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MATEMATİK ÖGRETMENİ ADAYLARININ RUTİN OLMAYAN MATEMATİKSEL PROBLEMLERİ ÇÖZME BECERİLERİ VE BU KONUDAKİ DÜSÜNCELERİ

MATHEMATICS TEACHER TRAINEES’ SKILLS AND OPINIONS ON SOLVING NON-ROUTINE MATHEMATICAL PROBLEMS

Journal Name:

  • Eğitimde Kuram ve Uygulama Dergisi

Publication Year:

  • 2008

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Problem solving is one of the most important subjects for Mathematics Educators. The subject of this study is problem solving and the non-routine mathematical problem solving competences and opinions on problem solving of mathematics teacher trainees. The study was carried out with 61 mathematics teacher trainees. The study group was given problem solving instruction for 4 hours a week throughout 8 weeks. Pre, post, and retention tests were conducted and participants’ ideas on problem solving were determined. Statistical analysis of the study revealed that the instruction increased the trainees’ success of problem solving at different levels and that simplifying the problem, looking for a pattern, reasoning, writing a diagram, making a systematic list, guessing and checking, and working backwards, respectively were affected the most. In addition to the separation of successful and unsuccessful participants, it was observed that the strategies of reasoning, working backwards, writing a diagram, making a table and simplifying the problem, respectively had a big impact. The analysis also confirmed that 80% of the problem solving success could be explained by the problem solving strategies. Teacher trainees stated that the study widened their perspectives, developed their self confidence, presented them with new ideas on how to study systematically, and, thanks to the study, they also recognized that there might be a mathematical order even in complex events.
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Abstract (Original Language): 
Bu çalısmanın amacı, matematik ögretmen adaylarının rutin olmayan matematiksel problemleri çözme becerilerini ve bu tür problemler ile bunları çözmede kullanılan stratejilere iliskin düsüncelerini incelemektir. Matematik ögretmeni adayı olan ve 61 ögrenciden olusan çalısma grubuna haftada 4 saat olmak üzere ve toplam 7 hafta süre ile problem çözme ögretimi dersleri verilmistir; ön test, son test ve kalıcılık testi uygulanmıstır; ögrencilerin problem çözme konusundaki düsünceleri tespit edilmistir. &statistiksel analizler, stratejilerin ögretilmesinde yapılan ögretimin farklı düzeylerde etkili oldugunu ve sırayla problemi basitlestirme, örüntü arama, muhakeme etme, diyagram çizme, sistematik liste yapma, tahmin ve kontrol, geriye dogru çalısma stratejilerinin çok etkilendigini ortaya koymustur. Ayrıca, problem çözmede basarılı-basarısız ayırımı yapmada sırayla muhakeme etme, geriye dogru çalısma, diyagram çizme, tablo yapma ve problemi basitlestirme stratejilerinin güçlü etkiye sahip oldukları görülmüstür. Yapılan regresyon analizi, problem çözme stratejilerinin problem çözme basarısını %80 açıklayabildigini ortaya koymustur. Ögretmen adayları; çalısmanın problemlere bakıs açılarını ve güven duygusunu gelistirdigini, sistematik çalısmayı ögrettigini, çalısma sayesinde karmasık olayların içinde bile bir matematiksel düzen oldugunu fark ettiklerini belirtmislerdir.
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  • English

REFERENCES

References: 

Altun, M. (2006). Teacher trainees’ skills and opinions on solving non-routine
mathematical problems, paper presented at the International
Conference on Teaching of Mathematics 3 (ICTM3), &stanbul, 30 June-
5 July.
Cai, J. (2003). Singaporean students mathematical thinking in problem solving
and problem posing: An exploratory study. International Journal of
Mathematical Education in Science and Technology, 34(5), 719-737.
De Corte, E. (2004). Mainstreams and perspectives in research on learning
(mathematics) from instruction, Applied Psychology, 2(53), 279-310.
De Hoys, M., Gray, E., & Simpson, A. (2002). Students assumptions during
problem solving, paper presented at the 2nd International Conference on
the Teaching of Mathematics, Crete, July.
De Mesquita, P. B., & Drake, J. C. (1994). Educational reform and selfefficacy
beliefs of teachers implementing nongraded primary school
programs. Teaching and Teacher Education, 10(3), 291-302.
Enochs, L. G., Smith, P. L., & Huinker, D. (2000). Establishing factorial
validity of the mathematics teaching efficacy beliefs instrument. School
Science and Mathematics, 100(4), 194-202.
Fitzpatrick, C. (1994). Adolescent mathematical problem solving: The role of
metacognition, strategies and beliefs, paper presented at the Annual
Meeting of the American Educational Research Association, New
Orleans, LA, April.
Follmer, R. (2000). Reading, mathematics and problem solving: The effects of
direct instruction in the development of fourth grade students’ strategic
reading and problem solving approaches to textbased, nonroutine
mathematical problems, Unpublished Doctoral Thesis (Ed.D.),
University of Widener, Chester PA.
Gravemeijer, K., Hauvel M. V., & Streefland, L. (1990). Context free
productions test and geometry in Realistic Mathematics Education.
Netherlands: State University of Utrecht.
Higgins, K. M. (1997). The effect of long instruction in mathematical problem
solving on middle school students’ attitudes, beliefs and abilities.
Journal of Experimental Education, 66(1), 5-24.
Kaur, B. (2001). Singapore’s school mathematics curriculum for the 21th
century, paper presented at the Meeting of Qualifications and
Curriculum Authority on the Reasoning Explanation and Proof in
School Mathematics and Their Place in the Intended Curriculum,
Cambridge, October.
Marschall, S. P. (1988). Assessing problem solving: A short-term remedy and
a long term solution., in R. Charles and E. Silver (Ed.), The Teaching
and Assessing of Mathematical Problem Solving. Research Agenda for
Mathematics Education Series, Volume 3. Reston: National Council of
Teachers of Mathematics.
Nancarrow, M. (2004). Exploration of metacognition and non-routine problem
based mathematics instruction on undergraduate student problem
solving success. Unpublished Doctoral Thesis (Ph.D.), The Florida
State University, Florida.
Pape, Stephen J., & Wang, C. (2003). Middle school children’s strategic
behavior: classification and relation to academic achievement and
mathematical problem solving, Instructional Science, 31, 419-449.
Pugalee, D. K. (2001). Writing, mathematics and metacognition: Looking for
connections through students’ work in mathematical problem solving.
School Science and Mathematics, 101(8), 236-245.
Santos-Trigo, M. (1998). Instructional qualities of a successful mathematical
problem solving class. International Journal of Mathematical
Education in Science and Technology, 29(5), 631-646.
Verschaffel, L., De Corte, E., Lasure, S., Vaerenbergh, Bogaerts, H., &
Ratinckx, E. (1999). Learning to solve mathematical application
problems: A design experiment with fifth graders. Mathematical
Thinking and Learning, 1(3), 195-229.

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