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IDENTIFYING STUDENTS' POSSIBLE SOLUTION STRATEGIES WHILE SOLVING QUESTIONS REGARDING THE CONCEPT OF MEAN

Year 2017, Volume: 6 , 24 - 30, 04.08.2017

Abstract

The
purpose of this study was to investigate solution strategies used by seventh
grade students regarding the concept of mean given in bar graph
representations. Participants were 233 seventh grade students from two public
middle schools in Gelibolu district of Çanakkale. Data were collected via a
questionnaire. Students' possible solution strategies regarding the concept of
mean were identified through item based in-depth analysis. The results of the
study indicated that students used two different solution strategies to solve
questions regarding the concept of mean. More specifically, the study indicated
that the balance model and the average formula were identified as two solution
strategies to solve the questions regarding the mean concept given in bar graph
representations.

References

  • Becker, J. P. (Ed.), 1992. Report of U.S.–Japan Cross-National Research on Students’ Problem Solving Behaviors. Columbus, OH: ERIC/SMEAC Clearing House, ED 351/204. Bright, G. W. & Friel, S. N. (1998). Graphical representations: Helping students interpret data. In S. P. Lajoie (Ed.), Reflections on statistics: Learning, teaching, and assessment in grades K–12 (pp. 63–88). Hillsdale, NJ: Lawrence Erlbaum Associates. Bulut, S., Ekici, C. & Iseri, A. I. (1999). Bazı olasılık kavramlarının gelişimi için çalışma yapraklarının geliştirilmesi. Hacettepe University Journal of Education, 15, 129-136. Cai, J. (1995). Beyond the computational algorithm: Students’ understanding of the arithmetic average concept. In L. Meria & D. Carraher (Eds.), Proceeding of the 19th Psychology of Mathematics Education Conference ( Vol. 3. pp. 144-151). Cai, J. (1998). Exploring students' conceptual understanding of the averaging algorithm. School Science and Mathematics, 98(2), 93-98. Cai, J. (2000). Understanding and representing the arithmetic averaging algorithm: an analysis and comparison of US and Chinese students' responses. International Journal of Mathematical Education in Science and Technology, 31(6), 839-855. Fraenkel, J. R., & Wallen, N. E. (2006). How to design and evaluate research in education. New York, the USA: McGraw-Hill. Jacobbe, T., & Carvalho, C. (2011). Teachers’ understanding of averages. In C. Batanero, G. Burrill, & C. Reading (Eds.), Teaching statistics in school mathematics – Challenges for teaching and teacher education (pp. 199–209). Dordrecht: Springer. Ministry of National Education [MoNE]. (2005). İlkögretim matematik dersi ögretim programı 6-8. sınıflar: Ögretim programı ve kılavuzu Ankara,Turkey. Ministry of National Education [MoNE]. (2013). İlköğretim Okulu Ders Programları: Matematik Programı 5-6-7-8 (Elementary Curricula Programs:Mathematics Curricula Program for Middle Grades).Retrieved from http://ttkb.meb.gov.tr/www/guncellenen-ogretim-programlari/icerik/151. Mokros, J. & Russell, S. J. (1995). Children’s concepts of averages and representativeness. Journal for Research in Mathematics Education, 26, 20-39 Konold, C & Higgins, T. L. (2003), "Reasoning about data", In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to Principles and Standards for School Mathematics, Reston, VA: National Council of Teachers of Mathematics, pp.193-215. Pratt, D. (2005). Probability in teacher education and development. In G. A. Jones (Ed.), Exploring probability in school (pp. 171-190). New York: Springer Science+Business Media, Inc. Uçar, Z. T. & Akdoğan, E. N. (2009). Middle school students’ understanding of average. Elementary Education Online, 8(2), 391-400. Watson, J. M. & Moritz, J. B. (2001). Development of reasoning associated with pictographs: Representing, interpreting, and predicting. Educational Studies in Mathematics, 48, 47-81.
Year 2017, Volume: 6 , 24 - 30, 04.08.2017

Abstract

References

  • Becker, J. P. (Ed.), 1992. Report of U.S.–Japan Cross-National Research on Students’ Problem Solving Behaviors. Columbus, OH: ERIC/SMEAC Clearing House, ED 351/204. Bright, G. W. & Friel, S. N. (1998). Graphical representations: Helping students interpret data. In S. P. Lajoie (Ed.), Reflections on statistics: Learning, teaching, and assessment in grades K–12 (pp. 63–88). Hillsdale, NJ: Lawrence Erlbaum Associates. Bulut, S., Ekici, C. & Iseri, A. I. (1999). Bazı olasılık kavramlarının gelişimi için çalışma yapraklarının geliştirilmesi. Hacettepe University Journal of Education, 15, 129-136. Cai, J. (1995). Beyond the computational algorithm: Students’ understanding of the arithmetic average concept. In L. Meria & D. Carraher (Eds.), Proceeding of the 19th Psychology of Mathematics Education Conference ( Vol. 3. pp. 144-151). Cai, J. (1998). Exploring students' conceptual understanding of the averaging algorithm. School Science and Mathematics, 98(2), 93-98. Cai, J. (2000). Understanding and representing the arithmetic averaging algorithm: an analysis and comparison of US and Chinese students' responses. International Journal of Mathematical Education in Science and Technology, 31(6), 839-855. Fraenkel, J. R., & Wallen, N. E. (2006). How to design and evaluate research in education. New York, the USA: McGraw-Hill. Jacobbe, T., & Carvalho, C. (2011). Teachers’ understanding of averages. In C. Batanero, G. Burrill, & C. Reading (Eds.), Teaching statistics in school mathematics – Challenges for teaching and teacher education (pp. 199–209). Dordrecht: Springer. Ministry of National Education [MoNE]. (2005). İlkögretim matematik dersi ögretim programı 6-8. sınıflar: Ögretim programı ve kılavuzu Ankara,Turkey. Ministry of National Education [MoNE]. (2013). İlköğretim Okulu Ders Programları: Matematik Programı 5-6-7-8 (Elementary Curricula Programs:Mathematics Curricula Program for Middle Grades).Retrieved from http://ttkb.meb.gov.tr/www/guncellenen-ogretim-programlari/icerik/151. Mokros, J. & Russell, S. J. (1995). Children’s concepts of averages and representativeness. Journal for Research in Mathematics Education, 26, 20-39 Konold, C & Higgins, T. L. (2003), "Reasoning about data", In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to Principles and Standards for School Mathematics, Reston, VA: National Council of Teachers of Mathematics, pp.193-215. Pratt, D. (2005). Probability in teacher education and development. In G. A. Jones (Ed.), Exploring probability in school (pp. 171-190). New York: Springer Science+Business Media, Inc. Uçar, Z. T. & Akdoğan, E. N. (2009). Middle school students’ understanding of average. Elementary Education Online, 8(2), 391-400. Watson, J. M. & Moritz, J. B. (2001). Development of reasoning associated with pictographs: Representing, interpreting, and predicting. Educational Studies in Mathematics, 48, 47-81.
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Details

Journal Section Articles
Authors

Didem Enisoglu This is me

Mine Isiksal-bostan This is me

Publication Date August 4, 2017
Published in Issue Year 2017 Volume: 6

Cite

APA Enisoglu, D., & Isiksal-bostan, M. (2017). IDENTIFYING STUDENTS’ POSSIBLE SOLUTION STRATEGIES WHILE SOLVING QUESTIONS REGARDING THE CONCEPT OF MEAN. The Eurasia Proceedings of Educational and Social Sciences, 6, 24-30.