{"schema_version":"ocme-site-results-v1","locale":"zh-Hant","page_type":"derivations","facts":{"questions":36000,"reviewed":36000,"display_candidates":0,"knowledge":302,"guides":299,"paths":59,"batches":360,"families":1441,"atlas":302,"core":80,"evidence":9,"formal_evidence":5,"formal_subjects":4,"lean_files":6,"lean_toolchain":"leanprover/lean4:v4.30.0","question_state":"candidate","english_state":"ai_candidate","question_Lean":"NOT_RUN","canonical_truth_promotion":false},"filters":{"q":"mko-diagnostic-mathematical-assessment"},"kind":"guides","total":1,"pages":1,"page":1,"entries":[{"id":"derivation-mko-diagnostic-mathematical-assessment-01","title":{"zh-Hant":"診斷性數學評量記錄：一道分數加法題的合成記錄與判定","en":"Diagnostic assessment records: synthetic records and judgments for one fraction-addition item"},"summary":{"zh-Hant":"對題目 Q-FRAC-01「計算 3/4+1/6，答案寫成分數 a/b（a、b 為整數，b≠0）」，先精確算出期望結果 e，再寫出判定規則 R_val（作答的值等於 e 即符合）與較嚴格的 R_low（值相等且為最簡分數）。據此判定三份合成記錄：D1 作答 4/10、D2 作答 22/24、D3 作答 22/24 但規則欄空白；並證明 D1 的「不符合」不能推出任何關於真實學生能力或錯誤原因的結論。","en":"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."},"mko_ids":["mko-diagnostic-mathematical-assessment"]}],"title":"概念推導導讀"}