V. Yu. Bodryakov, A. A. Bykov, “Improved pixel estimates of measures of plane sets as a approach to introducing the concept of «Area of a figure» in geometry course. Part 2”, Math. Ed., 2020, no. 1(93), 15

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Mathematical Education, 2020, Issue 1(93), Pages 15–23 (Mi mo690)

Students and teachers of secondary school

Improved pixel estimates of measures of plane sets as a approach to introducing the concept of «Area of a figure» in geometry course. Part 2

V. Yu. Bodryakov^a, A. A. Bykov^b

^a Urals State Pedagogical University, Ekaterinburg
^b ГАПОУ СО «Екатеринбургский автодорожный колледж», г. Екатеринбург

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Abstract: In the second part of the article, proceeding solely from the established formula for the area of a square of an arbitrary side, the areas of the basic figures of the school planimetry with a broken line border (rectangle, triangle, parallelogram, trapezium) are successively displayed. As a convenient in practical implementation laboratory work in mathematics, accompanying the study of geometric properties of the circle, it is proposed to measure the number “pi” by improving the pixel estimates of the areas of quarters of circles of different radii.

Keywords: measurement of the number $\pi $, laboratory work in mathematics, teaching geometry, area of a figure, statistical method, improved pixel estimate of a flat measure.

Document Type: Popular science or education materials

UDC: 372.851

Language: Russian

Citation: V. Yu. Bodryakov, A. A. Bykov, “Improved pixel estimates of measures of plane sets as a approach to introducing the concept of «Area of a figure» in geometry course. Part 2”, Math. Ed., 2020, no. 1(93), 15–23

Citation in format AMSBIB

\Bibitem{BodByk20}

\by V.~Yu.~Bodryakov, A.~A.~Bykov

\paper Improved pixel estimates of

measures of plane sets as a  approach to introducing the concept of <<Area of a figure>> in geometry course. Part~2

\jour Math. Ed.

\yr 2020

\issue 1(93)

\pages 15--23

\mathnet{http://mi.mathnet.ru/mo690}

Linking options:

https://www.mathnet.ru/eng/mo690

https://www.mathnet.ru/eng/mo/y2020/i1/p15

Cycle of papers

Improved pixel estimates of measures of plane sets as methodological approach to introducing the concept of «area of a figure» in geometry course. Part 1
V. Yu. Bodryakov, A. A. Bykov
Math. Ed., 2019:4(92), 17–29
Improved pixel estimates of measures of plane sets as a approach to introducing the concept of «Area of a figure» in geometry course. Part 2
V. Yu. Bodryakov, A. A. Bykov
Math. Ed., 2020:1(93), 15–23

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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