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Ortaokul Öğrencilerinin Sayı Duyularının Okul Türleri Açısından İncelenmesi

Year 2017, Volume: 5 Issue: 2, 250 - 262, 20.12.2017

Abstract

Matematik öğretiminde ana yapı taşlarından biri sayılardır. Sayı duyusu kavramı da yaklaşık otuz yıldır matematik eğitimi içerisinde olan bir kavramdır. Sayı duyusu sayıları etkili kullanma, esnek düşünme ile işlem yapabilme ve bu sayede farklı çözüm yolu stratejilerini kullanabilmedir. Bu çalışma ile öğrencilerin sayı duyusu becerilerinin okul türü yönünden farklılık gösterip göstermediğinin incelenmesi amaçlanmıştır. Çalışmada tarama yönteminden yararlanılmıştır. Çalışmanın örneklemini Batı Karadeniz Bölgesi’nde bir devlet ortaokulu, bir imam-hatip ortaokulu ve bir özel ortaokuldan yaşları 12 ile 13 arasında değişen toplam 110 yedinci sınıf öğrencisi oluşturmaktadır. Veri toplama aracı olarak 20 sorudan oluşan bir sayı duyusu testi kullanılmıştır. Veri toplama aracının geliştirilmesinde uzman görüşleri ve ilgili literatürden yararlanılmıştır. Veri toplama aracı ile elde edilen veriler sayı duyusu kullanımı ile çözüm, kural temelli çözüm, yanlış ya da boş cevap olarak üç kategoride sırasıyla 2, 1, 0 puan olarak değerlendirilmiştir. Ham puanlar ile tek faktörlü varyans analizi Anova yapılmıştır. Elde edilen bulgulardan öğrencilerin sayı duyularının okul türüne göre değişiklik gösterdiği sonucuna varılmıştır. Bu farklılık sayı duyusu becerilerinin çevresel faktörlerden etkilendiğini ortaya koymaktadır. Okullarda öğrencilerin sayı duyusu becerilerinin geliştirilmesine yönelik çalışmalar yapılması önerilmektedir

References

  • Anghileri, J. (2000). Teaching number sense. Continuum International Publishing Group: New York - London:
  • Berch, D. B. (2005). Making sense of number sense. Journal of Learning Disabilities, 38(4), 333-339.
  • Bond, T. G., ve Fox, C. M. (2007). Applying the Rasch model: Fundamental measurement in the human sciences (2nd ed.). Mahwah, NJ: Lawrence Erlbaum.
  • Carneiro, P. (2008). Equality of opportunity and educational achievement in Portugal. Portuguese Economic Journal, 7(1), 17-41.
  • Dehaene, S. (1997). The number sense: How the mind creates mathematics. Oxford University Press: New York.
  • Dunphy, E. (2007). The primary mathematics curriculum: enhancing its potential for developing young children's number sense in the early years at school. Irish Educational Studies, 26(1), 5-25.
  • Fiore, D. (2000). Positive school cultures: The importance of visible leaders, Contemporary Education, 71, 2-11.
  • Fisher, W. P., Jr. (1992). Stochastic resonance and Rasch measurement. Rasch Measurement Transactions, 5(4), 186- 187.
  • Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for research in mathematics education, 22(3), 170-218.
  • Hope, J. A. (1989). Promoting number sense in school. Arithmetic Teacher, 36 (6), 12-16.
  • Işık, A., Çiltaş, A. & Bekdemir, M. (2008). Matematik eğitimin gerekliliği ve önemi. Kazım Karabekir Eğitim Fakültesi Dergisi, 17, 174–184.
  • Karasar, N. (2009). Bilimsel araştırma yöntemi. kavramlar, ilkeler, teknikler (4. Basım). Nobel Yayın Dağıtım: Ankara.
  • Kayhan Altay, M. & Umay, A. (2013). İlköğretim ikinci kademe öğrencilerine yönelik sayı duyusu ölçeği’nin geliştirilmesi. Eğitim ve Bilim, 38(167), 241-255.
  • Linacre, J. M. (2007) How to Simulate Rasch Data. Rasch Measurement Transactions, 21(3), 1125.
  • Linacre, J.M. (2011). A user’s guide to WINSTEPS: Rasch model computer programs. MESA Pres: Chicago. http://www.winsteps.com/
  • McIntosh, A., Reys, B. J. & Reys, R. E. (1992). A proposed framework for examining basic number sense. For the Learning of Mathematics, 12(3), 2-44.
  • McIntosh, A., Reys, B., Reys, R., Bana, J. & Farrell, B. (1997). Number sense in school mathematics: Student performance in four countries. Mathematics Science and Technology Education Centre, Edith Cowan University.
  • National Council of Teachers of Mathematics (NCTM). (2000). The principles and standards for school mathematics. Reston, VA: NCTM.
  • National Council of Teachers of Mathematics. Commission on Standards for School Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.
  • Olkun, S., Mutlu, Y. & Sarı, M.H. (2017). The relationships between number sense and mathematics achievement. International Conference on Education and New Developments.
  • Reys, B. J. (1994). Promoting number sense in middle grades. Teaching Mathematics in the Middle School, 1 (2), 114- 120.
  • Reys, R. E. & Yang, D. C. (1998). Relationship between computational performance and number sense among sixth- and eighth-grade students in Taiwan. Journal for Research in Mathematics Education, 29 (2) 225-237.
  • Sowder, J. T. (1992). Estimation and number sense. In A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics. (ss. 371-389). New York: Macmillan.
  • Şengül, S. & Gülbağcı Dede, H., (2014). Matematik Öğretmenlerinin Sayı Hissi Problemlerini Çözerken Kullandıkları Stratejiler. Turkish Journal of Computer and Mathematics Education, 5(1), 73-88.
  • Umay, A. (2003). Matematiksel muhakeme yeteneği [Mathematical reasoning skill]. Hacettepe University Faculty of Education Journal, 24, 234-243.
  • Yang, D. C. & Hsu, C. J. (2009). Teaching number sense for 6th graders in Taiwan. International Electronic Journal of Mathematics Education, 4(2), 92-109.
  • Yang, D. C. (2005). Number sense strategies used by 6th grade students in Taiwan. Educational Studies, 31(3), 317- 333.
  • Yang, D. C. (2007). Investigating the strategies used by pre-service teachers in Taiwan when responding to number sense questions. School Science and Mathematics, 107(7), 293-301.
  • Yang, D. C., Reys, R. E., ve Reys, B. J. (2009). Number sense strategies used by pre-service teachers in Taiwan. International Journal of Science and Mathematics Education, 7(2), 383-403.

The Analysis of the Middle School Students' Number Sense According to the School Types

Year 2017, Volume: 5 Issue: 2, 250 - 262, 20.12.2017

Abstract

One of the main building blocks in mathematics teaching is the numbers. The concept of number sense is also a concept that has been in mathematics education for almost thirty years. The sense of number is to be able to use skillful numbers effectively, to be able to deal with flexible thinking, and to be able to use different solution strategies in this respect. In the literature there are studies on situation analysis related to the sense of number, the relationship between the number sense and other concepts, the studies aimed at improving the sense of numbers, and the detection studies related to the factors that affect this concept. This study aims to examine the students’ number sense according to school types. The study is a survey study. The study sample is consist of totally 110 students whose schools are state middle school, İmam Hatip middle school and private middle school at seventh grade in West Black sea region. Their age is changing between 12 and 13. Number sense test involving 20 questions is carried out as an instrument to gather data. Experts’ ideas and literature are benefited for the test. By using the instrument, the data were evaluated in three categories. These categories are the solution based on number sense, the solution based on rules and wrong or empty answer. These are evaluated 2, 1, 0 points in order. One way analysis of variance with raw scores is carried out. The findings show that there is a significant difference between average of the private school and the other two schools. It is thought that one of the reasons of differences in students is different environmental factors having an effect on the students’ number sense skills

References

  • Anghileri, J. (2000). Teaching number sense. Continuum International Publishing Group: New York - London:
  • Berch, D. B. (2005). Making sense of number sense. Journal of Learning Disabilities, 38(4), 333-339.
  • Bond, T. G., ve Fox, C. M. (2007). Applying the Rasch model: Fundamental measurement in the human sciences (2nd ed.). Mahwah, NJ: Lawrence Erlbaum.
  • Carneiro, P. (2008). Equality of opportunity and educational achievement in Portugal. Portuguese Economic Journal, 7(1), 17-41.
  • Dehaene, S. (1997). The number sense: How the mind creates mathematics. Oxford University Press: New York.
  • Dunphy, E. (2007). The primary mathematics curriculum: enhancing its potential for developing young children's number sense in the early years at school. Irish Educational Studies, 26(1), 5-25.
  • Fiore, D. (2000). Positive school cultures: The importance of visible leaders, Contemporary Education, 71, 2-11.
  • Fisher, W. P., Jr. (1992). Stochastic resonance and Rasch measurement. Rasch Measurement Transactions, 5(4), 186- 187.
  • Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for research in mathematics education, 22(3), 170-218.
  • Hope, J. A. (1989). Promoting number sense in school. Arithmetic Teacher, 36 (6), 12-16.
  • Işık, A., Çiltaş, A. & Bekdemir, M. (2008). Matematik eğitimin gerekliliği ve önemi. Kazım Karabekir Eğitim Fakültesi Dergisi, 17, 174–184.
  • Karasar, N. (2009). Bilimsel araştırma yöntemi. kavramlar, ilkeler, teknikler (4. Basım). Nobel Yayın Dağıtım: Ankara.
  • Kayhan Altay, M. & Umay, A. (2013). İlköğretim ikinci kademe öğrencilerine yönelik sayı duyusu ölçeği’nin geliştirilmesi. Eğitim ve Bilim, 38(167), 241-255.
  • Linacre, J. M. (2007) How to Simulate Rasch Data. Rasch Measurement Transactions, 21(3), 1125.
  • Linacre, J.M. (2011). A user’s guide to WINSTEPS: Rasch model computer programs. MESA Pres: Chicago. http://www.winsteps.com/
  • McIntosh, A., Reys, B. J. & Reys, R. E. (1992). A proposed framework for examining basic number sense. For the Learning of Mathematics, 12(3), 2-44.
  • McIntosh, A., Reys, B., Reys, R., Bana, J. & Farrell, B. (1997). Number sense in school mathematics: Student performance in four countries. Mathematics Science and Technology Education Centre, Edith Cowan University.
  • National Council of Teachers of Mathematics (NCTM). (2000). The principles and standards for school mathematics. Reston, VA: NCTM.
  • National Council of Teachers of Mathematics. Commission on Standards for School Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: NCTM.
  • Olkun, S., Mutlu, Y. & Sarı, M.H. (2017). The relationships between number sense and mathematics achievement. International Conference on Education and New Developments.
  • Reys, B. J. (1994). Promoting number sense in middle grades. Teaching Mathematics in the Middle School, 1 (2), 114- 120.
  • Reys, R. E. & Yang, D. C. (1998). Relationship between computational performance and number sense among sixth- and eighth-grade students in Taiwan. Journal for Research in Mathematics Education, 29 (2) 225-237.
  • Sowder, J. T. (1992). Estimation and number sense. In A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics. (ss. 371-389). New York: Macmillan.
  • Şengül, S. & Gülbağcı Dede, H., (2014). Matematik Öğretmenlerinin Sayı Hissi Problemlerini Çözerken Kullandıkları Stratejiler. Turkish Journal of Computer and Mathematics Education, 5(1), 73-88.
  • Umay, A. (2003). Matematiksel muhakeme yeteneği [Mathematical reasoning skill]. Hacettepe University Faculty of Education Journal, 24, 234-243.
  • Yang, D. C. & Hsu, C. J. (2009). Teaching number sense for 6th graders in Taiwan. International Electronic Journal of Mathematics Education, 4(2), 92-109.
  • Yang, D. C. (2005). Number sense strategies used by 6th grade students in Taiwan. Educational Studies, 31(3), 317- 333.
  • Yang, D. C. (2007). Investigating the strategies used by pre-service teachers in Taiwan when responding to number sense questions. School Science and Mathematics, 107(7), 293-301.
  • Yang, D. C., Reys, R. E., ve Reys, B. J. (2009). Number sense strategies used by pre-service teachers in Taiwan. International Journal of Science and Mathematics Education, 7(2), 383-403.
There are 29 citations in total.

Details

Primary Language Turkish
Journal Section Research Article
Authors

Timur Koparan This is me

Ömer Çataklı This is me

Publication Date December 20, 2017
Published in Issue Year 2017 Volume: 5 Issue: 2

Cite

APA Koparan, T., & Çataklı, Ö. (2017). Ortaokul Öğrencilerinin Sayı Duyularının Okul Türleri Açısından İncelenmesi. Karaelmas Eğitim Bilimleri Dergisi, 5(2), 250-262.