{"id":"W2507642620","doi":"10.1007/s11858-016-0812-x","title":"Mathematical Working Spaces in schooling: an introduction","year":2016,"lang":"en","type":"article","venue":"ZDM","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":69,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Diagrammatic reasoning; Space (punctuation); Dimension (graph theory); Cognition; Mathematical structure; Mathematical problem; Set (abstract data type); Computer science; Semiotics; Object (grammar); Meaning (existential); Bridging (networking); Process (computing); Function (biology); Cognitive science; Epistemology; Mathematics education; Psychology; Mathematics; Artificial intelligence; Pure mathematics","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":[0.00115834,0.00004298348,0.00006841691,0.00008050512,0.0001105722,0.00006229366,0.0001278725,0.00004778723,0.0006206832],"category_scores_gemma":[0.000729675,0.00003054274,0.00001570611,0.0001150624,0.000067772,0.0001573847,0.00001288221,0.0000635983,0.00006390214],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007111242,"about_ca_system_score_gemma":0.00004274915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008704872,"about_ca_topic_score_gemma":0.0002319293,"domain_scores_codex":[0.9993615,0.0001229455,0.0001167256,0.000115854,0.0001462302,0.0001367824],"domain_scores_gemma":[0.9996495,0.00008582134,0.00004170049,0.0001458596,0.00001933785,0.00005777535],"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":[0.000001253993,0.00005851352,0.001869991,0.000003423925,9.562164e-7,2.33519e-7,0.008212059,6.301035e-8,0.0002032971,0.9752872,0.00137896,0.01298404],"study_design_scores_gemma":[0.00007633721,0.00001237378,0.000351549,0.0000707605,0.000002475175,9.805905e-7,0.002288752,0.00002078977,0.0003596861,0.8751213,0.1215965,0.00009855581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5796304,0.00005136704,0.10715,0.08589616,0.0008110063,0.0005126354,6.242116e-7,0.0009989109,0.2249489],"genre_scores_gemma":[0.9827715,0.00001539971,0.01527582,0.00004122378,0.000578372,0.00001162818,3.419108e-7,0.000005880063,0.00129985],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4031411,"threshold_uncertainty_score":0.6796045,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05447167929557102,"score_gpt":0.3734817004962188,"score_spread":0.3190100212006478,"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."}}