Mathematics and Informatics

Ranjit Paul, Asmaa Mohamed, Peren Jerfi Canatalay, Ashima Kukkar, Sadiq Hussain, Arun K. Baruah, Jiten Hazarika, Silvia Gaftandzhieva, Esraa A. Mahareek, Abeer S. Desuky, Rositsa Doneva

ARTIFICIAL INTELLIGENCE AS A TOOL FOR PEDAGOGICAL INNOVATIONS IN MATHEMATICS EDUCATION

Stanka Hadzhikoleva, Maria Borisova, Borislava Kirilova

Issue 5

NONPARAMETRIC MAXIMUM LIKELIHOOD ESTIMATION IN BRANCHING PROCESSES WITH RANDOM MIGRATION

Tsvetomira A. Zlatkova, Vesela K. Stoimenova

EXPLORING PICK’S THEOREM IN THE CLASSROOM: A COMPARISON BETWEEN TRADITIONAL AND DIGITAL METHODOLOGIES USING PICKSOLVER SOFTWARE

fi Rubén Molano, fi Mar Avilá, fi José Carlos Sancho, fi Pablo G. Rodríguez, fi Andrés Caro

SELECTION OF THE BULGARIAN TEAM FOR THE TWENTY-NINTH JUNIOR BALKAN MATHEMATICAL OLYMPIAD

Miroslav Marinov, Ivaylo Kortezov

INFRASTRUCTURE FOR DEPLOYING LARGE LANGUAGE MODELS IN CHATBOTS WITH RETRIEVAL-AUGMENTED GENERATION

Jordan Kralev, Svetla Koeva

THE PYTHAGOREAN TREE WITH GEOGEBRA AS A MOTIVATOR FOR THE IMPLEMENTATION OF AUGMENTED REALITY IN SCHOOL

Koya Chehlarova, Toni Chehlarova

AN INTERDISCIPLINARY MODEL FOR TEACHING WITH OPEN CLIMATE DATA ACROSS MATHEMATICS, INFORMATICS, AND GEOGRAPHY

Eugenia Sarafova, Kliment Naydenov, Antonina Atanasova

ПРОФ. Д-Р ИВАН КОСТАДИНОВ ТОНОВ

Issue 4

GENERALIZATION OF THE COLLINEARITY OF THE STEREOGRAPHIC PROJECTION AROUND THE LEMOINE POINT

Vladislav Natchev

COMPETENCY MODELS FOR STUDYING NUMERICAL SETS

Desislava Georgieva

IMPROVING STUDENTS' MATHEMATICAL COMPETENCES THROUGH PROJECT-BASED LEARNING ACTIVITIES

Veritsa Arsov

EDUCATIONAL RESOURCES WITH PERCENTAGES FOR THE DEVELOPMENT OF THE VISUAL ESTIMATION

Toni Chehlarova

THE IMPACT OF USING GEOGEBRA ON UNDERSTANDING QUADRATIC FUNCTIONS AND EQUATIONS FOR TENTH-GRADE STUDENTS

Mr.sc. Erëmirë R. Aliu, Shpëtim Rexhepi, Egzona Iseni

BRIDGING THE GAP: A PEDAGOGICAL TOOL FOR TEACHING MATHEMATICAL MODELING WITH SPREADSHEETS

Dávid Paksi, Márk Csóka, Szilárd Svitek

Issue 3

MODELS OF SAMPLE SPACES IN OLYMPIAD PROBLEMS

Dragomir Grozev, Stanislav Harizanov

STATISTICAL ANALYSIS OF ACADEMIC ACHIEVEMENT AND INTRINSIC MOTIVATION IN STEM STUDENTS EDUCATED THROUGH A COMPETENCYBASED APPROACH

Muharem Mollov, Dimitar Stoitsov, Gencho Stoitsov

A MODEL APPROACH TO THE APPLICATION OF ARTIFICIAL INTELLIGENCE AND PROJECT-BASED METHOD IN MATHEMATICS EDUCATION

Ivelina Velchevа, Irina Kartaleva Deputy principal

COMBINATORIAL PROBLEMS USING SQUARE AND TRIANGULAR GRIDS WITH STRUNIMA AND GEOGEBRA

Mladen Valkov

THE IMPACT OF TEACHERS’ GENDER, EDUCATION, AND EXPERIENCE ON FOSTERING MATHEMATICAL CREATIVITY: A QUANTITATIVE STUDY

Sultan Kowkas, Saida Affouneh, Daniel Burgos

Issue 2

A SHORT FORMULA FOR THE AREA OF A QUADRILATERAL WITH TWO EQUAL OPPOSITE SIDES AND IT’S APPLICATION

Jordan Tabov, Stanislav Stefanov, Haim Haimov math, Dobrinka Milusheva-Boykina

ARTIFICIAL INTELLIGENCE-ASSISTED LEARNING IN MOODLE

Maria Gorgorova, Silvia Gaftandzhieva, Stanka Hadzhikoleva

APPLICATION OF SYSTEMS OF LINEAR EQUATIONS IN BALANCING CHEMICAL EQUATIONS

Tsvetelina Peeva

ENHANCING VISUAL REASONING IN CALCULUS: INTRODUCING A NEW TYPOLOGY OF GRAPHICAL TASKS

Valentina Kostic, Tanja Sekulic

INTERDISCIPLINARY CONNECTION BETWEEN MATHEMATICS AND PHYSICS IN A GRAMMAR SCHOOL FOR GIFTED MATHEMATICS STUDENTS

Aleksandar Milenković, Nemanja Momčilović

TEACHING MATHEMATICS UNDER EXTREME CONDITION: UKRAINIAN REALITIES AND EXPERIENCE

Olha Matiash, Oleksandr Shkolnyi

Issue 1

Уважаеми читатели на списание „Математика и информатика“,

Filip Petrov

APPLYING DELAUNAY TRIANGULATION IN OLYMPIAD PROBLEMS

Dragomir Grozev, Nevena Sybeva

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

APOLLONIAN SPHERE AND PROPERTIES OF STEREOGRAPHIC PROJECTION AROUND THE LEMOINE POINT

Vladislav Natchev

EDUCATIONAL RESOURCES FOR STUDYING MIDSEGMENTS OF TRIANGLE AND TRAPEZOID

Toni Chehlarova, Neda Chehlarova, Georgi Gachev

DIGITAL COMPETENCY SELF-ASSESSMENT OF COMPUTER SCIENCE TEACHERS IN BULGARIAN SECONDARY SCHOOLS

Ivaylo Staribratov, Muharem Mollov

UTILIZING GEOGRAPHICAL INFORMATION SYSTEM FOR MAPPING SCHOOLS DISTRIBUTION. CASE STUDY: THE 4TH LOWER SECONDARY SCHOOL IN FLORINA CITY, GREECE

Ilias Solakis, Irena Atanasova

ADDRESSING DATA LITERACY IN INFORMATION SYSTEMS EDUCATION

Kalinka Kaloyanova

Year LXVII, 2024

Issue 6

ON PROBLEM 3 FROM THE INTERNATIONAL MATHEMATICAL OLYMPIAD 2024

Dragomir Grozev

OPPORTUNITIES TO BUILD INTERDISCIPLINARY CONNECTIONS MATHEMATICS – INFORMATICS

Elena Karashtranova, Irena Atanasova, Nadezhda Borisova

DIMENSIONAL ANALYSIS – A NECESSARY CONDITION FOR THE APPLICATION OF MATHEMATICAL MODELS

Georgi Gachev

THE METHOD OF AUXILIARY PARALLEL PLANES WHEN STUDYING THE TYPE OF SECTIONS OF A TORUS WITH A PLANE

Irena Parvanova, Vencislav Radulov

USING VISUAL BASIC FOR EXCEL APPLICATIONS FOR DEVELOPING STUDENTS’ PROGRAMMING SKILLS

Stefka Aneva, Elena Todorova

TEACHING FUTURE MATHEMATICS TEACHERS TO SOLVE PROBLEMS WITH PARAMETERS: UKRAINIAN EXPERIENCE

Alla Prus, Ivan Lenchuk

ARTIFICIAL INTELLIGENCE IN CYBERSECURITY: RIGOROUS CRITICAL REVIEW, METHODOLOGICAL CHALLENGES AND FUTURE RESEARCH DIRECTIONS

Maria Mpitsi

Issue 5

AN APPROACH FOR DETECTING SECURITY VULNERABILITIES IN WEB BROWSERS FOR MOBILE OPERATING SYSTEMS

Stoyan Mechev

FRAMEWORK FOR DESIGNING VISUALLY ORIENTATED TOOLS TO SUPPORT PROJECT MANAGEMENT

Dalibor Milev, Nadezhda Borisova, Elena Karashtranova

A 3D EDUCATIONAL APPROACH IN STEREOMETRY TRAINING

Penio Lebamovski, Mariyana Nikolova

DIGITAL EDUCATIONAL PLATFORMS AND THEIR IMPORTANCE FOR VOCATIONAL TRAINING IN MODERN ENTERPRISES

Evgeniya Nicolova

CONCEPT FORMATION TASKS WITH FIVE SET VENN DIAGRAMS

Toni Chehlarova, Koya Chehlarova

METHODS FOR CONSTRUCTION OF PLANE SECTIONS OF A CIRCULAR CYLINDER

Irena Parvanova, Vencislav Radulov

ARTIFICIAL INTELLIGENCE IN ADVANCED LEARNING: OPPORTUNITIES AND CHALLENGES

Panka Valeva, Gencho Stoitsov, Ivan Dimitrov

Issue 4

DYNAMICS OF A NEW CLASS OF OSCILLATORS: MELNIKOV’S APPROACH, POSSIBLE APPLICATION TO ANTENNA ARRAY THEORY

Nikolay Kyurkchiev, Tsvetelin Zaevski, Anton Iliev, Vesselin Kyurkchiev, Asen Rahnev

ON THE TIME COMPLEXITY OF AN ALGORITHM

Krassimir Manev

AN ITERATIVE ALGORITHM FOR DETERMINING THE GREATEST COMMON DIVISOR OF TWO OR MORE UNIVARIATE POLYNOMIALS

Verica Milutinović

ARTIFICIAL INTELLIGENCE TOOLS INTO HIGHER MATHEMATICS EDUCATION: OPPORTUNITIES, CHALLENGES, AND STUDENT PERCEPTIONS

Evgeniya Nicolova

ATTITUDES OF PROSPECTIVE TEACHERS ON IMPLEMENTATION OF AI

Nataliya Pavlova

COMPUTER MODELS OF ONE MATHEMATICAL OLYMPIAD PROBLEM

Toni Chehlarova, Mladen Valkov

GEOGEBRA IMPACT IN AVOIDING COMMON MISTAKES STUDENTS MAKE IN HANDLING EXPONENTIAL FUNCTIONS

Shpresa Tuda, Shpetim Rexhepi

Issue 3

LEXICAL REPRESENTATION OF DENSE NUMERICAL VECTORS: INTRODUCING LANGVEC

Simeon Emanuilov, Aleksandar Dimov

DISTANCES BETWEEN REMARKABLE POINTS AND INEQUALITIES IN A CONVEX QUADRILATERAL

Yordan Tabov, Stanislav Stefanov, Krasimir Kanchev, Haim Haimov

DEVELOPMENT OF DIGITAL COMPETENCIES IN THE COMPULSORY EDUCATION IN INFORMATION TECHNOLOGY IN SECONDARY SCHOOL

Temenuzhka Zafirova-Malcheva, Nikolina Nikolova, Pencho Mihnev

USING AI TO IMPROVE ANSWER EVALUATION IN AUTOMATED EXAMS

Georgi Cholakov, Asya Stoyanova-Doycheva

PROGRAM IMPLEMENTATION OF THE GAME ‘COMBINATION NINE’

Georgi Gachev

DEVELOPMENT OF DIGITAL AND ALGORITHMIC SKILLS FOR STUDENTS USING VISUAL BASIC FOR APPLICATIONS

Stefka Aneva, Elena Todorova

DOUBLE COUNTING AND FIBONACCI NUMBERS

Ivaylo Kortezov

Issue 2

PROPERTIES AND CONJECTURES REGARDING DISCRETE RENEWAL SEQUENCES

Nikolai Nikolov, Mladen Savov

ON INTEGRATION OF STEM MODULES IN MATHEMATICS EDUCATION

Elena Karashtranova, Aharon Goldreich, Nadezhda Borisova

COMPETENCES FORMATION THROUGH PROBLEM-BASED LEARNING

Borislava Kirilova

DEVELOPMENT OF DIGITAL COMPETENCIES IN THE COMPULSORY EDUCATION IN COMPUTER MODELLING AND INFORMATION TECHNOLOGY IN SECONDARY SCHOOL

Temenuzhka Zafirova-Malcheva, Nikolina Nikolova, Pencho Mihnev

INTERACTIVE RESOURCES FOR TEACHING THE INVERSION METHOD FOR CONSTRUCTION PROBLEMS

Tsvetelina Yordanova

INVESTIGATION OF THE RELATIONSHIP BETWEEN THE PHONEMIC COMPOSITION AND THE EMOTIONAL VALENCE OF A TEXT

Velina Slavova, Filip Andonov

Issue 1

CHALLENGES IN WEB CRAWLING FOR DATA COLLECTION

Georgi Cholakov, Emil Doychev, Svetla Koeva

AN APPROACH AND A TOOL FOR EUCLIDEAN GEOMETRY

Boyko Bantchev

ARE ESTABLISHED TAXONOMIES RELEVANT FOR E-LEARNING?

Diana Petrova

STUDENT SATISFACTION WITH THE QUALITY OF A BLENDED LEARNING COURSE

Silvia Gaftandzhieva, Rositsa Doneva, Sadiq Hussain, Ashis Talukder, Gunadeep Chetia, Nisha Gohain

MODERN ROAD SAFETY TRAINING USING GAME-BASED TOOLS

Stefan Stavrev, Ivelina Velchevа

ARTIFICIAL INTELLIGENCE FOR GOOD AND BAD IN CYBER AND INFORMATION SECURITY

Nikolay Kasakliev, Elena Somova, Margarita Gocheva

Year LXVI, 2023

Issue 6

MIRROR (LEFT-RECURSIVE) GRAY CODE

Valentin Bakoev

TASKS FROM ONLINE COMPETITION “VIVA MATHEMATICS WITH А COMPUTER”: A RESOURCE FOR WORK IN STEM CENTERS

Georgi Gachev, Petar Kenderov, Toni Chehlarova

THE CONSTRUCTION OF VALID AND RELIABLE TEST FOR THE DIVISIBILITY AREA

Daniela Zubović, Dina Kamber Hamzić

QUALITY OF BLENDED LEARNING COURSES: STUDENTS’ PERSPECTIVE

Silvia Gaftandzhieva, Rositsa Doneva, Sadiq Hussain, Ashis Talukder, Gunadeep Chetia, Nisha Gohain

MISTAKES FROM THE SCHOOL MATHEMATICS THAT IMPACT STUDENTS’ PERFORMANCE IN MATHEMATICS COMPETITIONS: AN EXAMPLE

Nadezhda Aplakova

LEONTIEF MODEL WITH MS EXCEL SOLVER

Velika Kuneva, Mariyan Milev

TWENTY-SEVENTH JUNIOR BALKAN MATHEMATICAL OLYMPIAD

Ivaylo Kortezov, Miroslav Marinov

Issue 5

AREAS ASSOCIATED TO A QUADRILATERAL

Oleg Mushkarov, Nikolai Nikolov

ON THE DYNAMICS OF A ClASS OF THIRD-ORDER POLYNOMIAL DIFFERENCE EQUATIONS WITH INFINITE NUMBER OF PERIOD-THREE SOLUTIONS

Jasmin Bektešević, Vahidin Hadžiabdić, Midhat Mehuljić, Sadjit Metović, Haris Lulić

SYSTEM FOR RETRIEVAL AND VISUALIZATION OF DATA FROM THE INTERNET

Georgi Cholakov, Emil Doychev, Svetla Koeva

EVALUATIОN OF CHILDREN’S BEHAVIOUR IN THE CONTEXT OF AN EDUCATIONAL MOBILE GAME

Margarita Gocheva, Nikolay Kasakliev, Elena Somova

CHOOSING AN APPROPRIATE MODEL FOR INVESTIGATING THE TASKS OF SCHOOL IN MATHEMATICS AFTER GRADE VII ACCORDING TO IRT METHODS

Pavlin Tsonev

COMPETENCY-BASED MODEL FOR CONDUCTING DISTANCE ONLINE SYNCHRONOUS EDUCATION OF THE STUDENTS

Desislava Georgieva

ALGORITHM FOR SOLUTION OF A TRANSPORTATION PROBLEM WITH MS EXCEL SOLVER

Mariyan Milev, Velika Kuneva

SELECTION AND JUSTIFICATION OF CRITERIA FOR COMPARATIVE ANALYSIS OF LIGHTWEIGHT CIPHERS

Dilyana Dimitrova

Issue 4

TRIPLES OF DISJOINT PATHS BETWEEN POINTS ON A CIRCLE

Ivaylo Kortezov

ENRICHING LARGE DOCUMENT STORES WITH INTELLIGENT METADATA: A FRAMEWORK FOR EFFECTIVE KNOWLEDGE MANAGEMENT AND APPLIED ANALYTICS

Penko Ivanov, Elitsa Pavlova

MULTIPLE REPRESENTATIONS OF FUNCTIONS IN THE FRAME OF DISTANCE LEARNING

Radoslav Božić, Hajnalka Peics, Aleksandar Milenković

INTEGRATED LESSONS IN CALCULUS USING SOFTWARE

Oleksandr Pohoriliak, Olga Syniavska, Anna Slyvka-Tylyshchak, Antonina Tegza, Alexander Tylyshchak

RECURRENT SEQUENCES IN THE SCHOOL COURSE OF MATHEMATICS AND THEIR INTERDISCIPLINARY LINKS WITH COMPUTER SCIENCE AND INFORMATION TECHNOLOGY

Borislava Kirilova, Philip Petrov

OUTCOMES OF THE USE OF VIDEO GAMES IN EDUCATION: A REVIEW OF SOME KEY RESEARCH FROM THE PAST TEN YEARS

Kalin Dimitrov, Eugenia Kovatcheva

Issue 3

OVERVIEW AND DEVELOPMENT IN THE PROFESSIONAL INTERESTS OF GRADUATE STUDENTS

Nataliya Pavlova

AN APPLICATION OF ELEMENTS OF THE QUADRILATERAL’S GEOMETRY FOR SOLVING NON-STANDARD PROBLEMS

Jordan Tabov, Veselin Nenkov, Asen Velchev, Stanislav Stefanov

GAME-BASED PROGRAMMING TEACHING FOR BEGINNERS IN PYGAME ZERO MODE – SAMPLE PYTHON TASKS. PART II – PYGAME LIBRARY

Rositsa Georgieva

DATA STRUCTURE KNOWLEDGE MANAGEMENT THROUGH BLENDED LEARNING

Valentina Dyankova, Milko Yankov

FLIPPED CLASSROOM AND TRADITIONAL METHOD IN TEACHING MATHEMATICS IN BULGARIAN SCHOOL

Evgeniya Nikolova

GRAPHIC CULTURE OF CONSTRUCTIVE MODELING OF FIGURES IN METRIC STEREOMETRY

Ivan Lenchuk, Alla Prus

USING SENSORS TO DETECT AND ANALYZE STUDENTS’ATTENTION DURING ROAD SAFETY TRAINING IN PRIMARY SCHOOL

Stefan Stavrev, Ivelina Velchevа

Issue 2

ALGORITHMS FOR CONSTRUCTION, CLASSIFICATION AND ENUMERATION OF CLOSED KNIGHT’S PATHS

Stoyan Kapralov, Valentin Bakoev, Kaloyan Kapralov

CONSTRUCTING THE COMMON PERPENDICULAR OF TWO SKEW LINES

Mitko Kunchev

DUAL FORM OF OBTAINING EDUCATION IN THE MATHEMATICS TEACHERS TRAINING SYSTEM: EMPLOYERS’ POSITION

Roman Vernydub, Oxana Trebenko, Oleksandr Shkolnyi

THE ALGORITHMIC TASKS FROM THE STATE GRADUATION EXAMINATION IN THE PROFILING SUBJECT OF INFORMATICS FOR 2022

Krassimir Manev

RESEARCH ON THE IMPACT OF ONLINE LEARNING ON INDIVIDUAL LEARNING STYLES

Yavor Dechev

GAME-BASED PROGRAMMING TRAINING FOR BEGINNERS IN THE PYGAME ZERO ENVIRONMENT - SAMPLE ASSIGNMENTS WITH PYTHON TURTLE GRAPHICS

Rositsa Georgieva

WEB DESIGN TRAINING APPROACH IN HIGH SCHOOL STAGE OF SECONDARY PROFILED EDUCATION

Ivelina Velchevа, Hristo Hristov

Issue 1

A NEW FORMULA FOR THE AREA OF THE QUADRILATERAL (READING FOR GRADE 7)

Jordan Tabov, Asen Velchev, Stanislav Stefanov, Haim Haimov

THE POWER OF A POINT — A VECTOR PERSPECTIVE

Boyko Banchev

FORMULAE FOR THE AREAS OF SOME KINDS OF POLYGONS AND ITS APPLICATION IN PROVING RELATIONS IN THEM

Jordan Tabov, Asen Velchev, Stanislav Stefanov, Haim Haimov

OBLIGATIONS AND REQUIREMENTS FOR THE QUALIFICATION AND UNIVERSITY EDUCATION OF THE INFORMATION AND COMMUNICATION TECHNOLOGIES DEPARTMENT CHAIR IN BULGARIAN SCHOOLS

Mariyana Nikolova, Neli Kiskinova

THE TEST TASKS FROM THE STATE MATRICULATION EXAMINATION FOR THE INFORMATICS PROFILE DURING THE ACADEMIC YEAR 2021-2022

Dimitar Atanasov, Krassimir Manev, Vesela Stoimenova, Ralica Voynova

SEVERAL OPPORTUNITIES FOR IMPLEMENTING THE TRAINING IN “COMPUTER MODELING AND INFORMATION TECHNOLOGIES” IN THE 7 TH GRADE

Krasimir Harizanov

TO THE ISSUE OF PUBLICLY AVAILABLE NATIONAL DATABASES CONTAINING DESCRIPTIONS OF VULNERABILITIES FOR MOBILE DEVICE OPERATING SYSTEMS

Stoyan Mechev

Year LXV, 2022

Issue 6

COMPLEX SOLUTIONS TO QUADRATIC INEQUALITIES AND THEIR MODELING BY MEANS OF

Aslanbek Khamidivitch Naziev

BEST E-LEARNING PLATFORMS FOR BLENDED LEARNING IN HIGHER EDUCATION

Kalin Dimitrov, Eugenia Kovatcheva

SETS OF NON-SELF-INTERSECTING PATHS CONNECTING THE VERTICES OF A CONVEX POLYGON

Ivaylo Kortezov

APPLICATION OF THE INQUIRY BASED LEARNING APPROACH IN INFORMATICS EDUCATION WITH A POPULAR MATHEMATICAL MAGIC TRICK (A NEW LOOK AT OLD IDEAS)

Philip Petrov

MOBILE GAME-BASED MATH LEARNING FOR PRIMARY SCHOOL

Margarita Gocheva, Nikolay Kasakliev, Elena Somova

SOME CONCLUSIONS ON THE RESULTS OF THE NATIONAL EXTERNAL ASSESSMENT IN MATHEMATICS FOR \(7^{\mathrm{TH}}\) GRADE

Pavlin Tsonev

Issue 5

SECURITY ANALYSIS ON CONTENT MANAGEMENT SYSTEMS

Lilyana Petkova, Vasilisa Pavlova

MONITORING OF STUDENT ENROLMENT CAMPAIGN THROUGH DATA ANALYTICS TOOLS

Silvia Gaftandzhieva, Rositsa Doneva, Milen Bliznakov

ERROR MANAGEMENT TRAINING IN COMPUTER PROGRAMMING COURSES THROUGH A SYSTEM OF TASKS

Lasko M. Laskov

READINESS OF UKRAINIAN MATHEMATICS TEACHERS TO USE COMPUTER GAMES IN THE EDUCATIONAL PROCESS

Alina Voievoda, , Svitlana Pudova, , Oleh Konoshevskyi

TYPES OF SOLUTIONS IN THE DIDACTIC GAME “LOGIC MONSTERS”

Nataliya Hristova Pavlova, Michaela Savova Toncheva

THE LEARNING OF MEASUREMENT UNITS FOR BINARY INFORMATION – A SURPRISINGLY PROBLEMATIC TOPIC FOR THE BULGARIAN EDUCATION SYSTEM

Philip Petrov

Issue 4

A COMPARATIVE ANALYSIS OF ASSESSMENT RESULTS FROM FACE-TO-FACE AND ONLINE EXAMS

Emiliya Koleva, Neli Baeva

NATIONAL EXTERNAL ASSESSMENT IN MATHEMATICS IN IV GRADE IN 2022

Toni Chehlarova

TWENTY-SIXTH JUNIOR BALKAN MATHEMATICAL OLYMPIAD

Ivaylo Kortezov, Miroslav Marinov

PERSONAL DATA PROCESSING IN A DIGITAL EDUCATIONAL ENVIRONMENT

Evgeniya Nikolova, Mariya Monova-Zheleva, Yanislav Zhelev

A PRACTICAL METHOD FOR IMPLEMENTING FUZZY QUERIES FOR RELATIONAL DATABASES

Alexander Aleksandrovich Rybanov

APPLICATION OF THE GAME “I HAVE…, WHO HAS…?” IN INFORMATION TECHNOLOGY REVISION LESSONS IN JUNIOR HIGH SCHOOL AND HIGH SCHOOL

Gergana Karabelyova, Philip Petrov

Issue 3

CONVERTING NUMERAL TEXT IN BULGARIAN INTO DIGIT NUMBER USING GATE

Nadezhda Borisova, Elena Karashtranova

RECOGNITION OF PROBLEMATIC EDUCATIONAL SITUATIONS IN COMPUTER MODELING TRAINING

Hristo Hristov, , Radka Cherneva

EFFECTS OF SHORT-TERM STEM INTERVENTION ON THE ACHIEVEMENT OF \(9^{\text {TH }}\) GRADE STUDENTS IN MATHEMATICS

Amra Duraković, Dina Kamber Hamzić

SOLVING REAL-WORLD PROBLEMS USING THE DYNAMIC MATHEMATICAL SOFTWARE

Vesselin Gushev, Danail Gushev

HOW TO IMPROVE THE FIRST-YEAR STUDENTS MOTIVATION IN LEARNING MATRICES

Emiliya Koleva

APPLICATION OF PARALLEL PROJECTION FOR CONSTRUCTION OF THE SECTION OF A PRISM WITH A PLANE

Mitko Kunchev, Todor Mitev

ABOUT CORRELATION AND REGRESSION ANALYSIS IN BEHAVIORAL AND SOCIAL SCIENCES. APPLICATION OF SPREADSHEETS – METHODOLOGICAL ASPECTS

Snezhana Gocheva-Ilieva

Issue 2

COMPUTER MODELS FOR PLAYING BILLIARDS USING FRONTAL SHOT

Toni Chehlarova

VOCABULARY ENRICHMENT IN COMPUTER SCIENCE FOR INTERNATIONAL STUDENTS AT THE PREPARATORY DEPARTMENT OF THE UNIVERSITY

Svetlana Mikhaelis, Vladimir Mikhaelis, Dmitrii Mikhaelis

STEM ROBOTICS IN PRIMARY SCHOOL

Tsanko Mihov, Gencho Stoitsov, Ivan Dimitrov

THE PARTICIPATION OF BULGARIAN SCHOOL STUDENTS IN INFORMATICS COMPETITIONS FOR 2021

Emil Kelevedjiev

PROBLEMS FROM THE MATHEMATICAL LINGUISTICS COMPETITIONS IN THE CONTEXT OF THE BULGARIAN NATIONAL EXTERNAL ASSESSMENT BY THE END OF THE 10THE \(10^{\text {TH }}\) GRADE

Borislav Lazarov, Veselin Zlatilov

PROBLEMS OF CASCADE TYPE AND THEIR USE FOR ASSESSMENT OF STUDENTS’ ACADEMIC ACHIEVEMENTS IN MATHEMATICS

Oleksandr Shkolnyi, Vasyl Shvets, Ion Akiri

A METAGRAPH MODEL OF CYBER PROTECTION OF AN INFORMATION SYSTEM

Emiliya Koleva, Evgeni Andreev, Mariya Nikolova

Issue 1

THE INFLUENCE OF COLLABORATIVE LEARNING ON STUDENTS’ ACHIEVEMENT IN EXAMINING FUNCTIONS WITH PARAMETERS IN DYNAMIC SOFTWARE ENVIRONMENT

Radoslav Bozic, Djurdjica Takaci, Milan Grujin

CONVOLUTIONAL NEURAL NETWORKS IN THE TASK OF IMAGE CLASSIFICATION

Larisa I. Zelenina, Liudmila E. Khaimina, Evgenii S. Khaimin, D.S. Khripunov, Inga M. Zashikhina

DEVELOPING PROBLEM SOLVING COMPETENCY USING FUNCTIONAL PROGRAMMING STYLE

Muharem Mollov, Petar Petrov

INNOVATIVE PROPOSALS FOR DATABASE STORAGE AND MANAGEMENT

Yulian Ivanov Petkov, Alexandre Ivanov Chikalanov

CRYPTOGRAPHY AND CRYPTANALYSIS IN MS EXCEL

Deyan Mihaylov

APPLICATION OF MATHEMATICAL MODELS IN GRAPHIC DESIGN

Ivaylo Staribratov, Nikol Manolova

CONTEXTUAL RECODING

Julia Ninova

TWO-PARAMETRIC PROBLEM FOR OPTIMAL DISTRIBUTION OF RESOURCES

Rosen Nikolaev, Tanka Milkova

РЕШЕНИЯ НА КОНКУРСНИ ЗАДАЧИ БРОЙ 6, 2021 Г.

Year LXIV, 2021

Issue 6

CROWDED PROBABILITIES IN TESTS FOR THE PRESENCE OF INFECTION

Margarita Lambova, Vanya Stoyanova

E-LEARNING DURING COVID-19 PANDEMIC: AN EMPIRICAL RESEARCH

Margarita Gocheva, Nikolay Kasakliev, Elena Somova

“THE SOURCE OF LIFE” IN BISHOP’S BASILICA OF PHILIPPOPOLIS IN THE CONTEXT OF STEAM

Toni Chehlarova

INFORMAL LINGUISTIC TOURNAMENTS

Veselin Zlatilov

PRESCHOOL TEACHERS’ KNOWLEDGE, PERSPECTIVES AND PRACTICES IN STEM EDUCATION: AN INTERVIEW STUDY

Lyubka Aleksieva, Iliana Mirtschewa, Snezhana Radeva

INTRODUCTION TO COMPUTER PROGRAMMING THROUGH A SYSTEM OF TASKS

Lasko M. Laskov

КОНКУРСНИ ЗАДАЧИ БРОЙ 6/2021 Г.

РЕШЕНИЯ НА КОНКУРСНИ ЗАДАЧИ БРОЙ 5, 2021 Г.

Issue 5

THE BENEFITS OF COLLABORATIVE LEARNING IN EXAMINING FUNCTIONS WITH PARAMETERS IN DYNAMIC SOFTWARE ENVIRONMENT

Radoslav Bozic, Djurdjica Takaci

SOME METHODOLOGICAL GUIDELINES ON THE CREATION OF EDUCATIONAL GAMES ON “COMPUTER MODELING”

Krasimir Harizanov

PREPARATION FOR THE XXV YOUTH BALKANIADE IN MATHEMATICS 2021

Ivaylo Kortezov, Emil Karlov, Miroslav Marinov

EXCEL’S CALCULATION OF BASIC ASSETS AMORTISATION VALUES

Vehbi Ramaj, Sead Rešić, Anes Z. Hadžiomerović, Samira Aganović

AUGMENTED REALITY IN ONLINE TEACHER TRANING FOR DIGITAL COMPETENCE

Evgenia Goranova, Valentina Voinohovska

EDUCATIONAL ENVIRONMENT AS A FORM FOR DEVELOPMENT OF MATH TEACHERS METHODOLOGICAL COMPETENCE

Olha Matiash, Liubov Mykhailenko, Vasyl Shvets, Oleksandr Shkolnyi

REFERENCES ORGANIZATIONAL MODEL FOR PEDAGOGICAL PRACTICES OF INFORMATICS AND IT

Philip Petrov

КОНКУРСНИ ЗАДАЧИ БРОЙ 5/2021 Г.

РЕШЕНИЯ НА КОНКУРСНИ ЗАДАЧИ БРОЙ 4, 2021 Г.

Issue 4

FINANCIAL PROJECTS AND LOANS WITH DIFFERENT, DECURSIVE ANNUITIES, INTEREST RATES AND CAPITALIZATION PERIODS WITH THE USE OF EXCEL

Sead Rešić, Vehbi Ramaj, Biljana Petković, Samira Aganović

THE DEVELOPMENT OF METHODICAL APPROACHES TO THE IMPLEMENTATION OF THE PROPEDEUTIC COURSE OF INFORMATICS IN PRIMARY SCHOOL BY MEANS OF KODU GAME LAB

Dmitry Igorevich Pavlov, Adel Victorovna Kaplan, Kirill Viktorovich Butarev

TEACHING THE NOTION CONIC SECTION WITH COMPUTER

Marin Marinov, Petya Asenova

LEARNING ANALYTICS TOOL FOR BULGARIAN SCHOOL EDUCATION

Silvia Gaftandzhieva, Rositsa Doneva, George Pashev, Mariya Docheva

OF THE NATURE OF MATH AND MATH IN NATURE – A SEQUEL ABOUT SYMMETRY FOR CHILDREN AND ADULTS

Cvetelin Andreev

ANNUAL AWARDS TO TEACHERS IN MATHEMATICS AND COMPUTER SCIENCE & IT

Albena Vassileva

ENTERING THE Q4 OF JCI (WOS)

Nikolay Kanchev

КОНКУРСНИ ЗАДАЧИ БРОЙ 4/2021 Г.

РЕШЕНИЯ НА КОНКУРСНИТЕ ЗАДАЧИ БРОЙ 3, 2021 Г.

Issue 3

SOME PROBLEMS IN ENGINEERING EDUCATION WITH COMPUTER SCIENCE PROFILE DURING COVID-19

Georgi Tsochev

МATHEMATICS AS MUSIC FOR THE SOUL

Evgenia Sendova

CHALLENGING THE STUDENTS‘ SENSE OF MATHEMATICS VIA DECODING PROBLEMS IN CHERNORIZEC HRABAR TOURNAMENT

Borislav Lazarov, Ivaylo Kortezov

THE PROBLEM OF IMAGES’ CLASSIFICATION: NEURAL NETWORKS

Larisa I. Zelenina, Liudmila E. Khaimina, Evgenii S. Khaimin, D.S. Khripunov, Inga M. Zashikhina

MIDLINES OF QUADRILATERAL

Sead Rešić, Maid Omerović, Anes Z. Hadžiomerović, Ahmed Palić

VIRTUAL MATH CLASS

Sevdalina Georgieva

WHERE IS THE ERROR IN MY SOLUTION? ─ A TALK WITH OLEG MUSHKAROV IN FRONT OF THE WHITE BOARD

Evgenia Sendova

КОНКУРСНИ ЗАДАЧИ БРОЙ 3/2021 Г.

РЕШЕНИЯ НА КОНКУРСНИ ЗАДАЧИ БРОЙ 2, 2021 Г.

IN МEMORY OF PROF. DORU STEFANESKU, DSC.

Editorial Board

Issue 2

COMPUTER AND INFORMATION LITERACY ASSESSMENT OF MATHEMATICS PROFESSORS AND LECTURES, CASE STUDY OF ISLAMIC AZAD UNIVERSITY BRANCHES IN TEHRAN

Fateme Moradi

MOBILE MATH GAME PROTOTYPE ON THE BASE OF TEMPLATES FOR PRIMARY SCHOOL

Margarita Gocheva, Elena Somova, Nikolay Kasakliev, Vladimira Angelova

STATISTICAL SIGNIFICANCE – IS IT A PANACEA OR A PITFALL?

Margarita Lambova

BOARD GAME “MAKING FINANCIAL DECISIONS” IN THE SYSTEM OF TEACHING THE MATHEMATICAL FOUNDATIONS OF FINANCIAL LITERACY

Bogdana Koneva, Maria Shabanova

IMPLEMENTING COMPUTATIONAL THINKING IN IT TRAINING: AN INVARIANT FRAMEWORK FOR IT KNOWLEDGE FEATURES

Silvia Gaftandzhieva, Rositsa Doneva, Marieta Atanasova

ADDING VALUE TO HEIGHT EDUCATION THROUGH MAINSTREAMING OF TRAINING IN STANDARDIZATION INTO UNIVERSITY CURRICULA

Evgeniya Nikolova, Yanislav Zhelev, Mariya Monova-Zheleva

QUALITATIVE RESEARCH OF CONFERENCE ONLINE LEARNING FOR WEB DESIGN STUDENTS

Hristo Hristov, Nikolay Chochev

A COMBINATORIAL QUESTION RELATED TO AN EASTER TRADITION LED TO A NEW ENTRY IN OEIS

Ivaylo Kortezov

EVOLUTION OF THE CONTENT AND QUALITY OF STANDARDIZED TESTS IN MATHEMATICS IN UKRAINE

Vasyl Shvets, Oleksandr Shkolnyi, Iryna Dremova

КОНКУРСНИ ЗАДАЧИ БРОЙ 2/2021 Г.

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1, 2021

Issue 1

SELECTION AND PARTICIPATION OF THE TEAM OF BULGARIA IN THE XXIV JBMO 2020

Ivaylo Kortezov

THE 17TH ZHAUTYKOV OLYMPIAD IN MATHEMATICS, PHYSICS AND COMPUTER SCIENCE

Diyan Dimitrov, Svetlin Lalov, Stefan Hadzhistoykov, Elena Kiselova

ONLINE COMPETITION “VIVA MATHEMATICS WITH COMPUTER”

Petar Kenderov, Toni Chehlarova, Georgi Gachev

ARE THE DIGITAL LEARNERS READY FOR INNOVATIVE FORMS OF LEARNING?

Gabriela Kiryakova, Nadezhda Angelova

ELECTRONIC RESOURCES FOR ONLINE MATHEMATICS PRIMARY EDUCATION – SPECIFICS, TYPES, QUALITY

Lyubka Aleksieva

THE PROBLEM OF ENSURING THE INFORMATION SECURITY OF CHILDREN AND ADOLESCENTS IN THE CONTEXT OF EDUCATIONAL INTERNET PROJECTS IMPLEMENTATION

Alexander Jurievich Fedosov, Anastasia Alexandrovna Karnaukhova

DIDACTIC MODEL FOR GENERATING A SYSTEM OF PROBLEMS BASED ON THE TECHNOLOGICAL APPROACH

Slavi Kadiev, Julia Ninova

КОНКУРСНИ ЗАДАЧИ БРОЙ 1/2021

Year LXIII, 2020

Issue 6

PUBLICATION REPORTING USING MICROSOFT OFFICE ACCESS BASED ON NIKOLA VAPTSAROV NAVAL ACADEMY’S EXPERIENCE

Asen Kozhukharov, Stoyan Mechev

PRACTICE-ORIENTED TASKS FOR SCHOOLS: METHODOLOGY FOR FUTURE MATHEMATICS TEACHERS

Marina Victorovna Egupova

G SUITE FOR EDUCATION – THE CHALLENGE THAT HAS BECOME A REALITY IN A BULGARIAN SCHOOL

Muharem Mollov, Gencho Stoitsov

ABSTRACT DATA TYPES

Lasko M. Laskov

ANALYSIS OF METHODS FOR EVALUATING THE WORK OF EXTRA-CURRICULAR COMPETITIVE EVENTS HELD IN A REMOTE FORMAT

Oksana Fedorovna Abramova, Alexander Aleksandrovich Rybanov

AMBIGUOUS GEOMETRY PROBLEMS

Dobrinka Milusheva-Boykina

TRIGONOMETRIC SUBSTITUTIONS IN SOME ALGEBRAIC TASKS

Diana Stefanova

IN MEMORY OF PROF. NIKOLAY ROZOV, DSC.

КОНКУРСНИ ЗАДАЧИ БРОЙ 6

Issue 5

GAMIFICATION IN CLOUD-BASED COLLABORATIVE LEARNING

Denitza Charkova, Elena Somova, Ms. Maria Gachkova

NEURAL NETWORKS IN A CHARACTER RECOGNITION MOBILE APPLICATION

Larisa I. Zelenina, Liudmila E. Khaimina, Evgenii S. Khaimin, Daniil I. Antufiev, Inga M. Zashikhina

APPLICATIONS OF ANAGLIFIC IMAGES IN MATHEMATICAL TRAINING

Krasimir Harizanov, Stanislava T. Ivanova

ABOUT THE VECTOR SPACE OF THE FOURTH ORDER MAGIC SQUARES (IN RECREATIONAL MATHEMATICS)

Zdravko Lalchev, Irina Voutova

METHOD OF THE CHILDREN IN THE SKYSCRAPER

Ivaylo Kortezov

ABRAHAM WALD AND STATISTICAL RESEARCH ON AIRCRAFT ARMOR

Latchezar P. Tomov, Georgi Doychinov

ANALYSIS OF THE NATIONAL ONLINE CONTEST IN INFORMATICS “MLADEN MANEV”

Dobrin Bashev, Plamen Dinev

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

Issue 4

ABOUT THE DATA AND THE ROAD TOWARDS THE DATA SCIENCE

Pavel Azalov

TECHNOLOGIES AND TOOLS FOR CREATING ADAPTIVE E-LEARNING CONTENT

Todorka Terzieva, Valya Arnaudova, Assen Rahnev, Vanya Ivanova

DIDACTIC GAME “POSSSIBLE CROSS SECTIONS”

Nataliya Pavlova

NATIONAL COMPETITION IN FINANCIAL LITERACY

Sava Grozdev, Veselin Nenkov

POLYNOMIALS WITH ROOTS IN FOUR SPECIALLY LOCATED COLLINEAR POINTS

Sava Grozdev, Veselin Nenkov

SATELLITE SYSTEMS AS ANIMATION-GEOMETRIC POLYNOMIAL MODELS

Sergey Larin

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 5, 2019

Issue 3

ABOUT THE DATA AND THE ROAD TOWARDS THE BIG DATA

Pavel Azalov

CONTEMPORARY MEANS AND TEACHING METHODS, USING CLOUD TECHNOLOGIES

Lyubka Slavova, Kosta Garov

INTEGRAIVE CLASSES ON THE SUBJECT “MATHEMATICAL TECHNOLOGY” UNDER DISTANT LEARNING TEACHING

Kostadin Petleskov

DESIGNING A PROFESSIONAL TRAINING PROGRAM FOR WORKING WITH GIFTED CHILDREN USING SOFTWARE OFFICE 365

Zverev Oleg Mihailovich, Sergeeva Tatiana Fedorovna

MATHEMATICAL MODELLING IN LEARNING OUTCOMES ASSESSMENT (BINARY MODEL FOR THE ASSESSMMENT OF STUDENT’S COMPETENCES FORMATION)

Khaimina Liudmila Eduardovna, Demenkov Maksim Evgenevich, M. E. Demenkov, Khaimin Evgenii Sergeevich, Zelenina Larisa Ivanovna, Zashikhina Inga Mikhailovna

PROBLEMS 2 AND 5 ON THE IMO’2019 PAPER

Sava Grozdev, Veselin Nenkov

CONFIGURATIONS OF PEDAL CIRCLES OF AN ARBITRARY POINT IN THE PLANE OF A POLYGON

Veselin Nenkov, Stanislav Stefanov, Haim Haimov

ON THE POLYNOMIALS WITH ROOTS IN THE VERTICES OF A CLASS OF CONVEX QUADRILATERALS

Sava Grozdev, Veselin Nenkov

ANALYSIS OF AN INQUIRY EXAMINATION OF TEACHERS IN TECНNOLOGIES AND ENTREPRENEURSHIP

Kostadin Petleskov

MATHEMATICAL COMPETENCE INCREASE THROUGH DYNAMIC GEOMETRY

Sava Grozdev

REFLECTIVE MODEL FOR TEACHING COMPUTER MODELING IN PRIMARY STAGE OF EDUCATION

Julia Doncheva

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 4, 2019

Issue 2

ABOUT THE VECTOR SPACE OF THIRD ORDER MAGIC SQUARES (IN RECREATIONAL MATHEMATICS)

Zdravko Lalchev, Margarita Varbanova, Miroslav Stoimirov, Irina Voutova

SOME NEW QUESTIONS ABOUT SEQUENCES OF SEMI-PRIME AND PRIME NUMBERS

Mark Applebaum

A PAPER-MATRIX AS A REALIZATION FORM OF THE FUNCTIONS OF THE NET RESEARCH PROJECT “ENCYCLOPDIA OF FLAT CURVES: WE WRITE BY OURSELVES” (ON THE WORK OF THE MODERATOR)

Alexander Yastrebov, Gennady Klekovkin

CONCURRENT PERPENDICULARS, DETERMINED BY REGULAR POLYGONS

Yoana Hristova, Genoveva Marinova, Nikola Kushev, Svetoslav Apostolov, Tsvetomir Ivanov

A NEW PROOF OF THE FEUERBACH THEOREM

Sava Grozdev, Hiroshi Okumura, Deko Dekov

PROBLEM 3 ON THE IMO’2019 PAPER

Sava Grozdev, Veselin Nenkov

THE CHALLENGE – NATIONAL PROGRAM “TRAINING IN IT CAREER”

Muharem Mollov, Gencho Stoitsov

USING EDUCATIONAL MOBILE TECHNOLOGIES AND APPLICATIONS – A SURVEY IN TRAKIA UNIVERSITY

Nadezhda Angelova

IMPACT ON RESEARCH VISIBILITY USING STRUCTURED DATA AND SOCIAL MEDIA INTEGRATION

Nikolay Kasakliev, Elena Somova, Margarita Gocheva

ON SOME RANDOMIZED ALGORITHMS AND THEIR EVALUATION

Krasimir Yordzhev

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 3, 2019

Issue 1

EDITORIAL / КЪМ ЧИТАТЕЛЯ

Sava Grozev

FEATURES OF USING KODU GAME LAB IN TEACHING PROGRAMMING IN ELEMENTARY SCHOOL

Adel Victorovna Kaplan, Dmitry Igorevich Pavlov, Myrat Vepayevich Myradov

INTEGRATED DIDACTICAL MODEL FOR THE FORMATION AND DEVELOPMENT OF MATHEMATICAL SKILLS AT THE PRE-SECONDARY STAGE OF THE BASIC EDUCATION

Desislava Georgieva

INTERGRATING THE CURRICULUM IN MATHEMATICS AND TECHNOLOGIES AND ENTREPRENEURSHIP IN 5TH GRADE

Kostadin Petleskov

GENDER ISSUES IN VIRTUAL TRAINING FOR MATHEMATICAL KANGAROO CONTEST

Mark Applebaum, Erga Heller, Lior Solomovich, Judith Zamir

ANALYSIS OF THE PROBLEMS AND THE PERFORMANCE OF THE 11TH AND 12TH GRADE STUDENTS IN THE XIX MATHEMATICAL TOURNAMENT “PERPERIKON”

Sava Grozdev, Rosen Nikolaev, Tanka Milkova

KLAMKIN’S INEQUALITY AND ITS APPLICATION

Šefket Arslanagić, Daniela Zubović

SOME APPLICATIONS OF SPIRAL SIMILARITY

Sava Grozdev, Veselin Nenkov

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 2, 2019

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

Year LXII, 2019

Issue 6

DISCRETE MATHEMATICS AND PROGRAMMING – TEACHING AND LEARNING APPROACHES

Mariyana Raykova, Hristina Kostadinova, Stoyan Boev

AUTOMATED MANAGEMENT OF NETWORK INFRASTRUCTURE

Hristo Hristov, Angel Ignatov

CONVERTER FROM MOODLE LESSONS TO INTERACTIVE EPUB EBOOKS

Martin Takev, Elena Somova, Miguel Rodríguez-Artacho

CYCLOID

Ayapbergenov Azamat, Bokaeva Moldir, Churymbaev Beknur, Kaldybek Zhansuygen

CARDIOIDE

Vorontsov, Eugene, Platonov, Nikita

A GENERALIZATION OF THE FERMAT POINTS IN THE PLANE OF A TRIANGLE

Sava Grozdev, Veselin Nenkov

OTHER CONNECTIONS BETWEEN NOTABLE POINTS IN THE QUADRILATERAL

Veselin Nenkov, Stanislav Stefanov

BULGARIAN OLYMPIAD ON FINANCIAL AND ACTUARIAL MATHEMATICS IN RUSSIA

Rosen Nikolaev, Sava Grozdev, Bogdana Koneva, Nina Patronova, Maria Shabanova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1, 2019

Issue 5

PREPARING PRIMARY JUNIOR GRADE TEACHERS TO TEACH COMPUTATIONAL TEACHING: EXPERIENCES FROM THE GLAT PROJECT

Natasa Hoic-Bozic, Darko Lončarić, Martina Holenko Dlab

CLOUD TECHNOLOGIES IMPLEMENTATION IN SECONDARY EDUCATION

Lyubka Slavova, Kosta Garov

GOOGLE CLASSROOM – AN INNOVATIVE APPROACH TO A MORE EFFICIENT ORGANIZATION OF LEARNING

Muharem Asanov Mollov

TO READ OR INTERACT WITH TEXTBOOKS – WHAT IS BETTER FOR LEARNERS?

Gabriela Kiryakova

DEEP COPY IN C++ AND JAVA

Hristina Kostadinova, Mariyana Raykova

POLYNOMIALS WITH ROOTS IN THE VERTICES OF MEDI-TANGENTIAL POLYGONS

Sava Grozdev, Veselin Nenkov

ALGEBRAIC DESCRIPTION OF PASCAL’S SNAILS OF ORDER \(\boldsymbol{n}\)

Sergey Larin

INQUIRY ON STUDENTS’ OPINION ABOUT THE QUALITY OF THEIR PREPARATION IN MATHEMATICS AND INFORMATION TECHNOLOGIES

Adelina Ivanova, Vladislav Todorov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 6, 2018

Issue 4

A NEW SERIES OF OLYMPIAD CHESS PROBLEMS: CHESS BOARD, ROOK AND NUMBERS

Ivan Popov

THE REARRANGEMENT INEQUALITY

Šefket Arslanagić

ASTROID

Borislav Borisov, Deyan Dimitrov, Nikolay Ninov, Teodor Hristov

POLYNOMIALS WITH MULTIPLE ROOTS IN THE VERTICES OF A PARALLELOGRAM

Sava Grozdev, Veselin Nenkov

COMPUTER PROGRAMMING IN MATHEMATICS EDUCATION

Marin Marinov, Lasko Laskov

CREATING INTERACTIVE AND TRACEABLE EPUB LEARNING CONTENT FROM MOODLE COURSES

Martin Takev, Miguel Rodríguez-Artacho, Elena Somova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 5, 2018

Issue 3

MATHEMATICAL FALLACIES AND THEIR USE IN THE ALGEBRAIC CURRICULUM IN SCHOOLS

Kamelia Koleva

ONE TYPE OF PROBLEMS WITH INFINITE NUMBER OF CUBE ROOTS

Radan Miryanov, Katya Chalakova

SOME MATH QUIZZES FOR PRESENTING A NUMBER BY USING EQUAL DIGITS AND MATH OPERATIONS

Deyan Mihaylov, Velina Yordanova

A NOTE ON THE ARBELOS IN WASAN GEOMETRY: SATOH’S PROBLEM AND A CIRCLE PATTERN

Hiroshi Okumura

FORMULAES FOR THE DISTANCES FROM THE BROCARDIANS AND THE MIQUEL POINT IN A QUADRILATERAL TO ITS VERTICES AND THE MIDPOINTS OF ITS SIDES AND DIAGONALS

Veselin Nenkov, Stanislav Stefanov, Haim Haimov

ON THE CONCEPT OF BITWISE OPERATIONS IN THE PROGRAMMING COURSES

Krasimir Yordzhev

RESULTS OF THE FIRST WEEK OF CYBERSECURITY IN ARKHANGELSK REGION

Olga Troitskaya, Olga Bezumova, Elena Lytkina, Tatyana Shirikova

DIDACTIC POTENTIAL OF REMOTE CONTESTS IN COMPUTER SCIENCE

Natalia Sofronova, Anatoliy Belchusov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 4, 2018

Issue 2

THE ARCHIVES SPEAK: INTERNATIONAL CONTESTS IN INFORMATICS

Pavel Azalov

ELECTRONIC TEXTBOOK IN OVERVIEW LECTURES FOR STATE EXAMINATION IN DISPEL

Asen Rahnev, Boyan Zlatanov, Evgeniya Angelova, Ivaylo Staribratov, Valya Arnaudova, Slav Cholakov

EXPERIMENTAL MATHEMATICS AS ENVIRENMENT FOR THE PREPARATION OF STUDENTS FOR RESEARCH IN THE FORM “SCIENCE 2.0”

Larisa Udovenko, Maria Shabanova, Magomedhan Nimatulaev

LOCI, GENERATED BY EQUILATERAL TRIANGLES WITH VERTICES LYING ON A CIRCLE

Borislav Borisov, Deyan Dimitrov, Nikolay Ninov, Teodor Hristov

GEOMETRIC MODELING IN COMBINATORIC PROBLEMS

Natalia Pavlova

ONE GENERALIZATION OF THE GEOMETRIC PROBLEM FROM 19TH JUNIOR BALKAN MATHEMATICAL OLYMPIAD

Ivaylo Staribratov, Radka Todorova

EXTREMAL PROPERTIES OF THE LEMOINE POINT IN THE QUADRILATERAL

Veselin Nenkov, Stanislav Stefanov, Haim Haimov

SOME SIMPLE INTEREST MODELS

Tanka Milkova

A TRIANGLE AND A TRAPEZOID WITH A COMMON CONIC

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 3, 2018

Issue 1

Драги читатели,

THE ARCHIVES SPEAK: NATIONAL COMPETITIONS IN INFORMATICS

Pavel Azalov

A METHODICAL SYSTEM FOR THE FORMATION OF INFORMATION CULTURE OF TEACHERSPSYCHOLOGISTS IN INFORMATION EDUCATIONAL ENVIRONMENT

Gennadiy Mihaylovich Kiselev, Albina Aleksandrovna Chervova

INCREASING THE DIGITAL COMPETENCES OF STUDENTS

Ms. Lyubka Slavova, Kosta Garov

SYSTEM OF TASKS IN MATHEMATICS EDUCATION

Petya Asenova, Marin Marinov

EULER-GERGONNE’ S THEOREM AND ITS APPLICATIONS

Šefket Arslanagić

A STATEMENT FOR CONCURRENCE OF PEDAL CIRCLES OF A POINT IN THE PLANE OF A QUADRILATERAL

Haim Haimov

POLYNOMIALS OF FOURTH DEGREE WITH COLINEAR CENTRAL SYMMETRIC ROOTS

Sava Grozdev, Veselin Nenkov

PROBLEM 6. FROM IMO’2018

Sava Grozdev, Veselin Nenkov

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 2, 2018

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

Year LXI, 2018

Issue 6

GRAPHING CALCULATOR CASIO AS A MEANS OF PROFESSIONALIZATION OF FUNDAMENTAL EDUCATION

Alexandr Lukankin, Irina Slobodskaya

THE ROLE OF COMPUTER ANIMATION IN MATHEMATICS TEACHING

Sergey Larin, Valeriy Mayer

MANAGEMENT OF SOFTWARE DEFINED NETWORKS WITH FLOODLIGHT CONTROLLER

Rumen Todorov

ENCYСLOPEDIA OF NOTABLE PLANE CURVES AN INTERNATIONAL NETWORK RESEARCH PROJECT WITHIN THE FRAMES OF MITE

Roza Atamuratova, Mikhail Alferov, Marina Belorukova, Veselin Nenkov, Valery Mayer, Gennady Klekovkin, Raisa Ovchinnikova, Maria Shabanova, Alexander Yastrebov

IDENTIFICATION OF GIFTED STUDENTS IN MATHEMATICS BY JEAN PIAGET’S PHENOMENA

Milen Zamfirov

A NEW MEANING OF THE NOTION “EXPANSION OF A NUMBER”

Rosen Nikolaev, Tanka Milkova, Radan Miryanov

THE EFFECT OF THE APPLICATION OF INTERACTIVE PERSONALITY-ORIENTED TRAINING IN MATHEMATICS ON THE SUCCESS OF PUPILS AT COMPLETION OF LOWER GYMNASIA EDUCATION DEGREE AND NATIONAL EXTERNAL EVALUATION

Dobrina Velinova, Ivelina Shumakova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1, 2018

Issue 5

RESULTS OF THE SECOND INTERNATIONAL OLYMPIAD IN FINANCIAL AND ACTUARIAL MATHEMATICS FOR SCHOOL AND UNIVERSITY STUDENTS

Sava Grozdev, Rosen Nikolaev, Maria Shabanova, Larisa Forkunova, Nina Patronova

LEARNING AND ASSESSMENT BASED ON GAMIFIED E-COURSE IN MOODLE

Mariya Gachkova, Martin Takev, Elena Somova

EXPONENTIAL, LOGARITHMIC AND TRIGONOMETRIC FUNCTIONS IN TRANSCENDENTAL EQUATIONS (PART IV)

Diana Stefanova

PASCAL’S LIMACON

Kopteva, Daria, Gorskaya, Kseniya

CONSTRUCTION OF A TYPE OF ALGEBRAIC CURVES IN THE PLANE OF A TRIANGLE

Veselin Nenkov

POLYNOMIALS WITH ROOTS IN THREE COLLINEAR POINTS

Veselin Nenkov

COMBINATORIAL PROBLEMS RELATED TO TRIANGLES

Rosen Nikolaev, Tanka Milkova, Katya Chalakova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 6, 2017

Issue 4

ABOUT THE PRIME NUMBERS

Sava Grozdev, Veselin Nenkov

INCENTER OF A QUADRILATERAL

Stanislav Stefanov

POLYNOMIALS WITH MULTIPLE ROOTS IN THE VERTICES OF A TRIANGLE

Sava Grozdev, Veselin Nenkov

EPICYCLOID

Inkar Askar, Kamila Sarsenbayeva

HYPOCYCLOID

Borislav Borisov, Deyan Dimitrov, Ivan Stefanov, Nikolay Ninov, Teodor Hristov

SETS OF POINTS, GENERATED BY A PAIR OF ISOSCELES TRIANGLES WITH A SPECIAL LOCATION OF THEIR BASES

Sava Grozdev, Veselin Nenkov

FOUR NEW PHD DISSERTATIONS IN METHODOLOGY OF MATHEMATICS AND INFORMATICS TEACHING

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 5, 2017

Issue 3

USING A TRENDLINE TO SOLVE RATIONAL EQUATIONS

Plamen Penev

CREATING OF GAMES IN THE INFORMATICS CLASSES BY USING A GENERATOR OF RANDOM NUMBERS

Emilia Nikolova, Daniela Tuparova

HOW DOES THE COMPUTER SOLVE SUDOKU – A MATHEMATICAL MODEL OF THE ALGORITHM

Krasimir Yordzhev

ACHIEVING CREATIVE GOALS IN MATHEMATICS EDUCATION IN VI GRADE SECTION “EXPONENTS”

Sevdalina Georgieva

POLYNOMIALS OF THIRD DEGREE WITH COLLINEAR ROOTS

Sava Grozdev, Veselin Nenkov

POLYNOMIALS OF FOURTH DEGREE WITH ROOTS IN THE VERTICES OF A PARALLELOGRAM

Sava Grozdev, Veselin Nenkov

\(\mathbf{4 5}^{\boldsymbol{\mathrm { TH }}}\) NATIONAL OLYMPIAD IN MATHEMATICS FOR UNIVERSITY STUDENTS

Sava Grozdev, Rosen Nikolaev, Stanislava Stoilova, Veselin Nenkov

TWO NEW PHD DISSERTATIONS IN METHODOLOGY OF INFORMATICS TEACHING

Petya Asenova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 4, 2017 Г.

Issue 2

Уважаеми читатели,

A POSSIBILITY TO TEACH AND LEARN MATHEMATICS BY THEATRE TECHNOLOGY

Sava Grozdev, Veselin Nenkov

MATHEMATICAL PROJECTS IN DYNAMIC ENVIRONMENT

Angel Gushev

PRACTICE-APPLICABLE PROBLEMS IN MATHEMATICS EDUCATION

Rumyana Nestorova

SOLVING LINEAR EQUATIONS WITH EXCEL

Plamen Penev

TWO INTERESTING INEQUALITIES FOR ACUTE TRIANGLES

\({ }^{}\) Šefket Arslanagić, \({ }^{}\) Amar Bašić

COMPUTER DISCOVERED MATHEMATICS: AN ALTERNATIVE CONSTRUCTION OF MALFATTI SQUARES

Sava Grozdev, Hiroshi Okumura, Deko Dekov

PERFECT ISOGONALITY IN QUADRILATERAL

Veselin Nenkov, Stanislav Stefanov, Haim Haimov

TWO TRANSFORMATIONS IN THE PLANE OF A QUADRILATERAL AND THEIR APPLICATION

Dimitar Oparlakov

SOME TYPES OF PROBLEMS WITH SYMMETRIC NUMBERS

Rosen Nikolaev, Tanka Milkova, Radan Miryanov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 3, 2017

Issue 1

Драги читатели

Sava Grozev

COMPUTER DISCOVERED MATHEMATICS: CONSTRUCTIONS OF MALFATTI SQUARES

Sava Grozdev, Hiroshi Okumura, Deko Dekov

DIAGONAL CONFIGURATIONS OF POINTS. TRIANGLE RULE. INVARIANTS

Zdravko Lalchev, Irina Voutova

REALIZATION OF INTERDISCIPLINARY CONNECTIONS IN MATHEMATICS TRAINING – TRIGONOMETRIC FUNCTIONS AND PROGRESSIONS

Zara Danailova-Stoynova, Peter Vassilev Danchev

TRIANGLES WITH EQUAL AREAS, GENERATED BY TWO TRANSFORMATIONS IN THE TRIANGLE PLANE

Ivan Stefanov, Deyan Dimitrov, Borislav Borisov

CONNECTIONS AMONG NOTABLE POINTS IN THE QUADRILATERAL

Stanislav Stefanov, Veselin Nenkov

CENTRAL CONIC TRIPLETS THROUGH A FIXED POINT ON A FIXED CONIC

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 2, 2017

Year LX, 2017

Issue 6

A SURVEY OF MATHEMATICS DISCOVERED BY COMPUTERS. PART 2

Sava Grozdev, Hiroshi Okumura, Deko Dekov

THREE INV

Gorskaya, Kseniya, Kopteva, Daria, Ermekbaev, Ashat, Zhetiru, Arman, Bermuhamedov, Azat, Kosher, Saltanat, Lilly Stefanova, Irina Hristova, Alexandra Yovkova

GAMES WITH MODIFIED DICE

Aldiyar Zhumashov

BASIC CONFIGURATIONS OF DIAGONAL PRINCIPLE. INVARIANTS

Zdravko Lalchev, Irina Voutova

LOGARITHMIC AND EXPONENTIAL IN TRANSCENDENTAL EQUATIONS (PART III)

Diana Stefanova

SOME NUMERICAL SQUARE ROOTS (PART TWO)

Rosen Nikolaev, Tanka Milkova, Jordan Petkov

ENTERTAINING PROBLEMS ON THE „PICTURE GALLERY“

Miroslav Stoimirov, Irina Voutova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1, 2017

Issue 5

INTEGRATIVE RELATIONSHIPS IN THE COMPETENT APPROACH IN MATHEMATICS AND INFORMATION TECHNOLOGY TRAINING

Kosta Garov, Sevdalina Georgiewa, Elena Kovacheva, Angel Angelov

SOME WAYS IN SOLVING ALGEBRAIC PROBLEMS

Diana Stefanova

SECOND INTERNATIONAL NET RESEARCH STUDENT PROJECT IN THE FRAMES OF MITE

Maria Shabanova, Marina Belorukova, Roza Atamuratova, Veselin Nenkov

DIDACTIC SCENARIO ON A PROBLEM FROM THE 21 ST JUNIOR BALKAN MATHEMATICAL OLYMPIAD

Borislav Lazarov

SOME NUMERICAL SEQUENCES CONCERNING SQUARE ROOTS (PART ONE)

Rosen Nikolaev, Tanka Milkova, Jordan Petkov

PROOFS AND SPECIFICATIONS OF EXPERIMENTALLY DERIVED ASSERTIONS BY THE DUALITY PRINCIPLE

Sava Grozdev, Veselin Nenkov

ERDÖS’ DISTINCT DISTANCES PROBLEM

Houssam Zenati

OPTIMIZING THE POSITIONING OF SERVING UNITS IN THE TOURISM BUSINESS

Radan Miryanov, Velina Yordanova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 6, 2016

Issue 4

FOR THE AGENDA IN THE EDUCATION

Sava Grozdev

TEST GENERATOR

Angel Angelov, Vesselin Dzivev

LOGARITHMIC AND TRIGONOMETRIC FUNCTIONS IN TRANSCENDENTAL EQUATIONS (PART II)

Diana Stefanova

AN APPLICATION OF THE RELATION BETWEEN ARITHMETIC MEAN AND GEOMETRIC MEAN FOR RATIONAL PROVING SOME INEQUALITIES

Radan Miryanov, Jordan Petkov

DETERMINING THE NUMBER OF THE ROOTS OF A CLASS OF THIRD ORDER PARAMETRIC ALGEBRAIC EQUATIONS

Rosen Nikolaev, Tanka Milkova

INTERESTING PROOFS OF SOME ALGEBRAIC INEQUALITIES

Šefket Arslanagić, Faruk Zejnulahi

PROBLEMS ON THE BROCARD CIRCLE

Sava Grozdev, Hiroshi Okumura, Deko Dekov

SOME CONSTRUCTIONS, GENERATED BY THE DUALITY PRINCIPLE

Sava Grozdev, Veselin Nenkov

APPLICATION OF LINEAR ALGEBRA IN ECONOMICS

Velika Kuneva, Zaharinka Angelova

THE SPEED OF LIGHT

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 5, 2016

Issue 3

ON A MODEL OF THE HOMEWORK IN THE CONTEXT OF SELF-PREPARATION IN MATHEMATICS EDUCATION

Marga Georgieva, Diana Stefanova

SOME APPLICATIONS OF MENELAUS THEOREM TO INSCRIBED CIRCLES

Alexandra Yovkova, Irina Hristova, Lili Stefanova

SECOND PSEUDOCENTER OF THE QUADRILATERAL

Stanislav Stefanov Phd

SEVERAL PROBLEMS FOR CIRCLES TANGENT TO CONICS

Sava Grozdev, Veselin Nenkov

APPLICATION OF A NEW APPROACH TO EDUCATIONAL SOFTWARE MODELING

Milen Zamfirov

ЕDUCATIONAL PLATFORMS IN THE ORGANIZATION OF PEDGOGICAL PRACTICE FOR FUTURE TEACHERS

Krasimir Harizanov, Natalia Pavlova

NATIONAL MATHEMATICAL OLYMPIAD FOR UNIVERSITY STUDENTS

Sava Grozdev, Rosen Nikolaev, Veselin Nenkov

A NOTE ON ONE OF THE PROBLEMS FOR \(7^{\text {TH }}\) GRADE – MAY 22, 2017

Sava Grozdev, Veselin Nenkov

GENADII LUKANKIN: A MODEST PICTURE IN THE INTERIOR OF THE EPOCH (on occasion of the 80-anniversary)

Boris Tebiev, Alexander Lukankin

A MEMORY FOR PROFESSOR ANTON SHOUREK

Aleksandra Trifonova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 4, 2016 Г.

Issue 2

NDM-PHILOSOPHY OF EDUCATION IN THE \(21{ }^{\text {ST }}\) CENTURY

Marga Georgieva, Sava Grozdev

INFORMATION LITERACY – NATURE, PROBLEMS AND OPPORTUNITIES FOR IMPROVING INFORMATION LITERACY THROUGH THE USE OF INFORMATION TECHNOLOGY IN SCHOOL

Vesselin Dzivev

ARTIFICIAL IMMUNE SYSTEM

Joanna Ilieva, Selin Shemsieva, Svetlana Valcheva, Suzan Feimova

SOME IDEAS FOR PROPAEDEUTICS OF THE CONCEPT OF FUNCTION IN PRIMARY SCHOOL

Katina Toncheva, Margarita Varbanova

FOURTEENTH INTERNATIONAL LINGUISTICS OLYMPIADS

Ivan Derzhanski

FANS OF CIRCLES IN INSCRIBED POLYGONS

Sava Grozdev, Veselin Nenkov

A NOTE ON THE THEOREM OF THE POWER AVERAGES AND THE EDUCATIONAL CHARACTER OF THE OLYMPIADS

Sava Grozdev, Veselin Nenkov

SECOND CHRISTMAS LINGUISTICS TOURNAMENT

Ivan Derzhanski, Veselin Zlatilov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 3, 2016

Issue 1

Драги читатели,

DEVELOPMENT OF THE DIDACTICS OF MATHEMATICS

Petar Petrov

POISSON′S AMUSING PROBLEMS AND PERELMAN′S METHOD FOR THEIR SOLUTION AND STUDY

Zdravko Lalchev, Margarita Varbanova, Miroslav Stoimirov

VECTOR PRODUCT AND RELATIONS BETWEENSIDEAND SECTIONAREASOFSOMEPOLYHEDRA

Sava Grozdev, Veselin Nenkov

EXPONENTIAL AND TRIGONOMETRIC FUNCTIONS IN TRANSCENDENTAL EQUATIONS (PART I)

Diana Stefanova

EULER LINE AND EULER CURVE OF AN INSCRIBED POLYGON IN A CONIC

Veselin Nenkov, Daniel Angelov

GEOMETRY OF THE QUADRILATERAL, MIQUEL POINT, INVERSION ISOGONALITY

Veselin Nenkov, Stanislav Stefanov, Haim Haimov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 2, 2016

Year LIX, 2016

Issue 6

FIRST INTERNATIONAL NET RESEARCH PROJECT OF SECONDARY STUDENTS IN THE FRAMES OF

Maria Shabanova, Marina Belorukova, Roza Atamuratova, Veselin Nenkov

SOME TRAJECTORIES DETERMINED BY ISOSCELES TRIANGLES

Kseniya Gorskaya, Daria Kopteva, Daniil Mikurov, Yerkin Amirzhanovich Mudebaev, Kazbek Batyrbekovich Mukhambetov, Adilbek Timurovich Temirkhanov, Lilly Stefanova, Irina Hristova, Radina Ivanova

THE HOMEWORK – AN INTEGRAL PART OF EDUCATIONAL PROCESS

Elena Radovanova

GROUPS OF LOGARITHMIC EQUA BY THE HELP OF EXCEL

Diana Stefanova, Plamen Penev

PSEUDOCENTER AND ORTHOCENTER – NOTABLE POINTS IN THE QUADRILATERAL

Veselin Nenkov, Stanislav Stefanov, Haim Haimov

SOME NEW INEQUALITIES AMONG THE ARITHMETIC, GEOMETRIC, HARMONIC AND QUADRATIC MEANS

Todor Mitev

FUZZY LOGIC

Reinhard Magenreuter

GENETIC ALGORITHM

Reinhard Magenreuter

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1/2016

Issue 5

DATABASES AS MEANS FOR MORE QUALITATIVE TRAINING IN INFORMATION TECHNOLOGIES

Vesselin Dzivev

ЕXCEL HELPS IN SOLVING SOME EXPONENTIAL EQUATIONS

Diana Stefanova, Plamen Penev

AN IMPROVEMENT OF THE GERRETSEN’S INEQUALITY FOR NON-OBTUSE TRIANGLES

Šefket Arslanagić

THREE INEQUALITIES FOR THE ALTITUDES OF A TRIANGLE

Šefket Arslanagić

COMPUTER DISCOVERED MATHEMATICS: ORTHOLOGYCENTERS OFTHE EULERTRIANGLES

Sava Grozdev, Deko Dekov

FORECASTING OF TIME-SERIES FOR FINANCIAL MARKETS

Reinhard Magenreuter

NEURAL NETWORKS

Reinhard Magenreuter

THE ACADEMIC LECTURE – A TRADITIONAL FORM OF INSTRUCTION IN HIGHER EDUCATION WITH POSSIBILITIES FOR INNOVATIVE DEVELOPMENT OF LEARNING POTENTIAL

Elena Radovanova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 6, 2015

Issue 4

GENERALIZATION OF DROZ-RARNY THEOREM DEFINED BY A CIRCUM-CONIC

Sava Grozdev, Veselin Nenkov

IN-DEPTH INTERVIEW

Hristo Hristov, Hristo Krushkov

THE HYPOTHESIS IN TEACHING MATHEMATICS

Rumyana Mavrova, Penka Rangelova, Elena Todorova

COMPARATIVE ANALYSIS OF THE STUDENTS’ SCORES IN SOLVING CONSTRUCTIVE TASKS WHEN GEOMETRYIS STUDIED INASTANDARDWAY AND WITH THE USE OF COMPLEX NUMBERS

Katerina Anevska, Metodi Glavche, Risto Malcheski

A PRACTICAL PROBLEM OF PISA TYPE STUDIED BY SOFTWARE FOR GENERAL APPLICATION

Sava Grozdev, Desislava Georgieva

FROM STRUCTURED TO OBJECT-ORIENTED PROGRAMMING

Hristo Krushkov

COMPUTER GAMES IN MATHEMATICS EDUCATION – CHALLENGES AND OPPORTUNITIES

Maya Stoyanova, Daniela Dureva-Tuparova, Kostadin Samardzhiev

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 5, 2015

Issue 3

CHARACTER OF THE CONTEMPORARY EDUCATION IN CONDITIONS OF INFORMATION SOCIETY CONSTRUCTION

Jaroslav Vagramenko, Sava Grozdev, Alexander Rusakov

ANALYSIS OF THE PROBLEMS AND PERFORMANCE OF THE STUDENTS FROM 11\(^{th}\) AND 12\(^{th}\) GRADESIN THE REGIONAL MATHEMATICS TOURNAMENT KARDZHALI’ 2015

Rosen Nikolaev, Jordan Petkov

METHODS FOR ACTIVE LEARNING OF PROSPECTIVE STUDENTS IN INFORMATICS

Hristo Krushkov

CEVIAN AND SYMMEDIAN IN THE TRIANGLE. STEWART’ S THEOREM

Rumyana Nestorova

A GENERALIZATION OF A CESAR KOSHNICA THEOREM

Sava Grozdev, Veselin Nenkov

COMPUTATIONAL LINGUISTICS: AN ATTRACTIVE MEANS FOR ACTIVE LEARNING

Hristo Krushkov

PARADIGM FOR THE EDUCATION

Hari Aleksiev

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 4, 2015

Issue 2

DEVELOPMENT OF THE MATHEMATICAL EDUCATION IN RUSSIA IN THE XVIII CENTURY

Tatyana Butorina

PROGRAMMING EXPERIMENTS WITH PROBLEMS OF HERON TYPE

Pavel Azalov

EULER-VENN DIAGRAMS OR MZ-CARDS IN PRIMARY SCHOOL MATHEMATICS

Zdravko Lalchev, Margarita Varbanova, Irina Voutova, Ivan Doushkov

ONE MORE IDEA TO SOLVE TRIGONOMETRIC EQUATIONS

Diyana Stefanova, Plamen Penev

CONNECTING THE EDUCATION IN ALGEBRA AND GEOMETRY

Rumiyana Mavrova, Penka Rangelova

COMPARATIVE ANALYSIS REGARDING THE USE OF COMPLEX NUMBERS IN SECONDARY SCHOOL

Katerina Anevska, Sava Grozdev, Risto Malcheski

METHODICAL AND TECHNOLOGICAL REALIZATION OF DIDACTICAL DESIGN IN MATHEMATICS TEACHING

Nataliya Pavlova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 3, 2015 Г.

Issue 1

EDITORIAL / КЪМ ЧИТАТЕЛЯ

Sava Grozdev

ARITHMETICAL OR ALGEBRAIC METHOD IN SOLVING PRIMARY SCHOOL MATHEMATICAL PROBLEMS

Zdravko Lalchev, Margarita Varbanova, Irina Voutova

REALIZATION OF THE DIDACTIC POSSIBILITIES OF THE INFORMATION AND COMMUNICATION TECHNOLOGIES IN THE FORMATION OF CREATIVE SKILLS AND THE DEVELOPMENT OF INVESTIGATING HABITS

Alexander Rusakov

STATIONARY NUMBERS

Smaiyl Makyshov

A GENERAL APPROACH TO ESTABLISH RELATIONS AMONG THE RADII OF TANGENT CIRCLES

Sava Grozdev, Veselin Nenkov

EXTRACURRICULAR ACTIVITIES IN MATHEMATICS – A DIFFERENT FORM FOR STUDENT MOTIVATION

Zara Danailova-Stoynova, Ivaylo Staribratov

THIRTEENTH INTERNATIONAL LINGUISTICS OLYMPIAD

Ivan Derzhanski

INTERNATIONAL ZHAUTIKOV OLYMPIAD

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 2, 2015

Year LVIII, 2015

Issue 6

Metodi Glavche, Risto Malčeski, Katerina Anevska

MATHEMATICAL SKILLS ARE REQUIRED IN THE CHANGING WORLD

Desislava Georgieva

HISTORICAL PREREQUISITES FOR FINGER MATH AND THE MATHEMATICS EDUCATION OF STUDENTS WITH SPECIAL EDUCATIONAL NEEDS

Milen Zamfirov

ONE MORE PROOF FOR THE DISTANCE BETWEEN THE INCENTRE AND THE ORTHOCENTRE OF THE TRIANGLE

Šefket Arslanagić

COMPUTER DISCOVERED MATHEMATICS: PEDAL CORNER PRODUCTS

Sava Grozdev DSc, Deko Dekov

A GENERALIZATION OF THE ORTHOCENTRIC TRIANGLE

Haim Haimov

FONTENÉ THEOREM WITH RESPECT TO SURCUMSCRIBED CENTRAL CONICS

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1, 2015

GENIUS WITH BULGARIAN ORIGIN

Sava Grozdev

Issue 5

FROM MATHEMATICAL TO COMPUTER GAMES

Pavel Azalov

THE FOUR-MEMBER RELATION “OPERATIONS-PROCEDURESACTIVITIES-ACTIONS” IN THE “OPPRODEY” SYSTEM AND ITS CONTRIBUTION TO THE EFFECTIVE EXECUTION OF INFORMATION PROCESSES IN TO ELECTRONIC DOCUMENTS

Ridvan Isufov

STANDARDS AND SPECIFICATIONS IN THE E-LEARNING FIELD

Milen Petrov, Kamelia Yotovska

COMPUTER DISCOVERED MATHEMATICS: ANTIPEDAL CORNER PRODUCTS

Sava Grozdev, Deko Dekov

FULL GENARIZATION OF THE GRIFFITS THEOREM WITH CONICS

Sava Grozdev, Veselin Nenkov

GENESIS AND DEVELOPMENT OF THE THEORY OF UNIFORM DISTRIBUTION

Sylviya Baycheva, Vassil Grozdanov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 6, 2014

Issue 4

COMPOSITE ARITHMETIC PROBLEMS. STRUCTURE-TECHNOLOGICAL MODEL AND MZ-MAP OF A PROBLEM. WORD PROBLEMS

Zdravko Lalchev, Margarita Varbanova

A MATHEMATICAL CLASS IN FOURTH GRADE

Diana Stefanova

THE GOLDEN SECTION AND THE FIBONACCI NUMBERS SYNERGETIC RELATIONSHIP BETWEEN MATHEMATICS, INFORMATICS AND MUSIC

Kamelia Koleva, Valentin Bakoev

ANALYSIS OF THE PAPER FOR THE REGIONAL ROUND OF THE INTERNATIONAL MATHEMATICAL COMPETITION FOR UNIVERSITY STUDENTS “EUROPEAN KANGAROO”

Veselin Nenkov, Yordan Petkov

TWO SYMMETRIC POLAR LINES AND TWO HARMONICALLY CONJUGATED POLEs

Sava Grozdev, Veselin Nenkov

COMPUTER-DISCOVERED MATHEMATICS: CEVIAN CORNER PRODUCTS

Sava Grozdev, Deko Dekov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 5, 2014

Issue 3

ELEMENTARY ARITHMETIC PROBLEMS. STRUCTURE AND MATHEMATICAL MODEL. CLASSIFICATION. WORD PROBLEMS

Margarita Varbanova, Zdravko Lalchev, Irina Voutova

USING FORMATIVE ASSESSMENT IN HOMEWORK

Borislava Kirilova

COMPARATIVE ANALYSIS REGARDING THE STUDY OF TRANSFORMATIONS IN THE EUCLIDEAN PLANE BY APPLYING COMPLEX NUMBERS

Katerina Anevska, Sava Grozdev, Risto Malcheski

A PROJECT-BASED APPROACH: THE FORMATION OF COMPUTING SKILLS THROUGH MULTIDISCIPLINARY INTERCONNECTIONS AND THE INCORPORATION OF ELECTRONIC DEVICES

Kosta Garov, Angel Angelov, Lambri Yovkov

PEDAGOGICAL AND ERGONOMIC APPROACH IN THE DEVELOPMENT OF MULTIMEDIA LEARNING ENVIRONMENT IN COMPUTER SCIENCE

Evgenia Goranova

MOTIVATIONAL PROBLEMS IN TEACHING MATHEMATICS

Rumjana Mavrova, Penka Rangelova, Zara Danailova-Stojnova

COLLABORATION WITHIN MATHEMATICS EDUCATION IN SECONDARY SCHOOLS AND IN UNIVERSITIES

Mariana Durcheva, Elena Varbanova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 4, 2014

Issue 2

SPREADSHEETS AS TOOLS FOR CONSTRUCTING MATHEMATICAL CONCEPTS

Erich Neuwirth

EDUCATION OF A MATHEMATICIAN – EXPERIMENTALIST, OR SOFT MANIFESTO OF EXPERIMENTAL MATHEMATICS

Alexander Yastrebov, Maria Shabanova

COMPUTER-DISCOVERED MATHEMATICS: LALESCO PRODUCTS

Sava Grozdev, Deko Dekov

INDEPENDENT PROBLEM SOLVING WITH EXCEL

Plamen Penev, Diana Stefanova

MODIFICATION OF THE PROJECTION METHOD TO FIND THE DISTANCE BETWEEN SKEW LINES

Vladimir Zhuk

GENERALIZATION OF SOME TYPES OF INDEFINITE INTEGRALS, WHICH CAN BE SOLVED BY RECURRENCE

Rosen Nikolaev

APPLYING CLOUD COMPUTING FOR A MORE EFFICIENT EVALUATION OF PRACTICAL PROJECTS

Emil Delinov

APPROACHES IN DEVELOPING GUI AND WORKING WITH SEVERAL APPLICATIONS

Todorka Terzieva

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 3, 2014

Issue 1

М. V. LOMONOSOV AND THE TRADITIONS OF THE UNIVERSITY EDUCATION

Тatyana Butorina

AN XML MODEL FOR AUTOMATIC GENERATION OF PROGRAM TEXTS

Pavel Azalov

THE COMPUTER IMPROVES THE STEINER’S CONSTRUCTION OF THE MALFATTI CIRCLES

Sava Grozdev, Deko Dekov

A GEOMETRICAL CONSTRUCTION OF A CEVA CURVE

Sava Grozdev, Veselin Nenkov

STIMULATING STUDENTS’ ACTIVITY IN THE TEACHING PROCESS BY INTERACTIVE METHODS

Lilyana Karakasheva-Yoncheva

THE ROLE OF STUDENTS‘ EMOTIONS IN THEIR MOTIVATION TO STUDY MATHEMATICS

Rumjana Mavrova, Zara Danailova

COGNITIVE DIMENSIONS TO BLIND MATHEMATICIANS

Milen Zamfirov

ANALYSIS OF THE PROBLEMS AND PERFORMANCE OF THE STUDENTS FROM 12TH GRADE ON THE REGIONAL MATHEMATICS TOURNAMENT IN KARDZHALI – 2014

Rosen Nikolaev, Jordan Petkov

TKE TWELFTH INTERNATIONAL OLYMPIAD IN LINGUISTICS

Ivan Derzhanski

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 2, 2014

Year LVII, 2014

Issue 6

COMPUTER-GENERATED MATHEMATICS: A NOTE ON THE HAIMOV TRIANGLE

Sava Grozdev, Deko Dekov

LEARNING THROUGH DISCOVERIES – A NEW EFFECTIVE APPROACH WITHIN LEARNING THROUGH EXPERIMENTATION

Sava Grozdev, Deko Dekov

MATHEMATICAL MODELS OF REAL PROCESSES AND APPLICATIONS OF COMPUTER ALGEBRA SYSTEMS TO THEIR STUDY: PART TWO

Tihomir Ivanov

A REFINEMENT OF AN INEQUALITY WITH RADICALS

Šefket Arslanagić

AN INEQUALITY FOR A RIGHT TRIANGLE AND ITS GENERALIZATION

Šefket Arslanagić

A CONCURRENCE, GENERATED BY TANGENTS

Sava Grozdev, Veselin Nenkov

A PEDAL CURVE OF A POINT WITH RESPECT TO A FEUERBACH CONFIGURATION

Sava Grozdev, Veselin Nenkov

EUROPEAN STUDY GROUPS WITH INDUSTRY – TRADITIONS AND CHALLENGES

Stefka Dimova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1, 2014

Issue 5

INFORMATICS IN THE SCHOOLS OF RUSSIA

Sergei Beshenkov, Etery Mindzeva

MATHEMATICAL MODELS OF REAL PROCESSES AND APPLICATIONS OF COMPUTER ALGEBRA SYSTEMS TO THEIR STUDY

Tihomir Ivanov

MORE HEURISTICS BY EXCEL

Plamen Penev

USING THE GRAPHIC CONSTRUCTOR OF COMBINATIONAL SCHEMES LC IN THE STUDY OF COMPLETE SETS OF BOOLEAN FUNCTIONS

Vilislav Radev

THEORETICAL-METHODOLOGICAL ASPECTS OF THE MATHEMATICS EDUCATION CONCEPT DESIGN

Georgi Gaidarji, Alexander Rusakov

TWO APPROACHES TO STUDY EQUATIONS IN PRIMARY SCHOOL MATHEMATICS

Zdravko Lalchev, Margarita Varbanova, Irina Voutova

MACHINE APPROACH TO EUCLIDEAN GEOMETRY: EULER TRIANGLES, EULER PRODUCTS AND EULER TRANSFORMS

Sava Grozdev, Deko Dekov

FORMATION OF KNOWLEDGE ON CURVES OF SECOND DEGREE

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 6, 2013

Issue 4

INFORMATICS AND MATHEMATICS IN THE CONTEXT OF INTERDISCIPLINARITY

Sergei Beshenkov, Alibek Dzamihov

A SHORT MANUAL FOR THE COMPUTER ALGEBRA SYSTEM WOLFRAM MATHEMATICA

Tihomir Ivanov

COMPUTER-GENERATED MATHEMATICS: KOSNITA PRODUCTS IN EUCLIDEAN GEOMETRY

Sava Grozdev, Deko Dekov

EDUTAINMENT LEARNING STYLE USING COMPUTER GRAPHICS

1 Hristo Krushkov, 2 Asen Rahnev, 3 Mariana Krushkova

SOME PROPERTIES OF A TYPE OF CURVES, GENERATED BY A NAGEL POINT

Sava Grozdev, Veselin Nenkov

HONEYCOMB – A GENIUS CREATION OF NATURE

Risto Malčeski

THREE SOLUTIONS OF A PROBLEM WITH FOUR CIRCLES

Šefket Arslanagić

MOTIVATION IN PROBLEM SOLVING BY TASK PREFORMULATION

Sava Grozdev, Diana Stefanova

A CLASS LESSON FOR THE APPLICATION OF FUNCTIONS TO PROBLEMS IN ECONOMICS

Petya Syarova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 5, 2013

Issue 3

THE INVERSION – A METHOD IN PRIMARY SCHOOL MATHEMATICS

Zdravko Lalchev, Margarita Varbanova

CREATIVE ACTIVITY STIMULATION OF BILINGUAL STUDENTS BY DYNAMIC SOFTWARE

Sava Grozdev, Diana Stefanova, Kalina Vasileva, Stanislava Koleva, Radka Todorova

PROGRAMMING OF NUMBER SERIES

Ivaylo Staribratov, Tcvetana DimitrovaHigh School of Mathematics

A CEVA CURVE FOR A POINT IN THE PLANE OF A TRIANGLE

Sava Grozdev, Veselin Nenkov

AN INTERESTING ALGEBRAIC INEQUALITY AND SOME APPLICATIONS

Šefket Arslanagić

SOME METHODOLOGICAL APPROACHES TO COMPOSE OLYMPIAD PROBLEMS

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 4, 2013

Issue 2

ON THE CONTEMPORARY METHODS IN PRIMARY SCHOOL MATHEMATICS

Zdravko Lalchev

2D ARRAYS: SEARCH ALGORITHMS AND EXPERIMENTS

Pavel Azalov

FRACTAL METHODS IN PHYSICS

Valerii Sekovanov, Elena Seleznjova, Svetlana Shljahtina

HOMOTHETIC CONICS IN THE PLANE OF A

Sava Grozdev, Veselin Nenkov

SOME METHODOLOGICAL GENERALIZATIONS IN THE SOLUTION OF A TYPE OF LINEAR ALGEBRA PROBLEMS

Rosen Nikolaev, Jordan Petkov

THE “EUROPEAN KANGAROO” COMPETITION FOR STUDENTS WITH VISUAL IMPAIRMENTS

Sava Grozdev, Eliza Petrova

ANALYSIS OF PROBLEM SOLVING IN INFORMATICS FOR 12 – 13 YEAR OLD STUDENTS IN BULGARIA

Ivaylo Staribratov, Bistra Taneva

A MODEL FOR CONSTRUCTION PROBLEM SOLVING BY DYNAMIC SOFTWARE

Vania Bizova-Laleva

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 3, 2013

Issue 1

INTEGRATING SOFTWARE APPLICATIONS – SOME EXEMPLARY PROBLEMS

Angel Angelov

HEURISTICS BY EXCEL

Plamen Penev

COMPUTER-GENERATED MATHEMATICS: ELABORATION OF A TOPIC FROM EUCLIDEAN GEOMETRY

Sava Grozdev, Deko Dekov

THEORETICAL-PRACTICAL BASE OF VECTOR-ALGEBRAIC MODELING IN GEOMETRY EDUCATION

Irina Voutova

A GENERALIZATION OF THE PYTHAGORAEN THEOREM IN EXTRACURRICULAR CLASSES OF MATHEMATICS

Rumjana Nestorova

SOME INEQUALITIES IN THE TRIANGLE

Šefket Arslanagić

SEVERAL HOMOTHETICALLY GENERATED PROPERTIES OF THE FEUERBACH CONFIGURATIONS

Sava Grozdev, Veselin Nenkov, Deko Dekov

ELEVENTH INTERNATIONAL LINGUISTICS OLYMPIAD

Ivan Derzhanski

A CLASSICAL TEXTBOOK IN ALGEBRA

Donka Pashkuleva

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 2, 2013

Year LVI, 2013

Issue 6

FIVE NEW PROOFS OF ONE TRIGONOMETRIC INEQUALITY IN THE TRIANGLE

Šefket Arslanagić, Alija Muminagić

A GENERALIZATION OF AN INEQUALITY FOR TRAPEZOID

Veselin Nenkov

PROJECTIVE ALGEBRAIC CURVES, CONICS AND PASCAL THEOREM

Zhivko Zhelev

GRAPHICAL AND NUMERICAL COMUTER-AIDED SOLUTIONS OF EQUATIONS AND INEQUALITIES

Sava Grozdev, Deko Dekov

ABOUT CERTAIN FOUNDATIONS IN THE DESIGN OF A HEURISTIC-ORIENTED SYSTEM OF GEOMETRIC PROBLEMS

Nina Ivanova

INTEGRATION OF GEOMETRIC FRACTAL STRUCTURES BY GEOGEBRA FOR A BLENDED LEARNING PROCESS

Magdalena Petkova

TEACHING STRATEGIES IN E-LEARNING ENVIRONMENT

Vencislav Dzambazov

MACHINE ARITHMETIC IN INFORMATICS CLASSES

Plamen Penev

CRITERIA FOR EVALUATION OF INFORMATION TECHNOLOGY PROJECTS IN THE E-TWINNING PLATFORM

Daniela Dimitrova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1, 2013

Issue 5

FIRST CREATIVE COMPETITION FOR MATHEMATICS TEACHERS OF KAZAKHSTAN

Kairosh Makishev

MATHEMATICAL REGATTAS

Alexander Blinkov

MARKOV CHAINS AND THEIR APPLICATION IN GOOGLE

Eugenia Stoimenova

SOME APPLICATIONS OF THE COMPUTER PROGRAM „DISCOVERER“

Sava Grozdev, Deko Dekov

AN INTERESTING PROPERTY FOR SOME CLASSES OF REAL FUNCTIONS

Rosen Nikolaev

SYNERGETIC APPROACH TO THE TRAINING PROCESS IN INFORMATION TECHNOLOGY

Evgenia Goranova

BOOSTING EFFICIENCY OF PROJECT-ORIENTED TEACHING AND LEARNING THROUGH CLASSROOM MANAGEMENT AND ONLINE TESTING

Ivan Shotlekov, Vanya Ivanova, Kirina Boykova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 6, 2012

Issue 4

PREPARATION FOR OLYMPIADS – A CONVENIENT CAUSE TO DISCUSS REFINEMENTS OF MATHEMATICAL REASONINGS

Vjacheslav Tepljakov, Nina Patronova

ON MATHEMATICS TEACHING TO STUDENTS WITH VISUAL IMPAIRMENTS

Sava Grozdev, Eliza Petrova

ON MATHEMATICS EDUCATION FOR GIPSY STUDENTS (\(5^{\text {th }}-7^{\text {th }}\) GRADES )

Sava Grozdev, Diana Stefanova

LOCATION OF REMARKABLE POINTS AND STRAIGHT LINES IN THE TRIANGLE

Hristo Lessov

RЕDUCTION OF IRRATIONAL AND TRANSCENDENTAL EQUATIONS AND INEQUALITIES TO ABSOLUTE VALUE ONES

Penka Rangelova

EXTREMAL PROBLEMS IN HIGH SCHOOL BY COMPUTER TABLES

Sava Grozdev, Deko Dekov

MODEL-VIEW-CONTROLLER ARCHITECTURE HELPING IN TEACHING OF WEB TECHNOLOGIES

Hristo Hristov, Hristo Krushkov

THE FIRST BULGARIAN TEXTBOOK ON PROBABILITY THEORY

Plamen Mateev

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 5, 2012

Issue 3

АКАДЕМИК ПЕТЪР КЕНДЕРОВ НА 70 ГОДИНИ

chl. kor. Yulian Revalski

TOOLS FOR METHODICAL COMPETENCE FORMATION OF FUTURE MATHEMATICS TEACHERS IN A HEURISTIC TEACHING SYSTEM

Olena Skafa

SMOOTH TRANSITION FROM PROBLEMS TO PROJECTS IN INTRODUCTORY PROGRAMMING COURSES

Pavel Azalov

CLOUD TECHNOLOGIES AND SOME POSSIBILITIES FOR APPLICATION IN EDUCATION

Sava Grozdev, Ivanka Marasheva, Emil Delinov

PRACTICAL EXAMPLES OF TECHNOLOGICAL TOOLS FOR IMPLEMENTATION OF WEB 2.0 EDUCATION IN MATHEMATICS

Filip Petrov, Daniela Dureva-Tuparova

THE LEARNING ACTIVITY „COMPREHENSION“ IN STUDYING “ELECTRONIC TABLES” IN INFORMATION TECHNOLOGY EDUCATION IN 7-TH GRADE

Kosta Garov, Elena Todorova

INFORMATICS TASKS FOR COMPETITIONS IN GROUP E

Ivaylo Staribratov, Tzvetana Dimitrova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 4, 2012

Issue 2

EXPERIMENTAL MATHEMATICS AT SCHOOL

Sava Grozdev, Borislav Lazarov

„EXIT INTO THE SPACE“ BY INTERACTIVE GEOMETRIC ENVIRONMENT

Maria Shabanova, Svetlana Kotova

MATHEMATICS WITH COMPUTER

Sava Grozdev, Deko Dekov

INFORMATION TECHNOLOGIES IN MATHEMATICS EDUCATION: TOOL FOR OR BARRIER AGAINST FORMING ABSTRACT THINKING

Tanya Tonova, Nikolina Nikolova

INTERACTIVE STUDY OF CIRCUMSCRIBED QUADRILATERALS IN DYNAMIC ENVIRONMENT

Bistra Tsareva, Radka Todorova

ELLIPTIC ARBELOS

Prolet Lazarova

THREE PROPERTIES OF THE TRIANGLE GENERATED BY ITS ALTITUDES

Sava Grozdev, Veselin Nenkov

MARKETING RESEARCH WITH SCHOOL KNOWLEDGE

Vania Bizova–Laleva

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 3, 2012

Issue 1

ФРАГМЕНТИ ОТ ПАМЕТТА

Gencho Skordev

WHAT IS GREATER: \(\boldsymbol{\pi} \boldsymbol{\%}\) from e or e% from \(\boldsymbol{\pi}\) ?

Nickolay Rozov

COMPUTING PROBLEMS ON MATHEMATICAL PUZZLES OR… AN EMPIRICAL APPROACH FOR EVALUATING THE PROGRAM EXECUTION TIME

Pavel Azalov

TOWARDS THE FIRST COMPUTER-GENERATED ENCYCLOPEDIA

Sava Grozdev, Deko Dekov

SEVERAL PROOFS OF AN ALGEBRAIC INEQUALITY

Šefket Arslanagić

VIRTUAL REALITY – A NEW VISION ON THE CONTEMPORARY EDUCATION

Daniela Minkovska

USING DYNAMIC AND INTERACTIVE MODELS FOR CURRICULUM PRESENTATION OF A ”COMPUTER NETWORKS AND COMMUNICATIONS“ COURSE

Gencho Stoitsov, Kosta Garov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 2, 2012

Year LV, 2012

Issue 6

ИЗУЧАВАНЕ НА МАТЕМАТИКА С НОВИ СРЕДСТВА ЗА КОМУНИКАЦИЯ

TWO DIDACTICAL LADDERS

Sava Grozdev, Svetlozar Doichev

PONCELET THEOREM FOR QUADRILATERALS

Sava Grozdev, Veselin Nenkov

SOME NON-STANDARD METHODS IN PROBLEM SOLVING OF EQUATIONS, INEQUALITIES AND SYSTEMS

Zapryan Zapryanov, Nikolay Raikov

USING MATRICES IN SCHOOL EDUCATIONAL COURSE

Borislava Kirilova

PARAMETERS, TABLES AND DYNAMIC CHARTS

Vania Bizova–Laleva

LOCI, THAT ARE GENERATED BY CONJUGATED LINES AND CEVIANS

Sava Grozdev, Veselin Nenkov

USING VISUAL BASIC FOR APPLICATIONS IN SOLVING PRACTICAL PROBLEMS IN INFORMATION TECHNOLOGY TRAINING

Asen Rahnev, Kosta Garov, Stefka Aneva

EXTRACTION OF OBJECTIVE KNOWLEDGE FROM INTERNET

Ivaylo Penev, Plamen Penev

EXTERNAL EVALUATION ANALYSIS OF MATHEMATICS AT FOURTH CLASS FOR YEAR 2012 IN BULGARIA

Milen Zamfirov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 1, 2012

IN MEMORIAM

Issue 5

***

MATHEMATICAL COMPETITIONS AND STUDENTS‘ SELF-ESTEEM

Gregor Dolinar

EXTERNAL EVALUATION ANALYSIS OF MATHEMATICS AT FOURTH GRADE FOR YEAR 2011 IN BULGARIA

Milen Zamfirov

SYNERGETIC MODEL “AWAKENING MATHEMATICAL TEACHING”

Darinka Galabova

ONE PROBLEM – SEVERAL “ELEMENTARY” SOLUTIONS

Julia Ninova, VesselkaMihova

VAN AUBEL’S THEOREM AND APPLICATIONS

Todorka Glushkova, Boyan Zlatanov

THE MATHEMATICAL CLUB “SIGMA” IN THE LIGHT OF THE PROJECT SUCCESS

Sava Grozdev, Ivanka Marasheva, Emil Delinov

DISSERTATIONS IN PROFESSIONAL DIRECTION “PEDAGOGY”

Petya Asenova, Sava Grozdev

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 6, 2011

I N M E M O R I A M

Issue 4

ANALYSIS OF THE PROBLEMS FROM THE NATIONAL OLYMPIAD IN MATHEMATICS FOR UNIVERSITY STUDENTS

Sava Grozdev, Veselin Nenkov

ANALYSIS OF TWO PROBLEMS FROM THE INTERNATIONAL MATHEMATICAL OLYMPIAD

Sava Grozdev

UBIQUITOUS ARCHIMEDEAN CIRCLES

Hiroshi Okumura

MANAGING UPGRADES OF OPEN SOURCE VIRTUAL LEARNING ENVIRONMENT

Vencislav Dzhambazov

THE EXAM FOR THE FOURTH PROFESSIONAL QUALIFICATION DEGREE IN MATHEMATICS

Galya Kozhuharova

PREPARATION OF TEACHERS FOR OBTAINING FIFTH AND FOURTH PROFESSIONAL DEGREES IN INFORMATICS AND INFORMATION TECHNOLOGIES

Dimitrina Branekova

COMPUTER HEURISTICS AND THEIR USЕ IN THE OLYMPIAD MATHEMATICS

Zhivko Zhelev

TWO EDUCATION RESEARCH INITIATIVES

Borislav Lazarov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 4, 2011

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 5, 2011

MATHEMATICAL TOURNAMENT RUMEN GROZDANOV-\(\mathrm{X}^{\mathrm{TH}}\) EDITION

Ivaylo Staribratov

Issue 3

НАЦИОНАЛЕН КОНКУРС „МЛАДИ ТАЛАНТИ” 2012

Georgi Dyankov

SUBJECTIVITY AS A METHODOLOGICAL PRINCIPLE IN INFORMATIZATION OF EDUCATION

Tayana Fedorovna Sergeeva, Sava Grozdev

DISTANCE LEARNING AS INNOVATION TREND OF EDUCATION

Liudmila Khaymina, Evgeny Khaymin

TECHNOLOGICAL TOOLS FOR DEVELOPMENT, DELIVERING AND MAINTENANCE OF E-LEARNING CONTENT AND COURSES

Georgi Tuparov, Daniela Tuparova

RANDOM INTERNET SURFING

Eugenia Stoimenova

INDIVIDUAL EDUCATIONAL TRAJECTORY – A CASE STUDY

Borislav Lazarov

TECHNOLOGICAL MODEL FOR CREATING MULTIMEDIA PRESENTATIONS IN MATHEMATICS BY STUDENTS TEAMWORK

Petya Draganova

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 2, 2011

РЕШЕНИЯ НА ЗАДАЧИТЕ ОТ БРОЙ 3, 2011

MATHEMATICAL TOURNAMENT RUMEN GROZDANOV - XTH EDITION

Ivaylo Staribratov

Issue 2

19-ТИ КОНКУРС „МИНКО БАЛКАНСКИ” ПО МАТЕМАТИКА И ФИЗИКА

УЧИТЕЛИ ПО МАТЕМАТИКА, ЗАЩИТИЛИ ПЪРВА И ВТОРА ПРОФЕСИОНАЛНО-КВАЛИФИКАЦИОННА СТЕПЕН ПРЕЗ 2011 Г.

SEEMOUS OLYMPIAD FOR UNIVERSITY STUDENTS

Sava Grozdev, Veselin Nenkov

EUROMATH SCIENTIFIC CONFERENCE

Sava Grozdev, Veselin Nenkov

FIVE WAYS TO SOLVE A PROBLEM FOR A TRIANGLE

Šefket Arslanagić, Dragoljub Milošević

PROPORTIONS

Valya Georgieva

REFLECTION ON THE ACTIVITY OF SOLVING PROBLEMS

Darinka Galabova, Mincho Bejkov

A JOURNEY IN THE WORD OF COMBINATORICS

Rositsa Kercheva, Rumyana Ivanova

TANGENT CIRCLES, GENERATED BY AN INCIDENT POINT AND A LINE

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ НА БРОЯ

Ivaylo Staribratov

Issue 1

КЪМ ЧИТАТЕЛЯ / ЕDITORIAL

80-ГОДИШЕН ЮБИЛЕЙ

COMPARATIVE ANALYSIS OF THE 8\(^{TH}\) ZHAUTYKOV OLYMPIAD

Sava Grozdev, Kairosh Makishecv

BUFFON’S NEEDLE AND ESTIMATION OF THE \(\boldsymbol{\pi}\) NUMBER

Evgenia Stoimenova

ON THE E-LEARNING

Daniela Dureva (Tuparova)

REQUIREMENTS TO OBTAIN PROFESSION-QUALIFICATION DEGREES

Galia Kozhuharova

МЕЖДУНАРОДНИ КОНКУРСИ ЗА РАЗРАБОТВАНЕ НА ПРОЕКТИ

MATHEMATICS IS AMUSING

Veselina Valkanova

COMPARISON OF EXPRESSIONS WITH SQUARE ROOTS

Ginka Bizova, Vania Laleva

COUNTING OF INTERSECTION POINTS OF SEGMENTS AND LINES

Julia Krasteva

TWO PAIRS OF POINTS, GENERATED BY CENTRAL CONICS WITH RESPECT TO A TRIANGLE

Sava Grozdev, Veselin Nenkov

КОНКУРСНИ ЗАДАЧИ

ПРИМЕРНА ТЕМА ЗА ВЪТРЕШЕН ПРОФИЛИРАЩ ИЗПИТ ПО МАТЕМАТИКА