Geodesic
On notions of length, square, and volume for high school
Matematičeskoe obrazovanie, Tome 72 (2014) no. 4, pp. 16-28.

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

The theme "Length, Area, Volume" is presented taking the specific character of High School humanities' students into account.
Keywords: length, area, constructable numbers, integral formulas.
Mots-clés : volume 
@article{MO_2014_72_4_a4,
     author = {V. M. Imaykin},
     title = {On notions of length, square, and volume for high school},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {16--28},
     publisher = {mathdoc},
     volume = {72},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2014_72_4_a4/}
}
TY  - JOUR
AU  - V. M. Imaykin
TI  - On notions of length, square, and volume for high school
JO  - Matematičeskoe obrazovanie
PY  - 2014
SP  - 16
EP  - 28
VL  - 72
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MO_2014_72_4_a4/
LA  - ru
ID  - MO_2014_72_4_a4
ER  - 
%0 Journal Article
%A V. M. Imaykin
%T On notions of length, square, and volume for high school
%J Matematičeskoe obrazovanie
%D 2014
%P 16-28
%V 72
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MO_2014_72_4_a4/
%G ru
%F MO_2014_72_4_a4
V. M. Imaykin. On notions of length, square, and volume for high school. Matematičeskoe obrazovanie, Tome 72 (2014) no. 4, pp. 16-28. http://geodesic.mathdoc.fr/item/MO_2014_72_4_a4/

[1] Arkhimed, Sochineniya, Perevod, vstupitelnaya statya i kommentarii I. N. Veselovskogo. Perevod arabskikh tekstov B. A. Rozenfelda, Gos. izd-vo fiz.-mat. lit-ry (Fizmatgiz), M., 1962, 640 pp.

[2] I. G. Bashmakova, “Differentsialnye metody u Arkhimeda”, Istoriko-matematicheskie issledovaniya, no. 6, GITTL, M., 1953, 609–658

[3] V. N. Dubrovskii, “Ploschad poverkhnosti po Minkovskomu”, Kvant, 1979, no. 4, 33–36

[4] A. N. Zemlyakov, “Tezisy po algebre”, Matematicheskoe obrazovanie, 2001, no. 2(17), 2–23

[5] V. M. Imaikin, “Iz opyta izucheniya elementov teorii grupp v neprofilnykh starshikh klassakh srednei shkoly”, Matematicheskoe obrazovanie, 2009, no. 3(51), 17–26

[6] V. V. Prasolov, Tri klassicheskie zadachi na postroenie. Udvoenie trisektsiya ugla, kvadratura kruga, Populyarnye lektsii po matematike, 62, Nauka, M., 1992, 80 pp.