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OCME · Bilingual mathematics & derivations

Concept derivation guides

299 concept teaching guides, separate from the 36,000 individual question derivations.

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Concept guide

Diagnostic assessment records: synthetic records and judgments for one fraction-addition item

For the item Q-FRAC-01, 'compute 3/4+1/6 and write the answer as a fraction a/b with integers a, b and b≠0', first compute the expected result e exactly, then state the judgment rule R_val (a response matches when its value equals e) and the stricter rule R_low (equal value and lowest terms). Use them to judge three synthetic records: D1 with response 4/10, D2 with response 22/24, and D3 with response 22/24 but an empty rule field; and show that the label 'no match' on D1 supports no conclusion about a real student's ability or error cause.

Diagnostic mathematical assessment records

derivation-mko-diagnostic-mathematical-assessment-01