{"id":"W2036690093","doi":"10.1159/000278725","title":"Comparing and Transforming: An Application of Piaget’s Morphisms Theory to the Development of Class Inclusion and Arithmetic Problem Solving","year":2010,"lang":"en","type":"article","venue":"Human Development","topic":"Cognitive and developmental aspects of mathematical skills","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Morphism; Class (philosophy); Inclusion (mineral); Piaget's theory of cognitive development; Cognitive development; Development (topology); Interpretation (philosophy); Transformation (genetics); Cognitive science; Arithmetic; Mathematics; Cognition; Computer science; Psychology; Artificial intelligence; Programming language; Pure mathematics; Social psychology","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":[0.00302817,0.0005325952,0.0004849693,0.003222941,0.001936093,0.003670271,0.001089034,0.001467452,0.004996065],"category_scores_gemma":[0.008980131,0.0005780488,0.001265128,0.001989663,0.02242375,0.01127964,0.00412306,0.003294664,0.0004362234],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003074395,"about_ca_system_score_gemma":0.00190236,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003147616,"about_ca_topic_score_gemma":0.001935549,"domain_scores_codex":[0.9978942,0.001019174,0.00007734341,0.0004252886,0.0004392956,0.0001446697],"domain_scores_gemma":[0.9965194,0.002549011,0.0002145423,0.0003528087,0.0002312504,0.0001329128],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00000746146,0.00001168498,0.000403872,0.00002067777,0.000004518187,0.00010749,0.003952895,0.0005237394,0.0001167513,0.9795198,0.0002834783,0.01504743],"study_design_scores_gemma":[0.000005331232,0.00001037684,0.0005228658,0.00001564505,0.000004559827,0.0001155887,0.0005095833,0.001627536,0.0002608447,0.989347,0.007572199,0.000008408652],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0818561,0.003360854,0.5800967,0.01090606,0.0002177374,0.0001902481,0.0001109297,0.0003599555,0.3229014],"genre_scores_gemma":[0.7368852,0.001427872,0.2491234,0.0006082486,0.0001426205,0.0002422348,0.00006812623,0.0001386901,0.01136349],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004996065,"threshold_uncertainty_score":0.02230638,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03644510662223066,"score_gpt":0.2960674571274166,"score_spread":0.259622350505186,"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."}}