item did not: item 1 required holding one attribute constant while predicting another, and item 3 required imagining a transformation that was not shown. Those are the items that carry diagnostic weight.
So the summary should not read '1 of 3, weak figural reasoning.' It should read: 'matched shared features on a classification item; on an alternating series she tracked color but not size, and on paper folding she did not yet anticipate the second hole.' That sentence tells a teacher what to teach.
3. The examiner considers giving Mei the series item again after saying, 'Look - the sizes go big, small, big, small.' May that response be scored? What is the defensible alternative?
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The prompted response may not be scored. The prompt supplies the rule the item exists to measure. Scoring it would put a number on the examiner's hint rather than on Mei's reasoning, and it would not be comparable to any norm.
Defensible alternatives:
- Score the original response and record the 40 seconds and her stated reason ('Red stays the same'). That reason is the useful data.
- Note the prompted result separately as an observation: 'With the alternation named aloud, she selected the small red circle.' This documents that the rule is within reach - which matters for instruction and for any re-test.
- Do not re-administer the same item for credit later. Memory for the specific pictures, not the rule, will drive the second answer. If re-testing is needed, build a parallel series with new shapes and colors.
Rule of thumb: prompts may inform teaching notes; they may not enter the score.