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THE EXAMINATION OF 7TH GRADE STUDENTS’ ACHIEVEMENTS IN MATHEMATICAL PATTERNS

Year 2016, Volume: 4 , 519 - 529, 01.09.2016

Abstract

The aim of this study is to determine the 7th grade
students’ achievements in mathematical patterns presented by figures, tables,
number sequences, and word problems.
This research is a
situation determination study where quantitative methodology is used.
The sample of the study consisted of 47 female and 50 male
students, totally 97 students from 7th grades in Giresun city on
2015-2016 academic year. Pattern topic oriented 7 questions were used as the
data gathering tool. The questions which focused on the attainments of pattern
topic were prepared by the researcher. It was determined that students could
perform specialization in figural patterns but they couldn’t reach a
generalization. In other words, it was observed that students could find the
required steps according to a given rule and so they could easily reach the
situation which involved operational knowledge. Also, it was seen that although
students found the number of figures in the next step of the pattern, they
couldn’t find the general rule that represented the pattern. Another result of
the study was that students could recognize patterns of number sequences but
they couldn’t find the general term of the pattern. Lastly, it was determined
that students couldn’t understand patterns which were represented as word
problems and they failed at these kind of pattern questions but they had
success in pattern questions represented by tables. In this context, it can be
offered to give much place to representation forms of patterns by figures,
tables, number sequences, and word problems while students are given
experiences of patterns.

References

  • Altun, M. (2015). Mathematics education (grades 5, 6, 7, and 8) at middle schools (11th Ed.). Bursa: Alfa Academy Press Publishing. Arslan, S. & Yıldız, C. (2010). Reflections from the experiences of 11th graders during the stages of mathematical thinking. Education and Science, 35(156), 17-31. Australian Education Council. (1994). Mathematics: A curriculum profile for Australian schools. Carlton, VIC: Curriculum Corporation. Baki, A. (1997). Educating mathematics teachers. Medical Journal of Islamic Academy of Sciences, 10(3). Baki, A. & Kartal, T. (2004). Characterization of algebra knowledge of high school students in terms of conceptual and procedural knowledge. Journal of Turkish Educational Sciences, 2(1), 27-46. Bekdemir, M., Okur, M., & Gelen, S. (2010). The effects of 2005 elementary mathematics education curriculum on the elementary seventh grade students’ conceptual and procedural knowledge and skills. Journal of Erzincan Faculty of Education, 12(2), 131-147. Burns, M. (2000). About teaching mathematics. A-K8 research (2nd Ed.). Sausalito, California. CA: Math Solutions Publication. Çepni, S. (2014). Introduction to research and project studies (7th Ed.). Trabzon: Celepler Press. Devlin, K. (1998). Life by the numbers. Canada: John Wiley and Sons. Fox, J. (2005). Child-initiated mathematical patterning in the pre-compulsory years. In H. L. Chick, & J. L. Vincent (Eds.), Proceeding of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 313-320). Melbourne: PME. Guerrero, L. & Rivera, A. (2002). Exploration of patterns and recursive functions. In D. S. Mewborn, P. Sztajn, D. Y. White, H. G. Heide, R. L. Bryant, & K. Nooney (Eds.), Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1-4, pp. 262-272). Athens, Georgia: PME-NA. Hacısalihoğlu Karadeniz, M., Aydın Güç, F., & Tülek, G. (2014). Tessellation success of 8th grade students in the context of regular-semi regular and irregular tessellations. 1. Eurasian Educational Research Congress, İstanbul / Turkey. Hacısalihoğlu Karadeniz, M., Bozkuş, F., Gündüz, N., & Baran, T. (2015). Difficulties of prospective elementary mathematics teachers’ regarding to reflection symmetry. Turkish Journal of Computer and Mathematics Education, 6(1), 117-138. Kaya, D. & Keşan, C. (2012). Conceptual and operational implementations for numeric section students who are a candidate for university. Journal of Research in Education and Teaching, 1(3), 347-351. Keskin, M., Akbaba Dağ, S., & Altun, M. (2013). Comparison of 8th and 11th grade students’ behaviors at mathematical thinking. Journal of Educational Sciences, 1, 33-50. Ley, A. F. (2005). A cross-sectional investigation of elementary school student’s ability to work with linear generalizing patterns: The impact of format and age on accuracy and strategy choice. Unpublished Master’s Thesis, Toronto, Canada. Ministry of National Education [MoNE]. (2005). Elementary school mathematics curriculum (1st-5th grade). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2006). Preschool curriculum (for 36-72 months old children). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2009a). Elementary school mathematics curriculum (1st-5th grades). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2009b). Elementary school mathematics curriculum (6th-8th grades). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2013a). Preschool curriculum. Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2013b). Middle school mathematics curriculum (5th-8th grades). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2015). Primary school mathematics curriculum (1st-4th grades). Ankara: Ministry of National Education Head Council of Education and Morality. Mullis, I. V. S., Martin, M. O., & Foy, P. (2005). IEA’s TIMSS 2003 international report on achievement in the mathematics cognitive domains. Findings from a developmental project. Chestnut Hill, MA: Boston College. National Council of Teachers of Mathematics. (2000). Overview of principles and standards for school mathematics. Retrieved November 28, 2012, from http://www.nctm.org/standards/content.aspx?id=16909. Olkun, S. & Toluk-Uçar, Z. (2006). Modern approaches to mathematics education for elementary education. Ankara: Ekinoks Publication. Palabıyık, U. & İspir, O. A. (2011). The effects of pattern-based algebra instruction on students’ algebraic thinking and attitude towards mathematics. Pamukkale University Journal of Education, 30, 111-123. Papic, M. & Mulligan, J. T. (2007). The growth of early mathematical patterning: An intervention study. In J. Watson, & K. Beswick (Eds), Mathematics: Essential Research, Essential Practice. Vol. 2, (Proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia, pp. 591-600). Adelaide: MERGA. Pilten, P. (2008). The effect of metacognitive instruction on mathematical reasoning of fifth grade primary school students. Unpublished doctoral thesis, Gazi University, Institute of Educational Sciences, Ankara. Schliemann, A. D., Carraher, D. W., & Brizuella, B. (2001). When tables become function tables. Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education. Vol. 4 (pp.145-152). Utrecht, The Netherlands. Souviney, R. J. (1994). Learning to teach mathematics (2nd Ed.). Englewood Cliffs: Macmillan Publishing Company. Soylu, Y. & Aydın, S. (2006). A study on importance of the conceptual and operational knowledge are balanced in mathematics lessons. Journal of Erzincan Faculty of Education, 8(2), 83-95. Stacey, K., Burton, L., & Mason, J. (1985). Thinking mathematically. England: Addison-Wesley Publishers. Tanışlı, D. & Özdaş, A. (2009). Strategies used to generalize patterns by 5th grade elementary school students. Educational Sciences: Theory & Practice, 9(3), 1453-1497. Van De Walle, J. A. (2004). Elementary and middle school mathematics: Teaching developmentally (5th Ed.) Boston: Allyn and Bacon. Waters, J. (2004). A study of mathematical patterning in early childhood settings. In I. Putt, R. Faragher, M. McLean (Eds.). Mathematics education for the 3rd millennium: Towards 2010 (pp. 565-572). Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia. Sydney: MERGA. Yaman, H. & Umay, A. (2013). The elementary students’ perceptions of mathematical patterns according to presentation forms. Hacettepe University Journal of Education, 28(1), 405-416.
Year 2016, Volume: 4 , 519 - 529, 01.09.2016

Abstract

References

  • Altun, M. (2015). Mathematics education (grades 5, 6, 7, and 8) at middle schools (11th Ed.). Bursa: Alfa Academy Press Publishing. Arslan, S. & Yıldız, C. (2010). Reflections from the experiences of 11th graders during the stages of mathematical thinking. Education and Science, 35(156), 17-31. Australian Education Council. (1994). Mathematics: A curriculum profile for Australian schools. Carlton, VIC: Curriculum Corporation. Baki, A. (1997). Educating mathematics teachers. Medical Journal of Islamic Academy of Sciences, 10(3). Baki, A. & Kartal, T. (2004). Characterization of algebra knowledge of high school students in terms of conceptual and procedural knowledge. Journal of Turkish Educational Sciences, 2(1), 27-46. Bekdemir, M., Okur, M., & Gelen, S. (2010). The effects of 2005 elementary mathematics education curriculum on the elementary seventh grade students’ conceptual and procedural knowledge and skills. Journal of Erzincan Faculty of Education, 12(2), 131-147. Burns, M. (2000). About teaching mathematics. A-K8 research (2nd Ed.). Sausalito, California. CA: Math Solutions Publication. Çepni, S. (2014). Introduction to research and project studies (7th Ed.). Trabzon: Celepler Press. Devlin, K. (1998). Life by the numbers. Canada: John Wiley and Sons. Fox, J. (2005). Child-initiated mathematical patterning in the pre-compulsory years. In H. L. Chick, & J. L. Vincent (Eds.), Proceeding of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 313-320). Melbourne: PME. Guerrero, L. & Rivera, A. (2002). Exploration of patterns and recursive functions. In D. S. Mewborn, P. Sztajn, D. Y. White, H. G. Heide, R. L. Bryant, & K. Nooney (Eds.), Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1-4, pp. 262-272). Athens, Georgia: PME-NA. Hacısalihoğlu Karadeniz, M., Aydın Güç, F., & Tülek, G. (2014). Tessellation success of 8th grade students in the context of regular-semi regular and irregular tessellations. 1. Eurasian Educational Research Congress, İstanbul / Turkey. Hacısalihoğlu Karadeniz, M., Bozkuş, F., Gündüz, N., & Baran, T. (2015). Difficulties of prospective elementary mathematics teachers’ regarding to reflection symmetry. Turkish Journal of Computer and Mathematics Education, 6(1), 117-138. Kaya, D. & Keşan, C. (2012). Conceptual and operational implementations for numeric section students who are a candidate for university. Journal of Research in Education and Teaching, 1(3), 347-351. Keskin, M., Akbaba Dağ, S., & Altun, M. (2013). Comparison of 8th and 11th grade students’ behaviors at mathematical thinking. Journal of Educational Sciences, 1, 33-50. Ley, A. F. (2005). A cross-sectional investigation of elementary school student’s ability to work with linear generalizing patterns: The impact of format and age on accuracy and strategy choice. Unpublished Master’s Thesis, Toronto, Canada. Ministry of National Education [MoNE]. (2005). Elementary school mathematics curriculum (1st-5th grade). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2006). Preschool curriculum (for 36-72 months old children). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2009a). Elementary school mathematics curriculum (1st-5th grades). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2009b). Elementary school mathematics curriculum (6th-8th grades). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2013a). Preschool curriculum. Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2013b). Middle school mathematics curriculum (5th-8th grades). Ankara: Ministry of National Education Head Council of Education and Morality. Ministry of National Education [MoNE]. (2015). Primary school mathematics curriculum (1st-4th grades). Ankara: Ministry of National Education Head Council of Education and Morality. Mullis, I. V. S., Martin, M. O., & Foy, P. (2005). IEA’s TIMSS 2003 international report on achievement in the mathematics cognitive domains. Findings from a developmental project. Chestnut Hill, MA: Boston College. National Council of Teachers of Mathematics. (2000). Overview of principles and standards for school mathematics. Retrieved November 28, 2012, from http://www.nctm.org/standards/content.aspx?id=16909. Olkun, S. & Toluk-Uçar, Z. (2006). Modern approaches to mathematics education for elementary education. Ankara: Ekinoks Publication. Palabıyık, U. & İspir, O. A. (2011). The effects of pattern-based algebra instruction on students’ algebraic thinking and attitude towards mathematics. Pamukkale University Journal of Education, 30, 111-123. Papic, M. & Mulligan, J. T. (2007). The growth of early mathematical patterning: An intervention study. In J. Watson, & K. Beswick (Eds), Mathematics: Essential Research, Essential Practice. Vol. 2, (Proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia, pp. 591-600). Adelaide: MERGA. Pilten, P. (2008). The effect of metacognitive instruction on mathematical reasoning of fifth grade primary school students. Unpublished doctoral thesis, Gazi University, Institute of Educational Sciences, Ankara. Schliemann, A. D., Carraher, D. W., & Brizuella, B. (2001). When tables become function tables. Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education. Vol. 4 (pp.145-152). Utrecht, The Netherlands. Souviney, R. J. (1994). Learning to teach mathematics (2nd Ed.). Englewood Cliffs: Macmillan Publishing Company. Soylu, Y. & Aydın, S. (2006). A study on importance of the conceptual and operational knowledge are balanced in mathematics lessons. Journal of Erzincan Faculty of Education, 8(2), 83-95. Stacey, K., Burton, L., & Mason, J. (1985). Thinking mathematically. England: Addison-Wesley Publishers. Tanışlı, D. & Özdaş, A. (2009). Strategies used to generalize patterns by 5th grade elementary school students. Educational Sciences: Theory & Practice, 9(3), 1453-1497. Van De Walle, J. A. (2004). Elementary and middle school mathematics: Teaching developmentally (5th Ed.) Boston: Allyn and Bacon. Waters, J. (2004). A study of mathematical patterning in early childhood settings. In I. Putt, R. Faragher, M. McLean (Eds.). Mathematics education for the 3rd millennium: Towards 2010 (pp. 565-572). Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia. Sydney: MERGA. Yaman, H. & Umay, A. (2013). The elementary students’ perceptions of mathematical patterns according to presentation forms. Hacettepe University Journal of Education, 28(1), 405-416.
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Details

Journal Section Articles
Authors

Mihriban Hacısalihoğlu Karadeniz This is me

Cemalettin Yıldız This is me

Publication Date September 1, 2016
Published in Issue Year 2016 Volume: 4

Cite

APA Hacısalihoğlu Karadeniz, M., & Yıldız, C. (2016). THE EXAMINATION OF 7TH GRADE STUDENTS’ ACHIEVEMENTS IN MATHEMATICAL PATTERNS. The Eurasia Proceedings of Educational and Social Sciences, 4, 519-529.