Öğretmen Adaylarının Grafiklerin Öğretimi Bağlamında İstatistik Yapmaya İlişkin Anlayışları
Year 2021,
Volume: 14 Issue: 4, 638 - 664, 19.10.2021
Nadide Yılmaz
,
İffet Yetkin
Abstract
Bu çalışmada öğretmen adaylarının istatistik yapma konusundaki anlayışlarının ders imecesi/araştırması bağlamında incelenmesi amaçlanmıştır. Öğretmen adaylarının istatistik yapma sürecindeki anlayışlarının (alan bilgisi) grafiklerle ilişkili ders planlarken ve uygularken nasıl değiştiği ve nasıl öğretim pratiklerine dönüştüğüne (öğrenci ve öğretim bilgisi) odaklanılmıştır. Çalışmaya üç son sınıf öğretmen adayı katılmış, iki aşamadan oluşan (üniversite ve gerçek okul) ders imecesi/araştırması uygulaması gerçekleştirmişlerdir. Öğretmen adayları tarafından grup halinde hazırlanan ders planları, gözlemler, alan notları, yarı yapılandırılmış görüşmeler ve grup toplantılarının video ve ses kayıtları ve öğretim uygulamaları aracılığıyla veriler toplanmıştır. Öğretmen adayları başlangıçta istatistik yapma sürecinin birbiriyle ilişkili birçok bileşenden oluştuğunu düşünmemişlerdir. Ders planları tasarladıkça, kavramlar hakkında tartıştıkça anlayışları gelişmiş; bu gelişim ders planları ve öğretimsel uygulamalarına büyük ölçüde yansımıştır. İstatistiksel soruları istatistik yapmanın merkezine koymaya başlamaları, diğer temalarla ilgili fikirlerini (örneğin, veri toplama, grafikleri yorumlama) etkileyen önemli bir dönüm noktası haline gelmiştir. Ayrıca istatistik yapmakla ilgili anlayışlarının öğretim uygulamalarını doğrudan etkilediği de gözlemlenmiştir.
Supporting Institution
Tübitak
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Pre-Service Teachers’ Understandings of Doing Statistics in the Context of Teaching Graphs
Year 2021,
Volume: 14 Issue: 4, 638 - 664, 19.10.2021
Nadide Yılmaz
,
İffet Yetkin
Abstract
It was aimed to examine pre-service teachers’ developing understandings of doing statistics within a practicum based micro teaching lesson study. It was focused on their understandings (i.e., content knowledge) of doing statistics as well as how they transform their understandings (i.e., content knowledge) into teaching practices (i.e., knowledge of student & knowledge of teaching) while designing and implementing lessons related to graphs. Three senior pre-service teachers participated in a two phase (university and school classroom) practicum based lesson study. Data were collected through lesson plans prepared by the pre-service teachers in groups, observations, field notes, semi-structured interviews and video and audio recordings of the group meetings and instructional implementations. They didn’t did not consider doing statistics as consisted of many inter-related components initially. Their understandings developed greatly as they designed lesson plans, discussed about the concepts and reflected on their lesson plans and instructional implementations. Their starting to put statistical questions into the centre of doing statistics became an important turning point affected their conceptions related to other themes (e.g., collecting data, interpreting graphs). It also observed several instances that their understandings related to doing statistics impacted their teaching practices. The changes observed could be attributed to several factors.
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- Garfield, J., & Ben-Zvi, D. (2004). Research on statistical literacy, reasoning, and thinking: issues, challenges, and implications. In D. Ben-Zvi & J. Garfield (Ed.), The challenge of developing statistical literacy, reasoning, and thinking (pp. 397-409). Kluwer Academic Publishers.
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- Green, J., & Blankenship, E. E. (2013). Primarily Statistics: Developing an Introductory Statistics Course for Pre-service Elementary Teachers. Journal of Statistics Education, 21(3), 1-21.https://doi.org/10.1080/10691898.2013.11889683.
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- Guskey, T. R. (2003). What makes professional development effective? Phi Delta Kappan, 84(10), 748-750.https://doi.org/10.1177/003172170308401007.
- Gürel, R. (2016). An investigation of middle school mathematics teachers’ knowledge fot teaching measures of central tendency and variation [Unpublished doctoral thesis]. Hacettepe Üniversitesi.
- Güven, B., Öztürk, T. & Özmen, Z.M. (2015). Examining the statistical process experiences of 8th grade students. Education and Science, 40(177), 343-363.http://dx.doi.org/10.15390/EB.2015.3313.
- Hacısalihoğlu-Karadeniz, M. (2016). Determining the data processing learning domain attainments of 5th grade students. Mediterranean Journal of Humanities, 6(1), 221-236. http://dx.doi.org/10.13114/MJH.2016119300.
- Hannigan, A., Gill, O., & Leavy, A. M. (2013). An investigation of prospective secondary mathematics teachers’ conceptual knowledge of and attitudes towards statistics. Journal of Mathematics Teacher Education, 16(6), 427–449.https://doi.org/10.1007/s10857-013-9246-3.
- Heaton, R. M., & Mickelson, W. T. (2002). The learning and teaching of statistical investigationing teaching and teacher education. Journal of Mathematics Teacher Education, 5(1), 35–59.https://doi.org/10.1023/A:1013886730487.
- Hiebert, J.,& Morris, A. K. (2012). Teaching, rather than teachers, as a path toward improving classroom instruction. Journal of Teacher Edu¬cation, 63, 92-102.https://doi.org/10.1177/0022487111428328.
- Hiebert, J., Morris, A. K. & Glass, B. (2003). Learning to learn to teach: An “experiment” model for teaching and teaching preparation in mathematics. Journal of Mathematics Teacher Education, 6, 201-222. https://doi.org/10.1023/A:1025162108648.
- Ijeh, S. B. (2012). How competent mathematics teachers develop pedagogical content knowledge in statistics teaching [Unpublished doctoral Dissertation]. University of Pretoria.
- Karatoprak, R. (2014). Assessing preservice mathematics teachers’ statistical reasoning [Unpublished master thesis]. Boğaziçi University.
- Koleza, E. &Kontogianni, A. (2016). Statistics in primary education in Greece: How ready are primary teachers?. D. Ben-Zvi,& K. Makar (Ed.), The Teaching and Learning of Statistics International Perspectives (p. 289-298). Springer.
- Leavy, A. (2006). Using data comparison to support a focus on distribution: Examining preserviceteachers’ understandings of distribution when engaged in statistical inquiry. Statistics Education Research Journal, 5(2), 89–114.
- MacGillivray, H. & Pereira-Mendoza, L. (2011). Teaching Statistical Thinking ThroughInvestigative Projects. C. Batanero, G. Burrill, and C. Reading (Ed.), Teaching Statistics in SchoolMathematics-Challenges for Teaching and Teacher Education: A Joint ICMI/IASE Study,(p.109-120). Springer.
- Makar, K., & Fielding-Wells, J. (2011). Teaching teachers to teach statistical investigations. In C. Batanero, G. Burrill, & C. Reading (Ed.), Teaching statistics in school mathematics – Challenges for teaching and teacher education: A joint ICMI/IASE study (pp. 347-358). Springer.
- Mercimek, O. (2013). Assessment of preservice mathematics teachers’ knowledge for teaching statistics [Doctoral Dissertation]. Middle East Technical University.
- Miles, M, B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded Sourcebook. (2nd ed). Thousand Oaks, CA: Sage
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