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An exploration of grade 2 learners’ experiences in solving addition and subtraction word problems

G Cheva(1), Chipo Makamure(2Mail), ZMM Jojo(3),
(1) University of South Africa, Pretoria, South Africa
(2) University of South Africa, Pretoria, South Africa
(3) University of South Africa, Pretoria, South Africa

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Abstract


Mathematics has always been a major part of school curricula in most countries. It provides a variety of useful tools that help students to solve problems that they encounter in everyday life. Mathematical tools are considered powerful, as long as one knows how to employ them across a range of suitable situations. However, selecting and using these tools appropriately appear to be challenging for many students. Because of this, word problems have been included in mathematics education to offer practice for students in applying mathematical skills effectively in various problem situations confronted in everyday circumstances. In addition, there is limited research about how learners in the foundation phase (Grades 1-3) solve addition and subtraction word problems. A relatively recent review of South African studies on mathematics education has revealed a paucity of research at the primary school level. This study therefore seeks to explore grade 2 learners’ experiences in solving addition and subtraction word problems. A qualitative research was conducted to describe grade 2 learners experience whilst solving addition and subtraction problems. Only 6 learners in grade 2 were selected to participate in this study. Learners demonstrated a strong preference for paper and pencil methods as well as the standard algorithm, when solving problems in word format. However, little evidence exists within the study that any of the learners conceptually understood the algorithm. The use of base 10 blocks to model the partial sums and partial differences algorithms would help most of the learners to develop a conceptual understanding of addition and subtraction of word problems in mathematics.


Keywords


Addition and subtraction; Cognition-based assessment (CBA); Standard Algorithm; Word problems;

   

Article DOI



DOI: https://doi.org/10.33122/ijtmer.v6i3.214
       

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Article Pages


Pages: 220-230

   

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References


Anwar, R.B. & Rahmawati, D. (2017). Symbolic and Verbal Representation Process of Student in Solving Mathematics Problem Based Polya’s Stages, International Education Studies, 10(10), 20-28. https://doi.org/10.5539/ies.v10n10p20.

Battista, M. T. (2001). How do children learn mathematics? Research and reform in mathematics education. In T. Loveless, the great curriculum debate: How should we teach reading and math? (pp. 42-84). Washington, DC: Brookings Press.

Capone, R., Filiberti, F., Lemmo, A. (2021). Analyzing Difficulties in Arithmetic Word Problem Solving: An Epistemological Case Study in Primary School. Education Sciences, 2021, 11, 596. https://doi.org/10.3390/ educsci11100596.

Carnoy, M. L., Chisholm, A. N., Arends, F., Baloyi, H., & Irving, M. (2012). The Low Achievement Trap: Comparing Schooling in Botswana and South Africa. Pretoria: HSRC.

Carpenter, T.P., Moser, J.M., & Romberg, T.A. (2020). Addition and Subtraction: A Cognitive Perspective (e-book). Routledge, London. https://doi.org/10.4324/9781003046585

Common core state standards initiative: Preparing America’s students for college and career. (2010). Retrieved from www.corestandards.org.

Dalvit, L., & Murray, S. (2009). Deconstructing language myths: which languages of learning and teaching in South Africa? Journal of Education, 46, 33-56.

Daroczy G, Wolska M, Meurers WD, Nuerk HC. (2015). Word problems: a review of linguistic and numerical factors contributing to their difficulty. Frontiers Psychology, 1(6), 348. https://doi.org/10.3389/fpsyg.2015.00348.

DBE. (2012). Report on the Annual National Assessments 2012: Grades 1 to 6 & 9. Pretoria: Department of Basic Education.

DBE. (2013). Annual National Assessments. Diagnostic Report Foundation Phase: Mathematics and Home Language. Pretoria: Department of Basic Education Republic of South Africa.

DOE. (2008). Foundations For Learning Campaign. Pretoria: Department of Education.

Edmonds-Wathen, C. (2015). Indigenous Language Speaking Students Learning Mathematics in English: Expectations of and for Teachers, Australian Journal of Indigineous Education, 44(1), 1-11. https://doi.org/10.1017/jie.2015.9.

Ensor, P., Dunne., T., Galant., J., Gumedze, F., Jaffer, S., Reeves, C., & Tawodzera, G. (2002). Textbooks, teaching and learning in primary mathematics classrooms. African Journal of Research in Mathematics, Science and Technology Education, 6, 21-35.

Fleisch, B. (2008). Primary education in crisis: Why South African schoolchildren underachieve in reading and mathematics. Global Juta.

Graven, M. (2012). Accessing and assessing young learners’ mathematical dispositions. South African Journal of Childhood Education, 2(1), 49-62. Graven.

Hoadley, U. (2012). What do we know about teaching and learning in South African primary schools? Education As Change, 16(2), 187-202.

Hopkins, S., Russo, J. & Siegler, R. (2022). Is counting hindering learning? An investigation into children’s proficiency with simple addition and their flexibility with mental computation strategies, Mathematical Thinking and Learning, 24(1), 52-69. https://doi.org/10.1080/10986065.2020.1842968

Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Helping children learn mathematics. Washington DC: National Academy Press.

Koedinger, K. R., & Nathan, M. J. (2004). The real story behind story problems: Effects of representations on quantitative reasoning, The Journal of Learning Sciences, 13(2), 129-164.

Lee, Ji-Eun, Hwang, S. (2022). Elementary Students’ Exploration of the Structure of a Word Problem Using Representations, International Electronic Journal of Elementary Education, 14(3), 269-281. https://doi.org/10.26822/iejee.2022.243.

Makamure, C. (2019). The Practicality of Teaching Mathematics in Shona in the Zimbabwean Primary Schools. UNISA Proceedings. https://uir.unisa.ac.za/bitstream/handle/10500/26167/Math%2014%20paper%2024.pdf?isAllowed=y&sequence=1

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, 6(4). https://doi.org/10.1177/2158244016671375

Marcus, R., & Fey, J. (2003). Selecting quality tasks for problem-based teaching. In H. L. Shoen, & R. Charles, Teaching mathematics through problem solving: Grades 6-12 (pp. 55-67). Reston, VA: NCTM.

Pongsakdi, N., Laine, T., Veermans, K., Hannula-Sormunen, M.H. & Lehtinen, E. (2016). Improving Word Problem Performance in Elementary School Students by Enriching Word Problems Used in Mathematics Teaching. https://www.researchgate.net/publication/291119012.

Schollar, E. (2008). Final Report: The primary mathematics research project.

Sepeng, P. (2014). Learners’ Voices on the Issues of Language Use in Learning Mathematics. International Journal of Educational Sciences, 6(2), 207215.

Setati, M., Adler, J., Reed, Y., & Bapoo, A. (2002). Incomplete journeys: Codeswitching and other language practices in mathematics, science and English language classrooms in South Africa. Language and Education, 128-149.

Singh, P. & Hoon, T.S. (2010). An Analysis of Addition and Subtraction Word Problems in Mathematics Textbooks Used in Malaysian Primary School Classrooms. Brunei International Journal of Science and Mathematics Education, 2(1), 68-85.

Taylor, N. (2011). The National School Effectiveness Study (NSES). Johannesburg: JET Education services.

University of Cape Town News. https://www.news.uct.ac.za/article/-2020-01-10-why-south-africas-declining-maths-performance-is-a-worry

Venkat & Askew, M. (2018). Mediating primary mathematics: theory, concepts, and a framework for studying practice, Educational Studies in Mathematics, 97(1), 71-92 https://www.jstor.org/stable/45185390.

Vukovic, R. K., & Lesaux, N. K. (2013). The language of mathematics: Investigating the ways language counts for children’s mathematical development. Journal of Experimental Child Psychology, 115(2), 227–244. https://doi.org/10.1016/j.jecp.2013.02.002


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