The Gap between the Beginning and the End of Algebraic Thinking Transition Period

Authors

  • Dian Permatasari Universitas Negeri Yogyakarta, Yogyakarta, Indonesia
  • Idris Harta Universitas Muhammadiyah Surakarta, Surakarta, Indonesia

DOI:

https://doi.org/10.12928/ijeme.v2i1.8655

Keywords:

algebraic thinking, the beginning of transition period, the end of transition period

Abstract

Algebraic thinking is an important element in mathematics thinking and reasoning. All students experience a transition to algebraic thinking. It happens from elementary school grade V until junior high school grade VII. This study aims to describe the differences in algebraic thinking ability from the beginning of transition period, elementary school grade V, until the end of the transition period, junior high school grade VII. This research was a cross-sectional research using mixed method approach. The results showed that students' algebraic thinking ability at the beginning of the transition period and at the end of the transition period was in moderate criteria. The average score in algebraic thinking test at the end of the transition period, junior high school grade VII, was higher than the students in junior high school grade V, but the algebraic thinking ability of students in elementary school grade V did not have much different with the students of junior high school grade VII, that was in the moderate criteria.

References

Azwar, S. (2016). Tes prestasi: Fungsi dan pengembangan pengukuran prestasi belajar. Yogyakarta: Pustaka Belajar.

Booker, G. (2009). Algebraic thinking: Generalising number and geometry to express patterns and properties succinctly. Brisbane: Griffith University.

Cai, J., & Moyer, J.C. (2008). Developing algebraic thinking in earlier grades: Some insights from international comparative studies. In C. Greenes & R. Rhubenstein (Eds.), Algebra and algebraic thinking in school mathematics (pp. 169-182). Reston, VA: National Council of Teachers of Mathematics.

Cohen, L., Manion, L., & Morrison, K. (2011). Research methods in education (7th ed.). New York: Routledge.

Creswell, J. W. (2009). Research design: Qualitative, quantitative and mixed approaches (3rd ed.). California: SAGE Publications, Inc.

Drijvers, P., Goddijn, A., & Kindt, M. (2011). Algebra education: Exploring topics and themes. In P. Drijvers (Ed.), Secondary algebra education: Revisiting topics and themes and exploring the unknown. Rotterdam: Sense Publishers.

Driscoll, M., Zawojeski, J., Humez, A., Nikula, J., Goldsmith, L., & Hammerman, J. (2003). The fostering algebraic thinking toolkit: A guide for staff development. Arlington, VA: EDRS.

Feldman, R.S., & University, R.S.F. (2011). Understanding psychology (10th ed.). New York: McGraw-Hill.

Freudenthal, H. (1977). What is algebra and what has it been in history? Archive for History of Exact Sciences, 16(3), 189–200.

Hidayanto, E. (2014). Transisi dari berpikir aritmetis ke berpikir aljabaris. Dissertation. Malang: Universitas Negeri Malang.

Inganah, S. (2016). Karakteristik berpikir aljabar siswa pada level multi struktural dalam menggeneralisasi pola. Proceeding of Seminar Nasional dan Gelar Produk (Senaspro), Malang, 305–314.

Kemdikbud. (2015). Permendikbud No. 5 Tahun 2015 tentang Kriteria Lulusan Peserta Didik, Penyelenggaraan Ujian Nasional, dan Penyelenggaraan Ujian Sekolah/Madrasah/Pendidikan Kesetaraan Pada SMP/Mts atau Yang Sederajat Dana SMK/MA/SMK atau Yang Sederajat. Jakarta: Kementerian Pendidikan dan Kebudayaan.

Kemdikbud. (2016). Permendikbud Nomor 24 Tahun 2016 Kompetensi Inti Dan Kompetensi Dasar Pelajaran Pada Kurikulum 2013 Pada Pendidikan Dasar dan Pendidikan Menengah. Jakarta: Kementerian Pendidikan dan Kebudayaan.

Kieran, C. (1998). The changing face of school algebra. Proceeding of 8th International Congress on Mathematics Education, Sevilla, 271–290.

Kieran, C. (2004). Algebraic thinking in the early grades : What is it? The Mathematics Educator, 8(1), 139–151.

Lew, H. (2004). Developing algebraic thinking in early frades: Case study of korean elementary school mathematics. The Mathematics Educator, 8(1), 88–106.

Mason, J., Graham, A., & Johnston-Wilder, S. (2005). Developing thinking in algebra. London: Paul Chapman Publishing.

Morgil, I., & Yörük, N. (2006). Cross-age study of the understanding of some concepts in chemistry subjects in science curriculum. Turkish Science Education, 3(1), 15–27.

NCTM. (2000). Principles and standards for school mathematics. Reston, VA: The National Council of Teachers of Mathematics.

Panasuk, R.M. (2010). Three phase ranking framework for assessing conceptual understanding in algebra using multiple representations. Education, 131(2), 235–257.

Puspita, I., Kaniawati, I., & Suwarma, I.R. (2017). Student obstacles in solving algebraic thinking problems. Journal of Physics Conference Series, 895(1), 1–6.

Santrock, J.W. (2011). Educational psychology (5th ed.). New York: McGraw-Hill.

Taylor-Cox, J. (2003). Algebra in the Early Years? Yes! Young Children, 58(1), 14–21.

Watson, A. (2007). Algebraic Reasoning. In W. Morris (Ed.), Key understandings in mathematics learning (pp. 186-227). London: Nuffield Foundation.

Windsor, W. (2008). Algebraic thinking : A problem solving approach. Proceeding of the 33rd Annual Conference of the Mathematics Education Research Group of Australasia, Freemantle, 665–672.

Downloads

Published

2018-02-24

How to Cite

Permatasari, D., & Harta, I. (2018). The Gap between the Beginning and the End of Algebraic Thinking Transition Period. International Journal on Emerging Mathematics Education, 2(1), 79–88. https://doi.org/10.12928/ijeme.v2i1.8655

Issue

Section

Articles