{"id":"W3111959877","doi":"10.5951/mtms.7.3.0140","title":"Developing an Area Formula for a Circle with Goldilock and the Three Bears","year":2001,"lang":"en","type":"article","venue":"Mathematics Teaching in the Middle School","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Winnipeg","funders":"","keywords":"Mathematics education; Mathematics; Algebraic number; Element (criminal law); Calculus (dental); Pedagogy; Psychology; Medicine; Mathematical analysis","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":[0.007775233,0.000155368,0.0002379547,0.00009632363,0.001200352,0.0003968118,0.0007143585,0.00007491465,0.00001555067],"category_scores_gemma":[0.002003302,0.00009046758,0.00005346,0.0001845002,0.0002452139,0.0002310199,0.00005032872,0.0003971636,0.000003915941],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009827354,"about_ca_system_score_gemma":0.0001465985,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006729894,"about_ca_topic_score_gemma":0.007111487,"domain_scores_codex":[0.99841,0.0003492058,0.0003276914,0.0002031123,0.0003704795,0.0003395202],"domain_scores_gemma":[0.997691,0.001531711,0.0001811568,0.0004728698,0.00004443595,0.00007878531],"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":[0.00002057334,0.0001376288,0.000834114,0.00007950179,0.00001510417,9.573956e-7,0.1377873,0.000003797775,0.000003723227,0.8581557,0.0001888276,0.002772701],"study_design_scores_gemma":[0.0007491565,0.00005315298,0.0003857333,0.0003524817,0.00003804408,0.00003106101,0.04688979,0.003404401,0.000006594086,0.9441813,0.003673166,0.0002351021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4923363,0.00007281158,0.480187,0.005913869,0.00005817544,0.002093035,0.000002432518,0.0002146661,0.01912168],"genre_scores_gemma":[0.8280248,0.00002773724,0.1707359,0.0005154668,0.00008803297,0.0003475258,0.000003284568,0.00002606843,0.0002311398],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3356885,"threshold_uncertainty_score":0.9232259,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09582837971180061,"score_gpt":0.3407996490844438,"score_spread":0.2449712693726432,"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."}}