ANIMATION OF ESSENTIAL CALCULUS CONCEPTS IN MAPLE

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F12%3A50001519" target="_blank" >RIV/62690094:18450/12:50001519 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

ANIMATION OF ESSENTIAL CALCULUS CONCEPTS IN MAPLE

Popis výsledku v původním jazyce

The notion of the limit of a real function belongs to essential concepts of calculus. A part of higher schools students has learned the notion in the secondary school mathematics, but, as a rule, the concept of the limit is one of the crucial introductory topics in calculus lectured at universities. Some students understand the concept only intuitively, mainly due to ideas based on the movement of a body. There are different ways how a teacher could demonstrate the correspondence between the intuitive insight and the exact definition of the limit. The paper shows how the concept of limit of a function can be illustrated with Maple animation. The paper deals also with the principle of some other animations, e.g. of continuity of function and the derivative of a function at a point, and the Riemann?s definite integral. More general problems on teaching and learning are discussed, especially those connected with the special role of learning outcomes in calculus.

Název v anglickém jazyce

ANIMATION OF ESSENTIAL CALCULUS CONCEPTS IN MAPLE

Popis výsledku anglicky

The notion of the limit of a real function belongs to essential concepts of calculus. A part of higher schools students has learned the notion in the secondary school mathematics, but, as a rule, the concept of the limit is one of the crucial introductory topics in calculus lectured at universities. Some students understand the concept only intuitively, mainly due to ideas based on the movement of a body. There are different ways how a teacher could demonstrate the correspondence between the intuitive insight and the exact definition of the limit. The paper shows how the concept of limit of a function can be illustrated with Maple animation. The paper deals also with the principle of some other animations, e.g. of continuity of function and the derivative of a function at a point, and the Riemann?s definite integral. More general problems on teaching and learning are discussed, especially those connected with the special role of learning outcomes in calculus.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Aplimat : journal of applied mathematics

ISSN

1337-6365

e-ISSN

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Svazek periodika

5

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

SK - Slovenská republika

Počet stran výsledku

10

Strana od-do

355-364

Kód UT WoS článku

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EID výsledku v databázi Scopus

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