{"id":"W2526544328","doi":"","title":"The use of visualization for learning and teaching mathematics","year":2011,"lang":"en","type":"article","venue":"Qucosa (Saxon State and University Library Dresden)","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Lakehead University","funders":"","keywords":"Visualization; Memorization; Mathematics education; Rote learning; Set (abstract data type); Computer science; Theme (computing); Point (geometry); Visual learning; Meaningful learning; Teaching method; Artificial intelligence; Mathematics; Cooperative learning; Geometry","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":[0.0003317975,0.00005426528,0.00008274992,0.00006243176,0.0008239622,0.00008109264,0.00009227381,0.00003590746,0.00002518953],"category_scores_gemma":[0.0001300901,0.00004678769,0.00002283505,0.00004890765,0.000155572,0.0006713648,0.00005775778,0.00007879283,5.018948e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006542165,"about_ca_system_score_gemma":0.0000412773,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001913786,"about_ca_topic_score_gemma":0.000073653,"domain_scores_codex":[0.9994629,0.0001645398,0.000100508,0.0000863187,0.00008165581,0.0001040847],"domain_scores_gemma":[0.9993693,0.0003690423,0.0001190659,0.00006414211,0.00002373493,0.00005476133],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001852152,0.00004154975,0.002239796,0.00004420813,0.0000127404,4.380278e-7,0.0580147,1.516335e-7,0.00001268096,0.9281912,0.001538808,0.00988515],"study_design_scores_gemma":[0.0002046793,0.00009232698,0.0003913283,0.00007124903,0.00003332493,7.58752e-7,0.02950159,0.0009026991,0.00031545,0.07341863,0.8949185,0.0001494568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6891606,0.0001827626,0.2134589,0.001340874,0.0001557379,0.00125994,0.00003627766,0.0004686257,0.09393623],"genre_scores_gemma":[0.8528979,0.002524622,0.1029117,0.00007872553,0.00003548513,0.000002266619,0.0000133353,0.000022549,0.04151333],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8933797,"threshold_uncertainty_score":0.6337334,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06153956241681056,"score_gpt":0.2961895551688765,"score_spread":0.2346499927520659,"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."}}