{"id":"W1555428661","doi":"10.22329/celt.v6i0.3770","title":"11. Boundaries in Visualizing Mathematical Behaviour","year":2013,"lang":"en","type":"article","venue":"Collected Essays on Learning and Teaching","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Boundary (topology); Sketch; Witness; Function (biology); Counterexample; Calculus (dental); Simple (philosophy); Visualization; Epistemology; Computer science; Mathematics; Artificial intelligence; Philosophy; Mathematical analysis; Discrete mathematics; Programming language; Algorithm","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001713604,0.0001332838,0.0002083843,0.0002548214,0.002068854,0.0007963427,0.0001357892,0.0001204281,0.000433573],"category_scores_gemma":[0.002875353,0.0001285778,0.00003458093,0.000164582,0.0002027791,0.0001734317,0.00004090086,0.0007468148,0.00003821721],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001076147,"about_ca_system_score_gemma":0.0001289899,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002702788,"about_ca_topic_score_gemma":0.0003765896,"domain_scores_codex":[0.9981657,0.0007637807,0.0002583826,0.0002237675,0.00026663,0.000321752],"domain_scores_gemma":[0.9990584,0.0005714315,0.0001001466,0.0001044527,0.00004613116,0.0001194901],"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":[0.000002615393,0.0001718748,0.03071542,0.00002721075,0.000005397126,0.000001982302,0.05258473,0.000001844771,0.00005667065,0.9095794,0.0014074,0.00544548],"study_design_scores_gemma":[0.001717207,0.0004749191,0.02751237,0.002111267,0.00007442417,0.00002694667,0.1390951,0.009604318,0.0002331206,0.632672,0.1845333,0.001945129],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7142133,0.00002654243,0.004613831,0.001247575,0.00007144982,0.0003496992,3.155527e-7,0.0005062114,0.278971],"genre_scores_gemma":[0.9878885,0.0000107598,0.005691208,0.00008363267,0.00005655203,0.00007471973,0.00000290967,0.00002038697,0.006171331],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2769074,"threshold_uncertainty_score":0.9992303,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0190803081985944,"score_gpt":0.3467514931882107,"score_spread":0.3276711849896163,"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."}}