İLKÖĞRETİM 1 KADEME ÖĞRENCİLERİNİN MATEMATİKSEL ÖRÜNTÜLERİ ANALİZ ETME VE TAHMİNDE BULUNMA BECERİLERİNİN DEĞERLENDİRİLMESİ

Bu araştırmada ilköğretim birinci kademe öğrencilerinin matematiksel örüntüleri analiz etme ve tahminde bulunma becerileri incelenmektedir. Bu amaçla İlköğretim birinci kademe öğrencilerinin; (a) matematiksel örüntüleri analiz etme beceri düzeyleri kendilerine sunulan örüntünün yapısına göre farklılaşmakta mıdır? (b) matematiksel örüntüleri analiz etme beceri düzeyleri sınıf seviyelerine göre farklılaşmakta mıdır? (c) kullandıkları tahmin stratejileri nelerdir? (d) kullandıkları tahmin stratejilerinin sınıf seviyelerine göre dağılımı nasıldır? (e) kullandıkları tahmin stratejilerine ait başarı puanları sınıf seviyelerine göre farklılaşmakta mıdır? sorularına cevap aranmıştır. Araştırmada veri toplama aracı olarak 40 maddeden oluşan test kullanılmıştır. Araştırma sonuçları öğrencilerin hem geometrik hem de sayısal örüntülerde, örüntüleri ilerletmeleri beklenen görevlerde daha başarılı olduklarını göstermektedir. Her türlü örüntüde sınıflara bağlı olarak bir artış gözlenmiştir. Tahmin becerisi bakımından ise öğrencilerin en başarılı olduğu tahmin stratejisinin, işlemsel tahmin stratejileri içinde yer alan yuvarlama ve gruplandırma olduğu belirlenmiştir.

Anahtar Kelimeler:

Matematik Öğretimi, Örüntü, Tahmin, Beceri

EVALUATING THE SKILLS OF THE PRIMARY SCHOOL STUDENTS IN ANALYZING MATHEMATICAL PATTERNS AND MAKING PREDICTIONS

In this study, the skills of the primary school students in analyzing the mathematical patterns and making predictions were examined. So, answers for these questions were sought: a) Does the skill level of the primary school students in analyzing the mathematical patterns differ according to the structure of the pattern that is presented to them? b) Does the skill level of the primary school students in analyzing the mathematical patterns differ according to their class levels? c) Which prediction strategies do they use? d) What is the distribution of their prediction strategies according to their class level? e) Do their success points those belong to their prediction strategies differ according to their class levels? A test consisting of 40 items was used as the data gathering tool of the study. The research indicated that the students were more successful in the tasks where they were supposed to improve the patterns in both geometric and numeric patterns. It was observed that there was an increase in all sorts of patterns depending on the classes. It was also determined that the prediction strategy that the students succeeded in most was the strategy of rounding and grouping that is included in the operational prediction strategies in terms of prediction skill.

Keywords:

Mathematics Teaching, Pattern, Guessing, Skill,

PDF

___

BAROODY, A. J., GATZKE, M. R. (1991). The Estimation of Set Size by Potentially Gifted Kindergarten-age Children, Journal for Research in Mathematics Education, 22, 59-68.
BERRY R. Q. (1998). Computational Estimation Skills of Eighth Grade Students, Unpublished doctoral dissertations, Newport University
DOWKER, A. (1992). Computational Estimation Strategies of Professional Mathematicians, Journal for Research in Mathematics Education, 23, pp.45-55.
GEARY, D. C. (1994). Children’s Mathematical Development : Research and Practical Applications, Washington, DC; American Psychological Association.
HACISALİHOĞLU, H., MİRASYEDİOĞLU, S., AKPINAR, A. (2003). Matematik Öğretimi 1-5. Ankara: Asil Yayın Dağıtım.
HANSON, S.A., HOGAN P.T. (2000). Computational Estimation Skill of College Students, Journal for Research in Mathematics Education, vol.31, Issue4, p483.
HEINRICH, E.J. (1998). Characteristics and skills exhibited by middle school students in performing the tasks of computational estimation, Unpublished doctoral dissertations, Fordham University, New York.
MATH-CATs (The Mathematical Thinking Classroom Assesment Techniques) (2007). http://www.flaguide.org/extra/download/cat/math/math/math.pdf.11.11.2 007 tarihinde alınmıştır.
MEB, Talim ve Terbiye Kurulu Başkanlığı (2005). İlköğretim Matematik Dersi (1-5. Sınıflar) Öğretim Programı. Ankara.
MUNAKATA, M. (2002). Relationships Among Estimation Ability, Attitudes Toward Estimation, Category Width And Gender in Students of Grades 5- 11, Unpublished doctoral dissertations, Columbia University
NAEP, (2002). Mathematics Framework for the 2003 National Assessment of Educational Progress. Washington, DC: National Assessment Governing Board.
NCTM, (1989). Curriculum and Evaluation Standards for School Mathematics. Reston: Virginia.
NCTM, (2000). Principles and Standarts for School Mathematics. National Council of Teachers of Mathematics, Reston, VA.
O’DAFFER, P., (1979). A Case and Tecniques for Estimation : Estimation Experiences in Elementary School Mathematics-Essential not Extra , Arithmetic Teacher, 26(6), 46-51
RUBENTEIN, R., N. (1986), Varieties of Estimation, In H. L. Schoen & M. J. Zweng (Eds.),Estimation and mental computation: 1986 yearbook (pp. 16- 30). Reston, VA: National Council of Teachers of Mathematics.
RUSSELL, S.J. (1999). Mathematical reasoning in the elementary grades. In Lee V. Stiff (Ed.), Developing mathematical reasoning in grades K-12 / 1999 yearbook. Reston, Virginia: National Council of Teachers of Mathematics.
SOWDER, J. (1992). Estimation and Number Sense, In D.A. Grouws (Ed.), Handbook of research in mathematics teaching and learning (pp.371- 389). New York : Macmillan
T.D.K. (2005). Türkçe Sözlük, Ankara: Türk Dil Kurumu Yayınları; 549, 10. Baskı.
TIMSS, (2003). IEA’s TIMSS 2003 International Report on Achievement in the Mathematics Cognitive Domains: Findings from a Developmental Project International Association for the Evaluation of Educational Achievement. TIMSS & PIRLS International Study Lynch School of Education, Boston College.
UMAY, A. (2003). Matematiksel Muhakeme Yeteneği, Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 24, 234-243.
UMAY, A., KAF, Y.(2005). Matematikte Kusurlu Akıl Yürütme Üzerine Bir Çalışma, Hacettepe Üniversitesi Eğitim Fakültesi Dergisi 28: 188-195.
UMAY, A. (2007). Eski Arkadaşımız Okul Matematiğinin Yeni Yüzü, Ankara: Aydan Web Tesisleri.
EVALUATING THE SKILLS OF THE PRIMARY SCHOOL STUDENTS
IN ANALYZING MATHEMATICAL PATTERNS AND MAKING PREDICTIONS