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

Year 2016, Volume: 4 , 409 - 413, 01.09.2016

Ernna Sukinnah Alı Rahman Masitah Shahrıll Nor ‘arifahwati Abbas Abby Tan

https://izlik.org/JA97WE93EM

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

Order of operations , numerical expressions , secondary mathematics

References

• 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.