A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder

Mine IŞIKSAL, (Orta Doğu Teknik Üniversitesi, Ankara, Türkiye)
Yusuf KOÇ, (Indiana Univercity, USA)
Aslıhan OSMANOĞLU (Trakya Üniversitesi, Edirne, Türkiye)
Eğitim ve Bilim
2 1
Yıl: 2010 Cilt: 35 Sayı: 156 Sayfa Aralığı: 61 - 70 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022

A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder

Öz:
Bu çalışmanın amacı 8. sınıf öğrencilerinin ölçme alanındaki akıl yürütme becerilerini, daha spesifik olarak belirtmek gerekirse, öğrencilerin silindirin yüzey alan ve hacimine yönelik akıl yürütme becerilerini incelemektir. Veriler 2008 bahar dönemi sonunda Ankara’daki üç devlet okulu ve iki özel okulda öğrenim görmekte olan toplam 271 öğrenciden elde edilmiştir. Öğrencilerin silindirin alan ve hacmine yönelik akıl yürütme becerilerini tespit etmek amacıyla Silindir İnceleme Envanteri (CET, Merseth, 2003) ölçme aracı olarak kullanılmıştır. Bulgular, 8. sınıf öğrencilerinin kavramsal anlama gerektiren geometri problemlerini çözerken zorluk yaşadıklarını göstermiştir. Bulgular yorumlanmış ve ileriki çalışmalar için öneriler sunulmuştur.
Anahtar Kelime: silindir silindir inceleme envanteri yüzey alan öğrenciler Ankara ilk öğretim öğrencileri muhakeme hacim akıl yürütme becerileri ölçme

Konular: Eğitim, Eğitim Araştırmaları

Öğrencilerin ölçme alanında akıl yürütme becerilerine ilişkin bir çalışma: Silindir örneği

Öz:
The purpose of this study was to investigate 8th grade students’ reasoning skills on measurement. Specifically, this study aimed to find students’ reasoning skills on the case of surface area and volume of a cylinder. The data were collected from 271 8th grade elementary school students enrolled in three public and two private schools in Ankara at the end of 2008 spring semester. In order to investigate the elementary students’ reasoning skills regarding the area and volume of a cylinder, the Cylinder Exploration Task (CET, Merseth, 2003) was administered as the measuring instrument. The results revealed that 8th grade students had difficulty in solving the problems demanding the conceptual understanding on reasoning and measuring the surface area and volume of cylinder. Discussion of findings and recommendations for future research studies were provided.
Anahtar Kelime: reasoning volume reasoning skills measurement cylinder cylinder exploration task(cet) surface area students Ankara elementary school students

Konular: Eğitim, Eğitim Araştırmaları
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • Ball, D. L., Lubienski, S. T., & Mewborn, D. S. (2002). Research on teaching mathematics: The unsolved problem of teachers’ mathematical knowledge. In V. Richardson, Handbook of research on teaching (4th ed.). Washington DC, AERA: 433-456.
  • Battista, M. T. (2001). A research-based perspective on teaching school geometry. In J. Brophy (Eds.), Subject-specific instructional methods and activities. Advances in Research on Teaching Series, 8, NY: JAI Press, Elsevier Science.
  • Battista, M. T. (2003). Understanding students’ thinking about area and volume measurement. In D. H. Clements & G. Bright (Eds.), Learning and teaching measurement (122-142). Reston,VA: National Council of Teachers of Mathematics.
  • Battista, M. T. (2004). Applying cognition-based assessment to elementary school students’development of understanding of area and volume measurement. Mathematical Thinking and Learning, 6(2), 185-204.
  • Battista, M. T. (2007). The development of geometric and spatial thinking. In F. K. Lester Jr. (Ed.),Second handbook of research on mathematics teaching and learning, (1, 843-907). National Council of Teachers of Mathematics/Greenwich: Information Age.
  • Battista, M. T. & Clements, D. H. (1996). Students’ understanding of three-dimensional rectangular arrays of cubes. Journal for Research in Mathematics Education, 27(3), 258-292.
  • Baturo, A. & Nason, R. (1996). Student teachers’ subject matter knowledge within the domain of area measurement. Educational Studies in Mathematics, 29, 503-532.
  • Bulut, S., & Koç, Y. (2006). Yeni ilköğretim matematik dersi öğretim programı. Çoluk Çocuk, 61,27-36.
  • Chang, K.Y. (1992). Spatial and geometric reasoning abilities of college students. Unpublished doctoral dissertation, Boston University.
  • Chen, J. C., Reys, B. J., & Reys, R. E. (2009). Analysis of the learning expectations related to grade 1-8 measurement in some countries. International Journal of Science and Mathematics Education,7, 1013-1031.
  • Clements, D. H. (2003). Learning and Teaching Measurement: 2003 Yearbook (Ed.). Reston, VA:National Council of Teachers of Mathematics.
  • Confrey, J. (1990). A review of the research on student conceptions in mathematics, science, and programming. Review of Research in Education, 16, 3-56.
  • EARGED (2003). TIMSS 1999 Ulusal Raporu. Retrived December 03, 2009 from http://earged.meb.gov.tr/earged/subeler/olcme_degerlendirme/dokumanlar/uluslararasi/timss_1999_ulusal_raporu.pdf
  • French, D. (2004). Teaching and Learning Geometry: Issues and methods in mathematical education. New York : Continuum.
  • Hiebert, J. (1990). The role of routine procedures in the development of mathematical competence.In T. J. Cooney (Ed.), Teaching and learning mathematics in the 1990s (pp. 31-40). Reston, VA:National Council of Teachers of Mathematics.
  • Hiebert, J. & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning, (65-97). Old Tappan, NJ:Macmillan.
  • Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge in mathematics: An introductory analysis. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp.1-28). Hillsdale, New Jersey: Lawrence Erlbaum Associates.
  • Lubinski, C A., Fox, T., & Thomason, R. (1998). Learning to make sense of division of fractions:One K-8 preservice teacher’s perspective. School Science and Mathematics, 98(5), 247-253.
  • Merseth, K. K. (2003). Windows on teaching math: Case studies in middle and secondary classrooms.London: Teachers College Press.
  • Ministry of National Education [MNE] (2006). MEB müfredat geliştirme süreci. Retrieved May 01,2008, from http://ttkb.meb.gov.tr/programlar/
  • Ministry of National Education [MNE] (2009). SBS 2009 Altıncı Sınıflar Sayısal Verileri.Retrieved December 05,2009, from http://egitek.meb.gov.tr/sinavlar/Istatistikler/2009/sbs/6_ SinifSayisalVeriler/SBS6SayisalBilgiler.pdf
  • NCTM (2000). Principals and standards for school mathematics. National Council of Teachers of Mathematics, Reston: VA. Ng, G. L. (1998). Exploring children’s geometrical thinking. Unpublished doctoral dissertation,University of Oklahoma, Norman.
  • Piaget, J., & Inhelder, B. (1956). The child’s conception of space. London: Routledge & Kegan Paul.
  • Piaget, J., Inhelder, B., & Szeminska, A. (1960). The child’s conception of geometry. New York:Basic Books.
  • Raghavan, R., Sartoris, M. L., & Glaser, R. (1998). Interconnecting science and mathematics concepts. In R. Lehrer & D. Chazan (Eds.). Designing Learning Environments for Developing Understanding of Geometry and Space. Mahwah, N.J.: Lawrence Erlbaum Associates.
  • Rittle-Johnson, B., & Alibali, M. W. (1999). Conceptual and procedural knowledge: Does one lead to the other? Journal of Educational Psychology, 91, 175-189.
  • Sierpinska, A. (1994). Understanding in mathematics. London: Falmer.
  • Silver, E., Shapiro, L., & Deutsch, A. (1993). Sense making and the solution of division problems involving remainders: An examination of middle school students’ solution processes and their interpretations of solutions. Journal for Research in Mathematics Education, 24, 117-135.
  • Simon, M. A. & Blume, G. W. (1994). Building and understanding multiplicative relationships: A study of prospective elementary teachers. Journal for Research in Mathematics Education,25, 472-494.
  • Stephan, M. & Clements, D. H. (2003). Linear, area, and time measurement in prekindergarten to Grade 2. In Clements, D. H. (Ed.) Learning and Teaching Measurement: 2003 Yearbook.(3-16) Reston, VA: National Council of Teachers of Mathematics.
  • Stavy, R., Babai, R., Tsamir, P., Tirosh, D., Lin, F-L., & Mcrobbie, C. (2006). Are intuitive rules universal? International Journal of Science and Mathematics Education, 4, 417-436.
  • TIMSS (2007). International Mathematics Report. Retrived December 06, 2009 from http://timssandpirls.bc.edu/TIMSS2007/PDF/T07_M_IR_Chapter2.pdf
  • Tirosh, D. & Stavy, R. (1999). Intuitive rules: A way to explain and predict students’ reasoning.Educational Studies in Mathematics, 38, 51-66.
  • Van de Walle, J. A. (2007). Elementary and middle school mathematics: Teaching developmentally (6th ed.). Boston: Pearson Education.
  • Williams, S. (1991). Models of limit held by college calculus students. Journal for Research in Mathematics Education, 22, 219-236.
APA IŞIKSAL BOSTAN M, KOÇ Y, osmanoglu a (2010). A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. , 61 - 70.
Chicago IŞIKSAL BOSTAN MİNE,KOÇ Yusuf,osmanoglu aslihan A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. (2010): 61 - 70.
MLA IŞIKSAL BOSTAN MİNE,KOÇ Yusuf,osmanoglu aslihan A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. , 2010, ss.61 - 70.
AMA IŞIKSAL BOSTAN M,KOÇ Y,osmanoglu a A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. . 2010; 61 - 70.
Vancouver IŞIKSAL BOSTAN M,KOÇ Y,osmanoglu a A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. . 2010; 61 - 70.
IEEE IŞIKSAL BOSTAN M,KOÇ Y,osmanoglu a "A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder." , ss.61 - 70, 2010.
ISNAD IŞIKSAL BOSTAN, MİNE vd. "A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder". (2010), 61-70.
APA IŞIKSAL BOSTAN M, KOÇ Y, osmanoglu a (2010). A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. Eğitim ve Bilim, 35(156), 61 - 70.
Chicago IŞIKSAL BOSTAN MİNE,KOÇ Yusuf,osmanoglu aslihan A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. Eğitim ve Bilim 35, no.156 (2010): 61 - 70.
MLA IŞIKSAL BOSTAN MİNE,KOÇ Yusuf,osmanoglu aslihan A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. Eğitim ve Bilim, vol.35, no.156, 2010, ss.61 - 70.
AMA IŞIKSAL BOSTAN M,KOÇ Y,osmanoglu a A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. Eğitim ve Bilim. 2010; 35(156): 61 - 70.
Vancouver IŞIKSAL BOSTAN M,KOÇ Y,osmanoglu a A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder. Eğitim ve Bilim. 2010; 35(156): 61 - 70.
IEEE IŞIKSAL BOSTAN M,KOÇ Y,osmanoglu a "A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder." Eğitim ve Bilim, 35, ss.61 - 70, 2010.
ISNAD IŞIKSAL BOSTAN, MİNE vd. "A study on investigating 8th grade students` reasoning skills on measurement: The case of cylinder". Eğitim ve Bilim 35/156 (2010), 61-70.
Sayfa Oluşturulma Tarihi
22-04-2024 15:16

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