{"id":"W1561025970","doi":"","title":"Virtual Manipulative Materials in Secondary Mathematics: A Theoretical Discussion.","year":2009,"lang":"en","type":"article","venue":"Scholarship@Western (Western University)","topic":"Innovative Teaching and Learning Methods","field":"Psychology","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Windsor; Western University","funders":"","keywords":"Mathematics education; Computer science; Computer-Assisted Instruction; Secondary education; Teaching method; Multimedia; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001438913,0.0004626567,0.0003879845,0.001949999,0.002666363,0.005927464,0.00123962,0.002410902,0.01152557],"category_scores_gemma":[0.005203142,0.0002734074,0.0004411703,0.001403047,0.01091349,0.006057433,0.003436949,0.001672365,0.001187196],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002569734,"about_ca_system_score_gemma":0.002008602,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007661172,"about_ca_topic_score_gemma":0.001066881,"domain_scores_codex":[0.9986181,0.000769363,0.00005010259,0.0000905911,0.0003790776,0.00009276772],"domain_scores_gemma":[0.9975536,0.001914733,0.0001710922,0.0001178385,0.0001184073,0.0001242482],"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":[0.000008346351,0.00003695445,0.0002440837,0.0001295591,0.000001725087,0.00008484415,0.002786015,0.0005030118,0.0001728343,0.9815232,0.0008401237,0.0136693],"study_design_scores_gemma":[0.00003492659,0.0002111214,0.001621723,0.001611617,0.00001380689,0.0008992793,0.01291992,0.007374445,0.001541573,0.74601,0.2277288,0.00003269109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.09417918,0.0306388,0.1331383,0.04397155,0.0008433607,0.0002961435,0.00006627785,0.0001599765,0.6967064],"genre_scores_gemma":[0.9269363,0.01659537,0.02442608,0.001483251,0.000322611,0.0005402176,0.0000438235,0.00005055405,0.02960179],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01152557,"threshold_uncertainty_score":0.03855687,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1114071291814999,"score_gpt":0.3901005869680115,"score_spread":0.2786934577865116,"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."}}