{"id":"W2613401512","doi":"10.1007/s10649-017-9761-8","title":"A conceptual model of mathematical reasoning for school mathematics","year":2017,"lang":"en","type":"article","venue":"Educational Studies in Mathematics","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":234,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"Social Sciences and Humanities Research Council of Canada","keywords":"Mathematics education; Mathematical logic; Logical reasoning; Concept learning; Abstract reasoning; Mathematics; Psychology; Calculus (dental); Cognition; Algorithm","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003096572,0.0007890091,0.000549755,0.002844496,0.002680824,0.006599975,0.003292212,0.002571412,0.0132864],"category_scores_gemma":[0.004891385,0.0006433872,0.002052568,0.002199359,0.01059174,0.01203625,0.002532037,0.003537453,0.001642465],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.005126931,"about_ca_system_score_gemma":0.005388768,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.009830989,"about_ca_topic_score_gemma":0.007543963,"domain_scores_codex":[0.9978604,0.001041087,0.0001901251,0.0003745909,0.0003498941,0.00018396],"domain_scores_gemma":[0.9963698,0.001520278,0.0003457008,0.0004627373,0.0009228866,0.0003785565],"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":[0.000003430788,0.00001302844,0.0001862342,0.00001791799,0.000004172723,0.00002376937,0.0008232267,0.0005080434,0.00007257678,0.9962793,0.0003782425,0.00169007],"study_design_scores_gemma":[0.00002717609,0.00002302721,0.0005170319,0.00005900642,0.00002126527,0.0001605756,0.001362476,0.01095485,0.0001958661,0.9719539,0.01470784,0.00001704644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04577782,0.0007728016,0.722071,0.01410057,0.0002159691,0.0004490044,0.0008076432,0.0005324549,0.2152727],"genre_scores_gemma":[0.7150407,0.0003315634,0.2724692,0.0008566412,0.0001066926,0.0006567262,0.0007873902,0.0001026608,0.009648304],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0132864,"threshold_uncertainty_score":0.04444748,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2344026155052528,"score_gpt":0.489519018930662,"score_spread":0.2551164034254091,"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."}}