Improved pixel estimates of
Matematičeskoe obrazovanie, Tome 93 (2020) no. 1, pp. 15-23.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
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V. Yu. Bodryakov; A. A. Bykov. Improved pixel estimates of. Matematičeskoe obrazovanie, Tome 93 (2020) no. 1, pp. 15-23. http://geodesic.mathdoc.fr/item/MO_2020_93_1_a1/

[1] Bodryakov V.Yu., Bykov A.A., “Uluchshaemye pikselnye otsenki mer ploskikh mnozhestv kak metodicheskii podkhod k vvedeniyu ponyatiya «Ploschad figury» v kurse geometrii. Chast 1”, Matematicheskoe obrazovanie, 2019, no. 4(92), 17–29

[2] Atanasyan L.S., Butuzov V.F., Kadomtsev S.B., Poznyak E.G., Yudina I.I., Geometriya. 7–9 klassy, ucheb. dlya obscheobrazovat. Uchrezhdenii, 20, Prosveschenie, M., 2010, 384 . pp.

[3] Bodryakov V.Yu., Bykov A.A., “Uluchshaemye pikselnye IT-otsenki mer ploskikh mnozhestv”, Sostoyanie i perspektivy razvitiya IT-obrazovaniya, sb. dokl. i nauch. st. Vseros. nauch.-prakt. konf., Izd-vo Chuvash. un-ta, Cheboksary, 2019, 158–167, 468 pp.

[4] Aksenova O.V., Bodryakov V.Yu., “Laboratornye raboty po matematike s primeneniem IKT kak instrument formirovaniya issledovatelskikh umenii studentov pedagogicheskogo vuza”, Sb. dokladov i nauchnykh statei Vserossiiskoi nauchno-prakticheskoi konferentsii «Sostoyanie i perspektivy razvitiya IT-obrazovaniya», posvyaschennoi 50-letiyu Chuvashskogo gosudarstvennogo universiteta im. I.N. Ulyanova (Cheboksary, 16–18 noyabrya 2017 g.), Izd-vo Chuvashskogo gos. un-ta, Cheboksary, 2018, 175–181, 520 pp.

[5] Aksenova O.V., Bodryakov V.Yu., “Naturnyi eksperiment s primeneniem sredstv informatsionno-kommunikatsionnykh tekhnologii i mobilnykh ustroistv kak instrument formirovaniya issledovatelskikh umenii studentov”, Vestnik RUDN. Seriya: Informatizatsiya obrazovaniya, 15: 4 (2018), 363–372

[6] Bodryakov V.Yu., “Kognitivno-deyatelnostnyi podkhod v obuchenii matematike”, Kognitivnye issledovaniya v obrazovanii, sb. nauch. st., eds. S.L. Fomenko, N.E. Popova, Ural. gos. ped. un-t, Ekaterinburg, 2019, 101–108, 435 pp. (Elektronnyi resurs)

[7] Gardner G., Struktura razuma: teoriya mnozhestvennogo intellekta, Per. s angl., OOO «I.D. Vilyams», M., 2007, 512 pp.

[8] Kuzovkova A.A., Mamalyga R.F., Bodryakov V.Yu., “Formirovanie poznavatelnogo interesa k matematike u obuchayuschikhsya v klassakh gumanitarno-esteticheskoi napravlennosti”, Matematika v shkole 2018, no. 2, 35–42

[9] Bodryakov V.Yu., Fomina N.G., “Geometricheskaya veroyatnost kak effektivnyi menedzher mezhpredmetnykh svyazei shkolnogo kursa matematiki”, Matematika v shkole, 2010, no. 8, 42–51