Errors, representations, and instructional coherence in a secondary mathematics textbook: evidence from the grade 10 curriculum in the Kurdistan region of Iraq

Authors

  • Shwan Alshatri Rozht High School, Sulaymaniyah, Iraq
  • Savyia Farouq Azmar College for Gifted Students, Sulaymaniyah, Iraq

DOI:

https://doi.org/10.30862/jhm.v9i1.1041

Keywords:

Curriculum Errors, High School Students, Mistakes, Secondary Mathematics Textbook

Abstract

Mathematics textbooks are central to classroom instruction and play a crucial role in supporting students’ conceptual understanding of mathematical ideas. Because textbooks often serve as the primary instructional resource, errors in their content may contribute to misconceptions, impede learning, and negatively affect students’ mathematical reasoning and problem-solving abilities. This study aimed to identify and analyze errors in the Grade 10 mathematics textbook used in secondary schools in the Kurdistan Region of Iraq during the 2015–2025 curriculum implementation period. A qualitative document analysis approach was employed through a systematic examination of textbook chapters, lessons, worked examples, exercises, graphical representations, and explanatory sections. The identified errors were classified into four categories: incorrectly solved examples, instructional and conceptual deficiencies, printing and graphical errors, and translation- or language-related errors. The analysis revealed eleven errors, including ten major errors and one minor error. Several of these errors were found to have the potential to adversely influence students’ conceptual understanding and mathematical performance. The findings highlight the importance of rigorous textbook evaluation and quality assurance procedures to ensure the accuracy, clarity, and pedagogical effectiveness of mathematics instructional materials in secondary education.

References

Abedi, J., & Lord, C. (2001). The language factor in mathematics tests. Applied Measurement in Education, 14(3), 219–234. https://doi.org/10.1207/S15324818AME1403_2

Arhin, J., & Hokor, E. K. (2021). Analysis of high school students’ errors in solving trigonometry problems. Journal of Mathematics and Science Teacher, 1(1), 1-16. https://doi.org/10.29333/mathsciteacher/11076

Fan, L., Zhu, Y., & Miao, Z. (2013). Textbook research in mathematics education: Development status and directions. ZDM - International Journal on Mathematics Education, 45(5), 633–646. https://doi.org/10.1007/s11858-013-0539-x

Gorgun, G., & Botelho, A. F. (2023). Enhancing the automatic identification of common math misconceptions using natural language processing. In Communications in Computer and Information Science (Vol. 1831 CCIS, pp. 302–307). https://doi.org/10.1007/978-3-031-36336-8_47

Harefa, D. (2023). The relationship between students'interest in learning and mathematics learning outcomes. Afore: Jurnal Pendidikan Matematika, 2(2), 1-11.

Kakashekh, H. M., & Mirdan, D. S. (2023). Critical thinking in the Kurdistan region of Iraq Schools: A case study of Two Prominent Schools in Erbil. UKH Journal of Social Sciences, 7(1), 20-27 https://doi.org/10.25079/ukhjss.v7n1y2023.pp20-27

Nwoke, B. I., Duru, D. C., Ahanotu, C., & Ifediba, C. P. (2024). Analyzing errors pattern in mathematics achievement among senior secondary school students: A case study. Journal of Instructional Mathematics, 5(1), 24-33. https://doi.org/10.37640/jim.v5i1.1948

Pomalato, S. W. D., La Ili, B. A. N., Fadhilaturrahmi, A. T. H., & Primayana, K. H. (2020). Student error analysis in solving mathematical problems. Universal Journal of Educational Research, 8(11), 5183-5187. https://doi.org/10.13189/ujer.2020.081118

Saputra, Y. A., & Cesaria, A. (2023). Students' errors in algebraic form operations based on newman's criteria. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 2(3), 301-308. https://doi.org/10.31980/pme.v2i3.1766

Serhang, D., & Karim, B. (2024). An overview of education at middle and high schools in Iraq: A summary on the case of mathematics. Proceedings of London International Conferences, (10), 1–14. https://doi.org/10.31039/plic.2024.10.210

Stylianou, D. A. (2010). Teachers’ conceptions of representation in middle school mathematics. Journal of Mathematics Teacher Education, 13(4), 325–343. https://doi.org/10.1007/s10857-010-9143-y

Supardi, L., Zayyadi, M., Lanya, H., Hasanah, S. I., & Hidayati, S. N. (2021). Commognitive analysis of students' errors in solving high order thinking skills problems. Turkish Journal of Computer and Mathematics Education, 12(6), 950-961.

Sweller, J. (1988). Cognitive load during problem solving: Effects on learning. Cognitive Science, 12(2), 257–285. https://doi.org/10.1207/s15516709cog1202_4

Van Garderen, D., & Montague, M. (2003). Visual-spatial representation, mathematical problem solving, and students of varying abilities. Learning Disabilities Research & Practice, 18(4), 246–254. https://doi.org/10.1111/1540-5826.00079

Waswa, D. W., & Al-Kassab, M. M. (2023a). Investigating the causes of the decline in mathematics performance among high school students in Iraq: A teacher's perspective. YMER, 22(6). Retrieved from http://ymerdigital.com

Waswa, D. W., & Al-Kassab, M. M. (2023b). Understanding challenges of mathematics education in Iraq: A Focus on Kurdistan Region. YMER, 22(6). Retrieved from http://ymerdigital.com

Waswa, D. W., Kavlu, A., Al-Kassab, M. M., & Kurudirek, A. (2024). Teachers’ perspectives on poor mathematics achievement in Iraqi secondary schools. International Journal of Social Sciences & Educational Studies, 12(1), 58-73. https://doi.org/10.23918/ijsses.v12i1p58

Xu, Y. (2023). The importance of “sorting out wrong questions” in high school mathematics learning. The Educational Review, USA, 7(10), 1605–1609. https://doi.org/10.26855/er.2023.10.028

Zhao, H., & Acosta-Tello, E. (2016). The impact of erroneous examples on students’ learning of equation solving. Journal of Mathematics Education, 9(1), 57-68.

Downloads

Published

2026-04-30

How to Cite

Alshatri, S., & Farouq, S. (2026). Errors, representations, and instructional coherence in a secondary mathematics textbook: evidence from the grade 10 curriculum in the Kurdistan region of Iraq. Journal of Honai Math, 9(1), 167–180. https://doi.org/10.30862/jhm.v9i1.1041

Similar Articles

<< < 1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.