# SOLVING FORM TWO STUDENTS’ FAILURE TO SUBTRACT DIRECTED NUMBERS IN MATHEMATICS: AN ACTION RESEARCH STUDY

## DOI:

https://doi.org/10.32332/linear.v4i1.6965## Keywords:

Solving students’ failure, Subtraction, Directed numbers, Form two, Action research## Abstract

*The purpose of this action research was to solve student’s failure to subtract directed numbers in Mathematics at junior secondary (Form Two) level. The study was conducted at a secondary school in Gweru, Zimbabwe. The research had two cycles. Cycle 1 had four participants, while Cycle 2 had one participant whose problem had not been solved in Cycle 1. Cycle 1 had three sessions: structured interview, implementation of the cooperative strategy and evaluation of the effectiveness of the cooperative strategy. The cooperative strategy was used in conjunction with the number line and the ‘having money-owing money’ techniques. Cycle 2 had two sessions namely: implementation of the counters model and evaluation of the effectiveness of the strategy. Results from the implementation of the cooperative strategy indicated that logical sequencing of concepts, group work and good presentation skills reduced possible misconceptions. The major reflection was that although the participants had seemed to have the same problem, the use of one strategy may not be effective as was the case for participant D. The results from the interviews highlighted the importance of continuously checking with the learners to reflect on the teacher’s practices. Results from the ‘two-colour counters’ showed the effectiveness in maintaining interest, motivation and concentration. The major limitation of the study was that the number line and the counters model were difficult to use, time consuming and laborious when large numbers were involved. The research has implications on the teaching and learning of directed numbers involving integers, fractions, decimals and algebraic expressions. A call for further research is also made. *

## References

Aris, R.M., Putri, R.I.I., & Susanti, E. (2017). Design Study: Integer Subtraction Operation Teaching Learning using Multimedia in Primary School. Journal on Mathematics Education, 8(1), pp. 95-102.

Ball, D. L. (1992). Magical hopes: Manipulatives and the reform of math education. American Educator, 26, pp. 14-18.

Bruno, A. & Martinon, A. (1999). The teaching of numerical extensions: The case of negative numbers. International Journal of Mathematical Education in Science and Technology, 30(6), pp789-809.

Cajori, F. (1991). History of mathematics (5th ed.). New York: Chelsea Publishing Company.

Cornelius-Ukpepi, B. U., Aglazor, G. N. & Odey, C. O (2016): Cooperative Learning Strategy as Tool for Classroom Management. Advances in Multidisciplinary Research Journal, 2(2), pp. 67-76.

Curriculum Development Unit (2006). Primary School Mathematics Syllabus. Curriculum Development Unit, Harare.

Furner, J. M., Yahya, N., & Duffy, M. L. (2005). Teach Mathematics: Strategies to Reach All Students. Intervention in School and Clinic, 41(1), pp. 16 -23. https://doi.org/10.1177/10534512050410010501

Kemmis, S.; McTaggart, R. (1988). The Action Research Planner. Geelong, Victoria Deakin University Press.

Makonye, J.P. & Fakude, J. (2016). A Study of Errors and Misconceptions in the Learning of Addition and Subtraction of Directed Numbers in Grade 8. SAGE Open, DOI: 10.1177/2158244016671375, pp 1-10.

McNeil, N.M. & Jarvin, L. (2007). When Theories Don't Add up: Disentangling the Manipulatives Debate. Theory Into Practice 46(4), pp. pp. 309-316.

Ministry of Primary and Secondary Education (2015). Mathematics Syllabus Forms 1 – 4, 2015-2022, Curriculum Development and Technical Services, Harare.

Oni, L. (2018). Effect of cooperative learning strategy on students’ achievement in and attitude to Mathematics. Harvard Conference on Preparing Students for an Uncertain Future, Boston, USA, Vol. 16, No. 1, pp. 55-66.

Sahat, N., Tengah, K.A. & Prahmana, R.C.I (2018). The teaching and learning of addition and subtraction of integers through manipulative in Brunei Darussalam, Journal of Physics: Conference Series doi:10.1088/1742-6596/1088/1/012024

Sen, G.L., Tengah, K.A., Shahrill, M., & Leong, E (2017). Teaching and learning of integers using hands-on versus virtual manipulatives, Proceeding of the 3rd International Conference on Education, Vol. 3, 2017, pp. 174-185, DOI: https://doi.org/10.17501/icedu.2017.3119

Steward, D. (n.d.) Effective models for directed number teaching in secondary maths, https://www.teachwire.net/news/effective-models-for-directed-number-teaching-in-secondary-maths/

Stoner, D.A. (2004). The effects of cooperative learning strategies on mathematics achievement among middle-grades students: A meta-analysis. PhD Dissertation Submitted to the Graduate Faculty of The University of Georgia, Athens.

Ulrich, C. (n.d.). The addition and subtraction of signed quantities. University of Georgia. http://www.uwyo.edu/wisdome/_files/documents/Ulrich.pdf

Wessman-Enzinger, N. M. & Mooney, E.S., (2019). "Conceptual Models for Integer Addition and Subtraction" Faculty Publications - School of Education. 247. https://digitalcommons.georgefox.edu/soe_faculty/247