{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001912522,0.0002118937,0.0003721446,0.0001257636,0.0006736005,0.0003988732,0.0002488282,0.00008631257,0.00006179903],"category_scores_gemma":[0.004205237,0.0001820597,0.00005319568,0.0002259927,0.0002774775,0.0003144862,0.00005848627,0.0001891328,0.000004657208],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003904268,"about_ca_system_score_gemma":0.000361098,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000113625,"about_ca_topic_score_gemma":0.01250187,"domain_scores_codex":[0.9983775,0.0003069788,0.0002390444,0.0002668607,0.0004921281,0.0003174747],"domain_scores_gemma":[0.9979517,0.00113128,0.0002849692,0.0002795829,0.0002428929,0.0001095357],"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":[6.026405e-7,0.0002739527,0.003909166,0.0003620252,0.00004329068,3.93792e-7,0.2836899,7.00073e-7,0.000001474725,0.7059464,0.00558904,0.0001830457],"study_design_scores_gemma":[0.00007971703,0.00001076855,0.0003742686,0.0004400292,0.00001882595,0.000004814228,0.3213238,0.000007192431,0.00001217128,0.6717173,0.005838322,0.0001727705],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5168837,0.03284262,0.004580531,0.3766526,0.00410277,0.005016125,0.00003445843,0.0004539836,0.05943313],"genre_scores_gemma":[0.9689988,0.006293512,0.02050817,0.0002696396,0.0001671765,0.0002108472,0.000004076527,0.00002637668,0.003521422],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.452115,"threshold_uncertainty_score":0.7424178,"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."}}