{"id":"W4253737217","doi":"10.5642/hmnj.200201.26.18","title":"Divisibility: A Problem Solving Approach Through Generalizing and Specializing","year":2002,"lang":"en","type":"article","venue":"Humanistic Mathematics Network Journal","topic":"Complex Systems and Decision Making","field":"Decision Sciences","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Divisibility rule; Mathematics; Mathematics education; Algebra over a field; Mathematical economics; Arithmetic; Calculus (dental); Computer science; Pure mathematics; Medicine","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts","scholarly_communication","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.006396179,0.0003335857,0.0008181495,0.0001926116,0.001724181,0.003128826,0.0008389086,0.0001041568,0.002245344],"category_scores_gemma":[0.001622248,0.0002392787,0.0002315842,0.0006219797,0.0001467673,0.0006434355,0.0004639813,0.000498633,0.0001316282],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007982032,"about_ca_system_score_gemma":0.00002609599,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004168555,"about_ca_topic_score_gemma":0.000009423915,"domain_scores_codex":[0.9940782,0.0003368538,0.002133382,0.0006228548,0.002133021,0.0006957053],"domain_scores_gemma":[0.995423,0.002040735,0.001146794,0.0007685158,0.0003708816,0.0002501037],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000009647414,0.0002759219,0.001001095,0.0001222191,0.00009195213,0.0001680944,0.01634836,0.004646517,0.00004657405,0.806953,0.1578972,0.01243947],"study_design_scores_gemma":[0.0003287862,0.00004712745,0.0001691809,0.0002281065,0.00003388485,0.00195584,0.001401194,0.2096167,4.584308e-7,0.7591747,0.02675106,0.000292954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.007560471,0.005747295,0.8288251,0.0001136859,0.0007045727,0.0003720201,0.000002588808,0.00006954012,0.1566048],"genre_scores_gemma":[0.5242394,0.00009404872,0.4691357,0.0002149226,0.003087566,0.000007946546,4.382515e-7,0.00005183114,0.003168177],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5166789,"threshold_uncertainty_score":0.9995754,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3070309480519137,"score_gpt":0.3703273104913358,"score_spread":0.0632963624394221,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}