Karp, A. (2010). Reforms and counter-reforms: schools between 1917 and the 1950s.
Skopets). Moscow: Prosveschenie.
March 9, 2011
15:1
9in x 6in
Russian Mathematics Education: Programs and Practices
b1073-ch03
On the Teaching of GeometryGeometry in Russia
127
Kolmogorov, A. N. (1966). Ob uchebnikakh geometrii na 1966/67 uchebnyi god
[On the geometry textbooks for the 1966–67 school year]. Matematika v shkole,
3, 26–30.
Kolmogorov, A. N. (1967). Novye programmy i nekotorye osnovnye usovershenstvo-
vaniya kursa matematiki v sredney shkole [New programs and some fundamental
improvements for the secondary school course in mathematics]. Matematika v
shkole,
2, 4–13.
Kolmogorov, A. N. (1968). K novym programmam po matematike [Toward new
programs in mathematics]. Matematika v shkole, 2, 21–22.
Kolmogorov, A. N. (1971). O sisteme osnovnykh ponyatii i oboznachenii dlya
shkol’nogo kursa matematiki [On the system of fundamental concepts and
notations for the school course in mathematics]. Matematika v shkole, 2, 17.
Kolmogorov, A. N. et al. (1972). Geometriya 6 [Geometry 6]. Moscow: Prosveschenie.
Kolmogorov, A. N., Semenovich, A. F., and Cherkasov, R. S. (1979). Geometriya 6–8
[Geometry 6–8]. Moscow: Prosveschenie.
Kolmogorov, A. N. (1983). Ob uchebnom posobii “Geometriya 6–10” A. V.
Pogorelova [On the teaching manual Geometry 6–10 by A. V. Pogorelov].
Matematika v shkole, 2, 45–46.
Kolmogorov, A. N. (1984). Zamechaniya o ponyatii mnozhestva v shkol’nom
kurse matematiki [Remarks on the concept of the set in the school course in
mathematics]. Matematika v shkole, 1, 52–53.
Konkurs uchebnikov matematiki [Competition for mathematics textbooks] (1988).
Matematika v shkole, 5, 48–50.
Nikitin, N. N. (1961). Geometriya 6–8 [Geometry 6–8]. Moscow: Prosveschenie.
Pogorelov, A. V. (1974). Elementarnaya geometriya [Elementary Geometry]. Moscow:
Nauka.
Pogorelov, A. V. (2004a).
Geometriya 7–9 [
Geometry 7–9]. Moscow: Prosveschenie.
Pogorelov, A. V. (2004b). Geometriya 10–11 [Geometry 10–11]. Moscow:
Prosveschenie.
Polya, G. (1973). How to Solve It. Princeton University Press.
Polya, G. (1981). Mathematical Discovery. New York: John Wiley and Sons.
Polya, G. (1954). Mathematics and Plausible Reasoning: Vol. 1. Introduction and
Analogy in Mathematics; Vol. 2.
Patterns of Plausible Inference. Princeton Univer-
sity Press.
Proekt programm po matematike [Plan of programs in mathematics] (1979). Matem-
atika v shkole, 2, 7–12.
Sharygin, I. F. (1982). Zadachi po geometrii (Planimetriya) [Problems in Geometry
(Plane Geometry)]. Moscow: Nauka.
Sharygin, I. F. (1984). Zadachi po geometrii (Stereometriya). [Problems in Geometry
(3-dimensional geometry)]. Moscow: Nauka.
Sharygin, I. F., and Erganzhieva, L. N. (1995). Naglyadnaya geometriya [Visual
Geometry]. Moscow: Miros.
Sharygin, I. F. (1997). Geometriya 7–9 [Geometry 7–9]. Moscow: Drofa.
Sharygin, I. F. (1999). Geometriya 10–11 [Geometry 10–11]. Moscow: Drofa.
March 9, 2011
15:1
9in x 6in
Russian Mathematics Education: Programs and Practices
b1073-ch03
128
Russian Mathematics Education: Programs and Practices
Sharygin, I. F. (2004). Nuzhna li shkole XXI veka geometriya? [Do twenty-first century
schools need geometry?]. Matematika v shkole, 4, 72–79.
Skanavi, M. I. (Ed.) (2006). Sbornik zadach po matematike dlya postupaiuschikh
v VUZY [
The Problem Book in Mathematics for College Applicants]. Moscow:
ONIKS Mir i Obrazovanie.
Smirnova, I. M., and Smirnov, V. A. (2001a). Geometriya 7–9 [Geometry 7–9]. Moscow:
Prosveschenie.
Smirnova, I. M., and Smirnov, V. A. (2001b). Geometriya 10–11 [Geometry 10–11].
Moscow: Prosveschenie.
Spinoza, B. (1997). Ethic: Demonstrated in Geometrical Order and Divided into Five
Parts. Montana: Kessinger.
Standards (2009). Standarty vtorogo pokoleniya. Primernye programmy osnovnogo
obschego obrazovaniya. Matematika [
Second-Generation Standards. Model Programs
for Basic General Education. Mathematics]. Moscow: Prosveschenie.
Standards (2004a). Standart obschego obrazovaniya po matematike [Standards of
general education in mathematics]. Matematika v shkole, 4, 9–16.
Standards (2004b). Standart osnovnogo obschego obrazovaniya po matematike
[Standards of basic general education in mathematics]. Matematika v shkole, 4,
4–9.
Vygotsky, L. (1986).
Thought and language. MIT Press.
Werner, A. L. (2002). Rabota A. D. Alexandrova nad uchebnikami geometrii [A. D.
Alexandrov’s work on geometry textbooks]. In: G. M. Idlis and O. A. Ladyzhen-
skaya (Eds.), Akademik Alexander Danilovich Alexandrov. Vospominaniya. Pub-
likatsii. Materialy (pp. 162–174). Moscow: Nauka.
Werner, A. L., Ryzhik, V. I., and Khodot, T. G. (1999). Geometriya 7 [Geometry 7].
Moscow: Prosveschenie.
Werner, A. L., Ryzhik, V. I., and Khodot, T. G. (2001a). Geometriya 8 [Geometry 8].
Moscow: Prosveschenie.
Werner, A. L., Ryzhik, V. I., and Khodot, T. G. (2001b). Geometriya 9 [Geometry 9].
Moscow: Prosveschenie.