Improving the Teaching of Geometric Construction Problems in the Process of Training Future Mathematics Teachers

Authors

  • Madiyarov N.K. M. Auezov South-Kazakhstan University
  • Tursynkulova E.A. M. Auezov South-Kazakhstan University

Keywords:

geometry, construction problems, «Living Geometry», experimental work, future teacher of mathematics, computer technology.

Abstract

The article examines the problem of improving the teaching of geometric construction problems using information and communication technology (ICT) tools in the process of training future mathematics teachers at pedagogical universities. During the clarifying experiment, methodological problems in teaching geometric construction problems were identified, and as one of the ways to solve them, the need for methodological training of future mathematics teachers to use applied information and computer resources in teaching geometric construction problems was based. Analysis of information and computer technologies and programs intended for use in teaching geometry courses was performed, and the effectiveness of using the “Live Geometry” program in creating geometric construction problems was shown. Learners are more interested in geometry and construction problems, and can save all work in electronic format for future use. While studying the topic, the tools in the program will help to draw figures and use these figures in solving problems, formulate the properties of geometric figures, and use them to model geometric bodies.

In the given article, the authors analyzed the state programs and concepts, the works of domestic and foreign scientists, and the results of an online survey and interviews with students. 54 students of the mathematics education program were involved in a pedagogical experiment, and the results were shown in detail. As the results of the experiment show, after using the “Living Geometry” program in the lesson, students were recognized from a certain personal subjective point of view, which regulates their cognitive and practical activities, and an increase in theoretical knowledge and practical skills was determined. It has been proven by mathematical and statistical methods that the use of the “Living Geometry” program in the teaching of structural problems allows effective and efficient organization of education and increases the methodological training of future mathematics teachers.

References

Қазақстан Республикасында білім беруді және ғылымды дамытудың 2020–2025 жылдарға арналған мемлекеттік бағдарламасын бекіту туралы Қазақстан Республикасы Үкіметінің 2019 жылғы 27 желтоқсандағы №988 қаулысы. [Электронды ресурс]. URL: http://adilet.zan.kz/kaz/docs/P1900000988 (қаралған күні: 11.10.2022)

Рахымбек Д., Мадияров Н.К. Геометриялық салу есептері. – Алматы: Эверо, 2015. – 85 б.

Ташимова А.Л. Болашақ мұғалімдерді ақпараттық компьютерлік технологияны кәсіби іс-әрекеттерде пайдалануға даярлау: пед. ғыл. канд. ... дисс. – Астана, 2010. – 176 б.

Жайдақбаева Л.Қ. Негізгі мектепте планиметрия курсын оқытуды ақпараттық технология негізінде жетілдіру әдістемесі: пед. ғыл. канд. ... дисс. – Астана, 2009. – 170 б.

Angell C., Guttersrud О., Henriksen E., Isnes A. Physics: frightful, but fun. “Pupils and teachers” views of physics and physics teaching // Science Education. – 2004. – №88 (5). – Р. 683–706.

Klein P., et al. Classical Experiments revisited: Smartphone and Tablet PC as Experimental Tools in Acoustics and Optics // Physics Education. – 2014. – №49 (4). – Р. 412–418.

Панюкова С.В. Концепция реализации личностно-ориентированного обучения при использовании информационных и коммуникационных технологий. – М.: Изд-во ИОСО РАО, 1998. – 120 с.

Реан А.А. Психология личности. – Санкт-Петербург: Питер, 2017. – 286 с.

José Carlos Pinto Leivas, Anne Desconsi Hasselmann Bettin. Teorema de pitagoras e o fractal arvore pitagorica: Um experiment no Ensino fundamental // Brazilian Journal of Education, Technology and Society (BRAJETS) // Br. J. Ed., Tech. Soc. – 2018. Jul.-Sep. – v.11, n.3. – P. 444–457.

Дубровский В.Н., Лебедева Н.А., Белайчук О.А. 1С: Математический конструктор – новая программа динамической геометрии // Компьютерные инструменты в образовании. –2007. – №3. – С. 47–56.

Дубровский В.Н. Стереометрия с компьютером // Компьютерные инструменты в образовании. – 2003. – №6. – С. 3–11.

Михалкидо К.С., Хабаров С.К. КОМПАС-3DV6. Практическое руководство. – М.: ООО «Бином-Пресс», 2004. – 288 с.

Аленова С.А. Планиметрия курсын оқытуда «GeoGebra» бағдарламасын қолданудың шарттары мен механизмдері. [Электронды ресурс]. URL: https://ustaz.kz/materials/word/planimetriya_kyrsyn_oqytyda_geogebra_bagdarlamasyn_qoldanydyng_sarttary_men_mehanizmderi-286055.html (қаралған күні: 11.10.2022)

Савельева И. Среда «Живая геометрия» // Компьютер на уроке математики. – 2010. – №15. – С. 17–24.

REFERENCES

Qazaqstan Respublikasynda bіlіm berudі jane gylymdy damytudyn 2020–2025 jyldarga arnalgan memlekettіk bagdarlamasyn bekіtu turaly Qazaqstan Respublikasy Ukіmetіnіn 2019 jylgy 27 jeltoqsandagy №988 qaulysy [The state program of development of education and science in the Republic of Kazakhstan for 2020–2025]. [Electronic resource]. URL: http://adilet.zan.kz/kaz/docs/P1900000988 (qaralgan kunі: 11.10.2022) [in Kazakh]

Rahymbek D., Madiiarov N.K. Geometriialyq salu esepterі [Geometric construction problems]. – Almaty: Evero, 2015. – 85 b. [in Kazakh]

Tashimova A.L. Bolashaq mugalіmderdі aqparattyq kompiuterlіk tehnologiiany kasіbi іs-areketterde paidalanuga daiarlau [Training future teachers to use information computer technology in professional activities]: ped. gyl. kand. ... diss. – Astana, 2010. – 176 b. [in Kazakh]

Jaidaqbaeva L.Q. Negіzgі mektepte planimetriia kursyn oqytudy aqparattyq tehnologiia negіzіnde jetіldіru adіstemesі [Methodology of improving the teaching of the planimetry course in the primary school based on information technology]: ped. gyl. kand. ... diss. – Astana, 2009. – 170 b. [in Kazakh]

Angell C., Guttersrud O., Henriksen E., Isnes A. Physics: frightful, but fun. “Pupils and teachers” views of physics and physics teaching // Science Education. – 2004. – №88 (5). – R. 683–706.

Klein P., et al. Classical Experiments revisited: Smartphone and Tablet PC as Experimental Tools in Acoustics and Optics // Physics Education. – 2014. – №49 (4). – R. 412–418.

Panjukova S.V. Koncepciia realizacii lichnostno-orientirovannogo obucheniia pri ispolzovanii informacionnyh i kommunikacionnyh tehnologiy [The concept of implementing personality-oriented learning using information and communication technologies]. – M.: Izd-vo IOSO RAO, 1998. – 120 s. [in Russian]

Rean A.A. Psihologiia lichnosti [Personality psychology]. – Sankt-Peterburg: Piter, 2017. – 286 s. [in Russian]

José Carlos Pinto Leivas, Anne Desconsi Hasselmann Bettin. Teorema de pitagoras e o fractal arvore pitagorica: Um experiment no Ensino fundamental // Brazilian Journal of Education, Technology and Society (BRAJETS) // Br. J. Ed., Tech. Soc. – 2018. Jul.-Sep. – v.11, n.3. – P. 444–457.

Dubrovskiy V.N., Lebedeva N.A., Belajchuk O.A. 1S: Matematicheskij konstruktor – novaja programma dinamicheskoj geometrii [Mathematical Constructor – a new dynamic geometry program] // Komp'juternye instrumenty v obrazovanii. –2007. – №3. – S. 47–56. [in Kazakh] [in Russian]

Dubrovskiy V.N. Stereometriia s kompiuterom [Computer tools in education] // Kompiuternye instrumenty v obrazovanii. – 2003. – №6. – S. 3–11. [in Russian]

Mihalkido K.S., Habarov S.K. KOMPAS-3DV6. Prakticheskoe rukovodstvo [COMPASS-3D V6. Practical guide]. – M.: OOO «Binom-Press», 2004. – 288 s. [in Russian]

Alenova S.A. Planimetriia kursyn oqytuda «GeoGebra» bagdarlamasyn qoldanudyn sharttary men mehanizmderі [Terms and mechanisms of using “GeoGebra” program in planimetry course teaching]. [Electronic resource]. URL: https://ustaz.kz/materials/word/planimetriya_kyrsyn_oqytyda_geogebra_bagdarlamasyn_qoldanydyng_sarttary_men_mehanizmderi-286055.html (qaralgan kunі: 11.10.2022) [in Kazakh]

Savelieva I. Sreda «Jivaia geometriia» [Living Geometry Environment] // Kompiuter na uroke matematiki. – 2010. – №15. – S. 17–24. [in Russian]

Published

2023-06-30