{"id":"W1592133358","doi":"10.1023/a:1024360204239","title":"Key Ideas: What are they and how can they help us understand how people view proof?","year":2003,"lang":"en","type":"article","venue":"Educational Studies in Mathematics","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":141,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics education; Mathematical logic; Mathematics; Sociology; Epistemology; Pedagogy; Calculus (dental); Philosophy","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":[0.02057802,0.001115125,0.001006415,0.003910081,0.002810268,0.01725695,0.002506561,0.006627182,0.02989895],"category_scores_gemma":[0.155535,0.0007668527,0.00139163,0.003740659,0.02512141,0.0571357,0.004695876,0.01075981,0.006253787],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004216309,"about_ca_system_score_gemma":0.004358457,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001856198,"about_ca_topic_score_gemma":0.001189819,"domain_scores_codex":[0.9867251,0.007569214,0.0009377645,0.001541486,0.002623286,0.0006032056],"domain_scores_gemma":[0.8641292,0.07540359,0.01185857,0.0122504,0.02884247,0.007515732],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","study_design_scores_codex":[0.0002381491,0.00009511987,0.007585065,0.001159823,0.0001141747,0.0002305191,0.028375,0.0002484813,0.0006930801,0.8241673,0.03901239,0.09808094],"study_design_scores_gemma":[0.0000564904,0.00003449795,0.001928252,0.0005462022,0.00007159733,0.0002566627,0.01517925,0.0007922152,0.0005485105,0.9274314,0.05309917,0.00005564457],"study_design_candidate":"qualitative","study_design_consensus":null,"genre_codex":"commentary","genre_gemma":"empirical","genre_scores_codex":[0.04136466,0.02008841,0.2138874,0.555252,0.009040414,0.000455222,0.001525496,0.0007220134,0.1576643],"genre_scores_gemma":[0.8619661,0.009188776,0.07537527,0.02083616,0.002667858,0.0008198397,0.001005094,0.0006564881,0.02748444],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02989895,"threshold_uncertainty_score":0.1088283,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09163533698547996,"score_gpt":0.3770419887417102,"score_spread":0.2854066517562303,"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."}}