{"id":"W3111835862","doi":"10.5951/mtms.9.3.0180","title":"Using Friday Puzzlers to Discover Arithmetic Sequences","year":2003,"lang":"en","type":"article","venue":"Mathematics Teaching in the Middle School","topic":"Statistics Education and Methodologies","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Eagle Ridge Hospital","funders":"","keywords":"Arithmetic; Mathematics education; Simple (philosophy); Sequence (biology); Mathematics; Sample (material); Algebra over a field; Computer science; Pure mathematics; Epistemology","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00183424,0.0009653083,0.0005491682,0.002042229,0.0007828831,0.001867701,0.001153596,0.001165377,0.01990707],"category_scores_gemma":[0.03018601,0.0003306646,0.0005540829,0.001082899,0.0009503473,0.003382033,0.001928501,0.002054162,0.005797717],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006085893,"about_ca_system_score_gemma":0.0007928639,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001872537,"about_ca_topic_score_gemma":0.004385531,"domain_scores_codex":[0.9988914,0.0004973751,0.0001258267,0.0001967437,0.0002258523,0.00006273823],"domain_scores_gemma":[0.9914152,0.005722247,0.0007364596,0.0009681599,0.000866838,0.0002911],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"not_applicable","study_design_scores_codex":[0.001046822,0.0009811625,0.02657956,0.0009814976,0.0001458727,0.001035516,0.01313679,0.006634419,0.0169447,0.06852719,0.05440062,0.8095859],"study_design_scores_gemma":[0.00042457,0.003235406,0.05843796,0.001176903,0.0002259132,0.004420014,0.02218273,0.08435602,0.03727541,0.1757544,0.6121088,0.0004017786],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4640492,0.002265687,0.305038,0.006528114,0.0009097516,0.002013036,0.002586097,0.004370422,0.2122398],"genre_scores_gemma":[0.4731981,0.001579256,0.4596578,0.0007501711,0.0001012988,0.0008471087,0.002950219,0.0003855359,0.06053052],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01990707,"threshold_uncertainty_score":0.06659573,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3932131138256015,"score_gpt":0.4401458534813848,"score_spread":0.04693273965578332,"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."}}