Institute of Industry and Academic Research Incorporated
Register in
IJSTEM Cover Page
International Journal of Science, Technology, Engineering & Mathematics

ISSN 2799-1601 (Print) 2799-161X (Online)

Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on Integers

Nurul Ain J. Harun, Kyrille Grace A. Cuevas, Olivia I. Asakil, Jayson V. Alviar, & Leo Jay V. Solon
Volume 3 Issue 3, September 2023

Abstract

One of the common misconceptions affecting mathematics performance of high school students involves operating integers. Evidently, students who were exposed to modular learning demonstrate poor mastery of the pre-requisite skills. This study aimed to assess the mastery level and misconceptions of the Grade 7 students involving operations on integers. A descriptive research design was used with a total of sixty-two (62) conveniently chosen Grade 7 students were twenty-nine (29) were males and thirty-three (33) were females. The Mean Percentage Scores (MPS) per operation on integers were calculated to describe the mastery level and the assessment results were analyzed to identify possible misconceptions of the students in operating integers. Similarly, data were analyzed using the Welch t-Test to determine if there is a difference in the level of mastery between the male and female students. Findings show that the overall MPS result is 50.56%, indicating that the students demonstrated Average Near Mastery (AVR) of the concepts involving operations on integers. In addition, there was no significant difference between the mastery level of male and female grade 7 students. Although the students demonstrated Average Near Mastery (AVR) in the given assessment, the item analysis showed various misconceptions and errors exhibited by the students regardless of sex and section. Students’ misconceptions include subtracting integers and dealing with negative numbers. Hence, an intervention is needed to address the misconceptions in subtracting integers and a reinforcement is proposed to enhance the students’ mastery in other operations on integers.

Keywords: Operations on Integers, Mastery Level, Mean Percentage Score, Misconceptions

References

Ali Rahman, E.S., Shahrill, M., Abbas, N., & Tan, A. (2017). Developing students’ mathematical skills involving order of operations. International Journal Of Research in Education and Science (IJRES), 3(2), 373-382. doi:10.2190/ijres.327896

Alsina, C., & Nelson, R. (2006). Math made visual: Creating images for understanding mathematics. United States of America: The Mathematical Association of America. doi:10.5948

Basilio, K. D., Asanon, F. J., Sahidena, R. A., Abdul, A. J., Espacio, L.-G. P., & Alviar, J. V. (2022). Ready or not ready: Extent of readiness in mathematics of grade 7 students. International Journal of Academic Pedagogical Research (IJAPR), 6(8), 81-85.

Booth, J. L., & Koedinger, K. R. (2008). Key misconceptions in algebraic problem solving. Human Computer Interaction Institute. Retrieved from https://www.researchgate.net/publication/281131215_Key_misconceptions_in_algebraic_problem_solving

Cetin, H. (2019). Explaining the concept and operations of integers in primary school mathematics teaching: Opposite moel sample. Universal Journal of Educational Research, 365-370. doi:10.13189

Delos Santos, K. B., Eduarte, A. R., Juaban, J. L., Abdul, R. J., Najimin, L. A., & Alviar, J. V. (2022). Effects of video tutorials on the mathematics achievement of students in modular distance learning. International Journal of Multidisciplinary Research and Publications, 5(2), 150-155.

Department of Education. (2019). PISA 2018: National report of the Phlippines. Retrieved from https://www.deped.gov.ph/wp-content/uploads/2019/12/PISA-2018-Philippine-National-Report.pdf

Department of Education. (2016). K to 12 Mathematics Curriculum Guide. Retrieved from https://depedbohol.org/v2/wp-content/uploads/2016/03/Math-CG_with-tagged-math-equipment.pdf

DepEd Memorandum no. 160 series of 2012. (n.d.). Maximizing utilization of the National Achievement Test (NAT) results to raise the achievement levels of low performing schools.

Dube, A., & Robinson, K. (2018). Children’s understanding of multiplication and division: Insights from a pooled analysis of seven studies conducted across seven years. British Journal of Developmental Psychology, 206-219. doi:10.1111/bjdp.12217

Jamaludin, N. H., & Maat, S. M. (2020). A systematic literature review on students misconceptions in mathematics. Academic Research in Business and Social Sciences, 10(6), 127-145. doi:10.6007/IJARBSS/v10-i6/7273

Fadillah, S., & Susiaty, U. (2019). Developing refutation text to resolve students’ misconceptions in additon and subtraction of integers. Beta: Jurnal Tadris Matematika, 12(1), 14-25. doi:10.20414/betajtm.v12i1.160

Fuadiah, N. F., Suryadi, D., & Turmudi. (2016). Some difficulties in understanding negative numbers faced by students a qualitative study applied at secondary schools in Indonesia. International Education Studies, 10(1), 24-38. doi:10.5539/ies.v10n1p24

Khalid, M., & Embong, Z. (2019). Sources and possible causes of errors and misconceptions in operations of integers. International Electronic Journal of Mathematics Education, 15(1). doi:10.29333/iejme/6265

Khun-Inkeeree, H., Omar-Fauzee, M. S., & Othman, M. K. (2016). Students’ attitude towards achievement in mathematics: A cross sectional study of year six students in Songklha province, Thailand. European Journal of Education Studies, 2(4). doi:10.5281

Koh, E. T., & Owen, W. L. (2000). Descriptive research and qualitative research. Introduction to Nutrition and Health Research, 221-222.

Lalian, O. (2019). The effects of using video media in mathematics Learning on students’ cognitive and aspects. AIP Conference Proceedings. Retrieved from https://doi.org/10.1063/1.5061865

Lamb, L. C., & Thanheiser, E. (2006). Understanding integers: Using balloons and weights software. Algebraic Thinking, 2, 163-164.

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. doi:10.1177?2158244016671375

Mejias, S., Muller, C., & Schiltz, C. (2019). Assessing mathematical school readiness. doi:10.3389/fpsyg.2019.01173

Nunez, R., & Lakoff, G. (2013). The metaphorical structure of mathematics: Sketching out cognitive foundations for a mind-based mathematics in mathematical reasoning. 29-98.

Nurnberger-Haag, J., Kratky, J., & Karpinski, A. C. (2022). The integer test of primary operations: A practical and validated assessment of middle school students’ calculations with negative numbers.

Pandey, B. D. (2017). A study of mathematical achievement of secondary school students. International Journal of Advanced Research, 12(5). doi:10.21474/IJAR01/6165

Permata, D., Wijayanti, P., & Masriyah. (2019). Students’ misconceptions on the algebraic prerequisites concept: Operation of integer numbers and fractions. The Sixth Seminar Nasional Pendidikan Matematika Universitas Ahmad Dahlan 2018. doi:10.1088/1742-6569/1188/1/012059

Purwaningrum, J., & Bintoro, H. (2019). Miskonsepsi matematika materi bilangan pada mahasiswa calon guru sekolah dasar. Prosiding Seminar Nasional MIPA Kolaborasi, 1(1), 173-180.

Rosyidah, A. N., Maulyda, M. A., Jiwandono, I. S., Oktaviyanti, I., & Gunawan, G. (2021). Misconceptions and errorss integer operations: A study in preservice elementary school teachers (PGSD). Journal of Physics: Conference Series. doi:10.1088/1742-6596/1779/1/012078

Rubin, R., Marcelino, J., Mortel, R., & Lapinid, M. C. (2014). Activity-based teaching of integer concepts and its operations. Paper presented at the DLSU Research Congress 2014 De La Salle Unversity, 1-16.

Sadler, J. T. (2012, July). The positives about negatives: A study of errors and misconceptions with integer operatios in adult education. Retrieved from http://hdl.handle.net/20.500.12648/221

Setyawati, R. D., & Indiati, I. (2O18). Analysis misconceptions of integers in microteaching Activities. Journal of Physics: Conference Series. doi:10.1088/1742-6596/1013/1/012146

Cite this article:

Harun, N.J., Cuevas, K.A., Asakil, O.I., Alviar, J.V. & Solon, L.V. (2023). Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on Integers. International Journal of Science, Technology, Engineering and Mathematics, 3 (3), 36-55. https://doi.org/10.53378/353000

License:

ai generated, holographic, interface-8578468.jpg
library, people, study-2245807.jpg
bookshelf, books, library-2907964.jpg
Scroll to Top