"Az-buki" National Publishing House
Ministry of Education and Science
Wikipedia
  • Login
  • Registration
Аз-букиAz-buki National Publishing House for Education and Science
Няма резултати
Вижте всички резултати
  • Main Page
  • About us
    • About us
    • Who we are
    • Team
    • Ethics
    • Documents
  • Az-buki Weekly
  • Journals
    • Strategies for Policy in Science and Education
    • Bulgarian Language and Literature
    • Pedagogika-Pedagogy
    • Mathematics and Informatics
    • Natural Science and Advanced Technology Education
    • Vocational Education
    • Istoriya-History journal
    • Chuzhdoezikovo Obuchenie-Foreign Language Teaching
    • Filosofiya-Philosophy
  • Editions
  • Projects
  • Advertising
  • Subscribe now
  • Contact
  • en_US
  • bg_BG
  • Main Page
  • About us
    • About us
    • Who we are
    • Team
    • Ethics
    • Documents
  • Az-buki Weekly
  • Journals
    • Strategies for Policy in Science and Education
    • Bulgarian Language and Literature
    • Pedagogika-Pedagogy
    • Mathematics and Informatics
    • Natural Science and Advanced Technology Education
    • Vocational Education
    • Istoriya-History journal
    • Chuzhdoezikovo Obuchenie-Foreign Language Teaching
    • Filosofiya-Philosophy
  • Editions
  • Projects
  • Advertising
  • Subscribe now
  • Contact
  • en_US
  • bg_BG
Няма резултати
Вижте всички резултати
Аз-буки Az-buki National Publishing House for Education and Science
Няма резултати
Вижте всички резултати
Main Page Uncategorized

The Pythagorean Tree with Geogebra as a Motivator for the Implementation of Augmented Reality in School

„Аз-буки“ by „Аз-буки“
24-10-2025
in Uncategorized
A A

Koya Chehlarova 1), Toni Chehlarova 2)

1) University of Library Studies and Information Technologies, Sofia (Bulgaria)
2) Institute of Mathematics and Informatics, BAS, Sofia (Bulgaria)

https://doi.org/10.53656/math2025-5-5-ptg

Abstract. A variant for interactive presentation of content with the inclusion of augmented reality using dynamic software GeoGebra is described. A concretization is made with the Pythagorean Tree fractal. The goal is to support the understanding and memorization of the relevant content by providing conditions for research and experience, as well as for gaining experience in using augmented reality as a technology and motivating teachers to implement it in school. Models are described with which the growth of the fractal is observed through animation, as well as changes depending on several parameters. Basic ideas for creating the relevant compositions with dynamic software GeoGebra are described. The goal is to facilitate the use of this resource when working in STEAM centers. An expert assessment of the proposed resources and methodology is presented, as well as the results of a pilot study. Possibilities for continuing research on the topic are discussed both in terms of interpretations related to the fractal (for example, using different angles in the steps, different coloring options, using figures other than regular polygons, etc.), and in terms of software products for creation and technological tools for impact (for example, virtual reality, mapping, etc.). The possibility of using such resources in science museums is also emphasized, which will improve the implementation of their educational function.
Keywords: interactivity, augmented reality, fractal, Pythagorean Tree, STEAM, GeoGebra

Log in to read the full text Your Image Description

Свързани статии:

Default ThumbnailConcept Formation TASKS with Five Set Venn Diagrams Default ThumbnailRobots in Learning – Educational STEAM Game Default ThumbnailCombinatorial Problems using Square and Triangular Grids with StruniMa and Geogebra Default ThumbnailEducational Resources with Percentages for the Development of the Visual Estimation
Tags augmented realityfractalGeoGebrainteractivityPythagorean TreeSTEAM

Последвайте ни в социалните мрежи

shareTweet
Previous article

Infrastructure for Deploying Large Language Models in Chatbots with Retrieval-augmented Generation

Next article

An Interdisciplinary Model for Teaching with Open Climate Data Across Mathematics, Informatics, and Geography

Next article

An Interdisciplinary Model for Teaching with Open Climate Data Across Mathematics, Informatics, and Geography

Mathematics and Informatics, Number 5/2025, Volume 68

За обидните думи

Да използваме ли думата рутина в новите ѝ значения?

Последни публикации

  • Държавата продължава подкрепата за млади учени
  • Зам.-министър Михалевска участва в майсторски клас за повишаване на аналитичните умения на учениците
  • Нова програма задържа родните таланти
  • Национален форум събира в Бургас учители вдъхновители
  • Бизнесът дарява 1 млн.лв. за ново издание на програма на INSAIT
  • Нови училищни STEM центрове отвориха врати в Белица и Якоруда
  • В столичната Втора английска езикова гимназия „Томас Джеферсън“ се проведе училищен практикум
  • Bulgarian Language and Literature, issue 6s/2025, Volume 67
  • Challenges to Quality Management in School Education in the European Union
  • Teacher Education in the Context of Digital Transformation and Innovation: Analysis of European Priorities and Their Reflection in the National Context
  • Artificial Intelligence in Foreign Language Teaching at Bulgarian School Education and Its Reflection in the Foreign Language Syllabi
  • Integrating Competences in Foreign Language Learning: Interdisciplinary Relations
  • Between Text and Practice: Digital and Entrepreneurial Competence in Bulgarian Language Teaching (8. – 10. Grade)
  • Mastering Key Competences in Bulgarian Language and Literature Classes in Secondary School (Analysis of Data from a Survey)
  • Key Competences and Bulgarian Language Education (Analysis of Bulgarian Language Curricula)
  • Teachers‘ Assessment of the Prevalence of Competences in Different Educational Models and Methods
  • Място, което дава думата на младите в Перник
  • Доверие не се купува – печели се
  • Бургаски ученици събраха над 4,5 тона отпадъци
  • Кюстендил се превърна в страна на справедливостта
  • Асистент с изкуствен интелект в помощ на директора
  • По стъпките на Уста Кольо Фичето

София 1113, бул. “Цариградско шосе” № 125, бл. 5

+0700 18466

izdatelstvo.mon@azbuki.bg
azbuki@mon.bg

Полезни линкове

  • Къде можете да намерите изданията?
  • Вход за абонати
  • Main Page
  • Contact
  • Subscribe now
  • Projects
  • Advertising

Az-buki Weekly

  • Вестник “Аз-буки”
  • Subscribe now
  • Archive

Scientific Journals

  • Strategies for Policy in Science and Education
  • Bulgarian Language and Literature
  • Pedagogika-Pedagogy
  • Mathematics and Informatics
  • Natural Science and Advanced Technology Education
  • Vocational Education
  • Istoriya-History journal
  • Chuzhdoezikovo Obuchenie-Foreign Language Teaching
  • Filosofiya-Philosophy

Newsletter

  • Accsess to public information
  • Условия за ползване
  • Профил на купувача

© 2012-2025 Национално издателство "Аз-буки"

Welcome Back!

Login to your account below

Forgotten Password? Sign Up

Create New Account!

Fill the forms bellow to register

All fields are required. Log In

Retrieve your password

Please enter your username or email address to reset your password.

Log In
en_US
bg_BG en_US
  • Login
  • Sign Up
Няма резултати
Вижте всички резултати
  • Main Page
  • About us
    • About us
    • Who we are
    • Team
    • Ethics
    • Documents
  • Az-buki Weekly
  • Journals
    • Strategies for Policy in Science and Education
    • Bulgarian Language and Literature
    • Pedagogika-Pedagogy
    • Mathematics and Informatics
    • Natural Science and Advanced Technology Education
    • Vocational Education
    • Istoriya-History journal
    • Chuzhdoezikovo Obuchenie-Foreign Language Teaching
    • Filosofiya-Philosophy
  • Editions
  • Projects
  • Advertising
  • Subscribe now
  • Contact
  • en_US
  • bg_BG

© 2012-2025 Национално издателство "Аз-буки"