Yıl 2018, Cilt 9, Sayı 2, Sayfalar 211 - 248 2018-08-29

A Theoretical Examination of the Mathematical Connection Skill: The Case of the Concept of Derivative
Matematiksel İlişkilendirme Becerisinin Kuramsal Boyutta İncelenmesi: Türev Kavramı Örneği

Hayal Yavuz Mumcu [1]

138 230

The aim of this study is to explore and interpret the mathematical connection skills of pre-service teachers within the context of the concept of derivative. In this regard, firstly the mathematical connection skill was analyzed theoretically, and an attempt was made to establish a theoretical structure that can be used in the evaluation of this skill. Then the Connection Skill Test (CST), developed by the researcher, was applied to the students in the study group composed of 51 people selected from among senior students of the Faculty of Education of a state university in Turkey. Four basic components of the test are as follows: connection between different representations, connection between concepts, connection with real life, and connection with different disciplines. The findings of the study indicate that most of the pre-service teachers have some rote-learning based pieces of knowledge from textbooks with regards to the concept of derivative, but they cannot, to a large extent, understand and use them in connection with each other. For a more meaningful and relational understanding of mathematics, it is suggested for mathematics educators to focus on conceptual understanding and include activities and practices that will enable concepts to be learned meaningfully and in connection with real life in their classes.

Bu çalışmanın amacı öğretmen adaylarının matematiksel ilişkilendirme becerilerinin türev kavramı bağlamında ele alınarak yorumlanmasıdır. Bu kapsamda öncelikle matematiksel ilişkilendirme becerisi kuramsal olarak analiz edilerek bu becerinin değerlendirilmesinde kullanılabilecek bir kuramsal yapı oluşturulmaya çalışılmıştır. Daha sonra ise bir devlet üniversitesinin eğitim fakültesi son sınıf öğrencilerinden seçilen ve 51 kişiden oluşan matematik öğretmen adaylarına araştırmacı tarafından geliştirilmiş olan İlişkilendirme Beceri Testi (İBT) uygulanmıştır. İlişkilendirme Beceri Testi’nin temel bileşenleri farklı gösterimler arası ilişkilendirme, kavramlar arası ilişkilendirme, gerçek yaşamla ilişkilendirme ve farklı disiplinlerle İlişkilendirme olarak ifade edilebilir.  Çalışma sonucunda öğretmen adaylarının genel olarak türev kavramına yönelik ders kitaplarında yer alan ezberi bir takım bilgilere sahip oldukları fakat bu bilgileri birbiri ile ilişkili olarak anlamlandırmakta ve kullanmakta güçlük çektikleri gözlenmiştir.  Matematiğin daha anlamlı ve ilişkisel olarak öğrenilmesi anlamında, matematik eğitimcilerinin sınıflarında, kavramsal anlamaya odaklanmaları ve kavramların anlamlı öğrenilmesini ve gerçek yaşamla ilişkilendirilebilmesini sağlayacak etkinlik ve uygulamalara yer vermeleri önerilmiştir.

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Birincil Dil tr
Konular Sosyal ve Beşeri Bilimler
Dergi Bölümü Araştırma Makaleleri
Yazarlar

Orcid: 0000-0002-6720-509X
Yazar: Hayal Yavuz Mumcu (Sorumlu Yazar)
Ülke: Turkey


Bibtex @araştırma makalesi { turkbilmat379891, journal = {Turkish Journal of Computer and Mathematics Education (TURCOMAT)}, issn = {}, eissn = {1309-4653}, address = {Türkbilmat Eğitim Hizmetleri}, year = {2018}, volume = {9}, pages = {211 - 248}, doi = {10.16949/turkbilmat.379891}, title = {Matematiksel İlişkilendirme Becerisinin Kuramsal Boyutta İncelenmesi: Türev Kavramı Örneği}, key = {cite}, author = {Yavuz Mumcu, Hayal} }
APA Yavuz Mumcu, H . (2018). Matematiksel İlişkilendirme Becerisinin Kuramsal Boyutta İncelenmesi: Türev Kavramı Örneği. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 9 (2), 211-248. DOI: 10.16949/turkbilmat.379891
MLA Yavuz Mumcu, H . "Matematiksel İlişkilendirme Becerisinin Kuramsal Boyutta İncelenmesi: Türev Kavramı Örneği". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 9 (2018): 211-248 <http://dergipark.gov.tr/turkbilmat/issue/38960/379891>
Chicago Yavuz Mumcu, H . "Matematiksel İlişkilendirme Becerisinin Kuramsal Boyutta İncelenmesi: Türev Kavramı Örneği". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 9 (2018): 211-248
RIS TY - JOUR T1 - Matematiksel İlişkilendirme Becerisinin Kuramsal Boyutta İncelenmesi: Türev Kavramı Örneği AU - Hayal Yavuz Mumcu Y1 - 2018 PY - 2018 N1 - doi: 10.16949/turkbilmat.379891 DO - 10.16949/turkbilmat.379891 T2 - Turkish Journal of Computer and Mathematics Education (TURCOMAT) JF - Journal JO - JOR SP - 211 EP - 248 VL - 9 IS - 2 SN - -1309-4653 M3 - doi: 10.16949/turkbilmat.379891 UR - http://dx.doi.org/10.16949/turkbilmat.379891 Y2 - 2018 ER -
EndNote %0 Turkish Journal of Computer and Mathematics Education (TURCOMAT) Matematiksel İlişkilendirme Becerisinin Kuramsal Boyutta İncelenmesi: Türev Kavramı Örneği %A Hayal Yavuz Mumcu %T Matematiksel İlişkilendirme Becerisinin Kuramsal Boyutta İncelenmesi: Türev Kavramı Örneği %D 2018 %J Turkish Journal of Computer and Mathematics Education (TURCOMAT) %P -1309-4653 %V 9 %N 2 %R doi: 10.16949/turkbilmat.379891 %U 10.16949/turkbilmat.379891
ISNAD Yavuz Mumcu, Hayal . "Matematiksel İlişkilendirme Becerisinin Kuramsal Boyutta İncelenmesi: Türev Kavramı Örneği". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 9 / 2 (Ağustos 2018): 211-248. http://dx.doi.org/10.16949/turkbilmat.379891