THE ROLE AND IMPORTANCE OF MATHEMATICAL CREATIVITY IN EDUCATION

Аннотация

This article discusses what mathematical creativity is, the definitions and perspectives related to it, its role in education, and its importance. Additionally, it addresses the concepts of “Creative Mathematics” and “Mental Arithmetic” in education, and the differences between these concepts.

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Abduraimova, S. . (2024). THE ROLE AND IMPORTANCE OF MATHEMATICAL CREATIVITY IN EDUCATION. Современная наука и исследования, 3(11), 575–579. извлечено от https://www.inlibrary.uz/index.php/science-research/article/view/47862
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Аннотация

This article discusses what mathematical creativity is, the definitions and perspectives related to it, its role in education, and its importance. Additionally, it addresses the concepts of “Creative Mathematics” and “Mental Arithmetic” in education, and the differences between these concepts.


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THE ROLE AND IMPORTANCE OF MATHEMATICAL CREATIVITY IN

EDUCATION

Abduraimova Sohiba Karimkul qizi

Guliston davlat universiteti tayanch doktoranti

ORCID:

https://orcid.org/0009-0000-4695-764X

e-mail:

abduraimova.sohiba1@gmail.com

https://doi.org/10.5281/zenodo.13996363

Abstract.

This article discusses what mathematical creativity is, the definitions and

perspectives related to it, its role in education, and its importance. Additionally, it addresses the

concepts of “Creative Mathematics” and “Mental Arithmetic” in education, and the differences

between these concepts.

Key words:

creativity, “Creative Mathematics,” “Mental Arithmetic,” mathematical

potential.

РОЛЬ И ЗНАЧЕНИЕ МАТЕМАТИЧЕСКОГО ТВОРЧЕСТВА В

ОБРАЗОВАНИИ

Аннотация.

В этой статье обсуждается, что такое математическое

творчество, определения и перспективы, связанные с ним, его роль в образовании и его

важность. Кроме того, в ней рассматриваются концепции «Творческой математики» и

«Ментальной арифметики» в образовании, а также различия между этими концепциями.

Ключевые слова:

творчество, «Творческая математика», «Ментальная

арифметика», математический потенциал.

INTRODUCTION

Creativity is one of the important aspects of mortal development, reflecting not only in the

fields of art and literature but also in wisdom, technology, and diurnal life. Every individual

possesses creative eventuality, and through the development of this capability, one discovers their

identity. Creativity also facilitates problem- working approaches, the capability to induce new

ideas, and innovative thinking in life situations. Although mathematics is unnaturally grounded on

specific rules and algorithms, it also requires creativity. As Poyla (1957) defined," fine creativity

encompasses the capacities related to independent thinking, logical logic, and the generation of

novelty." These capacities are significant in developing scholars’ chops in independent thinking

and chancing their results.


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LITERATURE REVIEW

Tutoring styles aimed at enhancing scholars’ creative eventuality have been validated in

multitudinous studies. For case, according to tableware, “ Creativity is directly related to deep and

flexible knowledge in meaningful disciplines. ” Mann honored fine creativity as an essential skill

that should be developed in all scholars. Indeed, the capability to creatively apply knowledge in

specific situations, propose unique results using general fine algorithms, and find multiple

different results to fine problems is considered a crucial factor for success. The 21st century,

characterized by bits and bytes, proves the significance of mathematics and fine creativity in

diurnal life. exploration by Getzels and Jackson (1962) and Torrens( 1966) showed a significant

correlation between creativity and academic achievement. Guilford(1974) concluded that although

the impact of intelligence on creativity is kindly diminished, it remains significantly related to

success.

Since creativity is a pivotal factor affecting academic achievement, it must be linked and

nurtured. presently, creative mathematics and internal computation are used alongside each other

in the educational process, leading to some confusion that these two generalities represent the

same thing. While both are employed in colorful educational processes, there’s a significant

difference in their objects and approaches. Creative mathematics is an approach that encourages

the development of new ideas, creative problem- working, and innovative operations of fine

rules by scholars. This, in turn, allows scholars to expand their fine thinking and develop creative

capacities. likewise, creative mathematics plays a pivotal part in developing creative thinking

chops, problem- working, and encouraging critical thinking. Mental computation, on the other

hand, focuses on developing the capability to perform quick and accurate computations.

It’s aimed at speeding up the computation process and enhancing perfection. Mental

computation helps scholars to perform introductory fine operations snappily and directly,

contributing to their success in the literacy process. During the literacy process, internal

computation education also fosters scholars’ social and emotional chops, encouraging

cooperation. The main differences between creative mathematics and internal computation are

as follows

1. Educational pretensions:

“ Creative Mathematics ” stimulates scholars by developing new ideas and creatively

working problems. scholars learn to apply fine rules in practical life using creative approaches.

For illustration, they learn to break their real- life problems using fine styles.

“ Mental computation ” is concentrated on developing the capability to perform quick and

accurate computations, abetting scholars in working fine problems fleetly. For illustration, in


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internal computation exercises, scholars learn to perform complex computation operations in a

matter of seconds.

2. Approach:

“ Creative Mathematics ” requires creative thinking and a broad contextual approach.

This approach enhances scholars’ creativity in problem- working, allowing them to express

and produce ideas in new ways.

“ Mental computation ” combines traditional fine rules with logical logic to develop

computation chops. This approach aids in performing fine processes snappily and directly. scholars

learn to perform multiple computations contemporaneously, enhancing their attention and focus.

3. Achievable issues:

“ Creative Mathematics ” develops scholars’ innovative thinking and problem- working

chops. They expand their fine thinking by creating their ideas and chancing new results.

Exploration indicates that “scholars using creative fine approaches ameliorate their logical

and critical thinking chops”.

“ Mental computation ” enhances computation speed and delicacy, helping scholars to

snappily execute introductory fine operations, performing in better performance in tests and other

fine tasks. This boosts their overall fine chops and provocation.

RESULT AND DISCUSSION

Presenting scholars with creative approaches in the educational process is pivotal for

developing creativity. Through creative problem- working, scholars expand their fine thinking

chops. preceptors can encourage scholars’ creative thinking by furnishing intriguing and

engaging tasks. Concrete exemplifications are important for motivating scholars. For case,

scholars should have the occasion to “ produce geometric shapes using colorful styles ” or “

break problems creatively. ” also, STEM( wisdom, technology, engineering, and mathematics)

education is a pivotal area that encourages scholars to be creative and suppose analytically. For

illustration," in a study, scholars sharing in STEM programs achieved a clearer understanding of

their capacities and bettered their creative thinking chops." Developing independent thinking

chops allows scholars to break problems on their own, therefore enhancing their creative

eventuality. By chancing their styles to break problems, scholars develop the capability to express

their studies singly. preceptors can encourage independent allowing through group conversations,

open- concluded questions, and creative design assignments. preceptors can apply colorful

strategies to inspire creative thinking in scholars. For case, games, group work, and systems aimed

at creative problem- working can motivate scholars. These approaches further broaden scholars’

fine knowledge and inspire creativity. Particularly, preceptors can also foster creative thinking


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through innovative educational technologies, similar as online platforms and software. Introducing

new subjects like rendering and robotics in seminaries helps scholars develop their fine thinking

chops.

CONCLUSION

Therefore, creative mathematics and internal computation are reciprocal approaches, but

their objects and styles differ significantly. Together, they play an important part in expanding

scholars’ fine knowledge and encouraging independent thinking and creative approaches.

Enhancing scholars’ creative eventuality and developing independent thinking chops

further emphasize the significance of creative mathematics and internal computation in the

educational process.

REFERENCES

1.

Mann, E. (2005). Mathematical creativity and school mathematics: Indicators of

mathematical creativity in middle school students. Retrieved from Doctoral dissertation

http://www.gifted.uconn.Edu/siegle/Dissertations/Eric%20Mann.pdf.

2.

Poyla, G. (1957). How to solve it. New York: Doubleday.

3.

Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem

solving and problem posing. International Reviews on Mathematical Education, 29, 75-80.

Retrieved March 10, 2003 from http://www.fiz-karlsruhe.de/fix/publications/zdm/adm97

4.

Abduraimova, S. (2024). THE ESSENCE OF DEVELOPING CREATIVITY SKILLS IN

FUTURE

PRIMARY

SCHOOL

TEACHERS:

A

PEDAGOGICAL

AND

PSYCHOLOGICAL ANALYSIS.

Science and innovation

,

3

(B5), 298-301.

5.

Maxsudova, S. (2023). THEORETICAL AND METHODOLOGICAL BASIS OF

DEVELOPING

THE

CREATIVITY

OF

FUTURE

PRIMARY

CLASS

TEACHERS.

Science and innovation

,

2

(B11), 540-543.

6.

Maxsudova, S. (2023). Boshlang’ich sinf darslarida xorijiy tajribalardan foydalanishning

ahamiyati va samaradorligi (Darsliklar misolida). In

INTERNATIONAL SCIENTIFIC

FORUM. Scienceweb-National database of scientific research of Uzbekistan

.

7.

Maxsudova, S., & Omonqulova, F. (2023). BOSHLANG’ICH SINF MATEMATIKA

DARSLARIDA

O’QUVCHILARNING

IQTIDORINI

OSHIRISH

UCHUN

HARAKATLI O’YINLARDAN FOYDALANISH.

Академические исследования в

современной науке

,

2

(12), 69-73.


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ResearchBib IF-2023: 11.01, ISSN: 3030-3753, Valume 1 Issue 8

ISSN: 3030-3753. VOLUME 1, ISSUE 2


579

8.

Maxsudova, S. (2023). BOSHLANG’ICH SINF MATEMATIKA DARSLARIDA

ILG’OR XORIJIY TAJRIBALARDAN FOYDALANISHNING AHAMIYATI.

Models

and methods in modern science

,

2

(5), 50-53.

9.

Qizi, A. S. K. (2024). TA’LIM TIZIMIDA KREATIVLIK QOBILIYATINI

RIVOJLANTIRISHGA OID YONDOSHUVLAR.

Science and innovation

,

3

(Special

Issue 16), 370-372.

10.

Taniberdiyev, A., & Maxsudova, S. (2023). CONCEPTUAL FOUNDATIONS OF THE

FORMATION

OF

CREATIVITY

IN

FUTURE

PRIMARY

SCHOOL

TEACHERS.

Modern Science and Research

,

2

(12), 466-472.

11.

Maxsudova, S. (2023). Priority directions for the formation of the effectiveness of the use

of foreign experience in primary grades.

BioGecko" A Journal for New Zealand

Herpetology

.

12.

Maxsudova, S. (2023). Boshlang’ich sinf o’quvchilarining iqtidorini erta aniqlash va

rivojlantirish uchun" Zukko bolajon" kurslari.

SIFATLI TA’LIM VA INTERDISSIPLINAR

YONDASHUV: MUAMMOLAR, YECHIMLAR VA HAMKORLIK” xalqaro ilmiy-amaliy

konferensiya materiallari

.

13.

Maxsudova, S. (2021). Boshlang’ich sinf matematika darslarida harakatli o’yinlardan

foydalanish metodikasi va samarasi.

Международный научно-образовательный

электронный журнал «ОБРАЗОВАНИЕ И НАУКА В XXI ВЕКЕ». Выпуск

, (13).

Библиографические ссылки

Mann, E. (2005). Mathematical creativity and school mathematics: Indicators of mathematical creativity in middle school students. Retrieved from Doctoral dissertation http://www.gifted.uconn.Edu/siegle/Dissertations/Eric%20Mann.pdf.

Poyla, G. (1957). How to solve it. New York: Doubleday.

Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. International Reviews on Mathematical Education, 29, 75-80. Retrieved March 10, 2003 from http://www.fiz-karlsruhe.de/fix/publications/zdm/adm97

Abduraimova, S. (2024). THE ESSENCE OF DEVELOPING CREATIVITY SKILLS IN FUTURE PRIMARY SCHOOL TEACHERS: A PEDAGOGICAL AND PSYCHOLOGICAL ANALYSIS. Science and innovation, 3(B5), 298-301.

Maxsudova, S. (2023). THEORETICAL AND METHODOLOGICAL BASIS OF DEVELOPING THE CREATIVITY OF FUTURE PRIMARY CLASS TEACHERS. Science and innovation, 2(B11), 540-543.

Maxsudova, S. (2023). Boshlang’ich sinf darslarida xorijiy tajribalardan foydalanishning ahamiyati va samaradorligi (Darsliklar misolida). In INTERNATIONAL SCIENTIFIC FORUM. Scienceweb-National database of scientific research of Uzbekistan.

Maxsudova, S., & Omonqulova, F. (2023). BOSHLANG’ICH SINF MATEMATIKA DARSLARIDA O’QUVCHILARNING IQTIDORINI OSHIRISH UCHUN HARAKATLI O’YINLARDAN FOYDALANISH. Академические исследования в современной науке, 2(12), 69-73.

Maxsudova, S. (2023). BOSHLANG’ICH SINF MATEMATIKA DARSLARIDA ILG’OR XORIJIY TAJRIBALARDAN FOYDALANISHNING AHAMIYATI. Models and methods in modern science, 2(5), 50-53.

Qizi, A. S. K. (2024). TA’LIM TIZIMIDA KREATIVLIK QOBILIYATINI RIVOJLANTIRISHGA OID YONDOSHUVLAR. Science and innovation, 3(Special Issue 16), 370-372.

Taniberdiyev, A., & Maxsudova, S. (2023). CONCEPTUAL FOUNDATIONS OF THE FORMATION OF CREATIVITY IN FUTURE PRIMARY SCHOOL TEACHERS. Modern Science and Research, 2(12), 466-472.

Maxsudova, S. (2023). Priority directions for the formation of the effectiveness of the use of foreign experience in primary grades. BioGecko" A Journal for New Zealand Herpetology.

Maxsudova, S. (2023). Boshlang’ich sinf o’quvchilarining iqtidorini erta aniqlash va rivojlantirish uchun" Zukko bolajon" kurslari. SIFATLI TA’LIM VA INTERDISSIPLINAR YONDASHUV: MUAMMOLAR, YECHIMLAR VA HAMKORLIK” xalqaro ilmiy-amaliy konferensiya materiallari.

Maxsudova, S. (2021). Boshlang’ich sinf matematika darslarida harakatli o’yinlardan foydalanish metodikasi va samarasi. Международный научно-образовательный электронный журнал «ОБРАЗОВАНИЕ И НАУКА В XXI ВЕКЕ». Выпуск, (13).