{"id":"W3155277280","doi":"10.1007/s11858-021-01258-x","title":"Introduction to calculus through an open-ended task in the context of speed: representations and actions by students in action","year":2021,"lang":"en","type":"article","venue":"ZDM","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"","keywords":"Context (archaeology); Calculus (dental); Situation calculus; Mathematics education; Task (project management); Situational ethics; Cognition; Action (physics); Process (computing); Computer science; Psychology; Artificial intelligence; Social psychology; Engineering; Medicine","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":[0.0006953099,0.00003539374,0.00007412535,0.00004249701,0.000144283,0.0001087611,0.0001888558,0.00003021854,0.00008581344],"category_scores_gemma":[0.0003803344,0.00003184601,0.000008382071,0.000330041,0.00004230697,0.0003324606,0.00004196381,0.00008083021,0.000002135396],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000587807,"about_ca_system_score_gemma":0.00005592994,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_topic_score_codex":0.009998715,"about_ca_topic_score_gemma":0.02578562,"domain_scores_codex":[0.9991413,0.0003364749,0.0001420594,0.0001374805,0.0001711842,0.00007148878],"domain_scores_gemma":[0.9996407,0.00006996229,0.00004922863,0.0001704738,0.00004624173,0.0000234189],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","study_design_scores_codex":[0.00001560147,0.001616533,0.008256801,0.00001597395,0.0000136124,0.000001383859,0.4337142,0.000004615743,0.0137409,0.4463824,0.08801156,0.008226423],"study_design_scores_gemma":[0.0007300819,0.000118973,0.03331334,0.0000580399,0.00002626301,0.000007316004,0.5583466,0.00005176328,0.01209333,0.04744587,0.3475587,0.0002496968],"study_design_candidate":"qualitative","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.957128,0.00001849926,0.001964064,0.02530191,0.0002092846,0.0005537735,0.000007141786,0.00002784137,0.01478952],"genre_scores_gemma":[0.9974485,0.0000653102,0.001195547,0.0002648687,0.00007605815,0.00003075622,0.00001367468,0.000002916992,0.0009023643],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3989365,"threshold_uncertainty_score":0.9965938,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1140106931186641,"score_gpt":0.4879708396423935,"score_spread":0.3739601465237294,"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."}}