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2017 | 49 | 176-188

Article title

Year Five Pupils’ Understanding of Generalised Arithmetic

Content

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Abstracts

EN
This paper reports on the research on year five pupils’ understanding of generalised arithmetic, which aimed to investigate the understanding of year five pupils’ commutative property and the property of zero together with its correlation with their mathematical achievement. Data for the study were collected via paper and pencil assessment answers for two items. Findings showed moderate achievement for both of the tasks. The pupils’ explanation illustrated their poor conceptual understanding of commutative property and the property of zero. However, this understanding is not correlated with their mathematical achievement in school. It shows that an outstanding student in school did not necessarily acquire conceptual understanding of commutative principle and the property of zero.

Year

Volume

49

Pages

176-188

Physical description

Dates

published
2017

Contributors

References

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  • Herscovics, N., & Linchevski, L. (1994). A cognitive gap between arithmetic and algebra. Educational Studies in Mathematics, 27(1), 59-78. doi: 10.1007/BFo1284528
  • Hunter, 1. (2010, April). Developing early algebraic reasoning through exploration of the commutative principle. In M. ]oubert, & P. Andrews, Developing early algebraic reasoning through exploration of the commutative principle. Symposium conducted at the British Congress for Mathematics Education, Manchester, UK. Retrieved from http://www.bsrlm.org.uk/IPs/ip30- 1/BSRLM-IP-30-1-14pdf
  • Kaput, 1.1. (2008). What is algebra? What is algebraic reasoning? In 1.1. Kaput, D.W. Carraher, & M.L. Blanton (Eds.), Algebra in the early grades (pp. 5- 17). New York, NY: Taylor and Francis.
  • Knuth, E.1., Alibali, M.W., McNeil, N.M., Weinberg, A., & Stephens, A.C. (2005). Middle school students’ understanding of core algebraic concepts: Equivalence & variable. Zentralblattfur Didaktik der Mathematik, 37(1), 68-76. doi: 10.1007/BFo2655899
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  • Moss, I., & McNab, S.L. (2011). An approach to geometric and numeric patterning that fosters second grade students’ reasoning and generalizing about functions and co-variation. In ]. Cai, & E. Knuth (Eds.), Advances in mathematics education (pp. 277-301). New York, NY: Springer.
  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
  • Ralston, N.C. (2013). The development and validation of a diagnostic assessment of algebraic thinking skills for students in the elementary grades (Doctoral dissertation). Available from ProQuest Dissertations and Theses database. (UMI No. 3588844)
  • Schifter, D., Monk, S., Russell, S.J., & Bastable, V. (2008). Early algebra: What does under- standing the laws of arithmetic mean in the elementary grades? In ]. Kaput, D. Carraher, M. Blanton (Eds.), Algebra in the early grades (pp. 413-447). Mahwah, NJ: Erlbaum.
  • SlaVit, D. (1999). The role of operation sense in transitions from arithmetic to algebraic thought. Educational Studies in Mathematics, 37(3), 251-274. doi: 10.1023/A:1003602322232

Document Type

Publication order reference

Identifiers

Biblioteka Nauki
1997750

YADDA identifier

bwmeta1.element.ojs-doi-10_15804_tner_2017_49_3_14
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