THE CONCEPT OF THE EDUCATIONAL COMPUTER MATHEMATICS SYSTEM AND EXAMPLES OF ITS IMPLEMENTATION
DOI:
https://doi.org/10.14308/ite000508Keywords:
educational mathematics computer system, automation of development, mathematical methods, educational softwareAbstract
The article deals with the educational computer mathematics system, based in Kherson State University and resulted in more than 8 software tools to orders of the Ministry of Education,Science, Youth and Sports of Ukraine. The exact and natural sciences are notable among all disciplines both in secondary schools and universities. They form the fundamental scientific knowledge, based on precise mathematical models and methods. The educational process for these courses should include not only lectures and seminars, but active forms of studying as well:practical classes, laboratory work, practical training, etc. The enumerated peculiarities determine specific intellectual and architectural properties of information technologies, developed to be used in the educational process of these disciplines. Whereas, in terms of technologies used in the implementation of the functionality of software, they are actually the educational computer algebra system. Thus the algebraic programming system APS developed in the Institute of Cybernetics of the National Academy of Sciences of Ukraine led by Academician O.A. Letychevskyi in the 80 years of the twentieth century is especially important for their development.
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References
<en>
1. Lvov M. Discovery of invariant Equalities in Programs over Data fields /A. Letichevsky, M. Lvov // Applicable Algebra in Engineering, Communication and Computing. – 1993. – #4. – R. 21–29.
2. Lvov M. Tools for solving problems in the scope of algebraic programming. / J.Kapitonova, A.Letichevsky, M. Lvov, V. Volkov // Lecture Notes in Computer Sciences. – # 958. – 1995. – R. 31–46.
3. Spivakovsky A. E. University as a corporation which serves educational interests/ Spivakovsky, A., Alferova, L., Alferov, E // Communications in Computer and Information Science 347 CCIS , pp. 60. 2013
4. Kravtsov H. Knowledge Control Model of Distance Learning System on IMS Standard / H. Kravtsov, D. Kravtsov // Innovative Techniques in Instruction Technology, E-learning, E-assessment, and Education. – Springer, 2008. – P. 195 – 198.
5. SCORM (2003). Sharable Content Object Reference Model (SCORM), Version 1.3, U.S. Advanced Distributed Learning Initiative. [Elektronniy resurs]: Rezhim dostupu: http://www.adlnet.org/. – Nazva z ekranu.
6. Lvov M. Discovery of invariant Equalities in Programs over Data fields /A. Letichevsky, M. Lvov // Applicable Algebra in Engineering, Communication and Computing. – 1993. – # 4. – R. 21–29.
7. Lvov M. Tools for solving problems in the scope of algebraic programming. / J.Kapitonova, A.Letichevsky, M. Lvov, V. Volkov // Lecture Notes in Computer Sciences. – # 958. – 1995. – R. 31–46.
8. Lvov M. Osnovnyie printsipyi postroeniya pedagogicheskih programmnyih sredstv podderzhki prakticheskih zanyatiy / M.Lvov // Upravlyayuschie sistemyi i mashinyi. – 2006. – # 6. –
S. 70–75.
9. Lvov M. Austrian-Ukrainian Project CENREC as Example of Information Support of Activity of International Scientific Community. /M. Lvov, E. Kartashova // InformatsIynI tehnologIYi v osvItI: Zb. naukovih prats / Herson: Vid. HDU. – # 3. – 2009. S. 57–63.
10. Bradley N. The XML companion. [2-d Edition]. – London, New York: Addson Wesley Harlow, 2000. – 566 p.
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12. Huet G. Equations and rewrite rules: A surway / G Huet, D. Oppen // In V.Book, ed. Formal Language Theory: Perspectives and Open Problems// New York: Academic Press, 1980. –
P. 349–405.
13. Dari K. PHP i MySQL: sozdanie internet-magazina / Dari K., Balanesku E. – [ 2-e izd.]. – Izd.dom Vilyams, 2010. – 640 s.: il.
14. Yakobson A. Unifitsirovannyiy protsess razrabotki programmnogo obespecheniya / Yakobson A., Buch G., Rambo Dzh. – SPb.: Piter, 2002. – 496 s.: il.
15. Peschanenko V.S. Rozshirennya standartnih modulIv sistemi algebraYichnogo programuvannya APS dlya vikoristannya u sistemah navchalnogo priznachennya / V.S. Peschanenko // Naukoviy chasopis NPU ImenI M.P. Dragomanova: zb. nauk.prats.- K.:NPU Im. M.P. Dragomanova, 2005. – # 3 (10). – C. 206–215. – (SerIya «Komp’yuterno-orIEntovanI sistemi navchannya»).
</en>
<uk>
1. Lvov M. Discovery of invariant Equalities in Programs over Data fields /A. Letichevsky, M. Lvov // Applicable Algebra in Engineering, Communication and Computing. – 1993. – №4. – Р. 21–29.
2. Lvov M. Tools for solving problems in the scope of algebraic programming. / J.Kapitonova, A.Letichevsky, M. Lvov, V. Volkov // Lecture Notes in Computer Sciences. – № 958. – 1995. – Р. 31–46.
3. Spivakovsky A. E. University as a corporation which serves educational interests/ Spivakovsky, A., Alferova, L., Alferov, E // Communications in Computer and Information Science 347 CCIS , pp. 60. 2013
4. Kravtsov H. Knowledge Control Model of Distance Learning System on IMS Standard / H. Kravtsov, D. Kravtsov // Innovative Techniques in Instruction Technology, E-learning, E-assessment, and Education. – Springer, 2008. – P. 195 – 198.
5. SCORM (2003). Sharable Content Object Reference Model (SCORM), Version 1.3, U.S. Advanced Distributed Learning Initiative. [Електронний ресурс]: Режим доступу: http://www.adlnet.org/. – Назва з екрану.
6. Lvov M. Discovery of invariant Equalities in Programs over Data fields /A. Letichevsky, M. Lvov // Applicable Algebra in Engineering, Communication and Computing. – 1993. – № 4. – Р. 21–29.
7. Lvov M. Tools for solving problems in the scope of algebraic programming. / J.Kapitonova, A.Letichevsky, M. Lvov, V. Volkov // Lecture Notes in Computer Sciences. – № 958. – 1995. – Р. 31–46.
8. Львов М. Основные принципы построения педагогических программных средств поддержки практических занятий / М.Львов // Управляющие системы и машины. – 2006. – № 6. –
С. 70–75.
9. Lvov M. Austrian-Ukrainian Project CENREC as Example of Information Support of Activity of International Scientific Community. /M. Lvov, E. Kartashova // Інформаційні технології в освіті: Зб. наукових праць / Херсон: Вид. ХДУ. – № 3. – 2009. С. 57–63.
10. Bradley N. The XML companion. [2-d Edition]. – London, New York: Addson Wesley Harlow, 2000. – 566 p.
11. Пол А. Объектно-ориентированное программирование на С++ / Пол А. – [2-е изд.].– С.-Пб.; М. «Невский диалект»–изд-во «БИНОМ», 1999.– 462 с.:ил.
12. Huet G. Equations and rewrite rules: A surway / G Huet, D. Oppen // In V.Book, ed. Formal Language Theory: Perspectives and Open Problems// New York: Academic Press, 1980. –
P. 349–405.
13. Дари К. PHP и MySQL: создание интернет-магазина / Дари К., Баланеску Э. – [ 2-е изд.]. – Изд.дом Вильямс, 2010. – 640 с.: ил.
14. Якобсон А. Унифицированный процесс разработки программного обеспечения / Якобсон А., Буч Г., Рамбо Дж. – СПб.: Питер, 2002. – 496 с.: ил.
15. Песчаненко В.С. Розширення стандартних модулів системи алгебраїчного програмування APS для використання у системах навчального призначення / В.С. Песчаненко // Науковий часопис НПУ імені М.П. Драгоманова: зб. наук.праць.- К.:НПУ ім. М.П. Драгоманова, 2005. – № 3 (10). – C. 206–215. – (Серія «Комп’ютерно-орієнтовані системи навчання»).
</uk>
1. Lvov M. Discovery of invariant Equalities in Programs over Data fields /A. Letichevsky, M. Lvov // Applicable Algebra in Engineering, Communication and Computing. – 1993. – #4. – R. 21–29.
2. Lvov M. Tools for solving problems in the scope of algebraic programming. / J.Kapitonova, A.Letichevsky, M. Lvov, V. Volkov // Lecture Notes in Computer Sciences. – # 958. – 1995. – R. 31–46.
3. Spivakovsky A. E. University as a corporation which serves educational interests/ Spivakovsky, A., Alferova, L., Alferov, E // Communications in Computer and Information Science 347 CCIS , pp. 60. 2013
4. Kravtsov H. Knowledge Control Model of Distance Learning System on IMS Standard / H. Kravtsov, D. Kravtsov // Innovative Techniques in Instruction Technology, E-learning, E-assessment, and Education. – Springer, 2008. – P. 195 – 198.
5. SCORM (2003). Sharable Content Object Reference Model (SCORM), Version 1.3, U.S. Advanced Distributed Learning Initiative. [Elektronniy resurs]: Rezhim dostupu: http://www.adlnet.org/. – Nazva z ekranu.
6. Lvov M. Discovery of invariant Equalities in Programs over Data fields /A. Letichevsky, M. Lvov // Applicable Algebra in Engineering, Communication and Computing. – 1993. – # 4. – R. 21–29.
7. Lvov M. Tools for solving problems in the scope of algebraic programming. / J.Kapitonova, A.Letichevsky, M. Lvov, V. Volkov // Lecture Notes in Computer Sciences. – # 958. – 1995. – R. 31–46.
8. Lvov M. Osnovnyie printsipyi postroeniya pedagogicheskih programmnyih sredstv podderzhki prakticheskih zanyatiy / M.Lvov // Upravlyayuschie sistemyi i mashinyi. – 2006. – # 6. –
S. 70–75.
9. Lvov M. Austrian-Ukrainian Project CENREC as Example of Information Support of Activity of International Scientific Community. /M. Lvov, E. Kartashova // InformatsIynI tehnologIYi v osvItI: Zb. naukovih prats / Herson: Vid. HDU. – # 3. – 2009. S. 57–63.
10. Bradley N. The XML companion. [2-d Edition]. – London, New York: Addson Wesley Harlow, 2000. – 566 p.
11. Pol A. Ob'ektno-orientirovannoe programmirovanie na S / Pol A. – [2-e izd.].– S.-Pb.; M. «Nevskiy dialekt»–izd-vo «BINOM», 1999.– 462 s.:il.
12. Huet G. Equations and rewrite rules: A surway / G Huet, D. Oppen // In V.Book, ed. Formal Language Theory: Perspectives and Open Problems// New York: Academic Press, 1980. –
P. 349–405.
13. Dari K. PHP i MySQL: sozdanie internet-magazina / Dari K., Balanesku E. – [ 2-e izd.]. – Izd.dom Vilyams, 2010. – 640 s.: il.
14. Yakobson A. Unifitsirovannyiy protsess razrabotki programmnogo obespecheniya / Yakobson A., Buch G., Rambo Dzh. – SPb.: Piter, 2002. – 496 s.: il.
15. Peschanenko V.S. Rozshirennya standartnih modulIv sistemi algebraYichnogo programuvannya APS dlya vikoristannya u sistemah navchalnogo priznachennya / V.S. Peschanenko // Naukoviy chasopis NPU ImenI M.P. Dragomanova: zb. nauk.prats.- K.:NPU Im. M.P. Dragomanova, 2005. – # 3 (10). – C. 206–215. – (SerIya «Komp’yuterno-orIEntovanI sistemi navchannya»).
</en>
<uk>
1. Lvov M. Discovery of invariant Equalities in Programs over Data fields /A. Letichevsky, M. Lvov // Applicable Algebra in Engineering, Communication and Computing. – 1993. – №4. – Р. 21–29.
2. Lvov M. Tools for solving problems in the scope of algebraic programming. / J.Kapitonova, A.Letichevsky, M. Lvov, V. Volkov // Lecture Notes in Computer Sciences. – № 958. – 1995. – Р. 31–46.
3. Spivakovsky A. E. University as a corporation which serves educational interests/ Spivakovsky, A., Alferova, L., Alferov, E // Communications in Computer and Information Science 347 CCIS , pp. 60. 2013
4. Kravtsov H. Knowledge Control Model of Distance Learning System on IMS Standard / H. Kravtsov, D. Kravtsov // Innovative Techniques in Instruction Technology, E-learning, E-assessment, and Education. – Springer, 2008. – P. 195 – 198.
5. SCORM (2003). Sharable Content Object Reference Model (SCORM), Version 1.3, U.S. Advanced Distributed Learning Initiative. [Електронний ресурс]: Режим доступу: http://www.adlnet.org/. – Назва з екрану.
6. Lvov M. Discovery of invariant Equalities in Programs over Data fields /A. Letichevsky, M. Lvov // Applicable Algebra in Engineering, Communication and Computing. – 1993. – № 4. – Р. 21–29.
7. Lvov M. Tools for solving problems in the scope of algebraic programming. / J.Kapitonova, A.Letichevsky, M. Lvov, V. Volkov // Lecture Notes in Computer Sciences. – № 958. – 1995. – Р. 31–46.
8. Львов М. Основные принципы построения педагогических программных средств поддержки практических занятий / М.Львов // Управляющие системы и машины. – 2006. – № 6. –
С. 70–75.
9. Lvov M. Austrian-Ukrainian Project CENREC as Example of Information Support of Activity of International Scientific Community. /M. Lvov, E. Kartashova // Інформаційні технології в освіті: Зб. наукових праць / Херсон: Вид. ХДУ. – № 3. – 2009. С. 57–63.
10. Bradley N. The XML companion. [2-d Edition]. – London, New York: Addson Wesley Harlow, 2000. – 566 p.
11. Пол А. Объектно-ориентированное программирование на С++ / Пол А. – [2-е изд.].– С.-Пб.; М. «Невский диалект»–изд-во «БИНОМ», 1999.– 462 с.:ил.
12. Huet G. Equations and rewrite rules: A surway / G Huet, D. Oppen // In V.Book, ed. Formal Language Theory: Perspectives and Open Problems// New York: Academic Press, 1980. –
P. 349–405.
13. Дари К. PHP и MySQL: создание интернет-магазина / Дари К., Баланеску Э. – [ 2-е изд.]. – Изд.дом Вильямс, 2010. – 640 с.: ил.
14. Якобсон А. Унифицированный процесс разработки программного обеспечения / Якобсон А., Буч Г., Рамбо Дж. – СПб.: Питер, 2002. – 496 с.: ил.
15. Песчаненко В.С. Розширення стандартних модулів системи алгебраїчного програмування APS для використання у системах навчального призначення / В.С. Песчаненко // Науковий часопис НПУ імені М.П. Драгоманова: зб. наук.праць.- К.:НПУ ім. М.П. Драгоманова, 2005. – № 3 (10). – C. 206–215. – (Серія «Комп’ютерно-орієнтовані системи навчання»).
</uk>
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Published
14.04.2015
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Lvov, M., & Vinnyk, M. (2015). THE CONCEPT OF THE EDUCATIONAL COMPUTER MATHEMATICS SYSTEM AND EXAMPLES OF ITS IMPLEMENTATION. Journal of Information Technologies in Education (ITE), (21), 025–036. https://doi.org/10.14308/ite000508
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