Research Article

THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS

Volume: 4 September 1, 2016
  • Ernna Sukinnah Alı Rahman
  • Masitah Shahrıll
  • Nor ‘arifahwati Abbas
  • Abby Tan
EN

THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS

Abstract

This paper examines the students’ ability in using their mathematical skills when performing order of operations. In this study, the ‘hierarchy-of-operators triangle by Ameis (2011)’ was introduced as an alternative BODMAS approach to help students in gaining a better understanding behind the concept of the order of operations. The study of 21 Year 9 students in one of the government secondary schools in Brunei Darussalam used mixed qualitative and quantitative methods. Comparisons of the scores showed positive progress and greater improvement in the students’ performance. Interviews from the students were also analysed to gain further insight. Most of the interviewed students responded that it is easier for them to remember the triangle to remember the order of operations.

Keywords

References

  1. Ameis, J. A. (2011). The truth about pedmas. Mathematics Teaching in the Middle School, 16(7), 414-420. Bautista, G. (2012). Pemdas and the common errors in the order of operations. Retrieved from http://mathandmultimedia.com/2012/08/26/pemdas-common-errors/ Carpenter, T., & Lehrer, R. (1999). Teaching and learning mathematics with understanding. In E. Fennema, & T. Romberg (Eds.), Mathematics classrooms that promote understanding (pp.19-32). Mahwah, NJ: Lawrence Erlbaum Associates. DeLashmutt, K. (2007). A study of the role of mnemonics in learning mathematics. Summative Projects for MA Degree. University of Nebraska-Lincoln. Gill, P., Stewart, K., Treasure, E., & Chadwick, B. (2008). Methods of data collection in qualitative research: interviews and focus groups. British Dental Journal, 204(6), 291-295. Headlam, C., & Graham, T. (2009). Some initial findings from a study of children’s understanding of the order of operations. In M. Joubert (Ed.), Proceedings of the British Society for Research into Learning Mathematics (37-42). Kalder, R. S. (2012). Are we contributing to our students’ mistakes? The Mathematics Teacher, 106(2), 90-91. Lee, J. K., Lickwinko, S., & Taylor-Buckner, N. (2013). Exploring mathematical reasoning of the order of operations: rearranging the procedural component PEMDAS. Journal of Mathematics Education at Teachers College, 4(2), 73-78. Pungut, M. H. A., & Shahrill, M. (2014). Students’ English language abilities in solving mathematics word problems. Mathematics Education Trends and Research, [Online] 1-11. Vanderbeek, G. (2007). Order of operations and rpn. MAT Exam Expository Papers, 46. Yahya, N., & Shahrill, M. (2015). The strategies used in solving algebra by secondary school repeating students. Procedia – Social Behavioural and Sciences, 186, 1192-1200. Yasmeen, G. (2008). Action research: An approach for the teachers in higher education. TOJET: The Turkish Online Journal of Educational Technology, 7(4), 46-53.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ernna Sukinnah Alı Rahman This is me

Masitah Shahrıll This is me

Nor ‘arifahwati Abbas This is me

Abby Tan This is me

Publication Date

September 1, 2016

Submission Date

August 11, 2017

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4

APA
Alı Rahman, E. S., Shahrıll, M., Abbas, N. ‘arifahwati, & Tan, A. (2016). THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS. The Eurasia Proceedings of Educational and Social Sciences, 4, 409-413. https://izlik.org/JA97WE93EM
AMA
1.Alı Rahman ES, Shahrıll M, Abbas N ‘arifahwati, Tan A. THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS. EPESS. 2016;4:409-413. https://izlik.org/JA97WE93EM
Chicago
Alı Rahman, Ernna Sukinnah, Masitah Shahrıll, Nor ‘arifahwati Abbas, and Abby Tan. 2016. “THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS”. The Eurasia Proceedings of Educational and Social Sciences 4 (May): 409-13. https://izlik.org/JA97WE93EM.
EndNote
Alı Rahman ES, Shahrıll M, Abbas N ‘arifahwati, Tan A (May 1, 2016) THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS. The Eurasia Proceedings of Educational and Social Sciences 4 409–413.
IEEE
[1]E. S. Alı Rahman, M. Shahrıll, N. ‘arifahwati Abbas, and A. Tan, “THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS”, EPESS, vol. 4, pp. 409–413, May 2016, [Online]. Available: https://izlik.org/JA97WE93EM
ISNAD
Alı Rahman, Ernna Sukinnah - Shahrıll, Masitah - Abbas, Nor ‘arifahwati - Tan, Abby. “THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS”. The Eurasia Proceedings of Educational and Social Sciences 4 (May 1, 2016): 409-413. https://izlik.org/JA97WE93EM.
JAMA
1.Alı Rahman ES, Shahrıll M, Abbas N ‘arifahwati, Tan A. THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS. EPESS. 2016;4:409–413.
MLA
Alı Rahman, Ernna Sukinnah, et al. “THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS”. The Eurasia Proceedings of Educational and Social Sciences, vol. 4, May 2016, pp. 409-13, https://izlik.org/JA97WE93EM.
Vancouver
1.Ernna Sukinnah Alı Rahman, Masitah Shahrıll, Nor ‘arifahwati Abbas, Abby Tan. THE DEVELOPMENT OF STUDENTS’ MATHEMATICAL SKILLS IN THE EVALUATION OF NUMERICAL EXPRESSIONS INVOLVING ORDER OF OPERATIONS. EPESS [Internet]. 2016 May 1;4:409-13. Available from: https://izlik.org/JA97WE93EM