PRIMARY SCHOOL CHILDREN’S DIFFICULTIES IN NUMBERS AND OPERATIONS PROBLEMS

Authors

  • Elizabeth Abugri Deakin University, Melbourne, V.I.C., Australia
  • Damian Kofi Mereku Faculty of Science Education, University of Education Winneba, Ghana

DOI:

https://doi.org/10.29121/ijetmr.v11.i12.2024.1511

Keywords:

Addition and Subtraction, Number Concepts, Grade 3, Mathematics Difficulties

Abstract

This research used a mixed-methods descriptive survey approach, where we examined the responses of 47 children in Grade 3 to numbers and operations problems. In this study, we jointly addressed one objective: (1) determining children's challenges in solving addition/subtraction and number-related problems. The problems included 14 items, each comprising 1 to 7 tasks and required participants to answer in one-on-one interview form to identify their problem-solving difficulties. In this study, we qualitatively classified and provided descriptions for the problems encountered accordingly, and we quantitatively analysed the correct and incorrect responses using only descriptive statistics. One of the key findings that stood out was that almost 50% of the children faced difficulties in comprehending and applying number concepts and skills. They exhibited challenges, such as limited knowledge in recalling basic addition/subtraction facts and expressing numbers in multiple ways. While children were observed to have the potential to address problems, they encountered greater obstacles when performing additions and subtractions. Nevertheless, their struggles with numerical problems indicated an underlying incapacity to solve arithmetic operations accurately. The implication is that most children at the start of Grade 3 did not understand number concepts and strategies for solving addition and subtraction problems and required guidance to perform the tasks.

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References

Adu, J., Acquaye, E., Buckle, & Quansah, K. B. (2009). Report of the 2007 National Education Assessment (NEA), Assessment Services Unit of the Curriculum Research and Development Division, Accra: GES.

Amar, S. (2007). Misconceptions in numbers. UGRU Journal, 5, 1-7.

Australian Curriculum Assessment and Reporting Authority. (2015). Australian Curriculum. CANBERRA ACT: ACARA.

Baker, M. J. (2019). Number Sense and the Effects on Students' Mathematical Success. Northwestern College. Iowa: Northwestern College. Retrieved From NWCommons:

Baroody, A. J. (2016). Curricular Approaches to Connecting Subtraction to Addition and Fostering Fluency with Basic Differences in Grade 1. PNA, 10(3), 161-190. https://doi.org/10.30827/pna.v10i3.6087

Baroody, J. (2006). Why Children have Difficulties Mastering the Basic Number Combinations: How to Help Them. Teaching Children Mathematics, 13(1), 22-31. Retrieved from www.nctm.orghttps://doi.org/10.5951/TCM.13.1.0022

Berch, D. B. (2005). Making Sense of Number Sense: Implications for Children with Mathematical Disabilities. Journal of Learning Disabilities, 38(4), 333-339. https://doi.org/10.1177/00222194050380040901

Bryant, D., Bryant, B., Gersten, R., Scammacca, N., & Chavez, M. (2008). Mathematics intervention for first- and Second-Grade Students with Mathematics Difficulties. Remedial and Special Education, 29(1), 20-32. https://doi.org/10.1177/0741932507309712

Bussi, B. M., & Sun, X. H. (2018). Building the Foundation: Whole Numbers in the Primary Grades. Springer Nature. https://doi.org/10.1007/978-3-319-63555-2

Caldwell, J., Kobett, B., & Karp, K. (2014). Essential understanding of Addition and Subtraction in Practice, grade K-2. Reston, VA: NCTM.

Carmack, C. M. (2011). Investigating the Effects Of Addition with Regrouping Strategy Instruction Among Elementary Students with Learning Disabilities. UNLV Theses, Dissertations, Professional Papers, and Capstones. 1089. http://dx.doi.org/10.34917/2476187

Chin, L. C., & Zakaria, E. (2015). Understanding of Number Concepts and Number Operations Through Games in Early Mathematics Education. Creative Education, 6, 1306-1315. http://dx.doi.org/10.4236/ce.2015.612130

Clarke, D., Cheeseman, J., Gervasoni, A., Gronn, D., Horne, M., McDonough, A., Montgomery, P., Roche, A., Sullivan, P., Clarke, B. A., Rowley, G. (2002). Early Numeracy Research Project Final Report: Seeking Implications for Research into Classroom Practices. Melbourne: Department of Education, Employment and Training.

Clements, D. H., & Sarama, J. (2021). Learning and Teaching Early Math: The Learning Trajectories Approach (3rd ed.). Routledge. https://doi.org/10.4324/9781003083528

Creswell, J. W. (2009). Research Design: Qualitative, Quantitative, and mIxed Methods Approaches (3rd ed.). Sage Publication, Inc.

Creswell, J. W. (2014). Research dEsign: Qualitative, Quantitative, and Mixed Method Approaches (4th ed.). Sage Publication, Inc.

Davis, E. K., & Wilmot, E. M. (2010). An investigation of Primary and JHS Teachers' Attitudes Towards Mathematics in some Selected Schools in the Central Region of Ghana. Mathematics Connection, 9, 1-10. https://doi.org/10.4314/mc.v9i1.61551

De Smedt, B., Reynvoet, B., Swillen, A., Verschaffel, L., Boets, B., & Ghesquière, P. (2009). Basic Number Processing and Difficulties in Single-Digit Arithmetic: Evidence from Velo-Cardio-Facial Syndrome. Cortex, 45(2), 177-188. https://doi.org/10.1016/j.cortex.2007.06.003

Dowker, A., & Sigley, G. (2010). Targeted Interventions for Children with Arithmetical Difficulties. Understanding Number Development and Difficulties, 65-81. https://doi.org/10.1348/97818543370009X12583699332492

Eshun-Famiyeh, J. (2005). Early Number Competencies of Children at the Start of Formal Education. African Journal of Educational Studies in Mathematics and Sciences, 3, 21-33. Retrieved from

Forrester, P. A., & Chinnappan, M. (2010). The Predominance of Procedural Knowledge in Fractions. In L. Sparrow, B. Kissane, & C. Hurst (Eds.), Shaping the Future of Mathematics Education MERGA33 (pp. 185-192). MERGA Inc.

Fuchs, L. S., Fuchs, D., Powell, S. R., Seethaler, P. M., Cirino, P. T., & Fletcher, J. M. (2008). Intensive Intervention for Students with Mathematics Disabilities: Seven Principles of Effective practice. Learn Disabil Q, 31(2), 79-92. https://doi.org/10.2307/20528819

Geary, D. C. (2004). Mathematics and Learning Disabilities. Journal of Learning Disabilities, 37(1), 4-15. https://doi.org/10.1177/00222194040370010201

Griffiths, A. H., & Howson, A. G. (1974). Mathematics Society of Curricula (Vol. II). Cambridge University Press.

Jourdain, L., & Sharma, S. (2016). Language Challenges in Mathematics Education: A Literature Review. Waikato Journal of Education, 21(2), 43-56. https://doi.org/10.15663/wje.v21i2.269

Karp, K., Caldwell, J., Zbiek, R. M., & Bay-Williams, J. (2011). Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in pre-k-grade 2. National Council of Teachers of Mathematics.

Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding it up: Help Children Learn Mathematics, Washington, DC: National Research Council.

Larson, M. (2018). MY NCTM.

MacDonald, B. L., Moyer-Packenham, P. S., Westenskow, A., & Child, B. (2018). Components of Place Value Understanding: Targeting Mathematical Difficulties when Providing Interventions. School Science and Mathematics, 17-29. https://doi.org/10.1111/ssm.12258

Maclellan, E. (2012). Number sense: The Underpinning Understanding for Early Quantitative Literacy. Numeracy, 5(2), 1-19. http://dx.doi.org/10.5038/1936-4660.5.2.3

Mauhibah, R., & Karso, K. (2020). Student Difficulties in Addition and Subtraction of two-digit Numbers. The 2nd International Conference on Elementary Education, 2, pp. 618-623. Universitas Pendidikan Indonesia.

Mereku, D. K. (2014). Diploma Disease in Ghanaian Distance Education Upgrading Programmes for Teachers. Open Learning. The Journal of Open, Distance, and e-Learning, 29(1). https://doi.org/10.1080/02680513.2014.914430

Ministry of Education. (2007). Reforming Science and Mathematics Education in Basic Schools in Ghana: Report of the Committee to Review Basic School Science and Mathematics Education in Ghana. Accra: Ministry of Education.

Ministry of Education. (2012). Mathematics Curriculum for Primary Schools (Basic 1-3). National Council for Curriculum and Assessment (NaCCA), Ministry of Education.

Ministry of Education. (2014). Report on National Education Assessment in English and Mathematics at Primary 3 and Primary 6. National Education Assessment Unit/Curriculum Research and Development Division, Ghana Education Service.

Ministry of Education. (2016). Report on 2015 Early Grade Mathematics Assessment (EGMA) at Primary 2. National Education Assessment Unit/Curriculum Research and Development Division, Ghana Education Service.

Ministry of Education. (2019). Mathematics Curriculum for Primary Schools (Basic 1-3). National Council for Curriculum and Assessment (NaCCA), Ministry of Education.

Mohamed, M., & Johnny, J. (2011). Difficulties in Number Sense Among Students. Retrieved September 7, 2022 from ResearchGate:

Moller, K., Martignon, L., Wessolowski, S., Engel, J., & Nuerk, H. C. (2011). Effects of Finger Counting on Numerical Development: The Opposing Views of Neuro-Cognition and Mathematics Education. Frontiers in Psychology, 2, 328. https://doi.org/10.3389/fpsyg.2011.00328

Mullis, I. V. S., Martin, O. M., Foy, P. & Arora, A. (2012). TIMSS 2011 International Results in Mathematics. TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College.

Mullis, I. V. S., Martin, O. M., Gonzalez, E. J., & Chrostowski, S. J. (2004). TIMSS 2003 International Mathematics Report. TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College.

Mulwa, E. C. (2014). The Role of the Language of Mathematics in Students' understanding of Number Concepts in Eldoret Municipality, Kenya. International Journal of Humanities and Social Science, 4(3), 264-274.

National Council of Teachers of Mathematics. (2000). Curriculum and Evaluation Standards for School Mathematics. Reston: VA: NCTM.

Obed, K. (2019). Error and Misconceptions in Basic Mathematical Operations - Third and Fourth Graders in Vanuatu. NUE Journal of International Educational Cooperation, 13, 73-79.

Ojose, B. (2015). Students' Misconceptions in Mathematics: Analysis of Remedies and what Research says. Ohio Journal of School Mathematics, 72, 30-34.

Okpoti, C. A. (2004). Basic School Pupils' Strategies in Solving Subtraction Problems. Mathematics Connection, 4, 31-37. https://doi.org/10.4314/mc.v4i1.21498

Prathana, P., Wongwanich, S., & Sujiva, S. (2014). An Analysis of Elementary School Students' Difficulties in mAthematical Problem Solving. Procedia - Social and Behavioral Sciences, 116, 3169 - 3174. http://dx.doi.org/10.1016/j.sbspro.2014.01.728

Republic of Ghana. (2015). The Composite Budget of the Effutu Municipal Assembly for the 2015 fiscal year. Efutu Municipal - Winneba. Ghana Press.

Senftleben, M., Handler, M., Khoury, P., Lee, & Nari. (2012). Study on Misappropriation of Signs.

Siniguian, M. T. (2017). Students Difficulty in Solving Mathematical Problems. International Journal of Advanced Research in Engineering and Applied Sciences, 6(2), 1-12.

Sood, S., & Jitendra, A. (2007). A Comparative Analysis of Number Sense Instruction in Reform-Based and traditional mathematics textbooks. Journal of Special Education, 41(3), 145. 157. https://doi.org/10.1177/00224669070410030101

Torbeyns, J., & Verschaffel, L. (2015). Mental Computation or Standard Algorithm? Children's Strategy Choices On Multi-Digit Subtractions. European Journal of Psychology of Education, 31(2), 1-36. https://doi.org/10.1007/s10212-015-0255-8

USAID/Ghana Learning. (2018). Ghana Numeracy Pilot Impact Evaluation 2017 Baseline Report. Accra: FHI360 USAID/Ghana Partnership for Education

Van de Walle, J. A., Karp, K. S., & Bay-Willaims, J. M. (2016). Elementary and Middle School Mathematics: Teaching Developmentally (9th ed.). Pearson Education.

West Africa Examinations Council. (2012). Basic Education Certificate Examination, Chief Examiners Report. Ministry of Education.

Widjaja, W., Stacey, K., & Steinle, V. (2008). Miskonsepsi Tentang Bilangan Desimal Dari Calon Guru. Widyadharma, 18(2), 141-154.

Yang, D.C. (2003). Teaching and learning Number Sense - An Intervention Study of Fifth-Grade Students in Taiwan. International Journal of Science and Mathematics Education, 1, 115-134. https://doi.org/10.1023/A:1026164808929

Yang, D.C., Li, M. F., & Li, W. J. (2008). Development of a Computerised Number Sense Scale for 3rd Graders: Reliability and Validity Analysis. International Electronic Journal of Mathematics Education, 3, 110-124. https://doi.org/10.29333/iejme/222

Yilmaz, Z. (2017). Young Children's Number Sense Development: Age-related Complexity Across Cases of three Children. International Electronic Journal of Elementary Education, 9(4), 891-902.

Zanzali, N. A. A., & Ghazali, M. (2018). Assessment of school children's Number Sense. 30-38. Retrieved from 2020, February 9.

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Published

2024-12-13

How to Cite

Abugri, E., & Mereku, D. K. (2024). PRIMARY SCHOOL CHILDREN’S DIFFICULTIES IN NUMBERS AND OPERATIONS PROBLEMS. International Journal of Engineering Technologies and Management Research, 11(12), 1–21. https://doi.org/10.29121/ijetmr.v11.i12.2024.1511