{"id":"W2033150091","doi":"10.1080/14926156.2011.570612","title":"Preservice Teachers’ Understandings of the Relation Between a Fraction or Integer and Its Decimal Expansion: Strength and Stability of Belief","year":2011,"lang":"en","type":"article","venue":"Canadian Journal of Science Mathematics and Technology Education","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":32,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Decimal; Mathematics education; Integer (computer science); Fraction (chemistry); Psychology; Arithmetic; Mathematics; Computer science","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":[0.001762448,0.00005915635,0.0001444395,0.0004180503,0.0003831627,0.00002803123,0.0002516132,0.00009996763,0.00003469762],"category_scores_gemma":[0.001732798,0.00004175407,0.00001418882,0.0005681535,0.001581773,0.0002990326,0.00002929618,0.0001726868,7.630337e-8],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001098428,"about_ca_system_score_gemma":0.002022208,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001270249,"about_ca_topic_score_gemma":0.002671489,"domain_scores_codex":[0.9992542,0.00003691449,0.0003170542,0.00009443625,0.0001826073,0.0001147495],"domain_scores_gemma":[0.998718,0.0001194175,0.0005010833,0.0001304686,0.0003948297,0.0001362338],"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":[0.000004274018,0.0001463166,0.07344305,0.0001518802,0.00001657128,1.740002e-7,0.1983914,2.239735e-8,0.001796139,0.7170684,0.00006084234,0.00892087],"study_design_scores_gemma":[0.0001596921,0.0002236913,0.04618428,0.0006404942,0.00009103345,0.00003573929,0.2084634,0.0001017936,0.01474894,0.7289122,0.0002889978,0.0001497465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9957094,0.0001509529,0.001096872,0.001419572,0.00008688372,0.0001738584,0.000001729995,0.000006673604,0.001354028],"genre_scores_gemma":[0.9888502,0.0000548665,0.01104861,0.000008613209,0.00001301495,0.000002412444,1.174392e-7,0.000003220291,0.00001895916],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02725877,"threshold_uncertainty_score":0.5828108,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07227516465434146,"score_gpt":0.3229376245560993,"score_spread":0.2506624599017578,"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."}}