"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

Teaching the Notion Conic Section with Computer

v.genkov@azbuki.bg by v.genkov@azbuki.bg
26-08-2021
in Uncategorized
A A

Marin Marinov, Petya Asenova
New Bulgarian University - Computer Science Department

https://doi.org/10.53656/math2021-4-5-pred

Abstract. The article discusses the problem of introducing and constructing mathematical concepts using a computer. The Wolfram Mathematica 12 symbolic calculation system is used at each stage of the complex spiral process to form the notion of conic section and the related concepts of focus, directrix and eccentricity.The nature of these notions implies the use of appropriate animations, 3D graphics and symbolic calculations. Our vision of the process of formation of mathematical concepts is presented. The notions ellipse, parabola and hyperbola are defined as the intersection of a conical surface with a plane not containing the vertex of the conical surface. The conical section is represented as a geometric location of points on the plane for which the ratio of the distance to the focus to the distance to the directrix is a constant value. The lines of hyperbola and ellipse are determined by their foci.The equivalence of different definitions for conical sections is commented.
Keywords: mathematical notions; conic sections; ellipse; parabola; hyperbola; focus; directrix; eccentricity; computer visualization

Log in to read the full text Your Image Description

Свързани статии:

Default ThumbnailNew Touches to the Portrait of King Ferdinand Default ThumbnailMethodological Preparation and Pedagogical Mastery in the Process of Strategic Management Teaching Default ThumbnailThe Evidenciality of Bulgarian Verb in Learning Bulgarian as a Foreign Language Default Thumbnail“God with a Machine”. Miglena Nikolchina

Последвайте ни в социалните мрежи

shareTweet
Previous article

The Development of Methodical Approaches to the Implementation of the Propedeutic Course of Informatics in Primary School by Means оf Kodu Game Lab

Next article

Learning Analytics Tool for Bulgarian School Education

Next article

Learning Analytics Tool for Bulgarian School Education

Of the Nature of Math and Math in Nature – a Sequel About Symmetry for Children and Adults

Annual Awards to Teachers in Mathematics and Computer Science & IT

Последни публикации

  • Доц. д-р Димитър Желев: Науката е динамична и постоянно има открития
  • Стенопис с пеперуди, птици и безкрайна дъга посреща първокласниците в СУ „Емилиян Станев“ във Велико Търново
  • Последният петък на септември – запазен за спорт
  • Как учениците в Първо СУ „Св. Седмочисленици“ в Търговище постигат високи резултати на матурата по математика
  • България с трима медалисти от Space Camp
  • Сп. „История“, книжка 4/2025, година XXXIII
  • ПОКАНА ЗА ИСТОРИЯ. Няколко критични бележки по повод първия опит за историческо изследване на телевизията в България
  • Dynamics of Cultural and Religious Processes in Areas of Depopulation
  • EUGENICS AND EUTHANASIA IN CZECHOSLOVAKIA (1914 – 1945): HISTORICAL, SOCIAL, AND EDUCATIONAL CONTEXTS
  • САРДИНСКИЯТ ВОЕННОПЛЕННИК ОТ АТАКАТА НА ЛЕКАТА БРИГАДА: ПРЕМЕЖДИЯТА НА ЛЕЙТЕНАНТ ДЖУЗЕПЕ ЛАНДРИАНИ ПО ВРЕМЕ НА КРИМСКАТА ВОЙНА
  • ИЗЧЕЗНАЛИ СОФИЙСКИ СГРАДИ И ПАМЕТТА ЗА СТОЛИЧНИЯ БЛАГОДЕТЕЛ ИВАН ДЕНКОГЛУ
  • НЮФУС ДЕФТЕРИТЕ КАТО ИЗВОР ЗА РЕГИОНАЛНИТЕ ИЗСЛЕДВАНИЯ
  • Сп. „Стратегии на образователната и научната политика“, книжка 4/2025, година XXXIII
  • SOCIAL INCLUSION AND EDUCATION WORK WITH INMATES DURING AND AFTER IMPRISONMENT. REVIEW OF THE INTERNATIONAL CONFERENCE ON SCIENTIFIC RESEARCH AND GOOD PRACTICES AND ITS PUBLISHED COLLECTION OF PAPERS
  • Европейската седмица на спорта #BeActive провокира към активност за десета година
  • ЕКОСИСТЕМНИ ИЗМЕРЕНИЯ НА ИНТЕГРИРАНИТЕ ПОЛИТИКИ И ПРАКТИКИ ЗА ПОДКРЕПА НА ЛИЧНОСТНОТО РАЗВИТИЕ В БЪЛГАРИЯ
  • ОПИТ И НАГЛАСИ НА БЪЛГАРСКИТЕ БИБЛИОТЕКИ КАТО ПАРТНЬОРИ В ОБЛАСТТА НА ДОСТЪПНИЯ ТУРИЗЪМ
  • COLLABORATION BETWEEN SOCIAL WORKERS (CASE MANAGERS) AND SOCIAL PEDAGOGUES IN THE APPLICATION OF THE FAMILY CASE MANAGEMENT MODEL
  • PARADIGMAL FOUNDATIONS OF ACADEMIC INTERACTION BETWEEN SCIENTIFIC INNOVATIONS AND THE PRESERVATION OF CULTURAL IDENTITY
  • ПРЕОБЛАДАВАЩИ НАСТРОЕНИЯ СРЕД БЪЛГАРСКИТЕ УЧИТЕЛИ И УНИВЕРСИТЕТСКИ ПРЕПОДАВАТЕЛИ ОТНОСНО РОЛЯТА НА ИЗКУСТВЕНИЯ ИНТЕЛЕКТ (ИИ) В ОБРАЗОВАНИЕТО
  • НЕОБХОДИМОСТ ОТ ИЗУЧАВАНЕ НА „ЗЕЛЕНО ПРЕДПРИЕМАЧЕСТВО“ В УНИВЕРСИТЕТИТЕ В БЪЛГАРИЯ
  • ТРАНСФОРМАЦИИ НА ПАЗАРА НА ТРУДА И НУЖДАТА ОТ ОБРАЗОВАТЕЛНИ РЕФОРМИ

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"