Spirals in mathematics teaching

D 2021

Spirals in mathematics teaching

BERÁNEK, Jaroslav

Základní údaje

Originální název

Spirals in mathematics teaching

Autoři

BERÁNEK, Jaroslav

Vydání

první. Brno, Mathematics, Information Technologies and Applied Sciences 2021 (post-conference proceedings of extended versions of selected papers), od s. 22-32, 11 s. 2021

Nakladatel

University of Defence in Brno

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

50301 Education, general; including training, pedagogy, didactics [and education systems]

Stát vydavatele

Česká republika

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

paměťový nosič (CD, DVD, flash disk)

Odkazy

URL

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14410/21:00123702

Organizační jednotka

Pedagogická fakulta

ISBN

978-80-7582-441-7

Klíčová slova anglicky

Length of curve; definite integral; spiral of Archimedes; logarithmic spiral; hyperbolic spiral; Fermat spiral

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 3. 3. 2022 11:18, Dana Nesnídalová

Anotace

V originále

The article was created as the result of the research oriented at the innovation of the content and forms of teaching Mathematics at universities. The article contains a few topics for motivation in the Mathematics teaching which are closely related to the possibilities of students´ research approach. Firstly, there are described several examples of mathematical spirals including historical remarks, further there are given these spirals´ equations in polar coordinates and in parametric formulations as well. In the conclusion there are derived the formulas for their lengths with the help of the integral calculus.

Citovat

BERÁNEK, Jaroslav. Spirals in mathematics teaching. In Jaromír Baštinec, Miroslav Hrubý. Mathematics, Information Technologies and Applied Sciences 2021 (post-conference proceedings of extended versions of selected papers). první. Brno: University of Defence in Brno, 2021, s. 22-32. ISBN 978-80-7582-441-7.

@inproceedings{1820740,
   author = {Beránek, Jaroslav},
   address = {Brno},
   booktitle = {Mathematics, Information Technologies and Applied Sciences 2021 (post-conference proceedings of extended versions of selected papers)},
   edition = {první},
   editor = {Jaromír Baštinec, Miroslav Hrubý},
   keywords = {Length of curve; definite integral; spiral of Archimedes; logarithmic spiral; hyperbolic spiral; Fermat spiral},
   howpublished = {paměťový nosič},
   language = {eng},
   location = {Brno},
   isbn = {978-80-7582-441-7},
   pages = {22-32},
   publisher = {University of Defence in Brno},
   title = {Spirals in mathematics teaching},
   url = {https://mitav.unob.cz/data/Mitav2021.pdf},
   year = {2021}
}

TY  - CONF
ID  - 1820740
AU  - Beránek, Jaroslav
PY  - 2021
TI  - Spirals in mathematics teaching
PB  - University of Defence in Brno
CY  - Brno
SN  - 9788075824417
KW  - Length of curve
KW  - definite integral
KW  - spiral of Archimedes
KW  - logarithmic spiral
KW  - hyperbolic spiral
KW  - Fermat spiral
UR  - https://mitav.unob.cz/data/Mitav2021.pdf
N2  - The article was created as the result of the research oriented at the innovation of the content and forms of teaching Mathematics at universities. The article contains a few topics for motivation in the Mathematics teaching which are closely related to the possibilities of students´ research approach. Firstly, there are described several examples of mathematical spirals including historical remarks, further there are given these spirals´ equations in polar coordinates and in parametric formulations as well. In the conclusion there are derived the formulas for their lengths with the help of the integral calculus.
ER  -

BERÁNEK, Jaroslav. Spirals in mathematics teaching. In Jaromír Baštinec, Miroslav Hrubý. \textit{Mathematics, Information Technologies and Applied Sciences 2021 (post-conference proceedings of extended versions of selected papers)}. první. Brno: University of Defence in Brno, 2021, s.~22-32. ISBN~978-80-7582-441-7.

Přehled o publikaci