Geodesic
Measuring of line segments, coordinate
Matematičeskoe obrazovanie, Tome 70 (2014) no. 2, pp. 36-55.

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

A rigorous construction of one-to-one correspondence between real numbers and points on a straight line is given. On this basis, the geometric approach to obtaining the absolute value properties is developed.
Keywords: one-to-one correspondence of real numbers and the points on the line, the coordinate axis, the absolute value of number, properties of absolute value. 
@article{MO_2014_70_2_a3,
     author = {M. Morozkina and V. V. Tsukerman},
     title = {Measuring of line segments, coordinate},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {36--55},
     publisher = {mathdoc},
     volume = {70},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2014_70_2_a3/}
}
TY  - JOUR
AU  - M. Morozkina
AU  - V. V. Tsukerman
TI  - Measuring of line segments, coordinate
JO  - Matematičeskoe obrazovanie
PY  - 2014
SP  - 36
EP  - 55
VL  - 70
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MO_2014_70_2_a3/
LA  - ru
ID  - MO_2014_70_2_a3
ER  - 
%0 Journal Article
%A M. Morozkina
%A V. V. Tsukerman
%T Measuring of line segments, coordinate
%J Matematičeskoe obrazovanie
%D 2014
%P 36-55
%V 70
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MO_2014_70_2_a3/
%G ru
%F MO_2014_70_2_a3
M. Morozkina; V. V. Tsukerman. Measuring of line segments, coordinate. Matematičeskoe obrazovanie, Tome 70 (2014) no. 2, pp. 36-55. http://geodesic.mathdoc.fr/item/MO_2014_70_2_a3/

[1] N. Ya. Vilenkin, O. S. Ivashev-Musatov, S. I Shvartsburd., Algebra i matematicheskii analiz. 10 kl., ucheb. dlya uglubl. izuch. matematiki v obscheobrazovat. uchrezhdeniyakh, 13 izdanie, M., 2006

[2] A. A. Dadayan, Matematika, Uchebnik, 2, M., 2007

[3] Ya. S. Dubnov, Izmerenie otrezkov, M., 1962

[4] A. N. Kolmogorov, A. M. Abramov, Yu. P. Dudnitsyn i dr., Algebra i nachala matematicheskogo analiza, ucheb. dlya 10–11 kl. obscheobrazovat. uchrezhdenii, 20, M., 2011

[5] A. G. Mordkovich, P. V. Semenov, Algebra i nachala matematicheskogo analiza 10 klass, V 2 ch., v. 2, Uchebnik dlya uchaschikhsya obscheobrazovatelnykh uchrezhdenii (profilnyi uroven), M., 2009

[6] A. G. Mordkovich, A. S. Solodovnikov, Matematicheskii analiz, Ucheb. dlya tekhnikumov, M., 1990

[7] S. M. Nikolskii, M. K. Potapov, N. N. Reshetnikov i dr., Algebra i nachala matematicheskogo analiza. 10 klass., ucheb. dlya obscheobrazovat. uchrezhdenii: bazovyi i profil. urovni, 8, M., 2009

[8] V. V. Tsukerman, Deistvitelnye chisla i osnovnye elementarnye funktsii, M., 2010

[9] V. V. Tsukerman, “K voprosu o professionalnoi kompetentnosti uchitelya matematiki”, Matematika (Pervoe sentyabrya), 2012, no. 1

[10] M. I. Shabunin, A. A. Prokofev, Matematika. Algebra. Nachala matematicheskogo analiza. Profilnyi uroven, uchebnik dlya 10 klassa, M., 2007