Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems

Nasriddin Shamsiddinov

doi:doi:10.11648/j.ajeit.20220602.13

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Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems

Nasriddin Shamsiddinov

Published in American Journal of Education and Information Technology (Volume 6, Issue 2)

Received: 18 July 2022 Accepted: 25 August 2022 Published: 27 September 2022

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Abstract

Geometrical thinking is concerned with looking at not individual spatial objects, but whole classes of these objects grouped by one or more characteristics. Geometry itself as a science has a millennial history. As a scientific direction, it involves the study of logical connections between concepts with the help of Central consciousness intuition, that is, based on spatial imagination. Geometrical thinking is a very high level of thinking of this abstraction, and therefore it is a combination of spatial thinking, which implies logical thinking, aimed at working with spatial images and establishing the appropriate relationship between these images. The skill of studying geometry is to distinguish different geometric shapes from each other and know their important properties, the relationship between individual elements, draw clear drawings of a simple geometrical state, understand it and call the corresponding conclusions in their imagination on this drawing, solve the problems of constructing and calculating lengths, squares, volumes and their parts, dimensions of the elements, as well as The article gives some recommendations on the development of mathematical thinking, creative compensation of students on solving problems on the subject of geometry.

Published in	American Journal of Education and Information Technology (Volume 6, Issue 2)
DOI	10.11648/j.ajeit.20220602.13
Page(s)	81-84
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

Thinking, Contemplation, Space, Forms, Figures, Triangle, Surface, Ratio

References

[1]	L. M. Fridman Ye. N. Tureskiy. “Kak nauchitsya reshat zadachi”, Moskva «Prosveshenie», 1989.
[2]	O. Karimiy. Planimetriyadan hisoblashga va isbotlashga doir tanlangan masalalar. “O'qituvchi”. Toshkent-1955 y.
[3]	D. Xusanov, N. B. Shamsiddinov “Yoshlarning mustaqil ijodiy fikrlash faoliyatini rivojlantirishda geometrik masalalarning o'rni”. “Halq ta'limi” ilmiy-metodik jurnal. 2020 yil. 5-son.
[4]	D. Xusanov, N. B. Shamsiddinov “Geometrik masalani turli yechish usullari yordamida o'quvchilarning ijodiy fikrlash faoliyatini rivojlantirish”. “Halq ta'limi” ilmiy-metodik jurnal. 2022 yil. 3-son.
[5]	J. Adamar Issledovanie psixologii prosessa izobreteniya v oblasti matematiki. M., 1970.
[6]	V. Tixomirov - Andrey Nikolaevich Kolmogorov//Kvant.- 1993.- № 3/4.-S 3-10.
[7]	N. V. Agapova Perspektivi razvitiya novix texnologiy obucheniya. – M.: TK Velbi, 2005. – 247 s.
[8]	Mario Lucentini Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems. Germany, 2012.
[9]	J. Husanov, N. Shamsiddinov, B. Quvonov, Geometriya fanidan uslubiy ishlanmalar tayyorlashda axborot kommunikatsiya texnologiyalaridan foydalanish samaradorligi, Xalq ta'limi ilmiy-metodik jurnal. 2021 yil 6-son. 33-36 bet.
[10]	J. Husanov, N. Shamsiddinov, On the role average values in solving geometric extreme. International journal on integrated edication. vol. 6. 2022.
[11]	D. M. Makhmudova On the role of problem tasks in the development of independent analytical and creative thinking of students. American journal of scientific and educational research. 2014.-№1 (4).-p. 325-330.
[12]	J. Husanov, N. Shamsiddinov. Geometrik masalani turli yechish usullari yordamida o‘quvchilarning ijodiy fikrlash faoliyatini rivojlantirish Xalq ta'limi ilmiy-metodik jurnal. 2022 yil 3-son. 25-32 bet.
[13]	N. Shamsiddinov. The Effectiveness of Information and Communication Technology in Finding the Distance Between Straight Lines Non-Intersecting in Space. International Journal of Mathematics Trends and Technology. Volume-68 Issue-6. 2022.

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APA Style

Nasriddin Shamsiddinov. (2022). Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems. American Journal of Education and Information Technology, 6(2), 81-84. https://doi.org/10.11648/j.ajeit.20220602.13

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ACS Style

Nasriddin Shamsiddinov. Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems. Am. J. Educ. Inf. Technol. 2022, 6(2), 81-84. doi: 10.11648/j.ajeit.20220602.13

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AMA Style

Nasriddin Shamsiddinov. Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems. Am J Educ Inf Technol. 2022;6(2):81-84. doi: 10.11648/j.ajeit.20220602.13

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@article{10.11648/j.ajeit.20220602.13,
  author = {Nasriddin Shamsiddinov},
  title = {Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems},
  journal = {American Journal of Education and Information Technology},
  volume = {6},
  number = {2},
  pages = {81-84},
  doi = {10.11648/j.ajeit.20220602.13},
  url = {https://doi.org/10.11648/j.ajeit.20220602.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajeit.20220602.13},
  abstract = {Geometrical thinking is concerned with looking at not individual spatial objects, but whole classes of these objects grouped by one or more characteristics. Geometry itself as a science has a millennial history. As a scientific direction, it involves the study of logical connections between concepts with the help of Central consciousness intuition, that is, based on spatial imagination. Geometrical thinking is a very high level of thinking of this abstraction, and therefore it is a combination of spatial thinking, which implies logical thinking, aimed at working with spatial images and establishing the appropriate relationship between these images. The skill of studying geometry is to distinguish different geometric shapes from each other and know their important properties, the relationship between individual elements, draw clear drawings of a simple geometrical state, understand it and call the corresponding conclusions in their imagination on this drawing, solve the problems of constructing and calculating lengths, squares, volumes and their parts, dimensions of the elements, as well as The article gives some recommendations on the development of mathematical thinking, creative compensation of students on solving problems on the subject of geometry.},
 year = {2022}
}

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TY  - JOUR
T1  - Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems
AU  - Nasriddin Shamsiddinov
Y1  - 2022/09/27
PY  - 2022
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T2  - American Journal of Education and Information Technology
JF  - American Journal of Education and Information Technology
JO  - American Journal of Education and Information Technology
SP  - 81
EP  - 84
PB  - Science Publishing Group
SN  - 2994-712X
UR  - https://doi.org/10.11648/j.ajeit.20220602.13
AB  - Geometrical thinking is concerned with looking at not individual spatial objects, but whole classes of these objects grouped by one or more characteristics. Geometry itself as a science has a millennial history. As a scientific direction, it involves the study of logical connections between concepts with the help of Central consciousness intuition, that is, based on spatial imagination. Geometrical thinking is a very high level of thinking of this abstraction, and therefore it is a combination of spatial thinking, which implies logical thinking, aimed at working with spatial images and establishing the appropriate relationship between these images. The skill of studying geometry is to distinguish different geometric shapes from each other and know their important properties, the relationship between individual elements, draw clear drawings of a simple geometrical state, understand it and call the corresponding conclusions in their imagination on this drawing, solve the problems of constructing and calculating lengths, squares, volumes and their parts, dimensions of the elements, as well as The article gives some recommendations on the development of mathematical thinking, creative compensation of students on solving problems on the subject of geometry.
VL  - 6
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Author Information

Nasriddin Shamsiddinov

Academic Lyceum, Tashkent State Technical University named after Islam Karimov, Tashkent City, Republic of Uzbekistan

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APA Style

Nasriddin Shamsiddinov. (2022). Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems. American Journal of Education and Information Technology, 6(2), 81-84. https://doi.org/10.11648/j.ajeit.20220602.13

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ACS Style

Nasriddin Shamsiddinov. Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems. Am. J. Educ. Inf. Technol. 2022, 6(2), 81-84. doi: 10.11648/j.ajeit.20220602.13

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AMA Style

Nasriddin Shamsiddinov. Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems. Am J Educ Inf Technol. 2022;6(2):81-84. doi: 10.11648/j.ajeit.20220602.13

Copy | Download

@article{10.11648/j.ajeit.20220602.13,
  author = {Nasriddin Shamsiddinov},
  title = {Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems},
  journal = {American Journal of Education and Information Technology},
  volume = {6},
  number = {2},
  pages = {81-84},
  doi = {10.11648/j.ajeit.20220602.13},
  url = {https://doi.org/10.11648/j.ajeit.20220602.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajeit.20220602.13},
  abstract = {Geometrical thinking is concerned with looking at not individual spatial objects, but whole classes of these objects grouped by one or more characteristics. Geometry itself as a science has a millennial history. As a scientific direction, it involves the study of logical connections between concepts with the help of Central consciousness intuition, that is, based on spatial imagination. Geometrical thinking is a very high level of thinking of this abstraction, and therefore it is a combination of spatial thinking, which implies logical thinking, aimed at working with spatial images and establishing the appropriate relationship between these images. The skill of studying geometry is to distinguish different geometric shapes from each other and know their important properties, the relationship between individual elements, draw clear drawings of a simple geometrical state, understand it and call the corresponding conclusions in their imagination on this drawing, solve the problems of constructing and calculating lengths, squares, volumes and their parts, dimensions of the elements, as well as The article gives some recommendations on the development of mathematical thinking, creative compensation of students on solving problems on the subject of geometry.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Some Recommendations and Suggestions on the Methods of Solving Geometrical Problems
AU  - Nasriddin Shamsiddinov
Y1  - 2022/09/27
PY  - 2022
N1  - https://doi.org/10.11648/j.ajeit.20220602.13
DO  - 10.11648/j.ajeit.20220602.13
T2  - American Journal of Education and Information Technology
JF  - American Journal of Education and Information Technology
JO  - American Journal of Education and Information Technology
SP  - 81
EP  - 84
PB  - Science Publishing Group
SN  - 2994-712X
UR  - https://doi.org/10.11648/j.ajeit.20220602.13
AB  - Geometrical thinking is concerned with looking at not individual spatial objects, but whole classes of these objects grouped by one or more characteristics. Geometry itself as a science has a millennial history. As a scientific direction, it involves the study of logical connections between concepts with the help of Central consciousness intuition, that is, based on spatial imagination. Geometrical thinking is a very high level of thinking of this abstraction, and therefore it is a combination of spatial thinking, which implies logical thinking, aimed at working with spatial images and establishing the appropriate relationship between these images. The skill of studying geometry is to distinguish different geometric shapes from each other and know their important properties, the relationship between individual elements, draw clear drawings of a simple geometrical state, understand it and call the corresponding conclusions in their imagination on this drawing, solve the problems of constructing and calculating lengths, squares, volumes and their parts, dimensions of the elements, as well as The article gives some recommendations on the development of mathematical thinking, creative compensation of students on solving problems on the subject of geometry.
VL  - 6
IS  - 2
ER  -

Copy | Download