Araştırma Makalesi
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Examination of Mathematics Course Contents Related to Proof in the Educational Informatics Network

Yıl 2024, Cilt: 18 Sayı: 1, 59 - 86, 29.06.2024
https://doi.org/10.17522/balikesirnef.1395739

Öz

This research aims to examine the mathematics course contents related to proof in the Educational Informatics Network. The document analysis method was used in this qualitative research. The data of the study consisted of 35-course contents related to proof in the Educational Informatics Network. These contents were subjected to content analysis. According to analysis results, it has been determined that there isn’t enough proof in the contents of the Educational Informatics Network for all grade levels and in all learning domains. Although not in sufficient numbers, the proofs in these contents mostly consist of proofs belonging to the “Geometry” learning domain. The number of proofs in the “Numbers and Algebra” learning domain is limited. It is seen that no proof of the “Data, Counting, and Probability” learning domain is included. In line with the results of this research, it can be suggested to produce more content related to proof suitable for cognitive developments and grade levels by making the most of the potential of technology for all grade levels and all learning domains.

Kaynakça

  • Alanoğlu, M., & Doğan-Atalan, B. (2021). Covid-19 period from the perspective of the teacher: A case study on students’ independent research and self-regulation skills. Dicle University Journal of Ziya Gökalp Faculty of Education, 39, 34-47. http://dx.doi.org/10.14582/DUZGEF.2021.164
  • Atasoy, M., & Yiğitcan-Nayir, Ö. (2019). Students’ opinions regarding the use of educational and information network video modules in math courses. International Journal of Science and Education, 2(1), 24-37. https://dergipark.org.tr/tr/pub/ubed/issue/48031/576936
  • Ayık, G. (Ed.). (2021a). Ortaöğretim matematik 9 ders kitabı. Ministry of National Education Publications.
  • Ayık, G. (Ed.). (2021b). Ortaöğretim matematik 10 ders kitabı. Ministry of National Education Publications.
  • Bahçeci, F., & Efe, B. (2018). Evaluation of high school students’ opinions on Educational Informatics Network (EBA) site. Journal of Theoretical Educational Science, 11(4), 676-692. https://doi.org/10.30831/akukeg.387055
  • Balaman, F., & Hanbay-Tiryaki, S. (2021). The opinions of teachers about compulsory distance education due to Corona Virus (Covid-19). Journal of the Human and Social Science Researches, 10(1), 52-84. https://dergipark.org.tr/tr/pub/itobiad/issue/60435/769798
  • Ball, D. L., Hoyles, C., Jahnke, H. N., & Movshovitz-Hadar, N. (2002). The teaching of proof. In L. I. Tatsien (Ed.), Proceedings of the International Congress of Mathematicians, 3, 907-920. Higher Education Press. https://doi.org/10.48550/arXiv.math/0305021
  • Borba, M. C. (2021). The future of mathematics education since COVID-19: humans-with-media or humans-with-non-living-things. Educational Studies in Mathematics, 108(1), 385-400. https://doi.org/10.1007/s10649-021-10043-2
  • Bullo, M. (2021). Integration of video lessons to grade-9 science learners amidst COVID-19 pandemic. International Journal of Research Studies in Education, 10(9), 67-75. https://doi.org/10.5861/ijrse.2021.670
  • Christou, C., Mousoulides, N., Pittalis, M., & Pitta-Pantezi, D. (2004). Proofs through exploration in dynamic geometry environments. International Journal of Science and Mathematics Education, 2(3), 339-352. https://doi.org/10.1007/s10763-004-6785-1
  • Cihan, F. (2019). A course design for developing pre-service mathematics teachers’ content knowledge and pedagogical content knowledge of proof (Publication No. 570220) [Doctoral dissertation, Marmara University]. Council of Higher Education Thesis Center.
  • Cihan, F. (2023). Investigation of components of the axiomatic system in 9th grade mathematics textbooks in Türkiye. Trakya Journal of Education, 13(3), 1893-1907. https://doi.org/10.24315/tred.1255708
  • Cihan, F., & Akkoç, H. (2023). A Comparison of high school mathematics curriculum documents: 2005-2011-2013-2018. Journal of Bayburt Education Faculty, 18(38), 298-331. https://doi.org/10.35675/befdergi.1198797
  • Creswell, J. W. (2014). Research design: Qualitative, quantitative and mixed methods approaches (4th ed.). Sage.
  • Çavuş, H., & Keskin-Yorgancı, F. (2020). Middle school mathematics teachers’s levels of utilization the Education Informatics Network (EBA) project and their opinions about the project. Van Yüzüncü Yıl University Journal of Education Faculty, 17(1), 1272-1303. https://doi.org/10.33711/yyuefd.831077
  • Daniel, S. J. (2020). Education and the COVID-19 pandemic. Prospects, 49(1-2), 91-96. https://doi.org/10.1007/s11125-020-09464-3
  • Demir, F., & Özdaş, F. (2020). Examining teachers’ opinions related to distance education in the COVID-19 process. Journal of National Education, 49(Education in Türkiye and the World During the Pandemic Process), 273-292. https://doi.org/10.37669/milliegitim.775620
  • Dinler-Esim, F., & Dinç-Artut, P. (2022). Investigation of videos prepared for middle school mathematics content in Education Informatics Network (EBA) according to multimedia design principles. Adnan Menderes University Faculty of Education Journal of Educational Sciences, 13(2), 13-27. https://dergipark.org.tr/en/pub/aduefebder/issue/74592/1015609
  • Durak, G., Çankaya, S., & İzmirli, S. (2020). Examining the Turkish universities’ distance education systems during the COVID-19 pandemic. Necatibey Faculty of Education, Electronic Journal of Science and Mathematics Education, 14(1), 787-809. https://doi.org/10.17522/balikesirnef.743080
  • Durmuşçelebi, M., & Temircan, S. (2017). Determining the views of students on teaching materials and course content in the Education and Information Network (EBA). OPUS International Journal of Society Researches, 7(13), 632-652. https://doi.org/10.26466/opus.357033
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  • Educational Informatics Network [EIN]. (2023). İspat. Retrieved July 25, 2023, from https://ders.eba.gov.tr/ders/proxy/VCollabPlayer_v0.0.960/index.html#/main/vcEbaSearch/2/ispat/1?pageSize=24
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Eğitim Bilişim Ağındaki İspatla İlgili Matematik Ders İçeriklerinin İncelenmesi

Yıl 2024, Cilt: 18 Sayı: 1, 59 - 86, 29.06.2024
https://doi.org/10.17522/balikesirnef.1395739

Öz

Bu araştırma Eğitim Bilişim Ağındaki ispatla ilgili matematik ders içeriklerini incelemeyi amaçlamaktadır. Bu nitel araştırmada doküman incelemesi yöntemi kullanılmıştır. Araştırmanın verilerini Eğitim Bilişim Ağındaki ispatla ilgili 35 ders içeriği oluşturmaktadır. Bu içerikler içerik analizine tabi tutulmuştur. Analiz sonuçlarına göre Eğitim Bilişim Ağındaki içeriklerde tüm sınıf düzeylerinde ve tüm öğrenme alanlarında yeterince ispat yapılmadığı saptanmıştır. Yeterli sayıda olmamakla birlikte bu içeriklerdeki ispatları çoğunlukla “Geometri” öğrenme alanına ait ispatlar oluşturmaktadır. “Sayılar ve Cebir” öğrenme alanına ait ispatlar sayıca sınırlı kalmaktadır. “Veri, Sayma ve Olasılık” öğrenme alanına ait hiçbir ispata yer verilmediği görülmektedir. Araştırmanın sonuçları doğrultusunda, tüm sınıf düzeylerinde ve tüm öğrenme alanlarında, teknolojinin potansiyellerinden en üst düzeyde yararlanılarak bilişsel gelişimlere ve sınıf seviyelerine uygun ispatla ilgili daha fazla içerik üretilmesi önerilebilir.

Kaynakça

  • Alanoğlu, M., & Doğan-Atalan, B. (2021). Covid-19 period from the perspective of the teacher: A case study on students’ independent research and self-regulation skills. Dicle University Journal of Ziya Gökalp Faculty of Education, 39, 34-47. http://dx.doi.org/10.14582/DUZGEF.2021.164
  • Atasoy, M., & Yiğitcan-Nayir, Ö. (2019). Students’ opinions regarding the use of educational and information network video modules in math courses. International Journal of Science and Education, 2(1), 24-37. https://dergipark.org.tr/tr/pub/ubed/issue/48031/576936
  • Ayık, G. (Ed.). (2021a). Ortaöğretim matematik 9 ders kitabı. Ministry of National Education Publications.
  • Ayık, G. (Ed.). (2021b). Ortaöğretim matematik 10 ders kitabı. Ministry of National Education Publications.
  • Bahçeci, F., & Efe, B. (2018). Evaluation of high school students’ opinions on Educational Informatics Network (EBA) site. Journal of Theoretical Educational Science, 11(4), 676-692. https://doi.org/10.30831/akukeg.387055
  • Balaman, F., & Hanbay-Tiryaki, S. (2021). The opinions of teachers about compulsory distance education due to Corona Virus (Covid-19). Journal of the Human and Social Science Researches, 10(1), 52-84. https://dergipark.org.tr/tr/pub/itobiad/issue/60435/769798
  • Ball, D. L., Hoyles, C., Jahnke, H. N., & Movshovitz-Hadar, N. (2002). The teaching of proof. In L. I. Tatsien (Ed.), Proceedings of the International Congress of Mathematicians, 3, 907-920. Higher Education Press. https://doi.org/10.48550/arXiv.math/0305021
  • Borba, M. C. (2021). The future of mathematics education since COVID-19: humans-with-media or humans-with-non-living-things. Educational Studies in Mathematics, 108(1), 385-400. https://doi.org/10.1007/s10649-021-10043-2
  • Bullo, M. (2021). Integration of video lessons to grade-9 science learners amidst COVID-19 pandemic. International Journal of Research Studies in Education, 10(9), 67-75. https://doi.org/10.5861/ijrse.2021.670
  • Christou, C., Mousoulides, N., Pittalis, M., & Pitta-Pantezi, D. (2004). Proofs through exploration in dynamic geometry environments. International Journal of Science and Mathematics Education, 2(3), 339-352. https://doi.org/10.1007/s10763-004-6785-1
  • Cihan, F. (2019). A course design for developing pre-service mathematics teachers’ content knowledge and pedagogical content knowledge of proof (Publication No. 570220) [Doctoral dissertation, Marmara University]. Council of Higher Education Thesis Center.
  • Cihan, F. (2023). Investigation of components of the axiomatic system in 9th grade mathematics textbooks in Türkiye. Trakya Journal of Education, 13(3), 1893-1907. https://doi.org/10.24315/tred.1255708
  • Cihan, F., & Akkoç, H. (2023). A Comparison of high school mathematics curriculum documents: 2005-2011-2013-2018. Journal of Bayburt Education Faculty, 18(38), 298-331. https://doi.org/10.35675/befdergi.1198797
  • Creswell, J. W. (2014). Research design: Qualitative, quantitative and mixed methods approaches (4th ed.). Sage.
  • Çavuş, H., & Keskin-Yorgancı, F. (2020). Middle school mathematics teachers’s levels of utilization the Education Informatics Network (EBA) project and their opinions about the project. Van Yüzüncü Yıl University Journal of Education Faculty, 17(1), 1272-1303. https://doi.org/10.33711/yyuefd.831077
  • Daniel, S. J. (2020). Education and the COVID-19 pandemic. Prospects, 49(1-2), 91-96. https://doi.org/10.1007/s11125-020-09464-3
  • Demir, F., & Özdaş, F. (2020). Examining teachers’ opinions related to distance education in the COVID-19 process. Journal of National Education, 49(Education in Türkiye and the World During the Pandemic Process), 273-292. https://doi.org/10.37669/milliegitim.775620
  • Dinler-Esim, F., & Dinç-Artut, P. (2022). Investigation of videos prepared for middle school mathematics content in Education Informatics Network (EBA) according to multimedia design principles. Adnan Menderes University Faculty of Education Journal of Educational Sciences, 13(2), 13-27. https://dergipark.org.tr/en/pub/aduefebder/issue/74592/1015609
  • Durak, G., Çankaya, S., & İzmirli, S. (2020). Examining the Turkish universities’ distance education systems during the COVID-19 pandemic. Necatibey Faculty of Education, Electronic Journal of Science and Mathematics Education, 14(1), 787-809. https://doi.org/10.17522/balikesirnef.743080
  • Durmuşçelebi, M., & Temircan, S. (2017). Determining the views of students on teaching materials and course content in the Education and Information Network (EBA). OPUS International Journal of Society Researches, 7(13), 632-652. https://doi.org/10.26466/opus.357033
  • Educational Informatics Network [EIN]. (n.d.). Retrieved July 25, 2023, from https://www.eba.gov.tr/
  • Educational Informatics Network [EIN]. (2020). Eğitim Bilişim Ağı nedir? Retrieved January 24, 2021, from http://www.eba.gov.tr/
  • Educational Informatics Network [EIN]. (2023). İspat. Retrieved July 25, 2023, from https://ders.eba.gov.tr/ders/proxy/VCollabPlayer_v0.0.960/index.html#/main/vcEbaSearch/2/ispat/1?pageSize=24
  • EIN TV. (2020, 30 September). Niceleyiciler, açık önermeler ve tanım, aksiyom, teorem, ispat kavramları. Retrieved July 25, 2023, from https://ders.eba.gov.tr/ders/proxy/VCollabPlayer_v0.0.960/index.html#/main/curriculumResource?resourceID=c272599e756bd261804147d269e1446b&resourceTypeID=3&loc=-1&showCurriculumPath=true
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  • Kırmızıgül, H. G. (2020). The COVID-19 pandemic and the resulting education process. Eurasian Journal of Researches in Social and Economics (EJRSE), 7(5), 283-289. https://dergipark.org.tr/tr/pub/asead/issue/54658/725274
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  • Ministry of National Education [MoNE]. (2018a). Matematik dersi öğretim programı (İlkokul ve ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. Sınıflar. http://mufredat.meb.gov.tr/ProgramDetay.aspx?PID=329
  • Ministry of National Education [MoNE]. (2018b). Ortaöğretim matematik dersi (9, 10, 11 ve 12. sınıflar) öğretim programı. http://mufredat.meb.gov.tr/ProgramDetay.aspx?PID=343
  • Ministry of National Education [MoNE]. (2018c). Ortaöğretim fen lisesi matematik dersi (9, 10, 11 ve 12. sınıflar) öğretim programı. http://mufredat.meb.gov.tr/ProgramDetay.aspx?PID=340
  • Nelsen, R. (1993). Proofs without words: exercises in visual thinking. Mathematical Association of America. New Jersey COVID-19 Information Hub. (2020, March, 10). What is the official name of the Novel Coronavirus? Retrieved July 30, 2023, from https://covid19.nj.gov/faqs/coronavirus-information/about-the-virus/what-is-the-official-name-of-the-novel-coronavirus
  • Olivero, F. (2002). The proving process within a dynamic geometry environment (ISBN No. 0-86292-535-5) [Doctoral dissertation, University of Bristol]. https://research-information.bris.ac.uk/en/studentTheses/the-proving-process-within-a-dynamic-geometry-environment
  • Özbey, A., & Koparan, T. (2020). The effect of Educational Information Network supported education on the achievement, attitude and motivation of middle school students on equality and equation. Journal of Computer and Education Research, 8(16), 453-475. https://doi.org/10.18009/jcer.718801
  • Özdemir-Erdoğan, E., Erdoğan, A., Dur, Z., & Akkurt-Denizli, Z. (2020). Exploring, conjecturing and proving with dynamic geometry software: a case study. Necatibey Faculty of Education, Electronic Journal of Science and Mathematics Education, 14(1), 661-690. https://doi.org/10.17522/balikesirnef.689742
  • Özer, M. (2020). Educational policy actions by the Ministry of National Education in the times of COVID-19. Kastamonu Education Journal, 28(3), 1124-1129. http://dx.doi.org/10.24106/kefdergi.722280
  • Öztek, Z. (2020). Pandemi mücadelesi ve yan kazanımlar. Sağlık ve Toplum Dergisi, COVID-19 Özel Sayısı, 6-14. https://ssyv.org.tr/wp-content/uploads/2020/07/1-Pandemi-M%C3%BCcadelesi-ve-Yan-Kazan%C4%B1mlar.pdf
  • Patton, M. Q. (2001). Qualitative research & evaluation methods (3rd ed.). Sage.
  • Peker, M. (Ed.). (2021). Ortaokul ve imam hatip ortaokulu matematik 8 ders kitabı. Ministry of National Education Publications.
  • Poçan, S., & Yaşaroğlu, C. (2017). Examination of the mathematics contents of EBA in the context of seamless learning principles. Journal of International Social Research, 10(51), 795-806. http://dx.doi.org/10.17719/jisr.2017.1816
  • Schneider, S. L., & Council, M. L. (2021). Distance learning in the era of COVID-19. Archives of Dermatological Research, 313(5), 389-390. https://doi.org/10.1007/s00403-020-02088-9
  • Štrausová, I., & Hašek, R. (2013). Dynamic visual proofs using DGS. The Electronic Journal of Mathematics and Technology, 7(2), 130-142. https://ejmt.mathandtech.org/Contents/eJMT_v7n2a3.pdf
  • Stylianides, A. J. (2007). Proof and proving in school mathematics. Journal for Research in Mathematics Education, 38(3), 289-321. http://www.jstor.org/stable/30034869
  • Tall, D., Yevdokimov, O., Koichu, B., Whiteley, W., Kondratieva, M., & Cheng, Y. -H. (2012). Cognitive development of proof. In G. Hanna, M. de Villiers (Eds.), Proof and proving in mathematics education (pp. 13-49). Springer. https://doi.org/10.1007/978-94-007-2129-6_2
  • Temel, H., & Gür, H. (2022). Opinions of elementary mathematics teacher candidates on the use of digital technologies in mathematics education. Journal of Educational Technology & Online Learning, 5(4), 864-889. https://doi.org/10.31681/jetol.1151382
  • Tuluk, G., & Akyüz, H. İ. (2019). Investigation of EBA contents by teacher and teacher candidates: 5th grade natural numbers unit. Usak University Journal of Social Sciences, 12(2), 32-47. https://dergipark.org.tr/en/pub/usaksosbil/issue/51480/640268
  • Türker, A., & Dündar, E. (2020). The opinions of high school teachers on distance learning which is carried out through EBA (Educational Informatics Network) during COVID-19 pandemic period. Journal of National Education, 49(Education in Türkiye and the World During the Pandemic Process), 323-342. https://doi.org/10.37669/milliegitim.738702
  • Tzanakis, C., & Arcavi, A. (2000). Integrating history of mathematics in the classroom: an analytic survey. In J. Favuel & J. Van Manen (Eds.), History in mathematics education (pp. 201-240). Kluwer.
  • Ulualan, E. (Ed.). (2019). Ortaöğretim fen lisesi matematik 10 ders kitabı (2nd ed.). Ministry of National Education Publications.
  • Ulualan, E. (Ed.). (2021). Ortaöğretim fen lisesi matematik 9 ders kitabı. Ministry of National Education Publications.
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  • Yaman, B. (2021). Examining the distance education processes and practices in Turkey and China during Covid-19 pandemic. OPUS International Journal of Society Researches, 17 (Pandemic Special Issue), 3296-3308. https://doi.org/10.26466/opus.857131
  • Yapar, N. E., Uluçınar-Sağır, Ş., & Bozgün, K. (2022). Teachers’ views on EBA supported online distance education in the COVID-19 pandemic process. Ahi Evran University Journal of Kırşehir Education Faculty, 23(2), 1891-1933. https://doi.org/10.29299/kefad.975538
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  • Yavuz, B., & Toprakçı, E. (2021). The opinions shared in internet forums about schools’ distance education due to Covid-19 pandemic. Karaelmas Journal of Educational Sciences, 9(1), 120-139. https://dergipark.org.tr/tr/pub/kebd/issue/63030/913518
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Toplam 73 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik Eğitimi
Bölüm Makaleler
Yazarlar

Fikret Cihan 0000-0001-8783-4136

Yayımlanma Tarihi 29 Haziran 2024
Gönderilme Tarihi 24 Kasım 2023
Kabul Tarihi 7 Haziran 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 18 Sayı: 1

Kaynak Göster

APA Cihan, F. (2024). Examination of Mathematics Course Contents Related to Proof in the Educational Informatics Network. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 18(1), 59-86. https://doi.org/10.17522/balikesirnef.1395739