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2012, no. 2
SCIENTIFIC REPORTS

Visual imagination and imaginary thinking in the process of mathematics study

T.E. Kozlovtzeva, I.V. Kapranov

pp. 90–9280 RUB

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Abstract

The article deals with the problem of forming in students visual imagination and imaginary thinking, i.e. vital cognitive characteristics needed in mathematics study process. Outlined are instrumental and philosophic aspects of mathematics, that ought to find worthy place in educational process and it’s methodology.

Keywords

  • visual imagination
  • imaginary thinking
  • geometric images
  • variables and derivatives
  • symbol signs

References

  1. Fedorov I.B. Issues of development of engineering education // Alma mater (Higher School Bulletin). — No 5. — 2011. — P. 6 — 11. (In Russian).
  2. Kudryavtsev V.T., Davydov V.V. Milestones and stages of life path // Questions of psychology. — No 4. — 2010. — P. 109 — 128. (In Russian).
  3. M. Kline. Mathematics. The search for truth. — The World. — Moscow, 1988. (In Russian).
  4. I.V. Kapranov To the question of the application of methods of the theory of knowledge to theoretical mechanics // Humanitarian collection No. 2. — ROAT MIIT. — M.: 2009. — P. 38-46. (In Russian).
  5. G. Birkhoff. Mathematics and Psychology. — Publishing house "Soviet Radio". — M., 1977. (In Russian).
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SCIENTIFIC REPORTS