A Case Study about Computational Estimation Strategies of Seventh Graders
Yıl 2012,
Cilt: 11 Sayı: 4, 979 - 994, 26.06.2012
Burçak Boz
,
Safure Bulut
Öz
This study examined computational estimation strategies of the seventh grade students. A case
study methodology was used and data were collected from five high achievers via an interview session. During the
interview participants were required to solve fifteen computational estimation numerical questions which were
presented in whole number, fraction and decimal and they were asked to explain their reasoning. A theme oriented
matrix was used to analyze the data. The results of the study found that reformulation was the most preferred strategy
and translation and compensation strategies were relatively less preferred strategies by the interviewees. The least
preferred strategy was compensation which was known as adjusting the estimated results according to exact answer.
Kaynakça
- Berry, R. Q. (1998). ―Computational Estimation Skills of eight grade students.‖ Unpublished master’s thesis, Christopher Newport University, Virginia.
- Bestgen, B. J., Reys, R. E., Rybolt, J. F. & Wyatt, J. W. (1980). Effectiveness of Systematic Instruction on Attitudes and Computational Estimation Skills of Preservice Elementary Teachers. Journal for Research in Mathematics Education, 11, 124-136
- Boz, B., & Bulut, S. (2002). ―İlköğretim Matematik, Fen Bilgisi ve Okul Öncesi Öğretmen Adaylarının Tahmin Becerilerinin İncelenmesi‖ 5. Ulusal Fen Bilimleri ve Matematik Eğitimi Kongresi, ODTÜ Kültür Kongre Merkezi, Ankara
- Boz, B. (2004). ―Investigation of Estimation Ability of High School Students.‖ Unpublished master’s thesis, Middle East Technical University, Ankara.
- Collins, K. M. T., Onwuegbuzie, A. J. & Jiao, Q. G. (2012). A Mixed Methods Investigation of Mixed Methods Sampling Designs in Social and Health Science Research, Journal of Mixed Methods Research, 1 (3) 267294. [Online]: Retrieved on 19-March-2012 at URL: http://mmr.sagepub.com/content/1/3/267.full.pdf
- Çilingir D. & Türnüklü, E. B. (2009).Estimation Ability and Strategies of the 6th-8th Grades Elementary School Students. Elementary Education Online, 8 (3), 637-650. [Online]: Retrieved on 01-September-2009 at URL: http://www.ilkogretim-online.org.tr/vol8say3/v8s3m2.pfd
- Dowker, A. (1992). Computational Estimation Strategies of Professional Mathematicians. Journal for Research in Mathematics Education, 23, 45-55.
- Gliner, G. S. (1991). Factors contributing to success in mathematical estimation in preservice teachers: types of problems and previous mathematical experience. Educational Studies in Mathematics, 22, 595-606.
- Goodman, T. (1991). Computational estimation skills of preservice elementary teachers. International Journal of Mathematical Education in Science and Technology, 22 (2) 259-272.
- 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.
- Hope, J.A. (1986). Mental calculation: Anachronism or basic skill? In H.L. Schoen & M.J. Zweng (Eds.) Estimation and Mental Computation: 1986 yearbook (pp.45-54). Reston VA: National Council of Teachers of Mathematics
- Levine, D.R. (1982). Strategy use and estimation ability of college students. Journal for Research in Mathematics Education, 15(5), 350-359.
- Miles, M. B. & Huberman, A. M. (1994). Qualitative data Analysis: An Expanded sourcebook (3rd ed.).Newbury Park, CA: Sage Publications.
- Ministry of National Education. (2004). İlköğretim matematik dersi öğretim program ve kılavuzu: 1-5. sınıflar (Elementary Education Mathematics Curriculum and Manual: Grades 1-5). Ankara: Devlet Kitapları Müdürlüğü
- National Council of Mathematics Teachers (2000). Principles and Standard for School Mathematics. Reston, VA: National Council of Mathematics Teachers
- Reys, R. E., Rybolt, J. F., Bestgen, B. J., & Wyatt, W. J. (1982). Process used by good computational estimators. Journal for Research in Mathematics Education, 13 (3), 183-201.
- Reys, B. J. (1986). Teaching Computational Estimation: Concepts and Strategies. In H. L. Schoen & M. J. Zweng (Eds.), Estimation and mental computation: 1986 yearbook (pp. 31-45). Reston, VA: National Council of Teachers of Mathematics.
- Reys, R. E., Reys, B. J., Nohda, N., Ishida, J., & Shimizu, K. (1991a). Computational estimation performance and strategies used by fifth and eighth grade Japanese students. Journal for Research in Mathematics Education, 22 (1), 39-58.
- Reys, B. J., Reys, R. E. & Penafiel, A. F. (1991b). Estimation Performance and Strategy Use of Mexican 5th and 8th Grade Student Sample. Educational Studies in Mathematics, 22 (4), 353- 375.
- Reys, R. E. (1993). Research on computational estimation: What it tells us and some questions that need to be addressed. Hiroshima Journal of Mathematics Education, 1, 105-112.
- Reys, R. E. & Yang, D. (1998). Relationship between computational performance and number sense among sixth-and eighth grade students in Taiwan. Journal for Research in Mathematics Education, 29 (2), 225237.
- Sowder-Threadgill, J. (1984). Computational estimation procedures of school children. Journal of Educational Research, 77 (6), 332-336
- 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
- Sowder, J. & Wheeler, M. M. (1989).The development of concepts and strategies used in computational estimation. Journal for Research in Mathematics Education, 20 (2), 130-146.
- Trafton, P. R. (1986). Teaching computational estimation: Establishing an estimation mind-set. In H.L. Schoen & M.J. Zweng (Eds.), Estimation and mental computation: 1986 yearbook (pp, 16-30). Reston, VA: NCTM
- Usiskin, Z. (1986). Reasons for Estimation. In H.L. Schoen & M.J. Zweng (Eds.) Estimation and Mental Computation: 1986 yearbook (pp.1-15). Reston VA: National Council of Teachers of Mathematics
- Yang, D. C. (1995). ―Number Sense performance and strategies possessed by sixth and eighth grade students in Taiwan.‖ Unpublished doctoral dissertation, University of Missouri, Missouri.
Yedinci Sınıfların Hesaplamalı Tahmin Stratejileri ile ilgili Bir Örnek Olay Çalışması
Yıl 2012,
Cilt: 11 Sayı: 4, 979 - 994, 26.06.2012
Burçak Boz
,
Safure Bulut
Kaynakça
- Berry, R. Q. (1998). ―Computational Estimation Skills of eight grade students.‖ Unpublished master’s thesis, Christopher Newport University, Virginia.
- Bestgen, B. J., Reys, R. E., Rybolt, J. F. & Wyatt, J. W. (1980). Effectiveness of Systematic Instruction on Attitudes and Computational Estimation Skills of Preservice Elementary Teachers. Journal for Research in Mathematics Education, 11, 124-136
- Boz, B., & Bulut, S. (2002). ―İlköğretim Matematik, Fen Bilgisi ve Okul Öncesi Öğretmen Adaylarının Tahmin Becerilerinin İncelenmesi‖ 5. Ulusal Fen Bilimleri ve Matematik Eğitimi Kongresi, ODTÜ Kültür Kongre Merkezi, Ankara
- Boz, B. (2004). ―Investigation of Estimation Ability of High School Students.‖ Unpublished master’s thesis, Middle East Technical University, Ankara.
- Collins, K. M. T., Onwuegbuzie, A. J. & Jiao, Q. G. (2012). A Mixed Methods Investigation of Mixed Methods Sampling Designs in Social and Health Science Research, Journal of Mixed Methods Research, 1 (3) 267294. [Online]: Retrieved on 19-March-2012 at URL: http://mmr.sagepub.com/content/1/3/267.full.pdf
- Çilingir D. & Türnüklü, E. B. (2009).Estimation Ability and Strategies of the 6th-8th Grades Elementary School Students. Elementary Education Online, 8 (3), 637-650. [Online]: Retrieved on 01-September-2009 at URL: http://www.ilkogretim-online.org.tr/vol8say3/v8s3m2.pfd
- Dowker, A. (1992). Computational Estimation Strategies of Professional Mathematicians. Journal for Research in Mathematics Education, 23, 45-55.
- Gliner, G. S. (1991). Factors contributing to success in mathematical estimation in preservice teachers: types of problems and previous mathematical experience. Educational Studies in Mathematics, 22, 595-606.
- Goodman, T. (1991). Computational estimation skills of preservice elementary teachers. International Journal of Mathematical Education in Science and Technology, 22 (2) 259-272.
- 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.
- Hope, J.A. (1986). Mental calculation: Anachronism or basic skill? In H.L. Schoen & M.J. Zweng (Eds.) Estimation and Mental Computation: 1986 yearbook (pp.45-54). Reston VA: National Council of Teachers of Mathematics
- Levine, D.R. (1982). Strategy use and estimation ability of college students. Journal for Research in Mathematics Education, 15(5), 350-359.
- Miles, M. B. & Huberman, A. M. (1994). Qualitative data Analysis: An Expanded sourcebook (3rd ed.).Newbury Park, CA: Sage Publications.
- Ministry of National Education. (2004). İlköğretim matematik dersi öğretim program ve kılavuzu: 1-5. sınıflar (Elementary Education Mathematics Curriculum and Manual: Grades 1-5). Ankara: Devlet Kitapları Müdürlüğü
- National Council of Mathematics Teachers (2000). Principles and Standard for School Mathematics. Reston, VA: National Council of Mathematics Teachers
- Reys, R. E., Rybolt, J. F., Bestgen, B. J., & Wyatt, W. J. (1982). Process used by good computational estimators. Journal for Research in Mathematics Education, 13 (3), 183-201.
- Reys, B. J. (1986). Teaching Computational Estimation: Concepts and Strategies. In H. L. Schoen & M. J. Zweng (Eds.), Estimation and mental computation: 1986 yearbook (pp. 31-45). Reston, VA: National Council of Teachers of Mathematics.
- Reys, R. E., Reys, B. J., Nohda, N., Ishida, J., & Shimizu, K. (1991a). Computational estimation performance and strategies used by fifth and eighth grade Japanese students. Journal for Research in Mathematics Education, 22 (1), 39-58.
- Reys, B. J., Reys, R. E. & Penafiel, A. F. (1991b). Estimation Performance and Strategy Use of Mexican 5th and 8th Grade Student Sample. Educational Studies in Mathematics, 22 (4), 353- 375.
- Reys, R. E. (1993). Research on computational estimation: What it tells us and some questions that need to be addressed. Hiroshima Journal of Mathematics Education, 1, 105-112.
- Reys, R. E. & Yang, D. (1998). Relationship between computational performance and number sense among sixth-and eighth grade students in Taiwan. Journal for Research in Mathematics Education, 29 (2), 225237.
- Sowder-Threadgill, J. (1984). Computational estimation procedures of school children. Journal of Educational Research, 77 (6), 332-336
- 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
- Sowder, J. & Wheeler, M. M. (1989).The development of concepts and strategies used in computational estimation. Journal for Research in Mathematics Education, 20 (2), 130-146.
- Trafton, P. R. (1986). Teaching computational estimation: Establishing an estimation mind-set. In H.L. Schoen & M.J. Zweng (Eds.), Estimation and mental computation: 1986 yearbook (pp, 16-30). Reston, VA: NCTM
- Usiskin, Z. (1986). Reasons for Estimation. In H.L. Schoen & M.J. Zweng (Eds.) Estimation and Mental Computation: 1986 yearbook (pp.1-15). Reston VA: National Council of Teachers of Mathematics
- Yang, D. C. (1995). ―Number Sense performance and strategies possessed by sixth and eighth grade students in Taiwan.‖ Unpublished doctoral dissertation, University of Missouri, Missouri.