Home⇛Psychology and Education: A Multidisciplinary Journal⇛vol. 17 no. 4 (2024)

This study was conducted to determined the level of mathematical literacy and reasoning skills of Grade 10 learners in selected secondary schools in Calauag East and West Districts, Division of Quezon, in the school year 2023–2024. This study employ

Jermaine Noves | Noel Palomares

Discipline: Mathematics

 

Abstract:

This study was conducted to determined the level of mathematical literacy and reasoning skills of Grade 10 learners in selected secondary schools in Calauag East and West Districts, Division of Quezon, in the school year 2023–2024. This study employed a descriptive-evaluative research design. The researcher utilized validated researcher-made tests to describe the level of learners' mathematical literacy level and reasoning skills, as well as the causes of errors when solving mathematical literacy problems. This study further evaluates the relationship between mathematical literacy and reasoning skills. The results of the study were analyzed and interpreted using descriptive and inferential statistics such as frequency count, percentage, mean, standard deviation, and Pearson product moment correlation. Findings revealed that the level of mathematical literacy and reasoning skills of Grade 10 learners was at a low proficiency level and had very low reasoning abilities. It also disclosed that the least mastered competency was solving problems involving polynomial functions. The study also showed that common causes of errors in solving mathematical problems were errors in reading and understanding the questions that lead to error in writing the final answer correctly. Based on the results of the study, it shows that there is a significant relationship between the level of mathematical literacy and the level of reasoning skills of Grade 10 learners, with a positive moderate correlation. The study suggested addressing and enhancing the identified least-mastered competency through a contextualized remediation learning package.



References:

  1. Alcantara, K. M. & Ecleo, M. P. (2019). Mastery level of grade 10 mathematics learning competencies in public schools. Asian Journal of Science and Technology, 10(4), 9483-9487.
  2. Anderson, L. W., & Krathwohl, D. R (2001). A taxonomy for learning, teaching, and assessing: A revision of Bloom’s taxonomy of educational objectives. Allyn & Bacon.
  3. Ashcraft, M. H., & Krause, J. A. (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review, 14(2), 243-248. doi: 10.3758/BF03194059
  4. Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407. doi: 10.1177/0022487108324554
  5. Bieda, K. N., Ji, X., & Drwencke, J. (2014). Examining relationships among mathematical reasoning, strategic competence, and algebraic knowledge. Journal for Research in Mathematics Education, 45(4), 422-452.
  6. Bjuland, R. (2007). Mathematical reasoning in school mathematics: What is it and why is it important? Acta Didactica Norge, 1(1), 1-16.
  7. Bjuland, R. (2007). The assessment of mathematical reasoning: A framework for the development of tasks. Educational Studies in Mathematics, 66(2), 157-177. doi: 10.1007/s10649-006-9056-9
  8. Buan, A. T., Ali, A. Z. & Gomez, R. (2021) J. Phys.: Conf. Ser. 1835 012100. doi:10.1088/1742-6596/1835/1/012100
  9. Carla, Júnia, Rodrigues, da, Silva. (2023). School mathematics curriculum reforms: Insights and reflections. New ICMI studies series, 523-535. doi: 10.1007/978-3-031-13548-4_34
  10. Cayabo, M. C., Tandoc, L. L., & Garcia, E. J. (2020). Developing mathematical reasoning skills of grade 10 students in the Philippines through a mathematical reasoning program. Asia Pacific Journal of Multidisciplinary Research, 8(1), 74-82.
  11. Chua, C. P. (2015). Teaching mathematics in the Philippines: trends, issues, and challenges. In Proceedings of the 3rd International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2015), Langkawi, Malaysia, 10-12 August 2015 (pp. 396-402). Available at https://doi.org/10.1063/1.4937559
  12. Cramer, K. M., & Post, T. R. (2016). Mathematical literacy and analytical reasoning: Relationships with secondary and postsecondary outcomes. Journal of Educational Psychology, 108(3), 343-357. https://doi.org/10.1037/edu0000062
  13. Department of Education. (2013). 2013 National Achievement Test (NAT) Results. Retrieved from https://netrc.emb.gov.ph/wp-content/uploads/2016/01/NAT-2013-Results.pdf
  14. Department of Education. (2020). National Achievement Test (NAT). Retrieved from https://www.deped.gov.ph/programs-and-projects/assessment-and-examination/national-achievement-test-nat/
  15. Department of Education. (2020). PEPT Online. Retrieved from https://pept.bea.gov.ph/pept-online/
  16. Department of Education. (2020a). DepEd Order No. 12, s. 2020: Adoption of the basic education learning continuity plan for school year 2020-2021 in light of the COVID-19 public health emergency.
  17. Department of Education. (2020b). DepEd Order lNo. 13, s. 2020: Additional implementation guidelines on the use of the MELCs in the K to 12 curriculum for SY 2020-2021.
  18. DepEd Philippines. (2017). K to 12 curriculum guide: Mathematics. Retrieved from https:// www.deped.gov.ph/wp-content/uploads/2017/10/Mathematics-CG.pdf
  19. DepEd. (2013). K to 12 curriculum guide: Mathematics (Grade 1 to Grade 10). Department of Education.
  20. DepEd. (2019). Guidelines on the conduct of the 2019 DepEd National Achievement Test (NAT) [DepEd Memorandum No. 34, s. 2019]. Department of Education.
  21. DepEd. (2020). K to 12 basic education program learner’s materials for Grade 10 mathematics. Manila: Department of Education.
  22. Department of Education. (2021). 2019-2020 National Achievement Test (NAT) Results. Retrieved from https://www.deped.gov.ph/wpcontent/uploads/2021/03/DM_s2021_008.pdf
  23. Elpedes, C. R. D., & Oruga, D. L. C. (2019). Promoting mathematical reasoning of Grade 10 students using problem-based learning approach. Journal of Research in Mathematics Education, 3(1), 26-36.
  24. Erdem, E., & Soylu, Y. (2017). The relationship between mathematical reasoning and achievement in mathematics: A meta-analysis study. International Journal of Educational Methodology, 3(4), 297-312.
  25. Fitzgerald, S. L., Fitzgerald, C., & Mandru, C. (2023). Effects of the pandemic on mathematics and reading achievement. In E. Soare, & C. Langa (Eds.), Education Facing Contemporary World Issues - EDU WORLD 2022, vol 5. European Proceedings of Educational Sciences (pp. 922-932). European Publisher. https://doi.org/10.15405/epes.23045.92
  26. Fuchs, L. S., Fuchs, D., Compton, D. L., Powell, S. R., Seethaler, P. M., Capizzi, A. M., & Schatschneider, C. (2008). The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Journal of Educational Psychology, 100(1), 115–128. doi: 10.1037/0022-0663.100.1.115 
  27. Fuchs, L. S., & Fuchs, D. (2017). Mathematical problem-solving profiles of students with mathematics difficulties with and without comorbid reading difficulties. Journal of Learning Disabilities, 50(3), 305-319. 
  28. Gabriel, Belen C.; Nepomuceno, Julios D.; Kadusale, Mary Hope; Taneo, Jingoy D. & Cabello, Cyril A. (2022). The compromised most essential learning competencies: A qualitative inquiry. Psychology and Education: A Multidisciplinary Journal 5 (1):1-10.
  29. Golla, E. F., & Reyes, A. G. (2020). PISA Mathematics Literacy Framework vis-à-vis the Philippine Kto12 Mathematics Curriculum. Challenges of PISA: The PNU report, 57.
  30. Gorgonio, N. J. (2014). Mathematics learning competencies: Their nature, scope, and assessment. Journal of Education and Practice, 5(6), 159-165.
  31. Kelly, R., & Ramful, A. (2019). Development and validation of an assessment tool for mathematical reasoning. International Journal of Mathematical Education in Science and Technology, 50(5), 638-656. doi: 10.1080/0020739X.2018.1546191
  32. Kersey, A. J., Mautone, J. A., Frazier, S. L., & Power, T. J. (2017). Relations among mathematics and literacy performance and executive functioning in middle-school students. Journal of Educational Psychology, 109(4), 500-512. https://doi.org/10.1037/edu0000156
  33. Kharis, S. A. A., Salsabila, E., & Haeruman, L. D. (2021, February). Effect of mathematical concept understanding and mathematical reasoning on mathematical literacy Abilities. In Journal of Physics: Conference Series (Vol. 1747, No. 1, p. 012042). IOP Publishing.
  34. Kosko, K. W., & Watt, H. M. G. (2019). Mathematical literacy, reasoning, and achievement in high school students: Examining the relationship. International Journal of Science and Mathematics Education, 17(1), 75-92. https://doi.org/10.1007/s10763-017-9851-2
  35. Kustijono, R., & Murni, A. (2016). Assessing mathematics learning competencies in Indonesia: A proposed framework. International Journal of Evaluation and Research in Education, 5(4), 293-298.
  36. Lavadia, M. (2007). Mathematics Education in the Philippines: Historical Overview, Current Status, and Prospects. Mathematics Education Research Journal, 19(2), 5-20.
  37. Liporada, L. N., & Quimbo, M. A. (2017). Factors affecting mathematical reasoning ability of Filipino college students. Journal of Physics: Conference Series, 892(1), 012059. doi: 10.1088/1742-6596/892/1/012059
  38. Lubienski, S. T., & Bowen, N. K. (2006). Why do so many students think they hate math? Constructivist pedagogy and the social context of learning mathematics. Journal of Educational Psychology, 98(1), 29-38.
  39. Morris, A. K. (2002). What does mathematical reasoning mean? Contemporary issues in technology and teacher education, 2(2), 183-194.
  40. Mustapa, Al, Qadar., M., Lutfi, Firdaus. (2023). Analysis of the difficulties of class VIII students of private middle school PAB 1 Klumpang in solving story problems arithmetic sequences and series. Journal of research,  doi: 10.56495/ejr.v2i1.288
  41. National Center for Education Statistics. (n.d.). National assessment of educational progress (NAEP). Retrieved from https://nces.ed.gov/nationsreportcard/about/
  42. National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all. reston, VA: National Council of Teachers of Mathematics.
  43. National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the national mathematics advisory panel. U.S. Department of Education. https://www2.ed.gov/about/bdscomm/list/mathpanel/report/final-report.pdf
  44. National Research Council. (2012). Education for life and work: Developing transferable knowledge and skills in the 21st century. The National Academies Press. https://doi.org/10.17226/13398
  45. National Research Council. (2018). How people learn II: Learners, contexts, and cultures. The National Academies Press. 
  46. Nisperos, J. F., & Bernardo, A. B. I. (2018). Developing reasoning skills: Factors associated with performance of Filipino college students in mathematical problem solving. Asia Pacific Education Review, 19(4), 583-593. doi: 10.1007/s12564-018-9559-9
  47. OECD. (2016). PISA 2015 assessment and analytical framework: Science, reading, mathematics, financial literacy and collaborative problem solving. Paris: OECD Publishing.
  48. OECD. (2016). PISA 2015 Results (Volume I): Excellence and equity in education. OECD Publishing. https://doi.org/10.1787/9789264266490-ehn
  49. OECD (2019). PISA 2018 Results (Volume II): Where all students can succeed. Paris: OECD Publishing.
  50. OECD. (2019). PISA 2018 Results (Volume III): What school life means for students’ lives. PISA, OECD Publishing, Paris. https://doi.org/10.1787/acd78851-en
  51. Organisation for Economic Co-operation and Development (OECD). (2019). PISA 2018 Results (Volume I): what students know and can do. Retrieved from https://www.oecd-ilibrary.org/education/pisa-2018-results-volume-i_2bfc1d47-en
  52. Pacete, L. A., Lapuz, R. B., & Nisperos, L. A. (2016). Mathematical reasoning skills of Grade 7 students in the Philippines. Asia Pacific Journal of Multidisciplinary Research, 4(4), 72-80.
  53. Penaflorida, R. A., & Tapang, G. A. (2019). Factors affecting mathematical reasoning ability of Filipino high school students. Journal of Physics: Conference Series, 1344(1), 012050. doi: 10.1088/1742-6596/1344/1/012050
  54. PISA. (2015). Excellence through equity: Giving every student the chance to succeed (Volume II). OECD Publishing. https://doi.org/10.1787/9789264249574-en
  55. PISA. (2018). PISA 2018 Assessment and analytical framework: mathematics, reading, science, and financial literacy. OECD Publishing https://doi.org/10.1787/b25efab8-en
  56. Rohmah, M., & Sutiarso, S. (2018). Analysis problem solving in mathematical using theory Newman. Eurasia Journal of Mathematics, Science and Technology Education, 14(2), 671-681.
  57. Stacey, K., & MacGregor, M. (1997). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In E. Pehkonen (Ed.), Proceedings of the 21st Conference of the International Group for the Psychology of Mathematics Education, vol. 4, 81-88.
  58. Stacey, K., & Turner, R. (2015). The evolution and key concepts of the PISA mathematics frameworks. In K. Stacey & R. Turner (Eds.), Assessing mathematical literacy (pp. 5-33). Springer international Publishing. 
  59. Stylianides, G. J., & Stylianides, A. J. (2013). Teachers' learning and development of mathematical knowledge for teaching reasoning: Results from a professional development program. Journal of Mathematics Teacher Education, 16(3), 235-255. doi: 10.1007/s10857-012-9237-x
  60. Suciati, Munadi, S., Sugiman, & Febriyanti, R. W. D. (2020). Design and validation of mathematical literacy instruments for assessment for learning in Indonesia. European Journal of Educational Research, 9(2), 865 - 875. https://doi.org/10.12973/eu-jer.9.2.865
  61. Suryadi, D., & Ramlan, M. (2019). Mathematics learning competencies for 21st-century learners. Journal of Physics: Conference Series, 1318(1), 012010.
  62. Syawahid, M. (2019). Mathematical literacy in algebra reasoning. International Journal of Insight for Mathematics Teaching, 2(1), 33-46.
  63. Tan, R. (2016). Mathematical reasoning skills of Grade 10 students in the Philippines. Journal of Educational and Social Research, 6(2), 37-44.
  64. U.S. Department of Education. (2013). Advancing STEM education: A 2020 vision. https://www.ed.gov/stem
  65. Vida, Manfreda, Kolar., Tatjana, Hodnik. (2021). Mathematical literacy from the perspective of solving contextual problems. European journal of educational research, 10(1):467-483. doi: 10.12973/EU-JER.10.1.467
  66. Vukovic, R. K., Kieffer, M. J., Bailey, S. P., & Harari, R. R. (2013). Mathematics anxiety in young children: Concurrent and Longitudinal associations with mathematical performance. Contemporary Educational Psychology, 38(1), 1-10. https://doi.org/10..1016/j.cedpsych.2012.09.001
  67. Yerizon, Yerizon., Yuni, Ahda., Dina, Amsari. (2019). The influence of contextual approach to students’ problem solving Ability of class ix of smp negeri 1 bayang.   doi: 10.37134/EJSMT.VOL6.2.1.2019 
  68. Yibin, Shen., Qianying, Liu., Zhuoyuan, Mao., Kevin, Cheng., Sadao, Kurohashi. (2022). Textual Enhanced Contrastive Learning for Solving Math Word Problems.   doi: 10.48550/arXiv.2211.16022

Tools


Copyright © 2025  KITE Digital Educational Solutions |  Exclusively distributed by CE-Logic