employee from 01.10.2008 until now
Russian Federation
Descriptive geometry is the most difficult subject studied by first-year students in technical universities. The paper considers the reasons for poor geometric knowledge among university graduates. It is determined that there are three main objective reasons. 1. Poor geometric training in high school, where they study planimetry and stereometry, but not all the knowledge that future students will need at the university is included for passing the Unified State Exam. Also, in high school, students do not develop the habit of thinking analytically, although when proving geometric theorems, this function has developed greatly. 2. Descriptive geometry has a completely different method, which differs from all the methods of disciplines that are studied at school, is the projection method, which develops spatial imagination. Exactly the method that gives any description in the daily activities of any person and in the work of any engineer. 3. Disadvantages of university textbooks on descriptive geometry. Each section of the textbook on descriptive geometry has been based on a particular geometric image since ancient times: a point, a straight line, a plane, etc. As a result, tasks that could be collected in their own section of the textbook (for example, all positional problems or all metric problems) are scattered throughout the entire body of the textbook. And from this there is an opinion that each of the tasks has its own unique solution algorithm. It is shown that with a systematic approach, all positional problems, as well as all metric ones, are solved, in principle, according to a single algorithm.
geometry, pedagogy, secondary education, higher education, descriptive geometry
1. Beglov I.A. Nachertatel`naya geometriya i inzhenernaya grafika: neobxodimost` izucheniya v shkole i v vuze [Descriptive geometry and engineering graphics: the need to study at school and in high school]. Sbornik trudov Vserossijskoj nauchno-metodicheskoj konferencii po inzhenernoj geometrii i komp`yuternoj grafike. Chast` 1 [Proceedings of the All-Russian Scientific and Methodological Conference on Engineering Geometry and Computer Graphics. - Part 1]. Moscow: MITXT Publ., 2008, pp.32-34. (in Russian)
2. Bubennikov A.V., Gromov M.Ja. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: Vysshaja shkola Publ., 1973. 416 p. (in Russian)
3. Budarin O.S. Nachertatel`naya geometriya Kratkij kurs [Descriptive geometry A short course]. St. Petersburg: Lan` Publ., 2019. 360 p. (in Russian)
4. Budasov B.V. Kaminskij V.P. Stroitel'noe cherchenie [Civil engineering drawing]. Moscow: Strojizdat Publ., 1990. 464 p. (in Russian)
5. Vinnickij I.G. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: Vysshaja shkola Publ., 1975. 280 p. (in Russian)
6. Volkova M.Ju. Egorycheva E.V. Graficheskaja gramotnost' inzhenera kak sposob poluchenija fundamental'nyh professional'nyh znanij [Engineer's Graphic Literacy as a Way of Fundamental Professional Knowledge Obtaining]. Geometrija i grafika: Nauchno-metodicheskij zhurnal [Geometry and graphics. Scientific and methodological journal]. Moscow: INFRA-M Publ., 2013. (in Russian)
7. Voloshin-Chelpan Je.K. Nachertatel'naja geometrija. Inzhenernaja grafika [Descriptive geometry. Engineering graphics]. Moscow: Akademicheskij proekt Publ., 2009. 183 p. (in Russian)
8. Vol'hin K.A., Astahova T.A. Problemy graficheskoj podgotovki studentov tekhnicheskogo universiteta [Problems of graphic preparation of students of a technical university]. Geometriya i grafika [Geometry and Graphics]. 2014, V. 2, I. 3, pp. 25-30. - DOI:https://doi.org/10.12737/6522. (in Russian)
9. Vyshnyepolskiy V.I., Sal´kov, N.A., Tseli i metody obucheniya graficheskim distsiplinam [The aims and methods of teaching drawing]. Geometriya i grafika [Geometry and grachics]. 1970, V. 1, I. 2, pp. 8-9. DOI:https://doi.org/10.12737/777. (in Russian)
10. Glagolev N.A. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: ONTI NKTP SSSR Publ., 1936. 160 p. (in Russian)
11. Gordon V.O., Semencov-Ogievskij M.A. Kurs nachertatel'noj geometrii [A course in descriptive geometry]. Moscow: Nauka Publ., 1977. 268 p. (in Russian)
12. Dobrjakov A.I. Kurs nachertatel'noj geometrii [A course in descriptive geometry]. Moscow: Gos. izdatel'stvo literatury po stroitel'stvu i arhitekture Publ., 1952. 496 p. (in Russian)
13. Ivanov G.S. Kompetentnostnyj podhod k soderzhaniju kursa nachertatel'noj geometrii [Competence approach to the content of the course of descriptive geometry]. Geometrija i grafika [Geometry and graphics]. 2013, V. 1, I. 2, pp. 3-5. DOI:https://doi.org/10.12737/775. (in Russian)
14. Ivanov G.S. Perspektivy nachertatel'noj geometrii kak uchebnoj discipliny [Perspectives of descriptive geometry as an educational discipline]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 1, I. 1, pp. 26-27. DOI:https://doi.org/10.12737/775. (in Russian)
15. Ishenko A.A. K voprosu o neobhodimosti prepodavaniya nachertatel'noj geometrii i grafiki dlya himikov i himikovtekhnologov [To the question of the need for teaching descriptive geometry and graphics for chemists and chemical technologists]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 1, I. 2, pp. 6-7. DOI:https://doi.org/10.12737/776. (in Russian)
16. Klimuhin A.G. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: Strojizdat Publ., 1978. 334 p. (in Russian)
17. Kurs nachertatel'noj geometrii [Course in descriptive geometry]. Kiev: Gos. izd-vo literatury po stroitel'stvu i arhitekture USSR Publ., 1961. 316 p. (in Russian)
18. Koroev Ju.I. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: KNORUS Publ., 2011. 432 p. (in Russian)
19. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: Vysshaja shkola Publ., 1977. 231 p. (in Russian)
20. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: Vysshaja shkola Publ., 1990. 240 p. (in Russian)
21. Kuznecov N.S. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: Vysshaja shkola Publ., 1981. 262 p. (in Russian)
22. Loktev O.V. Kratkij kurs nachertatel'noj geometrii [A short course in descriptive geometry]. Moscow: Vysshaja shkola Publ., 1985. 136 p. (in Russian)
23. Monzh G. Nachertatel`naya geometriya [Descriptive geometry]. L.: Akademii Nauk SSSR Publ., 1947. 292 p. (in Russian)
24. Peklich V.A. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: Izdatel'stvo associacii stroitel'nyh vuzov Publ., 2007. 272 p. (in Russian)
25. Russkevich N.L. Nachertatel'naja geometrija [Descriptive geometry]. Kiev: Vishha shkola Publ., 1978. 312 p. (in Russian)
26. Ry`zhov N.N. Nachertatel`naya geometriya (ponyatiya, ix opredeleniya i poyasneniya) [Descriptive geometry (concepts, their definitions and explanations)]. Moscow, MADI Publ., 1993. 60 p. (in Russian)
27. Rynin N.A. Znachenie nachertatel'noj geometrii i sravnitel'naja ocen-ka glavnejshih ee metodov [The value of descriptive geometry and comparative evaluation of the main methods]. Petrograd: Ju.N. Jerlih Publ., 1907. 96 p. (in Russian)
28. Rynin N.N. Nachertatel'naja geometrija [Descriptive geometry]. L.: Gosstrojizdat Publ., 1939. 448 p. (in Russian)
29. Sal'kov N.A. Amerikanizacija geometricheskogo obrazovanija v Rossii i nachertatel'naja geometrija [The Americanization of geometric education and descriptive geometry]. Geometrija i grafika [Geometry and Graphics]. 2015, V. 3, I. 3, pp. 38-46 DOI:https://doi.org/10.12737/14418. (in Russian)
30. Sal'kov N.A. Geometricheskoe modelirovanie i nachertatel'naja geometrija [Geometric modeling and descriptive geometry]. Geometrija i grafika [Geometry and graphics]. 2016, V. 4, I. 4, pp. 31-61. DOI:https://doi.org/10.12737/22841. (in Russian)
31. Sal'kov N.A. Mesto nachertatel'noj geometrii v sisteme geometricheskogo obrazovaniya tekhnicheskih vuzov [Place of descriptive geometry in the system of geometric education of technical universities]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 3, pp. 53-61. - DOI:https://doi.org/10.12737/21534. (in Russian)
32. Sal'kov N.A. Nachertatel'naja geometrija - baza dlja geometrii analiticheskoj [Descriptive geometry is the basis for analytic geometry]. Geometrija i grafika [Geometry and graphics]. 2016, V. 4, I. 1, pp. 44-54. DOI:https://doi.org/10.12737/18057. (in Russian)
33. Sal'kov N.A. Nachertatel'naya geometriya - baza dlya komp'yuternoy grafiki [escriptive geometry - the basis for computer graphics]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 2, pp. 37-47. - DOI:https://doi.org/10.12737/19832. (in Russian)
34. Sal`kov N.A. Nachertatel`naya geometriya - teoriya izobrazhenij [Descriptive geometry-image theory]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I 4, pp. 41-47. DOI:https://doi.org/10.12737/22842. (in Russian)
35. Salkov N.A. Nachertatel'naja geometrija. Bazovyj kurs [Descriptive geometry: Bazovyj kurs]. Moscow: INFRA-M Publ., 2013. 184 p. (in Russian)
36. Sal`kov N.A. Nachertatel`naya geometriya: zadaniya dlya kursovy`x rabot [Descriptive geometry: assignments for coursework]. Moscow: INFRA-M Publ., 2021. 117 p. (in Russian)
37. Salkov N.A. Nachertatel'naja geometiya do 1917 goda [Descriptive Geometry until 1917]. Geometrija i grafika [Geometry and graphics]. Moscow: INFRA-M Publ., 2013. DOI:https://doi.org/10.12737/780. (in Russian)
38. Sal`kov N.A. Nachertatel`naya geometriya: Konstruirovanie poverxnostej [Descriptive geometry: Construction of surfaces]. Moscow: INFRA-M Publ., 2021. 267 p. (in Russian)
39. Salkov N.A. Nachertatel'naja geometrija. Osnovnoj kurs [Descriptive geometry. The main course]. Moscow: INFRA-M Publ., 2014. 235 p. DOI:https://doi.org/10.12737/764. (in Russian)
40. Sal`kov N.A. Parametricheskaya geometriya v geometricheskom modelirovanii [Parametric geometry in geometric modeling]. Geometriya i grafika [Geometry and graphics]. 2014, V. 2, I 3, pp. 7-13. DOI:https://doi.org/10.12737/6519. (in Russian)
41. Sal`kov N.A. Sbornik zadach po kursu nachertatel`noj geometrii [Collection of problems on the course of descriptive geometry]. Moscow: INFRA-M Publ., 2013. 127 p. (in Russian)
42. Sal`kov N.A. Tak zachem zhe nuzhna nachertatel`naya geometriya (ili otvet g-nu Tunakovu) [So why do we need descriptive geometry (or the answer to Mr. Tunakov)]. Sbornik trudov Vserossijskoj nauchno-metodicheskoj konferencii po inzhenernoj geometrii i komp`yuternoj grafike. Chast` 2 [Proceedings of the All-Russian Scientific and Methodological Conference on Engineering Geometry and Computer Graphics. - Part 2]. Moscow: MITXT Publ., 2008, pp.22-26. (in Russian)
43. Sal`kov N.A. Cherchenie dlya slushatelej podgotovitel`ny`x kursov [Plotting for students of preparatory courses]. Moscow: INFRA-M Publ., 2016. 128 p. (in Russian)
44. Timrot E.S. Nachertatel'naja geometrija [Descriptive geometry]. Moscow: Gos. izdatel'stvo literatury po stroitel'stvu, arhitekture i stroitel'nym materialam Publ., 1962. 280 p. (in Russian)
45. Tikhonov-Bugrov D.E. O nekotoryh problemah graficheskoj podgotovki v tekhnicheskih vuzah (vzglyad iz Sankt-Peterburga) [About some problems of graphic preparation in technical universities (view from St. Petersburg)]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 2, I. 1, pp. 46-53. DOI:https://doi.org/10.12373/3848. (in Russian)
46. Frolov S.A. Nachertatel'naya geometriya [Descriptive geometry]. Moscow, Mashinostroenie Publ., 1978. 240 p. (in Russian)
47. Sobolev N.A. Obshhaya teoriya izobrazhenij [General image theory]. Moscow, Arxitektura-S Publ., 2004. 672 p.(in Russian)
