{"id":"W2142563589","doi":"","title":"Teachers' Beliefs and Teaching Mathematics with Manipulatives.","year":2013,"lang":"en","type":"article","venue":"Canadian Journal of Education / Revue canadienne de l éducation","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":44,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics education; Negotiation; Teaching method; Psychology; Pedagogy; Sociology","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":[],"consensus_categories":[],"category_scores_codex":[0.001595606,0.0001203854,0.0001720027,0.0004672042,0.0005599393,0.0002473852,0.0002502385,0.00009080692,0.0003450616],"category_scores_gemma":[0.001524626,0.0001186013,0.00003521276,0.0001457033,0.0001546191,0.0004776373,0.000004258856,0.0003266451,0.000008274034],"about_ca_system_candidate":true,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001788307,"about_ca_system_score_gemma":0.006571405,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_topic_score_codex":0.1229644,"about_ca_topic_score_gemma":0.4235174,"domain_scores_codex":[0.9988557,0.0001952377,0.0003428726,0.0001284278,0.00008859716,0.0003891432],"domain_scores_gemma":[0.9976193,0.0001422198,0.0004060465,0.0001920018,0.0004787397,0.001161721],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"qualitative","study_design_gemma":"qualitative","study_design_scores_codex":[5.308215e-7,0.00007078963,0.005463035,0.000052343,0.00002161312,0.00000133793,0.594104,0.000002540163,0.0000360001,0.3758649,0.0111384,0.01324448],"study_design_scores_gemma":[0.0002613546,0.0001735148,0.03201507,0.001026951,0.0001176051,0.0004848461,0.5483866,0.0001028122,0.00004608841,0.2064734,0.2103143,0.0005974394],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9444182,0.0001555213,0.004122769,0.01218565,0.0007935095,0.0003929044,0.00000186052,0.00002293912,0.03790667],"genre_scores_gemma":[0.9623252,0.00001969091,0.03323691,0.0003559364,0.0004440309,0.0000330449,0.000005500844,0.00002105729,0.003558645],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.300553,"threshold_uncertainty_score":0.9990604,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04690397259484501,"score_gpt":0.3104433068588686,"score_spread":0.2635393342640235,"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."}}