Öğretmen Adaylarında Matematiksel Düşünmenin Gelişimi

Ürüne dönük düşünme, insanı diğer canlılardan ayıran en belirgin özelliğidir. Ancak her düşünce yararlıdır demek pek doğru bir varsayım olmaz. Düşüncenin yararlılığı, gereksinimlerin karşılanmasında kullanımı ve problemlerin çözümünde üretken olması ile ölçülür. Bu nitelikteki düşünmeye, kısaca Matematiksel Düşünme (MD) denir. Çalışma, özellikle matematik öğretmen adaylarının MD gelişimini ölçmeye yönlendirilmiştir. Araştırma iki aşamadan oluşmaktadır. İlk aşamada deneklerin MD gelişimini ölçme amaçlı araç geliştirilmiştir. İkinci aşamada ise oluşturulan ölçme aracı deneklere uygulanmış ve onların çözüm yaklaşımları, MD ölçütlerine uygun biçimde sınıflandırılarak değeThinking aiming at the product is the most prominent characteristic of the human from other living. However, it may not be true assumption that all thinking is useful. The useful of thinking is assessed with using in the meet a need and being a productive in the solution of problems. Thinking in this quality is shortly defined mathematical thinking (MT). The study is especially directed to assess the development of MT of prospective mathematics teachers. The study is formed of two stages. In the first stage, an instrument is developed to assess the development of MT of participants. In the second stage, the instrument formed is carried out the participants and their MT is assessed by classifying to the MT criterions. The conclusions of the analysis are revealed that the developing of MT of participants is low level. Among the group are observed scientific differences.Matematiksel Düşünme MD , Bireylerin MD gelişimiMathematicalTthinking MT, The developing of MT of participants Tam Metin

Anahtar Kelimeler:

Matematiksel Düşünme MD , Bireylerin MD gelişimi

Development of Mathematical Thinking in The Student Teachers

Thinking aiming at the product is the most prominent characteristic of the human from other living. However, it may not be true assumption that all thinking is useful. The useful of thinking is assessed with using in the meet a need and being a productive in the solution of problems. Thinking in this quality is shortly defined mathematical thinking (MT). The study is especially directed to assess the development of MT of prospective mathematics teachers. The study is formed of two stages. In the first stage, an instrument is developed to assess the development of MT of participants. In the second stage, the instrument formed is carried out the participants and their MT is assessed by classifying to the MT criterions. The conclusions of the analysis are revealed that the developing of MT of participants is low level. Among the group are observed scientific differences.

Keywords:

MathematicalTthinking MT, The developing of MT of participants,

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Biltzer, R. (2003), Thinking Mathematically, New Jersey 07458, Prentice Hall.
Bukova E., Alkan H. (2003), Matematik Öğretiminde Öğrencilerde Matematiksel Gücün Gelişimine Yönelme, XII. Eğitim Bilimleri Kongresi, 15-19-Ekim2003, Gazi. Üniversitesi, Antalya.
Dunlap J. (2001), Mathematical Thinking, (2003, Kasım 4)
Ferri, R.B. (2003), Mathematical Thinking Styles- An Empirical Study, European Research in Mathematics Education III, CERME-3 (2004, Haziran 18).
Greenwood J. J. (1993), Teaching and Assessing Mathematical Power and Mathematical Thinking, The Aritmetic Teacher, Nov 1993, 41,3: ProQuest Education Complete pg.144.
Henderson, P.B., Baldwin, D. (2001), et al, ‘‘Striving for Mathematical Thinking,’’ ITiCSE 2000 Working Group Report, SIGCSE Bulletin - Inroads, Vol. 33, No. 4, Dec, pp. 114-124.
Liu P. H (1996), Do teachers need to incorporate the history of mathematics in their teaching?, The Mathematics Teacher. Reston: Sep .Vol.96, Iss. 6; pg. 416.
Mason J., Burton L., Stacey K. (1985), Thinking Mathematically, Bristol, AddisonWesley Publishing Company.
Özden Y. (1998), Öğrenme ve Öğretme. Ankara: Önder Matbaası.
Polya G. (1990), How to Solve It ANew Aspects of Mathematical Method, Londra, England: Penguin Books.
Sevgen, B. (2002), Matematiksel Düşünce Yapısı ve Gelişimi, V. Ulusal Fen Bilimleri ve Matematik Eğitimi kongresi, 16-18-Eylül-2002, Ortadoğu Teknik Üniversitesi, Ankara.
Tall, D.(1995), Cognitive Growth in Elementary and Advenced Mathematical Thinking, Proceedings of the International Conference for the Psychology of Mathematics Education, Recife, Brazil: I, 161-175.
Mathematical Thinking The Definitions of Burton (1984) and Drayfus (1984) (2003, Kasım 4)