{"id":"W1918520464","doi":"","title":"Preservice Teachers' Understandings of Relational and Instrumental Understanding","year":2005,"lang":"en","type":"article","venue":"eCite Digital Repository (University of Tasmania)","topic":"Teacher Education and Leadership Studies","field":"Social Sciences","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics education; Warrant; Perception; Psychology; Ideal (ethics); Sample (material); Teacher education; Quarter (Canadian coin); Pedagogy","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001247162,0.0000677378,0.000116419,0.00007808829,0.0003665043,0.00003974145,0.0001368431,0.00006416916,0.00005283691],"category_scores_gemma":[0.00003106615,0.00008895317,0.00005396428,0.0001459936,0.0006752563,0.0009453484,0.00005977919,0.00008571382,0.000004726777],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003328434,"about_ca_system_score_gemma":0.00007488221,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002856824,"about_ca_topic_score_gemma":0.0004025805,"domain_scores_codex":[0.9992901,0.0000456319,0.000106221,0.0001478262,0.000281373,0.0001288151],"domain_scores_gemma":[0.999548,0.0001000129,0.0001446876,0.00007876848,0.00004681314,0.0000817275],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"qualitative","study_design_gemma":"qualitative","study_design_scores_codex":[0.0001047361,0.000244744,0.3014813,0.00005472192,0.000199575,0.000004524789,0.552479,0.00001739983,0.0003244446,0.1397428,0.003086926,0.002259881],"study_design_scores_gemma":[0.0004597548,0.00005164486,0.04467189,0.00004782403,0.00003206395,0.000003236938,0.938209,0.00003089257,0.00004668711,0.001051302,0.01525466,0.0001410627],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8466491,0.0001329504,0.000489993,0.005856424,0.00009849313,0.0001066554,0.00001051344,0.00003421715,0.1466217],"genre_scores_gemma":[0.99353,0.00002061425,0.0003932566,0.00001613712,0.0000544683,7.954107e-8,0.00000366232,0.00000403745,0.005977782],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.38573,"threshold_uncertainty_score":0.3627405,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.105109787930543,"score_gpt":0.2786585404118218,"score_spread":0.1735487524812789,"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."}}