On points and vectors in geometry
Matematičeskoe obrazovanie, Tome 82 (2017) no. 2, pp. 27-43.

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A survey on development of abstract notions of vector and affine spaces in geometry.
Keywords: Vector, point, vector space, Euclidean space, vector method for solving problems, coordinate method for solving problems.
Mots-clés : affine space
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V. I. Igoshin. On points and vectors in geometry. Matematičeskoe obrazovanie, Tome 82 (2017) no. 2, pp. 27-43. http://geodesic.mathdoc.fr/item/MO_2017_82_2_a2/

[1] Igoshin V.I., Matematicheskaya logika kak pedagogika matematiki, Izd-vo OOO Izdatelskii tsentr Nauka, Saratov, 2009, 360 pp.

[2] Igoshin V.I., Matematicheskaya logika v obuchenii matematike. Logiko-didakticheskaya podgotovka uchitelya matematiki, Palmarium Academic Publishing, Saarbrüken, Deutschland, 2012, 517 pp.

[3] Igoshin V.I., Desyat lektsii po geometrii, Izd-vo OOO Izdatelskii tsentr Nauka, Saratov, 2010, 176 pp.

[4] Igoshin V.I., Vektornaya algebra, Lektsii po geometrii, Izd-vo OOO Izdatelskii tsentr Nauka, Saratov, 2005, 128 pp.

[5] Igoshin V.I., Analiticheskaya geometriya, Lektsii po geometrii, Izd-vo OOO Izdatelskii tsentr Nauka, Saratov, 2007, 208 pp.

[6] Igoshin V.I., Osnovaniya geometrii, Lektsii po geometrii, Izd-vo OOO Izdatelskii tsentr Nauka, Saratov, 2004, 84 pp.

[7] Mlodzeevskii B.K., Osnovy analiticheskoi geometrii v prostranstve, Normalnye rukovodstva dlya vysshei shkoly, 5, Gosizdat, M., 1929, 186 pp.

[8] Adamov A.A., Sbornik zadach po analiticheskoi geometrii i differentsialnomu ischisleniyu, Normalnye rukovodstva dlya vysshei shkoly, Gosizdat, M., 1923, 420 pp.

[9] Dubnov Ya.S., Vvedenie v analiticheskuyu geometriyu, Posobie dlya samoobrazovaniya, Fizmatgiz, M., 1959, 140 pp.

[10] Boltyanskii V.G., Volovin M.B., Semushin A.D., Vektornoe izlozhenie geometrii, Prosveschenie, M., 1982

[11] Roganovskii N.M., Stolyar A.A., Vektornoe postroenie stereometrii, Narodnaya asveta, Minsk, 1974, 128 pp.

[12] Gilbert D., Osnovaniya geometrii, GITTL, M.-L., 1948, 492 pp.

[13] Gusev V.A., Kolyagin Yu.M., Lukankin G.L., Vektory v shkolnom kurse geometrii, Prosveschenie, M., 1976, 48 pp.

[14] Klopskii V.M., Yagodovskii M.I., Skopets Z.A., “Primenenie vektorov v kurse geometrii IX klassa”, Matematika v shkole, 1975, no. 3, 27–42

[15] Klopskii V.M., Yagodovskii M.I., Skopets Z.A., “Primenenie elementov vektornoi algebry k resheniyu planimetricheskikh zadach”, Matematika v shkole, 1975, no. 6, 26–35

[16] Korikova T.M., “Nekotorye geometricheskie neravenstva i ikh vektornoe reshenie”, Matematika v shkole, 1977, no. 3, 64–67

[17] Khan D.I., “Nekotorye prilozheniya vektornoi algebry k resheniyu zadach”, Matematika v shkole, 1975, no. 4, 70–74

[18] Lopshits A., “Vektornoe reshenie affinnykh zadach”, Kvant, 1979, no. 8, 30–35

[19] Petrova M.A., “Raznye sposoby resheniya izvestnykh zadach”, Matematika v shkole, 2004, no. 8, 14–18

[20] Imranov B,G., “Vychislenie rasstoyanii i velichin uglov s pomoschyu vektorov”, Matematika v shkole, 1991, no. 2, 37–38

[21] Yasinovyi E.A., “Primenenie vektorov”, Matematika v shkole, 1979, no. 3, 71–73

[22] “Zadacha No 526”, Kvant, 1979, no. 8, 42–43

[23] Gotman E., “Zadachi na dokazatelstvo”, Kvant, 1976, no. 7, 21–24

[24] Panarin Ya., “Vychislenie ploschadei”, Kvant, 1976, no. 7, 25–27

[25] Potoskuev E.V., “Vektorno-koordinatnyi metod resheniya stereometricheskikh zadach”, Matematika v shkole, 1995, no. 1, 23–25

[26] Gabovich I., Gornshtein P., “Vooruzhivshis metodom koordinat”, Kvant, 1978, no. 11, 42–47

[27] Shuvalova E., “Koordinatnyi metod”, Kvant, 1977, no. 11, 82–89

[28] Bardushkin V.V., Prokofev A.A., “Obobschayuschee povtorenie temy «Reshenie zadanii S2 koordinatno-vektornym sposobom». Chast 1”, Matematika v shkole, 2012, no. 10, 9–15

[29] Bardushkin V.V., Prokofev A.A., “Obobschayuschee povtorenie temy Reshenie zadanii S2 koordinatno-vektornym sposobom. Chast 2”, Matematika v shkole, 2013, no. 1, 8–18

[30] Golobokova R.V., Pevzner S.L., “Vektory i koordinaty v stereometricheskikh zadachakh”, Matematika v shkole, 1991, no. 5, 43–44

[31] Ionin Yu.I., Nekrasov V.B., “Vychislenie rasstoyanii i uglov”, Kvant, 1987, no. 1, 47–52

[32] Samsonov P.I., “Analiz oshibok vypusknikov na EGE-2012 po matematike. I chast”, Matematika v shkole, 2012, no. 8, 14–22