{"id":"W4312720074","doi":"10.1007/978-3-031-03945-4_38","title":"Trusting Your Own Eyes: Visual Constructions, Proofs, and Fallacies in Mathematics","year":2022,"lang":"en","type":"book-chapter","venue":"","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematical proof; Language of mathematics; Euclidean geometry; Conceptualization; Visualization; Computer science; Mathematical theory; Perception; Visual reasoning; Mental image; Mathematical practice; Visual perception; Mathematical structure; Cognitive science; Artificial intelligence; Cognition; Human–computer interaction; Mathematics; Psychology; Mathematics education; Geometry","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":[0.001285964,0.0004611674,0.0002675086,0.0007357821,0.002736721,0.007299176,0.0007576225,0.001640105,0.009329909],"category_scores_gemma":[0.01062844,0.0003255112,0.0003177968,0.00078524,0.01549743,0.0130175,0.002936932,0.00382438,0.001117956],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001433143,"about_ca_system_score_gemma":0.001219976,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001647184,"about_ca_topic_score_gemma":0.001734676,"domain_scores_codex":[0.9988673,0.0006714517,0.00002959247,0.00009920735,0.0002423711,0.00009011465],"domain_scores_gemma":[0.995139,0.003778742,0.0002724075,0.0004029703,0.0002675453,0.0001394141],"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":[0.00001008604,0.000007596759,0.0001078876,0.00003145348,0.00000200733,0.00005654045,0.01485657,0.0001192988,0.0001441179,0.9617746,0.005498626,0.01739114],"study_design_scores_gemma":[0.000005981327,0.00001405074,0.0003217825,0.0001505885,0.000004055433,0.0003283113,0.006808881,0.0004979394,0.0002913148,0.9106813,0.08088591,0.000009947174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.03216315,0.00901516,0.02739151,0.01124011,0.0003491635,0.00002449518,0.0000371733,0.000157436,0.9196218],"genre_scores_gemma":[0.890444,0.00413768,0.008978908,0.0006904023,0.000280644,0.00004817347,0.00004325215,0.0001806988,0.09519628],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.009329909,"threshold_uncertainty_score":0.03121167,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05530039345573855,"score_gpt":0.3637177314237341,"score_spread":0.3084173379679956,"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."}}