Republican Scientific and Practical Conference “Digital and Pedagogical Transformation and Research Models in Modern Education”

This conference is included in the “Plan of Scientific and Scientific-Technical Events to Be Held at the International and Republican Levels in 2026” pursuant to Order No. 11 of the Ministry of Higher Education, Science and Innovation of the Republic of Uzbekistan dated January 16, 2026, and was organized by the Department of Intellectual Disciplines and Information Technologies of Namangan State Pedagogical Institute on October 28–29, 2026.

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Oʻzbekcha

MATEMATIK MANTIQ VA KOMBINATORIKA MASALALARI ORQALI O‘QUVCHILARDA TANQIDIY FIKRLASH KO‘NIKMALARINI SHAKLLANTIRISH YO‘LLARI

Published
29.10.2026
Journal
Republican Scientific and Practical Conference “Digital and Pedagogical Transformation and Research Models in Modern Education”
Issue
Republican Scientific and Practical Conference “Digital and Pedagogical Transformation and Research Models in Modern Education”
Pages
323-329
DOI
10.5281/zenodo.23575218

Authors

Abstract

Ushbu maqolada umumta’lim maktablarida matematika ta’limi jarayonida o‘quvchilarning tanqidiy fikrlash ko‘nikmalarini shakllantirishda matematik mantiq va kombinatorika masalalarining o‘rni tahlil qilinadi. Matematik mantiq masalalari o‘quvchini berilgan ma’lumotlarni tahlil qilish, dalillarni taqqoslash, xulosa chiqarish va o‘z fikrini asoslashga o‘rgatsa, kombinatorika masalalari turli variantlarni tizimli ravishda ko‘rib chiqish, strategiya tanlash va muammoning bir nechta yechimlarini izlash imkonini beradi. Maqolada mantiqiy boshqotirmalar, isbotlash usullari, muammoli vaziyatlar va guruhli topshiriqlardan foydalanish orqali o‘quvchilarning mustaqil fikrlashini rivojlantirish metodlari yoritilgan.

Keywords

diskret matematika isbotlash kombinatorika mantiqiy masala matematik mantiq matematik tafakkur. mustaqil fikrlash rivojlantiruvchi ta’lim tanqidiy fikrlash

Other language versions

Русский
В статье анализируется роль задач по математической логике и комбинаторике в формировании навыков критического мышления у учащихся общеобразовательных школ. Если задачи по математической логике учат анализировать исходную информацию, сопоставлять аргументы, делать выводы и обосновывать свою точку зрения, то комбинаторные задачи позволяют систематически перебирать варианты, выбирать стратегии и находить различные способы решения. В статье представлены методы развития самостоятельного мышления учащихся с помощью логических головоломок, приемов доказательства, проблемных ситуаций и групповых заданий.
дискретная математика доказательство комбинаторика критическое мышление логическая задача математическая логика математическое рассуждение. проблемное обучение развивающее обучение самостоятельное мышление
English
This article analyzes the role of mathematical logic and combinatorics problems in fostering students' critical thinking skills during mathematics instruction in general education schools. While problems in mathematical logic train students to analyze given information, compare arguments, draw conclusions, and substantiate their views, combinatorics problems enable them to systematically examine various options, select strategies, and seek multiple solutions to a problem. The article outlines methods for developing students' independent thinking through the use of logic puzzles, proof techniques, problem-based scenarios, and group assignments.
combinatorics critical thinking developmental education discrete mathematics independent thinking logic problem mathematical logic mathematical reasoning. problem-based learning proof

References

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4. Epp S. S. Discrete Mathematics with Applications. Cengage Learning.
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8. Vygotsky L. S. Mind in Society: The Development of Higher Psychological Processes. Harvard University Press, 1978.
9. Bloom B. S. Taxonomy of Educational Objectives: The Classification of Educational Goals. Longmans, Green, 1956.
10. O‘zbekiston Respublikasi umumiy o‘rta ta’lim tizimiga oid matematika fan dasturlari va me’yoriy-metodik hujjatlar.
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