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Orantısal akıl yürütme gerektiren sorularda öğrencilerin kullandıkları çözüm stratejilerinin soru türlerine göre değişiminin incelenmesi

Year 2005, Volume: 28 Issue: 28, 73 - 81, 01.06.2005

Asuman Duatepe Oylum Akkuş Çıkla Mesture Kayhan

Abstract

Bu araştırmanın amacı, ilköğretim ikinci kademe öğrencilerinin orantısal akıl yürütmeyi gerektiren oran-orantı sorularında kullandıkları çözüm stratejilerini ve bu stratejilerin soru türlerine göre nasıl değiştiğini incelemektir. Bu amaç doğrultusunda, dört farklı ilköğretim okulunun ikinci kademesinde öğrenim gören toplam 295 kişiye, orantısal akıl yürütme testi uygulanmıştır. Çalışma sonucunda, öğrencilerin bilinmeyen değer türündeki sorularda en çok içler-dışlar çarpımı stratejisini; niceliksel karşılaştırma soru türünde en çok birim oran stratejisini; niteliksel karşılaştırma sorularında çoğunlukla belirli bir strateji kullanmaksızın sadece orantısal akıl yürütebildiğine ilişkin ipuçları verme ve orantısal olmayan karşılaştırma türündeki sorularda sıklıkla bu soru türü için doğru sonuca ulaşmayı sağlayan toplamsal stratejisini, ve son olarak ters orantı türündeki sorularda ters orantı algoritması stratejisini kullandıkları görülmüştür

Keywords

orantısal akıl yürütme çözüm stratejileri ilköğretim ikinci kademe öğrencileri matematik eğitimi

References

  • Akkuş-Çıkla, O. ve Duatepe, A. (2002). İlköğretim matematik öğretmen adaylarının orantısal akıl yürütme becerileri üzerine niteliksel bir çalışma, Hacettepe Eğitim Fakültesi Dergisi, 23, 32-40
  • Al-Wattban, M. (2001). Proportional reasoning and working memory capacity among saudi adolescents: a neo-piagetion investigation. The University of Northen of Colorada, Greeley, Colorada, published PhD thesis.
  • Ball, L., Stacey, K., & Pierce, R. (2001). Assessing algebraic expectation. In J. Bobis, B. Perry, M. Mitchelmore (Eds.) Numeracy and Beyond. Proceedings of the 24th Annual Conference of the Mathematics Education Research Group of Australasia, 1, 66 – 73, Sydney.
  • Bart, W., Post, T., Behr, M. & Lesh, R. (1994). A diagnostic analysis of a proportional reasoning test item: an introduction to the proporties of a semi- dense item. Focus on Learning Problems in Mathematics, 16(3), 1-11.
  • Ben-Chaim, D., Fey, J. T., Fitzgerald, W. M., Benedetto,C. & Miller, J. (1998). Proportional reasoning among 7th grade students with different curricular experiences. Educational Studies in Mathematics, 36, 247-273.
  • Clark, K. ve Lesh, R. (2003). Whodunit? Exploring proportional reasoning through the footprint problem. School Science and Mathematics, 103(2), 92-98.
  • Cramer, K. ve Post, T. (1993). Connecting research to teaching proportional reasoning. Mathematics Teacher, 86(5), 404- 407.
  • Cramer, K., Post, T., ve Currier, S. (1993). Learning and teaching ratio and proportion: research implications. In D. Owens (Ed.), Research ideas for the classroom (ss. 159-178). NY: Macmillan Publishing Company.
  • Flowers, J. (1998). A study of proportional reasoning as it relates to the development of multiplication concepts, The University of Michigan, Michigan, unpublished Ed.D thesis.
  • Hull-Hudson, L. S. (2000). Teachers’ mathematical understanding of proportionality: links to curriculum, professional development, and support, The University of Texas, Austin-Texas, published Ph.D thesis.
  • Kayhan, M., Duatepe A. ve Akkus-Çıkla, O. (2004). İlköğretim ikinci kademe öğrencilerinin orantısal akıl yürütme gerektiren sorularda kullandıkları çözüm stratejileri, VI. Ulusal Fen Bilimleri ve Matematik Eğitimi Kongresi, 9-11 Eylül, İstanbul.
  • Lannin, J. K. (2003). Developing algebraic reasoning through generalization. Mathematics Teaching in the Middle School, 8(7), 342-348.
  • Lannin, J. K. (2001). Developing middle school students' understanding of recursive and explicit reasoning, Illinois State University, Illinois, unpublished Ph.D thesis.
  • Mitchell, A. ve Lawson, A. E. (1988). Predicting genetics achievement in nonmajors college biology. Journal of Research in Science Teaching, 25(1), 23-37.
  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
  • Perrine, V. (2001). Effects of a problem-solving-based mathematics course on the proportional reasoning of preservice teachers, University of Northern, Colorado, published Ph.D thesis.
  • Singh, P. (2000). Understanding the concepts of proportion and ratio constructed by two grade six students. Educational Studies in Mathematics, 43, 271-292
  • Slovin, H. (2000). Moving to proportional reasoning. Mathematics Teaching in the Middle School, 6(1), 58-60.
  • Tourniaire, F., ve Pulos, S. (1985). Proportional reasoning: a review of the literature. Educational Studies in Mathematics, 16, 181-204.
  • Umay, A. (2003). Matematiksel muhakeme yeteneği. Hacettepe Eğitim Fakültesi Dergisi, 24, 234- 243.
  • Wollman, W. ve Lawson, A. (1978). The influence of instruction on proportional reasoning in seventh graders. Journal of Research in Science Teaching, 15(3), 227-232.
  • Yıldırım, H. (2001). İlköğretim matematik 7. Ankara: Yıldırım Yayınları.

Year 2005, Volume: 28 Issue: 28, 73 - 81, 01.06.2005

Asuman Duatepe Oylum Akkuş Çıkla Mesture Kayhan

Abstract

References

  • Akkuş-Çıkla, O. ve Duatepe, A. (2002). İlköğretim matematik öğretmen adaylarının orantısal akıl yürütme becerileri üzerine niteliksel bir çalışma, Hacettepe Eğitim Fakültesi Dergisi, 23, 32-40
  • Al-Wattban, M. (2001). Proportional reasoning and working memory capacity among saudi adolescents: a neo-piagetion investigation. The University of Northen of Colorada, Greeley, Colorada, published PhD thesis.
  • Ball, L., Stacey, K., & Pierce, R. (2001). Assessing algebraic expectation. In J. Bobis, B. Perry, M. Mitchelmore (Eds.) Numeracy and Beyond. Proceedings of the 24th Annual Conference of the Mathematics Education Research Group of Australasia, 1, 66 – 73, Sydney.
  • Bart, W., Post, T., Behr, M. & Lesh, R. (1994). A diagnostic analysis of a proportional reasoning test item: an introduction to the proporties of a semi- dense item. Focus on Learning Problems in Mathematics, 16(3), 1-11.
  • Ben-Chaim, D., Fey, J. T., Fitzgerald, W. M., Benedetto,C. & Miller, J. (1998). Proportional reasoning among 7th grade students with different curricular experiences. Educational Studies in Mathematics, 36, 247-273.
  • Clark, K. ve Lesh, R. (2003). Whodunit? Exploring proportional reasoning through the footprint problem. School Science and Mathematics, 103(2), 92-98.
  • Cramer, K. ve Post, T. (1993). Connecting research to teaching proportional reasoning. Mathematics Teacher, 86(5), 404- 407.
  • Cramer, K., Post, T., ve Currier, S. (1993). Learning and teaching ratio and proportion: research implications. In D. Owens (Ed.), Research ideas for the classroom (ss. 159-178). NY: Macmillan Publishing Company.
  • Flowers, J. (1998). A study of proportional reasoning as it relates to the development of multiplication concepts, The University of Michigan, Michigan, unpublished Ed.D thesis.
  • Hull-Hudson, L. S. (2000). Teachers’ mathematical understanding of proportionality: links to curriculum, professional development, and support, The University of Texas, Austin-Texas, published Ph.D thesis.
  • Kayhan, M., Duatepe A. ve Akkus-Çıkla, O. (2004). İlköğretim ikinci kademe öğrencilerinin orantısal akıl yürütme gerektiren sorularda kullandıkları çözüm stratejileri, VI. Ulusal Fen Bilimleri ve Matematik Eğitimi Kongresi, 9-11 Eylül, İstanbul.
  • Lannin, J. K. (2003). Developing algebraic reasoning through generalization. Mathematics Teaching in the Middle School, 8(7), 342-348.
  • Lannin, J. K. (2001). Developing middle school students' understanding of recursive and explicit reasoning, Illinois State University, Illinois, unpublished Ph.D thesis.
  • Mitchell, A. ve Lawson, A. E. (1988). Predicting genetics achievement in nonmajors college biology. Journal of Research in Science Teaching, 25(1), 23-37.
  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
  • Perrine, V. (2001). Effects of a problem-solving-based mathematics course on the proportional reasoning of preservice teachers, University of Northern, Colorado, published Ph.D thesis.
  • Singh, P. (2000). Understanding the concepts of proportion and ratio constructed by two grade six students. Educational Studies in Mathematics, 43, 271-292
  • Slovin, H. (2000). Moving to proportional reasoning. Mathematics Teaching in the Middle School, 6(1), 58-60.
  • Tourniaire, F., ve Pulos, S. (1985). Proportional reasoning: a review of the literature. Educational Studies in Mathematics, 16, 181-204.
  • Umay, A. (2003). Matematiksel muhakeme yeteneği. Hacettepe Eğitim Fakültesi Dergisi, 24, 234- 243.
  • Wollman, W. ve Lawson, A. (1978). The influence of instruction on proportional reasoning in seventh graders. Journal of Research in Science Teaching, 15(3), 227-232.
  • Yıldırım, H. (2001). İlköğretim matematik 7. Ankara: Yıldırım Yayınları.
There are 22 citations in total.

Details

Primary Language Turkish
Journal Section Makaleler
Authors

Asuman Duatepe

Oylum Akkuş Çıkla This is me

Mesture Kayhan This is me

Publication Date June 1, 2005
Published in Issue Year 2005 Volume: 28 Issue: 28

Cite

APA Duatepe, A., Çıkla, O. A., & Kayhan, M. (2005). Orantısal akıl yürütme gerektiren sorularda öğrencilerin kullandıkları çözüm stratejilerinin soru türlerine göre değişiminin incelenmesi. Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 28(28), 73-81.