The article analyses the possibilities of artificial intelligence (AI) in assessing students’ independent work from a mathematical standpoint: notation is introduced, seven postulates are stated formally, and a sequence of theorems is derived with proofs. It is shown that the question “is AI useful” is ill-posed; the correct question is where the binding constraint of learning through independent work lies and whether the cost structure of AI relaxes it without making its own errors expensive. From the postulates it is proved that the binding constraint is the feedback bottleneck, that the natural domain of AI is the formative function, that reliability and validity are orthogonal, that the quality of AI assessment is bounded above by rubric precision, and that the unit of assessment necessarily shifts from product to process.
| Mualliflar | Kalbaev, Sultanbek Nazerbaevich, Калбаев, Султанбек Назербаевич, Kalbaev, Sultanbek Nazerbaevich |
|---|---|
| Jurnal | Ilim ha’m ja’miyet |
| Nashriyot | Нукус давлат педагогика институти |
| ISSN | 2010-720x, 2181-1555 |
| Nashr sanasi | 2026-09-30 |
| Son | 6-3 |
| Betlar | 30-32 |
| Til | Ingliz |
| DOI | 10.67609/ssg48f74 |
| Indeksga qo‘shilgan | 2026-10-18 |
DOI: 10.67609/ssg48f74 · Maqolaning asl sahifasi
mustaqil ish, baholash, sunʼiy intellekt, matematik model, formatif fikr-mulohaza, ishonchlilik, validlik, oʻzaro axborot, muvozanat, rubrika, самостоятельная работа, оценивание, искусственный интеллект, математическая модель, формативная обратная связь, надёжность, валидность, взаимная информация, равновесие, рубрика, independent work, assessment, artificial intelligence, mathematical model, formative feedback, reliability, validity, mutual information, equilibrium, rubric
| APA | Kalbaev, Sultanbek Nazerbaevich, Калбаев, Султанбек Назербаевич, & Kalbaev, Sultanbek Nazerbaevich (2026). ARTIFICIAL INTELLIGENCE POSSIBILITIES IN ASSESSING STUDENTS’ INDEPENDENT WORK IN HIGHER EDUCATION. Ilim ha’m ja’miyet, (6-3), 30-32. https://doi.org/10.67609/ssg48f74 |
|---|---|
| GOST (OAK) | Kalbaev, Sultanbek Nazerbaevich, Калбаев, Султанбек Назербаевич, Kalbaev, Sultanbek Nazerbaevich ARTIFICIAL INTELLIGENCE POSSIBILITIES IN ASSESSING STUDENTS’ INDEPENDENT WORK IN HIGHER EDUCATION // Ilim ha’m ja’miyet. – 2026. – № 6-3. – P. 30-32. – DOI: 10.67609/ssg48f74. |
| MLA | Kalbaev, Sultanbek Nazerbaevich, Калбаев, Султанбек Назербаевич, and Kalbaev, Sultanbek Nazerbaevich. “ARTIFICIAL INTELLIGENCE POSSIBILITIES IN ASSESSING STUDENTS’ INDEPENDENT WORK IN HIGHER EDUCATION.” Ilim ha’m ja’miyet, (6-3), 30-32, 2026. https://doi.org/10.67609/ssg48f74 |
| Chicago | Kalbaev, Sultanbek Nazerbaevich, Калбаев, Султанбек Назербаевич, and Kalbaev, Sultanbek Nazerbaevich. “ARTIFICIAL INTELLIGENCE POSSIBILITIES IN ASSESSING STUDENTS’ INDEPENDENT WORK IN HIGHER EDUCATION.” Ilim ha’m ja’miyet, (6-3), 30-32 (2026). https://doi.org/10.67609/ssg48f74 |
| Harvard | Kalbaev, Sultanbek Nazerbaevich, Калбаев, Султанбек Назербаевич, and Kalbaev, Sultanbek Nazerbaevich (2026) ‘ARTIFICIAL INTELLIGENCE POSSIBILITIES IN ASSESSING STUDENTS’ INDEPENDENT WORK IN HIGHER EDUCATION’, Ilim ha’m ja’miyet, (6-3), 30-32. https://doi.org/10.67609/ssg48f74 |
| BibTeX | @article{kalbaevsultanbeknazerbaevich2026,
title = {ARTIFICIAL INTELLIGENCE POSSIBILITIES IN ASSESSING STUDENTS’ INDEPENDENT WORK IN HIGHER EDUCATION},
author = {Kalbaev, Sultanbek Nazerbaevich and Калбаев, Султанбек Назербаевич and Kalbaev, Sultanbek Nazerbaevich},
journal = {Ilim ha’m ja’miyet},
year = {2026},
number = {6-3},
pages = {30-32},
doi = {10.67609/ssg48f74},
url = {https://doi.org/10.67609/ssg48f74}
} |
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