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İLKÖĞRETİM MATEMATİK ÖĞRETMENİ ADAYLARININ STANDART OLMAYAN DÖRT İŞLEM PROBLEMLERİNE GERÇEKÇİ OLMAYAN YANITLAR VERMELERİNİN GERÇEKÇİ NEDENLERİ: TÜRKİYE ÖRNEĞİ

Year 2017, Volume: 14 Issue: 37, 0 - 0, 01.03.2017

Abstract

Problem
türlerinden önemli bir problem türü de standart olmayan dört işlem
problemleridir. Bu türden problemler önemli olmalarına rağmen, pek insan bu
türden problemlerin çözümlerinde sorunlar yaşamaktadır. Bu çalışmanın amacı,
ilköğretim matematik öğretmeni adaylarının standart olmayan problemlere
verdikleri gerçekçi olmayan yanıtların nedenlerini ve yaşanılan soruna yönelik
olarak çözüm önerilerini belirlemektir. 126 matematik öğretmen adayına 12 tane
standart olmayan dört işlem problemi verilmiş ve bunları çözmeleri istenmiştir.
Daha sonra bu öğretmen adayları arasından bu türden problemlere gerçekçi
yanıtlar veremeyen 12 gönüllü öğretmen adayı ile de klinik görüşmeler
gerçekleştirilmiştir. Araştırmadan elde edilen sonuçlara bakıldığında, okul
kültürü, problem durumunu yorumlama, problem çözme etkinlikleri ile ilgili
algı, matematiğe olan inanç, önceki deneyim ve Türkiye’deki sınav sistemi gibi
nedenlerden dolayı standart olmayan dört işlem problemlerine gerçekçi olmayan
yanıtlar verildiği belirlenmiştir. Sonuçlara bakıldığında gerçekçi problem
çözememe nedenlerinin doğrudan problem çözme ile ilgili nedenler ve doğrudan
problem çözme ile ilgili olmayan nedenler olduğu göze çarpmaktadır. 

References

  • Artut, P. D. and Tarım, K. (2009). Öğretmen adaylarının rutin olmayan sözel problemleri çözme süreçlerinin incelenmesi.(Investıgatıon of the prospective teachers’ problem solving process in the nonroutine word problems . Uludag University Education Faculty Journal 12, no.1: 53-70.
  • Chapman, O. (2003). Teachers' conceptions of mathematical word problems: A Basis for professional development. Paper presented at the 27th international group for the psychology of mathematics education conference held Jointly with the 25th PME-NA conference, July 13-18, in Honolulu, USA.
  • Gay, L.R., Mills, G.,E. and Airasian, P. (2006). Educational research: Competencies for analysis and applications (8th Edt.). Upper Saddle River, N.J.: Pearson Merrill Prentice Hall.
  • Goldin,G. A. (2000). A scientific perspective on structured, task-based interviews in mathematics education research. Handbook of research design in mathematics and science education, ed. A. E. Kelly and R. A. Lesh, 517-545. London: Lawrence Erlbaum Associates Publishers.
  • Gravemeijer, K. (1997). Commentary solving word problems: A case of modelling?. Learning and Instruction 7, no.4:389-397.
  • Greer, B. (1993). The modelling perspective on wor(l)d problems. Journal of Mathematical Behavior, 12: 239-250.
  • Souviney, R. J. (1994). Learning to teach mathematics. Second edition. Englewood Cliffs: Macmillan Publishing Company.
  • Verschaffel, L., De Corte, E. and Lasure, S. (1994). Realistic considerations in mathematical modelling of school arithmetic word problems. Learning and Instruction. 4:273-294.
  • Verschaffel, L, De Corte,,E. and Borghart, I. (1997). Pre-service teachers’ conceptions and beliefs about the role of real-world knowledge in mathematical modelling of school word problems. Learning and Instruction. 7, no.4: 339-359.
  • Wyndhamn, J. and Saljö, R. (1997). Word problems and mathematical reasoning. A study of children’s mastery of reference and meaning in textual realities. Learning and Instruction. 7, no.4:361-382.
  • Yoshida, H., Verschaffel, L. and De Corte, E. (19979. Realistic considerations in solving problematic word problems: Do Japanese and Belgian children have the same difficulties? Learning and Instruction. 7, no.4:329-338.

THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY

Year 2017, Volume: 14 Issue: 37, 0 - 0, 01.03.2017

Abstract

Non-standard
word problems are very imporatant mathematical problems. Although its
importance many people have issues about that kind of problems. In this study
it was aimed to find out the reasons of future mathematics teacher students
unrealistic solutions in solving non-standard word problems and their
suggestions for overcoming this issue. A paper-pencil test consisting of 12
non-standard problems were implemented 126 pre-service primary school
mathematics teachers and based on their solutions, after main data collection
task-based interviews were conducted with 12 teacher trainees volunteered.
According to the findings of the study culture of schooling, interpretation of
problem situation, perceptions of problem solving activities, beliefs in
mathematics, previous experience and Turkish exam system were found to be the main
reasons for not excluding reality while solving non-standard word problems. According
to results of the study it can be concluded that the reasons for unrealistic
solutions were related problem solving process and not related problem solving
process.

References

  • Artut, P. D. and Tarım, K. (2009). Öğretmen adaylarının rutin olmayan sözel problemleri çözme süreçlerinin incelenmesi.(Investıgatıon of the prospective teachers’ problem solving process in the nonroutine word problems . Uludag University Education Faculty Journal 12, no.1: 53-70.
  • Chapman, O. (2003). Teachers' conceptions of mathematical word problems: A Basis for professional development. Paper presented at the 27th international group for the psychology of mathematics education conference held Jointly with the 25th PME-NA conference, July 13-18, in Honolulu, USA.
  • Gay, L.R., Mills, G.,E. and Airasian, P. (2006). Educational research: Competencies for analysis and applications (8th Edt.). Upper Saddle River, N.J.: Pearson Merrill Prentice Hall.
  • Goldin,G. A. (2000). A scientific perspective on structured, task-based interviews in mathematics education research. Handbook of research design in mathematics and science education, ed. A. E. Kelly and R. A. Lesh, 517-545. London: Lawrence Erlbaum Associates Publishers.
  • Gravemeijer, K. (1997). Commentary solving word problems: A case of modelling?. Learning and Instruction 7, no.4:389-397.
  • Greer, B. (1993). The modelling perspective on wor(l)d problems. Journal of Mathematical Behavior, 12: 239-250.
  • Souviney, R. J. (1994). Learning to teach mathematics. Second edition. Englewood Cliffs: Macmillan Publishing Company.
  • Verschaffel, L., De Corte, E. and Lasure, S. (1994). Realistic considerations in mathematical modelling of school arithmetic word problems. Learning and Instruction. 4:273-294.
  • Verschaffel, L, De Corte,,E. and Borghart, I. (1997). Pre-service teachers’ conceptions and beliefs about the role of real-world knowledge in mathematical modelling of school word problems. Learning and Instruction. 7, no.4: 339-359.
  • Wyndhamn, J. and Saljö, R. (1997). Word problems and mathematical reasoning. A study of children’s mastery of reference and meaning in textual realities. Learning and Instruction. 7, no.4:361-382.
  • Yoshida, H., Verschaffel, L. and De Corte, E. (19979. Realistic considerations in solving problematic word problems: Do Japanese and Belgian children have the same difficulties? Learning and Instruction. 7, no.4:329-338.
There are 11 citations in total.

Details

Primary Language English
Journal Section Araştırma Makaleleri
Authors

Çiğdem Kılıç

Publication Date March 1, 2017
Published in Issue Year 2017 Volume: 14 Issue: 37

Cite

APA Kılıç, Ç. (2017). THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, 14(37).
AMA Kılıç Ç. THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi. March 2017;14(37).
Chicago Kılıç, Çiğdem. “THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY”. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi 14, no. 37 (March 2017).
EndNote Kılıç Ç (March 1, 2017) THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi 14 37
IEEE Ç. Kılıç, “THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY”, Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, vol. 14, no. 37, 2017.
ISNAD Kılıç, Çiğdem. “THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY”. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi 14/37 (March 2017).
JAMA Kılıç Ç. THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi. 2017;14.
MLA Kılıç, Çiğdem. “THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY”. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi, vol. 14, no. 37, 2017.
Vancouver Kılıç Ç. THE REALISTIC REASONS FOR UNREALISTIC SOLUTIONS OF PRE-SERVICE PRIMARY SCHOOL MATHEMATICS TEACHERS IN NON-STANDARD WORD PROBLEMS: THE EXAMPLE FROM TURKEY. Mustafa Kemal Üniversitesi Sosyal Bilimler Enstitüsü Dergisi. 2017;14(37).

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