# DEVELOPMENT OF THEORY AND METHODS OF USE OF INFORMATION AND COMMUNICATION TECHNOLOGIES IN TEACHING MATHEMATICS OF ENGINEERING SPECIALITIES STUDENTS IN THE UNITED STATES

### Abstract

The article deals with the problems of information and communication technologies (ICT) development in teaching mathematics of engineering specialities students in the United States. In the article the nature of trends of convergence of information system in higher technical education and other tendencies in the USA are сharacterized. The main historical stages of development of the theory and methods of ICT use in teaching mathematics of engineering specialities students in the United States are defined. The study of historical sources has been allowed to emphasize six stages, at each stage it is analyzed the use of ICT for teaching mathematics, it is shown the contradictions and the main features of the use of ICT in teaching mathematics of engineering specialities students.### References

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Watson P. G. Using the computer in education: A briefing for school decision makers / Paul G. Watson. — New Jersey : Educational Technology, 1972. — 128 p.

Wavrik J. J. Computers and the Multiplicity of Polynomial Roots / John J. Wavrik // The American Mathematical Monthly : An official journal of the Mathematical Association of America. — 1982. — Vol. 89, No. 1. — Р. 34–36, 45–56.

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**REFERENCES (TRANSLATED AND TRANSLITERATED)**

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All about the IBM 1130 Computing System [online] // IBM1130.org, 2011. — Available from : http://ibm1130.org/ (in English)

Blankenbaker J. The first personal computer: KENBAK-1 computer [online] / John Blankenbaker // KENBAK-1 Computer, 2010. — Available from : http://www.kenbak-1.net/index.htm (inEnglish)

Bores L. D. AGAT: A Soviet Apple II Computer / Leo D. Bores //BYTE : The Small System Journal. — 1984. — Vol. 9, No. 12, November. — P. 134–135. (in English)

Confrey J. High school mathematics development of teacher knowledge and implementation of a problem-based mathematics curriculum using multirepresentational software : Apple classrooms of tomorrow research : Report number 11 / JereConfrey, Susan C. Piliero, Jan M. Rizzuti // Cupertino : Apple Computer, 1990. — 9 р. (in English)

Dalakov G. The Dynabook of Alan Kay [online] / GeorgiDalakov // History of computers, 2013. — Available from : http://history-computer.com/ModernComputer/Personal/Dynabook.html (in English)

Enchin H. Home-computer programs help kids with math / Harvey Enchin // The gazette business. — Montreal. – 1983. —Aprsl 12. — P. F–2. (in English)

Engelbrecht J. Teaching Undergraduate Mathematics on the Internet / Johann Engelbrecht, Ansie Harding // Journal of Online Mathematics and its Applications, 2005. — №(58)2. — Р. 235–276. (in English)

Everybody Counts: A Report to the Nation on the Future of Mathematics Education / Mathematical Sciences Education Board, Board on Mathematical Sciences, Committee on the Mathematical Sciences in the Year 2000, National Research Council. — Washington : National Academy Press, 1989. — 130 p. (in English)

Geometric Supposer: Triangles/64K Apple Ii, Iie, Iic/Disk, Backup, Teacher’s Guide/Quick Reference Cards/Book No 1340-Fs [online]. —— Cincinnati : Sunburst Communications, 1986. – Available from : http://www.amazon.com/Geometric-Supposer-Triangles-Teachers-Reference/dp/9996313344/ (in English)

Greenwald S. В. Computer-assisted explorations in mathematics: pedagogical adaptations across the Atlantic : a report on the development of CATAM at Cambridge University and the Mathematics Project Laboratory at MIT / Suzanne B. Greenwald, Haynes R. Miller // University Collaboration for Innovation: Lessons from the Cambridge-MIT Institute, Sense Publishers. — Massachusetts Institute of Technology, Department of Mathematics, 2007. — Р. 121–131. (in English)

Harvey J. G. Mathematics Testing with Calculators: Ransoming the Hostages / John G. Harvey // Mathematics assessment and evaluation: Imperatives for mathematics educators / Edited by Tomas A. Romberg. – New York : State University of New York, 1992. – P. 139–168. (in English)

Harvey B. A case study: the Lincoln-sudbury regional high school [online] / Brian Harvey // Computer Science Division : EECS at UC Berkeley, 2012. – Available from : http://www.cs.berkeley.edu/~bh/lsrhs.html (in English)

Haven G. IME-86: the only electronic desk calculator thet can grow into a compunrt [online] / Grand Haven // Hope College Department of Mathematics, 1967. – Available from : http://www.math.hope.edu/tanis/History/ime-calculator-purchase.pdf (in English)

Horn J. K. The HP-71B «Math machine» 25 years old [online] / Joseph K. Horn, Richard J. Nelson, Dale Thorn // Hewlett-Packard Development Company, [2007]. — Available from :http://h71028.www7.hp.com/enterprise/downloads/The%20HP-71B%20Math%20Machine%20V2e.pdf (in English)

John J Wavrik [online] / John J. Wavrik // University of California. —Available from : http://math.ucsd.edu/~jwavrik/(in English)

Kernighan B. W. The UNIX programming environment / Brian W. Kernighan, Rob Pike. — Prentice-Hall, 1984. — 357 p.

Molnar A. Computers in Education: A Brief History [online] / Andrew Molnar // THE Journal: Technological Horizons in Education. — 06.01.1997. —Available from :http://thejournal.com/Articles/1997/06/01/Computers-in-Education-A-Brief-History.aspx?Page=3(in English)

Multipoint data communication system with collision detection : US 4063220 A [online] / David R. Boggs, Butler W. Lampson, Robert M. Metcalfe, Charles P. Thacker. — March 31, 1975. —Available from : http://www.google.com/patents/US4063220(in English)

Navarro A. В. Turing Machine Simulator. / Navarro Aaron B. // Computers in mathematics and science teaching, 1981. — v1. — № 2. —P. 25–26. (in English)

Pea R. D. Cognitive technologies for mathematics education / Roy D. Pea //Cognitive science and mathematics education, 1987. — С. 89–122. (in English)

Sinclair N. Understanding and projecting ICT trends in mathematics education / NathalieSinclair, Nicholas Jackiw// Teaching secondary mathematics with ICT / Edited by Sue Johnston-Wilder and David Pimm. — New York : Open University Press, 2005. — P. 235–253. (in English)

Skinner B. F. The technology of teaching / B. F. Skinner. — New York : Appleton-Century-Crofts, 1968. — 271 p. (in English)

Suppes P. Computer-based mathematics instruction : The First Year of the Project : (1 September 1963 to 31 August 1964) [online] / Patrick Suppes. // Bulletin of the International Study Group for Mathematics Learnin, 1965 p. — №3. — Р.7–22. —Available from : http://suppes-corpus.stanford.edu/article.html?id=54-1(in English)

Tanis A. A computer-based laboratory for mathematical statistics and probability [online] / A. Tanis // Computer lab for statistics and probability : Computer Hope. — Available from :http://www.math.hope.edu/tanis/History/ccuc-8%201977.pdf. (in English)

Tanis E An Experimental Approach to the Central Limit Theorem [online] / E. Tanis, Deanna Gross // Annual Spring Meeting of the Michigan Section of the Mathematical Association of America : Hope College Department of Mathematics, 1969. —Available from : http://www.math.hope.edu/tanis/History/clt-deanna-1969-rotated.pdf(in English)

Tanis E. Hope College : Department of Mathematics [online] / Elliot Tanis // Academic departments math. — Available from : http://www.math.hope.edu/tanis/oldpapersgiven.html (in English)

Tanis E. A. Concepts in probability and statistics illustrated with the computer / Elliot A. Tanis // Michigan association of computer users for learning. — 1978. —Vol II. — № 1. — P. 6–17.

Tanis E. A. Laboratory manual for probability and statistical inference / Elliot A. Tanis —Iowa : CONDUIT, 1977. — 88 p. (in English)

Tanis E. A. Theory of Probability and statistics illustrated by the computer [online] / Elliot A. Tanis // GLCA Computing symposium at Wabash University : Hope College Department of Mathematics. — March 7–8. — 1972. – Available from : http://www.math.hope.edu/tanis/History/wabash%201972-rotated.pdf (in English)

The mathematical sciences : Undergraduate education : a report // National research council (U.S.). Panel on undergraduate education in mathematics. — National Academies, 1968. — 113 p. (in English)

This month in ed tech history archives [online] // The Software & Information Industry Association, 2013. . — Available from :http://www.siia.net/index.php?option=com_content&view=article&id=314:this-month-archive&catid=159:education-articles&Itemid=328 (in English)

UNIX BSD information [online] // Computer Hope. – Available from: http://www.computerhope.com/unix/bsd.htm (in English)

Usluel Y. K. A Structural Equation Model for ICT Usage in Higher Education / YaseminKoсakUsluel, PetekAskar, Turgay Bas // Educational Technology & Society, 2008. — № 11 (2). — Р. 262–273. (in English)

Vleck T. V. Dennis M. Ritchie — A. M. Turing Award Winner [online] / Tom Van Vleck // Association for Computing Machinery, 2012. — Available from : http://amturing.acm.org/award_winners/ritchie_1506389.cfm (in English)

Watson P. G. Using the computer in education: A briefing for school decision makers / Paul G. Watson. — New Jersey : Educational Technology, 1972. — 128 p. (in English)

Wavrik J. J. Computers and the Multiplicity of Polynomial Roots / John J. Wavrik // The American Mathematical Monthly : An official journal of the Mathematical Association of America. — 1982. — Vol. 89, No. 1. — Р. 34–36, 45–56. (in English)

World University Rankings 2010-2011 — Times Higher Education [online] // TSL Education Ltd. — London, 2012. — Available from:http://www.timeshighereducation.co.uk/world-university-rankings/2010-11/world-ranking. (in English)

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