{"id":"W1949020749","doi":"10.1108/978-1-60752-874-620251021","title":"The Learning and Teaching of School Algebra","year":2006,"lang":"en","type":"book-chapter","venue":"","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":593,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics education; Algebra over a field; Computer science; Pedagogy; Mathematics; Psychology","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":[0.001358894,0.00008462572,0.0001220509,0.00004771549,0.0007403128,0.00008697572,0.000150168,0.0001229359,0.0003543147],"category_scores_gemma":[0.0004266834,0.00005937969,0.00004519393,0.000005176054,0.0002076024,0.00003149225,0.00004058222,0.0004491428,0.00001044345],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003050992,"about_ca_system_score_gemma":0.00009395656,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007359445,"about_ca_topic_score_gemma":0.000209879,"domain_scores_codex":[0.9993327,0.00007125283,0.0001863458,0.00009857398,0.00021646,0.00009463095],"domain_scores_gemma":[0.999252,0.0003704426,0.0001865196,0.0001061297,0.00003943016,0.00004550338],"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":[2.72097e-7,0.000003033225,0.00004981249,0.000008727139,0.000006377368,7.024394e-8,0.0009353478,2.635786e-8,0.00000106044,0.9791752,0.013128,0.006692147],"study_design_scores_gemma":[0.0000102247,0.000005545974,0.000005203183,0.00004575754,0.000007327804,2.199113e-7,0.0003007836,0.00000365245,0.000002244037,0.3293248,0.6702396,0.00005465512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00003106084,0.0001844735,0.002293863,0.0006523657,0.00005194982,0.0001358686,4.094096e-7,0.0001303284,0.9965197],"genre_scores_gemma":[0.03171696,0.0002546913,0.002616212,0.00002986928,0.0001270581,0.000003211087,0.000001872727,0.00001398938,0.9652361],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.6571116,"threshold_uncertainty_score":0.5693963,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03040808853435632,"score_gpt":0.3442141147168537,"score_spread":0.3138060261824974,"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."}}