{"id":"W4387303958","doi":"10.1007/978-3-031-40639-3_4","title":"Explorations with the Sums of Digits","year":2023,"lang":"en","type":"book-chapter","venue":"Mathematics education in the digital era","topic":"Cognitive and developmental aspects of mathematical skills","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Word (group theory); Context (archaeology); Function (biology); Interpretation (philosophy); Base (topology); Arithmetic; Mathematics; Combinatorics; Computer science; History","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":[0.0004691972,0.0007407583,0.0003093469,0.001087759,0.0007470435,0.003678081,0.0006834909,0.0005448431,0.01717447],"category_scores_gemma":[0.00253346,0.0002129158,0.0004404952,0.00128409,0.003846695,0.005495505,0.00155299,0.001638706,0.002871228],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000846688,"about_ca_system_score_gemma":0.0006648283,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008472439,"about_ca_topic_score_gemma":0.001655496,"domain_scores_codex":[0.9996271,0.0001518547,0.00002252341,0.0000545823,0.0001209165,0.00002290298],"domain_scores_gemma":[0.9994763,0.000372713,0.00002050697,0.0000580908,0.00004888816,0.00002359617],"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":[0.00002075822,0.000009050251,0.0001450711,0.00007166186,0.000004378244,0.00007791718,0.0006565801,0.0008187145,0.0003243235,0.9354996,0.008827932,0.053544],"study_design_scores_gemma":[0.000004409027,0.00001454738,0.0003089676,0.000127569,0.000004636631,0.0004617661,0.0004541716,0.001640673,0.0005788401,0.73694,0.2594551,0.000009361422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00769694,0.01150025,0.04989921,0.001561158,0.0006894005,0.00001978935,0.00007662445,0.0001777685,0.9283788],"genre_scores_gemma":[0.3702494,0.02548206,0.0898343,0.00126038,0.0009411993,0.0001068098,0.0003130016,0.0003177346,0.5114951],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01717447,"threshold_uncertainty_score":0.05745435,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04765920701101385,"score_gpt":0.295215540680449,"score_spread":0.2475563336694352,"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."}}