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İlköğretim Matematik Öğretmen Adaylarının Problem Çözmeye Dair Pedagojik Alan Bilgilerinin Sınıf İçi Gözlem ve Görüşme Yoluyla Belirlenmesi

Cilt: 25 Sayı: 4 15 Temmuz 2017
Belma Türker Biber , Ebru Aylar , Zeynep Sonay Ay , Oylum Akkuş İspir
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Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations

Öz

This is a case study aimed at determining pre-service primary school mathematics teachers’ pedagogical content knowledge of problem solving through interviews and in-class practice observations. This study also attempts to compare and contrast the data obtained from two different data sources to reveal any similarity and inconsistency, if there is any. The study group includes 13 senior students studying at the department of primary school mathematics education of a state university located in Ankara province. Semi-structured interview and inclass observation were employed for data collection. Taking into account their responses about the influence of problem solving on learning, the role it plays in mathematics education, and to what extent problem solving should be focused on during the teaching process, it is clear that the pre-service teachers criticize traditional approach and stay close to instruction via problem solving. However, this study also indicated that contrary to what they asserted, the pre-service teachers employed problem solving with a focus on results. 

Anahtar Kelimeler

Pre-service primary school mathematics teachers,pedagogical content knowledge,problem solving,problem solving practices

Kaynakça

  1. Bodner, G. M., & Domin, D. S. (2000). Mental models: the role of representations in prob-lem solving in chemistry. University Chemistry Education, 4(1), 24-30.
  2. Carpenter, T. P., Fennema, E., Peterson, P. L., & Carey, D. A. (1988). Teachers' Pedagogical Content Knowledge of Students' Problem Solving in Elementary Arithmetic. Journal for Research in Mathematics Education, 19(5), 385 - 401.
  3. English, L., Lesh, R., & Fennewald, T. (2008). Future directions and perspectives for problem solving research and curriculum development. Paper presented at the 11th International Congress on Mathematical Education, Monterrey, Mexico.
  4. Garofalo, J., & Lester, F. K. (1985). Metacognition, cognitive monitoring, and mathematical performance. Journal for Research in Mathematics Education, 16(163-176).
  5. Goffin, S. G., & Tull, C. Q. (1985). Problem solving: Encouraging active learning. Young Children, 40, 28-32.
  6. Hayes, J. (1980). The complete problem solver. Philadelphia: The Franklin Institute.
  7. Hiebert, J., Carpenter , T. P., Fennema, E., Fuson, K., Human, P., Murray, H., . . . Wearne, D. (1997). Making mathematics problematic: A rejoinder to Prawat and Smith. Educational Researcher, 26(2), 24-26.
  8. Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics: Mathematics Learning Study Committee: National Research Council. .
  9. Krulik, S., & Rudnick, J. A. (1989). Problem Solving: a handbook for senior high school teachers: Allyn and Bacon.
  10. Lesh, R., & Zawojewski, J. S. (2007). Problem solving and modeling. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 763–804). Greenwich, CT: Information Age Publishing.

Kaynak Göster

APA
Türker Biber, B., Aylar, E., Ay, Z. S., & Akkuş İspir, O. (2017). Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations. Kastamonu Education Journal, 25(4), 1483-1498. https://doi.org/10.24106/kefdergi.332494
AMA
1.Türker Biber B, Aylar E, Ay ZS, Akkuş İspir O. Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations. Kastamonu Eğitim Dergisi. 2017;25(4):1483-1498. doi:10.24106/kefdergi.332494
Chicago
Türker Biber, Belma, Ebru Aylar, Zeynep Sonay Ay, ve Oylum Akkuş İspir. 2017. “Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations”. Kastamonu Education Journal 25 (4): 1483-98. https://doi.org/10.24106/kefdergi.332494.
EndNote
Türker Biber B, Aylar E, Ay ZS, Akkuş İspir O (01 Temmuz 2017) Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations. Kastamonu Education Journal 25 4 1483–1498.
IEEE
[1]B. Türker Biber, E. Aylar, Z. S. Ay, ve O. Akkuş İspir, “Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations”, Kastamonu Eğitim Dergisi, c. 25, sy 4, ss. 1483–1498, Tem. 2017, doi: 10.24106/kefdergi.332494.
ISNAD
Türker Biber, Belma - Aylar, Ebru - Ay, Zeynep Sonay - Akkuş İspir, Oylum. “Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations”. Kastamonu Education Journal 25/4 (01 Temmuz 2017): 1483-1498. https://doi.org/10.24106/kefdergi.332494.
JAMA
1.Türker Biber B, Aylar E, Ay ZS, Akkuş İspir O. Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations. Kastamonu Eğitim Dergisi. 2017;25:1483–1498.
MLA
Türker Biber, Belma, vd. “Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations”. Kastamonu Education Journal, c. 25, sy 4, Temmuz 2017, ss. 1483-98, doi:10.24106/kefdergi.332494.
Vancouver
1.Belma Türker Biber, Ebru Aylar, Zeynep Sonay Ay, Oylum Akkuş İspir. Pre-Service Primary School Mathematics Teachers’ Pedagogical Content Knowledge Of Problem Solving Through Interviews and In-Class Practice Observations. Kastamonu Eğitim Dergisi. 01 Temmuz 2017;25(4):1483-98. doi:10.24106/kefdergi.332494