Matematiksel İspat Yöntemlerine İlişkin YoutubeTM Videolarının ve Video Yorumlarının Analizi

Yıl 2024, , 437 - 460, 31.08.2024

Fikret Cihan

https://doi.org/10.17679/inuefd.1378938

Öz

COVID-19 süreci ile birlikte matematik eğitiminde uzaktan öğretim, dijital teknolojiler ve çevrim içi öğrenme ortamları ile ilgili çalışmalara artan bir ilgi olsa da bu tür çalışmalara literatürde halen oldukça ihtiyaç vardır. Bu araştırmanın amacı matematiksel ispat yöntemlerine ilişkin en fazla görüntülenen YouTubeTM videolarını ve bu videolara yapılan yorumları analiz etmektir. Bunun için YouTubeTM arama motoruna “matematiksel ispat yöntemleri” ve “mathematical proof methods” anahtar kelimeleri yazılarak arama yapılmış ve yüz binin üzerinde görüntüleme sayısına sahip sekiz video araştırma kapsamına dâhil edilmiştir. Bu sekiz video hem betimsel hem de içerik açısından analiz edilmiştir. Bunun için nicel betimsel istatistiklerden ve nitel betimsel analizden faydalanılmıştır. Ayrıca bu sekiz videoya yapılmış 1244 yorum analiz edilmiştir. Bunun için de duygu analizi yöntemi tercih edilmiştir. Araştırmanın bulgu ve sonuçlarına göre matematiksel ispat yöntemlerine ilişkin sekiz videonun ortalama görüntüleme sayısı 546203, ortalama görüntüleme oranı 20976, ortalama süresi 21 dakika 42 saniye ve ortalama yorum sayısı 237’dir. Ayrıca videolar içerik açısından çok zengin ve birbirinden çok farklılaşmış olmasa da videolara yapılan yorumlar çoğunlukla olumlu duygular içermektedir. Olumlu yorumlardan görülmektedir ki bu tür videolar öğrencilerin ispat öğrenimlerine bazı faydalı unsurlar taşımaktadır. Buradan hareketle ulusal ve uluslararası bağlamda öğrencilerin çevrim içi matematik öğrenme ortamlarına ve bu ortamlardaki kaliteli matematik içeriklerine olan ihtiyaçlarının dikkate alınması önerilebilir.

Anahtar Kelimeler

çevrimiçi öğrenme ortamı, duygu analizi, ispat yöntemleri, video analizi, YouTube, YouTube video yorumları

Analysis of YoutubeTM Videos and Video Comments on Mathematical Proof Methods

Öz

Although there is an increasing interest in studies on distance education, digital technologies, and online learning environments in mathematics education with the COVID-19 process, there is still a great need for such studies in the literature. The aim of this research is to analyze the most viewed YouTubeTM videos on mathematical proof methods and the comments made on these videos. For this aim, a search was made by typing the keywords “matematiksel ispat yöntemleri” and “mathematical proof methods” in the YouTubeTM search engine, and eight videos with over a hundred thousand views were included in the scope of the research. These eight videos were analyzed both descriptively and in terms of content. For this, quantitative descriptive statistics and qualitative descriptive analysis were used. Additionally, 1244 comments made on these eight videos were analyzed. For this, the sentiment analysis method was preferred. According to the findings and results of the research, the average number of views of eight videos on mathematical proof methods is 546203, the average view rate is 20976, the average duration is 21 minutes 42 seconds, and the average number of comments is 237. In addition, although the videos are not very rich in terms of content and not very differentiated from each other, the comments made on the videos mostly contain positive sentiments. It can be seen from the positive comments that such videos contain some useful elements for students’ proof learning. Based on this, it can be suggested that students’ needs for online mathematics learning media and quality mathematics content in these media should be considered in national and international contexts.

Anahtar Kelimeler

online learning media, sentiment analysis, proof methods, video analysis, YouTube, YouTube video comments

Kaynakça

• Alabdulaziz, M. S. (2021). COVID-19 and the use of digital technology in mathematics education. Education and Information Technologies, 26(6), 7609-7633. https://doi.org/10.1007/s10639-021-10602-3
• Altınel, A. B. (2021). Türkçe metinlerde makine öğrenmesi algoritmalarının duygu analizi problemi üzerindeki performansının kıyaslanması. Avrupa Bilim ve Teknoloji Dergisi, 28, 1056-1061. https://doi.org/10.31590/ejosat.1011864
• Armiati, & Nupus, O. V. (2022). Analysis of Youtube utilization in learning mathematics in the pandemic time of Covid-19. Rangkiang Mathematics Journal, 1(1), 16-24. https://doi.org/10.24036/rmj.v1i1.3
• Ayan, B., Can, M., & Gürsoy, U. T. (2020). Sosyal medya etkinliğinin ölçümü: Firmaların Twitter kullanımına ilişkin bir inceleme. Bolu Abant İzzet Baysal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 20(1), 121-146. https://doi.org/10.11616/basbed.v20i53206.644619
• A Z Computing. (2021, January 1). Methods of proof || Discrete structures in Urdu/Hindi. [Video]. YouTube. https://www.youtube.com/watch?v=9mbQiE8sTsw
• Baker, J. D. (1996, April 8-12). Students’ difficulties with proof by mathematical induction. Paper presented at the Annual Meeting of the American Educational Research Association, New York.
• Basch, C. H., Menafro, A., Mongiovi, J., Hillyer, G. C., & Basch, C. E. (2017). A content analysis of YouTubeTM videos related to prostate cancer. American Journal of Men’s Health, 11(1), 154-157. https://doi.org/10.1177/1557988316671459
• Biswas, R., Vyas, N., & Baskar, M. (2021). Sentiment analysis on national education policy change 2020. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(11), 1480-1488. https://doi.org/10.17762/turcomat.v12i11.6063
• BUders Boğaziçiliden Özel Ders. (2017, 24 Eylül). Ayrık matematik: Tüme varım yöntemi ile ispat (Mathematical induction). [Video]. YouTube. https://www.youtube.com/watch?v=MdQ9yqyf88o
• Büyüköztürk, Ş., Kılıç-Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2016). Bilimsel araştırma yöntemleri (21.Baskı). Ankara: Pegem Yayınları.
• Can, U., & Alataş, B. (2017). Duygu analizi ve fikir madenciliği algoritmalarının incelenmesi. International Journal of Pure and Applied Sciences, 3(1), 75-111. https://dergipark.org.tr/tr/pub/ijpas/issue/29969/304149
• Cardoso, V. C., Kato, L. A., & de Oliveira, S. R. (2014). Where to learn math? A study of access to an educational channel on YouTube. Revista Internacional de Pesquisa em Educação Matemática, 4(3), 45-62. http://funes.uniandes.edu.co/26159/
• Cebeci, H. İ. (2020). Sosyal medya verileri ile duygu analizi. S. Gülseçen, M. M. İnal, O. Torkul, İ. H. Selvi, Ç. Erol, G. Çağıl, A. Z. Reis & K. Uçar, (Ed.), Mühendislikte yapay zekâ uygulamaları (pp. 191-211) içinde. Sakarya: Sakarya Üniversitesi Yayınevi.
• Cihan, F. (2019). Matematik öğretmen adaylarının ispatla ilgili alan ve pedagojik alan bilgilerini geliştirmeye yönelik bir ders tasarımı (Doktora tezi, Tez No: 570220). Marmara Üniversitesi, Eğitim Bilimleri Enstitüsü, İstanbul. https://tez.yok.gov.tr/UlusalTezMerkezi/
• Coria, M. D., Arevalo, J. C. M., Hilario-Rivas, J. L., Hilario-Cárdenas, J. R., & Prado-Juscamaita, J. I. (2021). Supervised sentiment analysis algorithms. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(14), 2000-2012. https://turcomat.org/index.php/turkbilmat/article/view/10547
• Creswell, J. W. (2014). Research design: qualitative, quantitative and mixed methods approaches (4th ed.). Thousand Oaks, CA: Sage.
• Cunningham, D. W. (2012). A logical introduction to proof. New York: Springer.
• Eğitim Bilişim Ağı [EBA]. (2020). Eğitim bilişim ağı nedir? http://www.eba.gov.tr/ adresinden 24 Ocak 2021 tarihinde erişildi.
• Eğitim Bilişim Ağı [EBA]. (2023). İspat. https://ders.eba.gov.tr/ders/proxy/VCollabPlayer_v0.0.960/index.html#/main/vcEbaSearch/2/ispat/1?pageSize=24 adresinden 25 Nisan 2023 tarihinde erişildi.
• Epp, S. S. (2011). Discrete mathematics: an introduction to mathematical reasoning (Brief ed.). Boston, MA: Brooks/Cole, Cengage Learning.
• Erlandson, D. A., Harris, E. L., Skipper, B. L., & Allen, S. D. (1993). Doing naturalistic inquiry: a guide to methods. Newbury Park, CA: SAGE Publications.
• Ernest, P. (1984). Mathematical induction: A pedagogical discussion. Educational Studies in Mathematics, 15(2), 173-189. https://dx.doi.org/10.1007/BF00305895
• Eyipınar, C. D., Büyükkalkan, F., & Semiz, K. (2021). Sporcu beslenmesi ile ilgili YouTube video yorumlarının duygu analizi. Uluslararası Beden Eğitimi Spor ve Teknolojileri Dergisi, 2(2), 27-39. https://dergipark.org.tr/tr/pub/best/issue/67313/1009387
• Fan, L., Qi, C., Liu, X., Wang, Y., & Lin, M. (2017). Does a transformation approach improve students’ ability in constructing auxiliary lines for solving geometric problems? An intervention-based study with two Chinese classrooms. Educational Studies in Mathematics, 96(2), 229-248. https://doi.org/10.1007/s10649-017-9772-5
• Faye, I. (2014, December 8-10). Students’ perception in the use of self-made YouTube videos in teaching mathematics. In 2014 IEEE International Conference on Teaching, Assessment and Learning for Engineering (TALE) (pp. 231-235). Wellington, New Zealand. https://doi.org/10.1109/TALE.2014.7062629
• Fiallo, J., & Gutiérrez, A. (2017). Analysis of the cognitive unity or rupture between conjecture and proof when learning to prove on a grade 10 trigonometry course. Educational Studies in Mathematics, 96(2), 145-167. https://doi.org/10.1007/s10649-017-9755-6
• Fischbein, E., & Engel, I. (1989, July 9-13). Psychological difficulties in understanding the principle of mathematical induction. In G. Vergnaud, J. Rogalski, & M. Artigue (Eds.), Proceedings of the 13th International Conference for the Psychology of Mathematics Education (Vol. I, pp. 276-282). Paris, France: CNRS.
• Garnier, R., & Taylor, J. (2009). Discrete mathematics: proofs, structures, and applications (3rd ed.). Boca Raton, FL, USA: CRC Press, Taylor & Francis Group, LLC.
• Gossett, E. (2009). Discrete mathematics with proof (2nd ed.). New Jersey, USA: John Wiley & Sons.
• Gouthami, S., & Hegde, N. P. (2021). A survey on challenges and techniques of sentiment analysis. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(6), 4510-4515. https://turcomat.org/index.php/turkbilmat/article/view/8437
• Guest, G., MacQueen, K. M., & Namey, E. E. (2012). Applied thematic analysis. Thousand Oaks, CA: Sage. https://dx.doi.org/10.4135/9781483384436
• Güler, G., Özdemir, E., & Dikici, R. (2012). Öğretmen adaylarının matematiksel tümevarım yoluyla ispat becerileri ve matematiksel ispat hakkındaki görüşleri. Kastamonu Eğitim Dergisi, 20(1), 219-236. http://www.kefdergi.com/pdf/20_1/20_1_15.pdf
• Hassona, Y., Taimeh, D., Marahleh, A., & Scully, C. (2016). YouTube as a source of information on mouth (oral) cancer. Oral Diseases, 22(3), 202-208. https://doi.org/10.1111/odi.12434
• Insorio, A. O., & Macandog, D. M. (2022). Video lessons via YouTube channel as mathematics interventions in modular distance learning. Contemporary Mathematics and Science Education, 3(1), ep22001. https://doi.org/10.30935/conmaths/11468
• Jamil, A. F., Baiduri, B., & Pratiwi, A. E. (2022). Students’ interest and critical thinking: the experimental teaching method in using online learning media YouTube. Journal of Education Technology, 6(1), 12-18. https://doi.org/10.23887/jet.v6i1.43055
• Jelodar, H., Wang, Y., Rabbani, M., Ahmadi, S. B. B., Boukela, L., Zhao, R., & Larik, R. S. A. (2020). A NLP framework based on meaningful latent-topic detection and sentiment analysis via fuzzy lattice reasoning on youtube comments. Multimedia Tools and Applications, 80(3), 4155-4181. https://doi.org/10.1007/s11042-020-09755-z
• Jones, T., & Cuthrell, K. (2011). YouTube: educational potentials and pitfalls. Computers in the Schools, 28(1), 75-85. https://doi.org/10.1080/07380569.2011.553149
• Keskin, B. (2017). Öğretmenlerle ilgili YouTube videolarının analizi. Journal of Education and Future, 12, 85-94. https://dergipark.org.tr/en/pub/jef/issue/30777/332820
• Khan Academy. (2011, August 9). Proof by induction | Sequences, series and induction | Precalculus | Khan Academy. [Video]. YouTube. https://www.youtube.com/watch?v=wblW_M_HVQ8
• Komatsu, K. (2017). Fostering empirical examination after proof construction in secondary school geometry. Educational Studies in Mathematics, 96(2), 129-144. https://doi.org/10.1007/s10649-016-9731-6
• Köksal, B., Erdem, G., Türkeli, C., & Kamışlı-Öztürk, Z. (2021). Twitter’da duygu analizi yöntemi kullanılarak Bitcoin değer tahminlemesi. Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 9(3), 280-297. https://doi.org/10.29130/dubited.792909
• Lazarus, J., & Roulet, G. (2013). Creating a YouTube-like collaborative environment in mathematics: integrating animated geogebra constructions and student-generated screencast videos. European Journal of Contemporary Education, 4(2), 117-128. https://doi.org/10.13187/ejced.2013.4.117
• LeCompte, M. D., & Goetz, J. P. (1982). Problems of reliability and validity in ethnographic research. Review of Educational Research, 52(1), 31-60. https://doi.org/10.3102/00346543052001031
• Lu, J. C.‑C. (2023). Using YouTube as an effective educational tool to improve engineering mathematics teaching during the COVID‑19 pandemic. Engineering Proceedings, 38(1), 24. https://doi.org/10.3390/engproc2023038024
• Marrades, R., & Gutiérrez, A. (2000). Proofs produced by secondary school students learning geometry in a dynamic computer environment. Educational Studies in Mathematics, 44(1/2), 87-125. https://doi.org/10.1023/A:1012785106627
• Marsudi, A. S., Lestari, M. P., & Hidayati, N. (2021). The use of YouTube social media in the Covid19 pandemic to improve understanding of mathematical concepts. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(13), 6327-6333. https://www.turcomat.org/index.php/turkbilmat/article/view/9921/7588
• Mata-Pereira, J., & da Ponte, J. P. (2017). Enhancing students’ mathematical reasoning in the classroom: Teacher actions facilitating generalization and justification. Educational Studies in Mathematics, 96(2), 169-186. https://doi.org/10.1007/s10649-017-9773-4
• McDuffie, K. A., & Scruggs, T. E. (2008). The contributions of qualitative research to discussions of evidence-based practice in special education. Intervention in School and Clinic, 44(2), 91-97. https://doi.org/10.1177/1053451208321564
• Medhat, W., Hassan, A., & Korashy, H. (2014). Sentiment analysis algorithms and applications: a survey. Ain Shams Engineering Journal, 5(4), 1093-1113. https://doi.org/10.1016/j.asej.2014.04.011
• Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook (2nd ed.). Thousand Oaks, CA, US: Sage Publications, Inc.
• Nabayra, J. (2022). YouTube-based teacher-created videos for online mathematics learning during the pandemic and its effect to students’ mathematics performance. Webology, 19(2), 1380-1390.
• Norman, M. K. (2017). Twelve tips for reducing production time and increasing long-term usability of instructional video. Medical Teacher, 39(8), 808-812. https://doi.org/10.1080/0142159x.2017.1322190
• Nptelhrd. (2007, December 4). Lecture 7 - Methods of proof. [Video]. YouTube. https://www.youtube.com/watch?v=0gflLmuhHOg
• Özdemir, G., Gökdağ, R., & Neslihanoğlu, S. (2019). Sosyal medyada emoji kullanımı ve anlamlandırılması: Anadolu Üniversitesi İletişim Bilimleri Fakültesi örneği. Selçuk İletişim Dergisi, 12(1), 425-443. https://doi.org/10.18094/josc.414605
• Öztürk, G., & Gümüş, H. (2021). Çocuklarda genel anestezi altında uygulanan diş tedavileri ile ilgili YouTube™ videolarının içerik analizi. Selcuk Dental Journal, 8(1), 140-147. https://doi.org/10.15311/selcukdentj.856093
• PatrickJMT. (2017, September 25). Four basic proof techniques used in mathematics. [Video]. YouTube. https://www.youtube.com/watch?v=V5tUc-J124s
• Patton, M. Q. (2001). Qualitative research & evaluation methods. (4th ed.). Saint Paul, MN: Sage Publications.
• Raman, M., Sandefur, J., Birky, G., Campbell, C., & Somers, K. (2009). Is that a proof? Using video to teach and learn how to prove at the university level. In F. L. Lin, F. J. Hsieh, G. Hanna, & M. de Villiers (Eds.), Proceedings of ICMI Study 19 on Proof and Proving in Mathematics Education (vol. 2, 154-159). Taipei: National Taiwan Normal University.
• Recio, A. M., & Godino, J. D. (2001). Institutional and personal meanings of mathematical proof. Educational Studies in Mathematics, 48(1), 83-99. https://doi.org/10.1023/A:1015553100103
• Rossi, R. J. (2006). Theorems, corollaries, lemmas, and methods of proof. Hoboken, New Jersey: John Wiley & Sons, Inc.
• Roy, S., Inglis, M., & Alcock, L. (2017). Multimedia resources designed to support learning from written proofs: an eye-movement study. Educational Studies in Mathematics, 96(2), 249-266. doi: https://doi.org/10.1007/s10649-017-9754-7
• Russo, J., Bobis, J., Downton, A., Livy, S., & Sullivan, P. (2021). Primary teacher attitudes towards productive struggle in mathematics in remote learning versus classroom-based settings. Education Sciences, 11(2), 35. https://doi.org/10.3390/educsci11020035
• Saldaña, J. (2009). The coding manual for qualitative researchers (1st edition). Sage Publications Ltd.
• Social Blade. (2023). https://socialblade.com/ adresinden 15.09.2023 tarihinde erişilmiştir.
• Sommerhoff, D., & Ufer, S. (2019). Acceptance criteria for validating mathematical proofs used by school students, university students, and mathematicians in the context of teaching. ZDM Mathematics Education, 51(5), 717-730. https://doi.org/10.1007/s11858-019-01039-7
• Spearman, C. (1904). The proof and measurement of association between two things. The American Journal of Psychology, 15(1), 72-101. https://doi.org/10.2307/1412159
• Stohlmann, M. (2012). YouTube incorporated with mathematical modeling activities: benefits, concerns, and future research opportunities. International Journal of Technology in Mathematics Education, 19(3), 117-124.
• Stylianides, G. J., Stylianides, A. J., & Philippou, G. N. (2007). Preservice teachers’ knowledge of proof by mathematical induction. Journal of Mathematics Teacher Education, 10(3), 145-166. http://dx.doi.org/10.1007/s10857-007-9034-z
• Şeker, S. E. (2016). Duygu analizi (Sentimental analysis). YBS Ansiklopedi, 3(3), 21-36.
• The Organic Chemistry Tutor. (2018, February 20). Mathematical induction practice problems. [Video]. YouTube. https://www.youtube.com/watch?v=tHNVX3e9zd0
• TrevTutor. (2014, December 22). Direct proofs - Discrete mathematics. [Video]. YouTube. https://www.youtube.com/watch?v=YFZzLQN5qOU
• TrevTutor. (2015, May 19). Proof by contradiction - Discrete mathematics. [Video]. YouTube. https://www.youtube.com/watch?v=sRDwsfNDXak
• Turan, U. N., Emre, İ. E., & Kıran, S. (2022). Metaverse ile ilgili Türkçe dilindeki çeşitli sosyal medya platformu verileri ile duygu analizi. Bilişim Sistemleri ve Yönetim Araştırmaları Dergisi, 4(2), 1-16. https://dergipark.org.tr/tr/pub/jismar/issue/74700/1165789
• Varol, M. Ç., & Varol, E. (2021). Yeni medyada duygu analizi üzerine bir değerlendirme: Bilgisayar mühendisliği bilimleri doktora tezleri incelemesi. N. Pembecioğlu, N. Sezer, U. Gündüz & N. Akgün-Çomak (Ed.), İletişim araştırmaları ve film çözümlemeleri II: Dijital çağda medya (ss. 79-97) içinde. İstanbul: Eğitim Yayınevi.
• Whitaker, J. A., Orman, E. K., & Yarbrough, C. (2014). Characteristics of “music education” videos posted on YouTube. Update: Applications of Research in Music Education, 33(1), 49-56. https://doi.org/10.1177/8755123314540662
• Yıldırım, A., & Şimşek, H. (2016). Sosyal bilimlerde nitel araştırma yöntemleri (10th edition). Ankara: Seçkin Publishing.
• Yohannes, Y., Juandi, D., Diana, N., & Sukma, Y. (2021). Mathematics teachers’ difficulties in implementing online learning during the COVID-19 Pandemic. Journal of Hunan University Natural Sciences, 48(5), 87-98. http://www.jonuns.com/index.php/journal/article/download/581/578
• Yoo, J. H., & Kim, J. (2012). Obesity in the new media: a content analysis of obesity videos on YouTube. Health Communication, 27(1), 86-97. https://doi.org/10.1080/10410236.2011.569003
• YouTube. (t.y.). https://www.youtube.com/ adresinden 15.09.2023 tarihinde erişildi.
• Yücekaya, M. A., Sağın, A. E., & Uğraş, S. (2021). Physical education and sports lesson in distance education: content analysis of videos on Youtube. IJERI-International Journal of Educational Research and Innovation, 15, 533-551. https://doi.org/10.46661/ijeri.5766