Research Article
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Seventh Grade Students' Success on the Topics of Area and Perimeter

Year 2009, Volume: 8 Issue: 1, 243 - 253, 26.06.2009

Abstract

The purpose of this study is to investigate 7th grade students’ success on the topics of area and
perimeter. The study was conducted with 134 seventh grade students attending one of the public elementary schools
in Ankara. A test including eight open-ended questions developed by the researchers was used as data collection
instrument. The data were analyzed through the use of descriptive statistics methods. The results of the study
revealed that majority of the seventh grade students participated in the study have serious problems with the
understanding of area and perimeter, have some misconceptions, and have difficulties in using the formulas for area/
perimeter effectively. Based on the findings, suggestions for improving teaching of area and perimeter are addressed.

References

  • Aksu, M. (1997). Student performance in dealing with fractions. The Journal of Educational Research, 90(6), 375-380
  • Albayrak, M., Isik, C. ve Ipek, A. S. (2006). lkö!retim ö!rencilerinin (1-5.SMnMflar) ölçme ö!renme alanMndaki performanslarM. VII. Ulusal Fen Bilimleri ve Matematik Egitimi Kongresi, 6-8 Eylul 2006, Ankara.
  • Baki, A. (1998). Matematik öretiminde ilemsel ve kavramsal bilginin dengelenmesi. 40. KuruluN YMlM Matematik Sempozyumu, 20-22 MayMs, Atatürk Üniversitesi, Erzurum.
  • Baykul, Y. (1999). lköretimde Matematik Öretimi. AnM YayMncMlMk:Ankara
  • Chappell, M. F. & Thompson, D. R. (1999). Perimeter or area?: Which measure is it? Mathematics Teaching in the Middle School, 5(1), 20-23.
  • D’Amore B. & Fandiño Pinilla M. I. (2006). Relationships between area and perimeter: Beliefs of teachers and students. Mediterranean journal for research in mathematics education (Cyprus Mathematical Society - Università di Cipro, Nicosia, Cipro). Vol. 5, 2. Pagg. 1-29. ISSN: 14501104.
  • Emekli, A. (2001). Ölçüler konusunun öretiminde yanlglarn tehisi ve alnmas gereken tedbirler. YayMnlanmamMN Master Tezi, Selçuk Üniversitesi , Konya, Turkiye.
  • Grant, T., J. & Kline, K. (2003). Developing the building blocks of measurement with young children. In D.H. Clements & G. Bright (Eds.), Learning and Teaching Measurement 2003 Yearbook (pp. 46-57). Reston,VA: NCTM.
  • Hiebert, J. (ed.) (1986). Conceptual and Procedural Knowledge: The Case of Mathematics. Hillsdale: Erlbaum.
  • Hirstein, J.J., Lamb, C.E. & Osborne, A. (1978). Student misconceptions about area measure. Arithmetic Teacher, 25(6), 10–16.
  • Kamii, C. (1996). Why can’t fourth graders calculate the area of a rectangle? In Jakubowski, E., Watkins, D., & Biske, H. (Eds.), Proceedings of the 18th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Vol. 1, pp. 223-226. Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
  • Kamii, C & Kysh, J. (2006). The difficulty of “length x width”: Is a square the unit of measurement?. Journal of Mathematical Behavior, 25, 105-115.
  • Kidman, G. & Cooper, T.J. (1997). Area integration rules for grades 4, 6, 8 students. In E. Pehkonen (Ed.), Proceedings of the 21st Annual Conference of the International Group for the Psychology of Mathematics Education, vol.3 (p. 132-143). Lahti, Finland: University of Finland.
  • Kordaki, M. & Portani, D. (1998). Children’s approaches to area measurement through different contexts. Journal of Mathematical Behavior, 17(3), 303–316.
  • Martin, W., & Strutchens, M. E. (2000). Geometry and measurement. In E. A. Silver (Ed.), Results of the 1996 NAEP mathematics assessment, (pp. 193-234). Reston, VA: NCTM.
  • Moreira, C. Q. & Contente, M. do R. (1997). The role of writing to foster pupil’s learning about area. In E. Pehkonen (Ed.), Proceedings of the 21st PME International Conference, 3, 256-263.
  • Moyer, S. P (2001). Using representations to explore perimeter and area. Teaching Children Mathematics, 8(1), 52.
  • Stephen M., & Clements. D.H. (2003). Linear and area measurement in prekindergarten to grade 2. In D.H. Clements & G. Bright (Eds.), Learning and Teaching Measurement 2003 Yearbook (pp. 316). Reston,VA: NCTM.
  • Thompson, A. G., Philipp, R. A., Thompson, P. W., & Boyd, B. (1994). Calculational and conceptual orientations in teaching mathematics. In D. B. Aichele (Ed.), 1994 Yearbook of the National Council of Teachers of Mathematics (pp. 79–92). Reston, VA. National Council of Teachers of Mathematics.
  • Woodward, E. (1982). Heidi’s misconception about area and perimeter. School Science and Mathematics, 82(4), 332-334.
  • Woodward, E. & Byrd, F. (1983). Area: Included topic, neglected concept. School Science and Mathematics, 83, 343–347.

Yedinci Sınıf Öğrencilerinin Alan ve Çevre Konularındaki Başarıları

Year 2009, Volume: 8 Issue: 1, 243 - 253, 26.06.2009

Abstract

Bu çalışmanın amacı, 7.sınıf öğrencilerinin alan ve çevre konularındaki başarılarını araştırmaktır. Çalışmaya, Ankara ili merkez ilçelerinden birinde yer alan bir ilköğretim okulunun 7. sınıflarında öğrenim gördüğü 134 öğrenci katılmıştır. Çalışmada, araştırmacılar tarafından yazılmış edebür ve matematik programındaki kazanımlar 8 açık uçlu sorudan oluşan test. Toplanan veriler, betimsel istatistiki analiz. Bulgular, çalışmaya katılan 7. sınıf öğrencilerinin alan ve çevre kavramlarını anlamada ciddi zemini çektiğini, alan kavramını ve etkilerini içeren etkilerini kullanmada sıkıntılar yaşadıklarını görebilirsiniz. Çalışmada elde edilen sonuçlara bağlı olarak, günlük hayatta ve matematik programlarında önemli bir yer olan alan ve çevre konularının bulunması, anlamlı ve etkili bir tek öğretilebilmesi için öğrenme ortamlarında yapılması gerekenler hakkında öneriler sunulmuştur.

References

  • Aksu, M. (1997). Student performance in dealing with fractions. The Journal of Educational Research, 90(6), 375-380
  • Albayrak, M., Isik, C. ve Ipek, A. S. (2006). lkö!retim ö!rencilerinin (1-5.SMnMflar) ölçme ö!renme alanMndaki performanslarM. VII. Ulusal Fen Bilimleri ve Matematik Egitimi Kongresi, 6-8 Eylul 2006, Ankara.
  • Baki, A. (1998). Matematik öretiminde ilemsel ve kavramsal bilginin dengelenmesi. 40. KuruluN YMlM Matematik Sempozyumu, 20-22 MayMs, Atatürk Üniversitesi, Erzurum.
  • Baykul, Y. (1999). lköretimde Matematik Öretimi. AnM YayMncMlMk:Ankara
  • Chappell, M. F. & Thompson, D. R. (1999). Perimeter or area?: Which measure is it? Mathematics Teaching in the Middle School, 5(1), 20-23.
  • D’Amore B. & Fandiño Pinilla M. I. (2006). Relationships between area and perimeter: Beliefs of teachers and students. Mediterranean journal for research in mathematics education (Cyprus Mathematical Society - Università di Cipro, Nicosia, Cipro). Vol. 5, 2. Pagg. 1-29. ISSN: 14501104.
  • Emekli, A. (2001). Ölçüler konusunun öretiminde yanlglarn tehisi ve alnmas gereken tedbirler. YayMnlanmamMN Master Tezi, Selçuk Üniversitesi , Konya, Turkiye.
  • Grant, T., J. & Kline, K. (2003). Developing the building blocks of measurement with young children. In D.H. Clements & G. Bright (Eds.), Learning and Teaching Measurement 2003 Yearbook (pp. 46-57). Reston,VA: NCTM.
  • Hiebert, J. (ed.) (1986). Conceptual and Procedural Knowledge: The Case of Mathematics. Hillsdale: Erlbaum.
  • Hirstein, J.J., Lamb, C.E. & Osborne, A. (1978). Student misconceptions about area measure. Arithmetic Teacher, 25(6), 10–16.
  • Kamii, C. (1996). Why can’t fourth graders calculate the area of a rectangle? In Jakubowski, E., Watkins, D., & Biske, H. (Eds.), Proceedings of the 18th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Vol. 1, pp. 223-226. Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
  • Kamii, C & Kysh, J. (2006). The difficulty of “length x width”: Is a square the unit of measurement?. Journal of Mathematical Behavior, 25, 105-115.
  • Kidman, G. & Cooper, T.J. (1997). Area integration rules for grades 4, 6, 8 students. In E. Pehkonen (Ed.), Proceedings of the 21st Annual Conference of the International Group for the Psychology of Mathematics Education, vol.3 (p. 132-143). Lahti, Finland: University of Finland.
  • Kordaki, M. & Portani, D. (1998). Children’s approaches to area measurement through different contexts. Journal of Mathematical Behavior, 17(3), 303–316.
  • Martin, W., & Strutchens, M. E. (2000). Geometry and measurement. In E. A. Silver (Ed.), Results of the 1996 NAEP mathematics assessment, (pp. 193-234). Reston, VA: NCTM.
  • Moreira, C. Q. & Contente, M. do R. (1997). The role of writing to foster pupil’s learning about area. In E. Pehkonen (Ed.), Proceedings of the 21st PME International Conference, 3, 256-263.
  • Moyer, S. P (2001). Using representations to explore perimeter and area. Teaching Children Mathematics, 8(1), 52.
  • Stephen M., & Clements. D.H. (2003). Linear and area measurement in prekindergarten to grade 2. In D.H. Clements & G. Bright (Eds.), Learning and Teaching Measurement 2003 Yearbook (pp. 316). Reston,VA: NCTM.
  • Thompson, A. G., Philipp, R. A., Thompson, P. W., & Boyd, B. (1994). Calculational and conceptual orientations in teaching mathematics. In D. B. Aichele (Ed.), 1994 Yearbook of the National Council of Teachers of Mathematics (pp. 79–92). Reston, VA. National Council of Teachers of Mathematics.
  • Woodward, E. (1982). Heidi’s misconception about area and perimeter. School Science and Mathematics, 82(4), 332-334.
  • Woodward, E. & Byrd, F. (1983). Area: Included topic, neglected concept. School Science and Mathematics, 83, 343–347.
There are 21 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Gülçin Tan Şişman This is me

Meral Aksu

Publication Date June 26, 2009
Published in Issue Year 2009 Volume: 8 Issue: 1

Cite

APA Şişman, G. T., & Aksu, M. (2009). Yedinci Sınıf Öğrencilerinin Alan ve Çevre Konularındaki Başarıları. İlköğretim Online, 8(1), 243-253.
AMA Şişman GT, Aksu M. Yedinci Sınıf Öğrencilerinin Alan ve Çevre Konularındaki Başarıları. EEO. March 2009;8(1):243-253.
Chicago Şişman, Gülçin Tan, and Meral Aksu. “Yedinci Sınıf Öğrencilerinin Alan Ve Çevre Konularındaki Başarıları”. İlköğretim Online 8, no. 1 (March 2009): 243-53.
EndNote Şişman GT, Aksu M (March 1, 2009) Yedinci Sınıf Öğrencilerinin Alan ve Çevre Konularındaki Başarıları. İlköğretim Online 8 1 243–253.
IEEE G. T. Şişman and M. Aksu, “Yedinci Sınıf Öğrencilerinin Alan ve Çevre Konularındaki Başarıları”, EEO, vol. 8, no. 1, pp. 243–253, 2009.
ISNAD Şişman, Gülçin Tan - Aksu, Meral. “Yedinci Sınıf Öğrencilerinin Alan Ve Çevre Konularındaki Başarıları”. İlköğretim Online 8/1 (March 2009), 243-253.
JAMA Şişman GT, Aksu M. Yedinci Sınıf Öğrencilerinin Alan ve Çevre Konularındaki Başarıları. EEO. 2009;8:243–253.
MLA Şişman, Gülçin Tan and Meral Aksu. “Yedinci Sınıf Öğrencilerinin Alan Ve Çevre Konularındaki Başarıları”. İlköğretim Online, vol. 8, no. 1, 2009, pp. 243-5.
Vancouver Şişman GT, Aksu M. Yedinci Sınıf Öğrencilerinin Alan ve Çevre Konularındaki Başarıları. EEO. 2009;8(1):243-5.