{"id":"W2019058139","doi":"10.1016/j.jmathb.2006.09.004","title":"Looking at the complexity of two young children's understanding of number","year":2006,"lang":"en","type":"article","venue":"The Journal of Mathematical Behavior","topic":"Cognitive and developmental aspects of mathematical skills","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia; University of Victoria","funders":"","keywords":"Structuring; Property (philosophy); Computer science; Mathematics education; Natural (archaeology); Relation (database); Natural number; Epistemology; Folding (DSP implementation); Cognitive science; Mathematics; Psychology; Discrete mathematics; Geography; 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00195956,0.0002290829,0.00068644,0.00006059891,0.0001868999,0.00002260479,0.0005136729,0.00006229807,0.001419848],"category_scores_gemma":[0.0004319794,0.0001149506,0.0003245102,0.000210475,0.001078113,0.000111275,0.0002516626,0.0003097773,0.00003559393],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001622667,"about_ca_system_score_gemma":0.0000413979,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002416614,"about_ca_topic_score_gemma":0.00002820782,"domain_scores_codex":[0.9970522,0.0001910978,0.001404389,0.0001035712,0.0009655732,0.0002831698],"domain_scores_gemma":[0.996017,0.002204975,0.001139048,0.000334063,0.000232886,0.00007199509],"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":[0.0001718548,0.002327721,0.01466609,0.0003475338,0.0002627466,0.00002691185,0.001860173,0.000004079724,0.00864232,0.9691915,0.002169101,0.0003299818],"study_design_scores_gemma":[0.0008766999,0.00008137689,0.009620703,0.0004720614,0.0006939525,0.0009751879,0.0007743685,0.00001622456,0.02699588,0.9593349,0.000002336888,0.0001562946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9730181,0.00005171252,0.01743861,0.0003041469,0.00006185282,0.0004224599,0.00001810831,0.00001309492,0.008671949],"genre_scores_gemma":[0.9901069,0.000006996087,0.009463398,0.00001903434,0.00007424556,0.00000425665,0.000001409998,0.00002930237,0.0002944648],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01835356,"threshold_uncertainty_score":0.999493,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08138522804360122,"score_gpt":0.3335915451211404,"score_spread":0.2522063170775392,"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."}}