PROSPECTIVE TEACHERS’ KNOWLEDGE OF CONNECTIONS AMONG EXTERNAL REPRESENTATIONS IN THE CONTEXT OF PROPORTIONALITY
Öz
Mathematics not only consists of procedures, symbols or operations, but
also involves connections, representations, problem solving, reasoning and
proof, communication, and conceptual understanding. Learners should make
necessary connections among mathematical concepts and representations in order
to develop deep mathematical understandings. For this reason, this study aims
to explore prospective middle school mathematics teachers’ views about
mathematical connections and their knowledge of connections among external
representations in the context of proportionality. Multiple case study was used
as a research design and the participants were three prospective middle school
teachers enrolled in a teacher education program at a public university in the
inner region of Turkey. Data were collected through semi-structured interviews,
note taking, and written tasks. The
findings of the study suggested that prospective teachers viewed connections
mainly as a link between different mathematical topics or concepts, as a link
between mathematics and daily life, and as a tool for improving students’
understanding of mathematics. Moreover, prospective teachers were able to
translate easily among different representations. However, the translations
were carried out without conceptual understanding. Besides, participants had limited understanding of
proportionality in the case of graphical representations.
Anahtar Kelimeler
Kaynakça
- Adjiage, R., & Pluvinage, F. (2007). An experiment in teaching ratio and proportion. Educational Studies in Mathematics, 65(2), 149-175.
- Adu-Gyamfi, K., Bossé, M. J., & Chandler, K. (2017). Student connections between algebraic and graphical polynomial representations in the context of a polynomial relation. International Journal of Science and Mathematics Education, 15(5), 915-938.
- Akkuş, O., & Duatepe Paksu, A. (2006). Orantısal akıl yürütme becerisi testi ve teste yönelik dereceli puanlama anahtarı geliştirilmesi. Eurasian Journal of Educational Research, 25, 1-10.
- Ayan, R., & Bostan, M. I. (2016). Middle school students’ reasoning in nonlinear proportional problems in geometry. International Journal of Science and Mathematics Education, Online first, 1-16.
- Baykul, Y. (2009). İlköğretimde matematik öğretimi (6-8. sınıflar). Ankara: Pegem Akademi Publishing.
- Chapman, O. (2006). Classroom practices for context of mathematics word problems. Educational Studies in Mathematics, 62, 211-230.
- Christensen, L. B., Johnson, R. B., & Turner, L. A. (2013). Research methods: Design and analysis. Boston: Pearson.
- Common Core State Standards Initiative (CCSSI). (2010). Common core state standards for mathematics. Washington, DC: National Governors Association Center for Best Practices and the Council of Chief State School Officers.
Ayrıntılar
Birincil Dil
Türkçe
Konular
Eğitim Üzerine Çalışmalar
Bölüm
Araştırma Makalesi
Yazarlar
Ramazan Avcu
*
Yayımlanma Tarihi
31 Aralık 2017
Gönderilme Tarihi
10 Aralık 2017
Kabul Tarihi
31 Aralık 2017
Yayımlandığı Sayı
Yıl 2017 Cilt: 2 Sayı: 2

