Годишно съдържание на научно списание "Математика и информатика", година LXVIII, 2025
МАТЕМАТИКА И ИНФОРМАТИКА
НАУЧНО СПИСАНИЕ
ГОДИНА LXVIII, 2025
MATHEMATICS AND INFORMATICS
BULGARIAN JOURNAL OF EDUCATIONAL RESEARCH AND PRACTICE
VOLUME 68, 2025
ANNUAL CONTENT 2025 / ГОДИШНО СЪДЪРЖАНИЕ 2025Книжка 1: 9 – 109
Книжка 2: 125 – 221
Книжка 3: 237 – 348
Книжка 4: 359 – 484
Книжка 5: 359 – 480
Книжка 6:
SCIENCЕ IN EDUCATION / НАУЧНО-МЕТОДИЧЕСКИ СТАТИИ
9 – 17 Applying Delaunay Triangulation in Olympiad Problems / Dragomir Grozev, Nevena Sybeva
18 – 34 A Note on a Generalized Dynamical System occurs in modelling ‘The Battle of the sexes’: Chaos in Sociobiology / Nikolay Kyurkchiev, Anton Iliev, Vesselin Kyurkchiev, Angel Golev, Todorka Terzieva, Asen Rahnev
35 – 50 Apollonian Sphere and Properties of Stereographic Projection around the Lemoine Point / Vladislav Natchev
125 – 140 Една кратка формула за лице на четириъгълник с две равни срещуположни страни и приложението ѝ [A Short Formula for the Area of a Quadrilateral with Two Equal Opposite Sides and it’s Application] / Йордан Табов, Станислав Стефанов, Хаим Хаимов, Добринка Милушева-Бойкина / Yordan Tabov, Stanislav Stefanov, Haim Haimov, Dobrinka Milusheva-Boykina
237 – 256 Модели на вероятности пространства в олимпийски задачи [Models of Sample Spaces in Olympiad Problems] / Драгомир Грозев, Станислав Харизанов / Dragomir Grozev, Stanislav Harizanov
365 – 373 A Generalization of the Collinearity of the Stereographic Projection around the Lemoine Point / Vladislav Natchev
374 – 407 Компетентностни модели за изучаване на числовите множества [Competency Models for studying Numerical Sets] / Десислава Георгива / Desislava Georgieva
408 – 421 Усъвършенстване на математически компетентности на ученици от трети клас чрез проектно базирана учебна дейност [Improving Students’ Mathematical Competences through Project-based Learning Activities] / Верица Арсов / Veritsa Arsov
365 – 380 Nonparametric Maximum Likelihood Estimation in branching Processes with Random Migration / Tsvetomira Zlatkova, Vessela Stoimenova
381 – 410 Exploring Pick’s Theorem in the Classroom: A Comparison between Traditional and Digital Methodologies using Picksolver Software / Ruben Molano, Mar Avila, Jose Carlos Sancho, Pablo G. Rodriguez, Andres Caro
411 – 423 Селекция на отбора на България за двадесет и деветата Младежка Балканска Олимпиада по Математика [Selection of the Bulgarian Team for the Twenty-Ninth Junior Balkan Mathematical Olympiad] / Мирослав Маринов, Ивайло Кортезов / Miroslav Marinov, Ivaylo Kortezov
??? – ??? Enhancing Student Motivation and Achievement through Digital Mind Mapping / Miklos Kovac, Mirjana Brdar, Goran Radojev, Radivoje Stojkovic
??? – ??? Application of Python in Data Forecasting using Sarima Models / Vesela Dimitrova
EDUCATIONAL TECHNOLOGIES / ОБРАЗОВАТЕЛНИ ТЕХНОЛОГИИ
51 – 62 Educational Resources for Studying Midsegment of Triangle and Trapezoid / Toni Chehlarova, Neda Chehlarova, Georgi Gachev
63 – 73 Digital Competency Self-assessment of Computer Science Teachers in Bulgarian Secondary Schools / Ivaylo Staribratov, Muharem Mollov
74 – 95 Utilizing Geographical Information System for Mapping Schools Distribution. Case Study: the 4th Lower Secondary in Florina City, Greece / Ilias Solakis, Irena Atanasova
96 – 109 Addressing Data Literacy in Information Systems Education / Kalinka Kaloyanova
141 – 155 Artificial Intelligence – Assisted Learning in Moodle / Maria Gorgorova, Silvia Gaftandzhieva, Stanka Hadzhikoleva
156 – 169 Приложение на системи линейни уравнения в изравняване на химични уравнения [Application of Systems of Linear Equations in balancing Chemical Equations] / Цветелина Пеева / Tsvetelina Peeva
257 – 283 Statistical Analysis of Academic Achievement and Intrinsic Motivation in Stem Students educated through a Competency-based Approach / Muharem Mollov, Dimitar Stoitsov, Gencho Stoitsov
284 – 301 Примерен подход за приложение на изкуствен интелект и проектна дейност в обучението по математика [A Model Approach to the Application of Artificial Intelligence and Project-based Method in Mathematics Education/ Ивелина Велчева, Ирина Карталева / Ivelina Velcheva, Irina Kartaleva
302 – 314 Комбинаторни задачи върху квадратни и триъгълни мрежи със Струнима и Geogebra [Combinatorial Problems using Square and Triangular Grids with Strunima and Geogebra] / Младен Вълков / Mladen Valkov
422 – 433 Educational Resources with Percentages for the Development of the Visual Estimation / Toni Chehlarova
434 – 450 The Impact of Using GeoGebra on Understanding Quadratic Functions and Equations for Tenth-Grade Students / Erëmirë R. Aliu, Shpëtim Rexhepi, Egzona Iseni
451 – 474 Bridging the Gap: a Pedagogical Tool for teaching Mathematical Modeling with Spreadsheets / Dávid Paksi, Márk Csóka, Szilárd Svitek
424 – 440 Инфраструктура на създаване на чатбот с големи езикови модели и контекстно разширяване на инструкциите [Infrastructure for deploying large Language Models in Chatbots with Retrieval AI-Augmented Generation] / Йордан Кралев / Jordan Kralev
441 – 455 The Pythagorean Tree with Geogebra as a Motivator for the Implementation of augmented Reality in School / Koya Chehlarova, Toni Chehlarova
??? – ??? Математическо моделиране в мърви гимназиален етап: Изграждане на междупредметни връзки между математика, физика, биология и информационни технологии [Mathematical Modeling in Grades 8th – 10th: Building Intercurricular Connections Between Mathematics, Physics, Biology and Informational Technologies] / Гергана Петрова / Gergana Petrova
??? – ??? Optimization vs Boosting: Comparison of Strategies on Educational Datasets to Explore Low-Performing At-Risk and Dropout Students / Ranjit Paul, Asmaa Mohamed, Peren Canatalay, Ashima Kukkar, Sadiq Hussain, Arun Baruah, Jiten Hazarika, Silvia Gaftandzhieva, Esraa Mahareek, Abeer Desuky, Rositsa Doneva
??? – ??? Artificial Intelligence as a Tool for Pedagogical Innovations in Mathematics Education / Stanka Hadzhikoleva, Maria Borisova, Borislava Kirilova
EDUCATIONAL ISSUES / ВЪПРОСИ НА ПРЕПОДАВАНЕТО
170 – 187 Enchancing Visual Reasoning in Calculus: introducing a New Typology of Graphical Tasks / Valentina Kostić, Tanja Sekulić
188 – 203 Interdisciplinary Connection between Mathematics and Physics in a Grammar School for Gifted Mathematics Students / Aleksandar Milenković, Nemanja Momčilović
204 – 221 Teaching Mathematics under Extreme Conditions: Ukrainian Realities and Experience / Olha Matiash, Oleksandr Shkolyi
315 – 348 The Impact of Teachers’ Gender, Education, and Experience on fostering Mathematical Creativity: a Quantitative Study/ Sultan Kowkas, Saida Affouneh, Daniel Burgos
456 – 473 An Interdisciplinary Model for teaching with Open Climate Data across Mathematics, Informatics, and Geography / Eugenia Sarafova, Kliment Naydenov, Antonina Atanasova