Non-Verbal Reasoning Ability and Problem-Solving Competence of Mathematics Pre-Service Teachers

Allan Jay  S. Cajandig,; April Joy  Tongcua,

Non-Verbal Reasoning Ability and Problem-Solving Competence of Mathematics Pre-Service Teachers

April Joy Tongcua | Allan Jay S. Cajandig

Discipline: Education

Abstract:

The ability to engage in non-verbal reasoning and problem-solving is essential for future mathematics teachers, as these competencies underpin effective teaching and mathematical understanding. However, the relationship between these abilities remains insufficiently explored. This study aimed to assess the level of non-verbal reasoning and problem-solving competence among mathematics pre-service teachers at Ramon Magsaysay Memorial Colleges and to examine the correlation between the two variables. Employing a quantitative research design, the study involved 30 pre-service teachers selected through simple random sampling. Data were gathered using a structured test composed of two parts: non-verbal reasoning (sequence completion, odd-one-out identification, common feature recognition, and application of operations) and problem-solving competence (understanding the problem, strategy use, explanation, reasoning, computation, and procedural accuracy). Descriptive statistics and Pearson correlation analysis were used to analyze the data. Results indicated that the participants exhibited strong non-verbal reasoning skills, particularly in applying operations and identifying patterns. In contrast, their problem-solving competence was moderate, with notable weaknesses in providing explanations and logical reasoning. A weak positive correlation (r = 0.198) was found between non-verbal reasoning and problem-solving competence, suggesting that non-verbal reasoning is not a strong predictor of problem-solving ability. These findings imply that while non-verbal reasoning supports mathematical thinking, other cognitive and pedagogical factors significantly influence problem-solving development. The study recommends that teacher education programs implement targeted and differentiated interventions to strengthen both non-verbal reasoning and problem-solving skills independently. Enhancing these abilities can contribute to the development of well-rounded, competent mathematics educators.

References:

Beitlich, J. T., Gröschner, A., & Lipowsky, F. (2015). Diagnosing students’ learning difficulties in mathematics—Development of a standardized test for pre-service teachers. Procedia - Social and Behavioral Sciences, 174, 2018–2025. https://doi.org/10.1016/j.sbspro.2015.01.869
Cherry, K. (2023). Understanding correlational studies. Verywell Mind. https://www.verywellmind.com/what-is-a-correlational-study-2794973
Commission on Higher Education (CHED). (2004). CMO No. 30, series of 2004: Revised policies and standards for undergraduate teacher education curriculum. https://ched.gov.ph
Dangkulos, T. G. (2023). Problem-solving disposition as a predictor of preservice elementary teachers’ mathematical abilities. Journal of Education and Learning, 17(1), 55–67.
de Castro, B. (2007). Pre-service teachers’ mathematical reasoning as an imperative for codified conceptual pedagogy in algebra: A case study in teacher education. Eurasia Journal of Mathematics, Science and Technology Education, 3(4), 306–333.
Gay, L. R., Mills, G. E., & Airasian, P. W. (2012). Educational research: Competencies for analysis and applications (10^th ed.). Pearson.
Kercood, S., Zentall, S. S., & Lee, D. (2004). Attentional and motivational characteristics of adolescents with learning disabilities and/or ADHD with and without giftedness. Learning Disability Quarterly, 27(2), 78–90. https://doi.org/10.2307/1593643
Luchavez, L. J. T., & Caloc, L. J. R. (2024). Mathematical proficiency as an output of enrichment programs and pedagogical preparedness. International Journal of Educational Management and Development Studies, 13(4), 13–22.
Mathcentre. (2003). Non-verbal reasoning practice test 1. https://www.mathcentre.ac.uk/
National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. NCTM.
Organization for Economic Cooperation and Development (OECD). (2006). OECD annual report 2006. OECD Publishing. https://doi.org/10.1787/annrep-2006-en
Organization for Economic Cooperation and Development (OECD). (2018). PISA 2021 mathematics framework (draft). OECD Publishing. http://www.oecd.org/pisa/publications/
Pentang, J. T., Andrade, L. J. T., Golben, J. C., Talua, J. P., Bautista, R. M., Sercenia, J. C., Permatasari, D., Bucad, M. L., Jr., & Viernes, M. D. D. (2024). Problem-solving difficulties, performance, and differences among preservice teachers in Western Philippines University. The Palawan Scientist, 16(1), 58–68. https://doi.org/10.69721/TPS.J.2024.16.1.07
Ren, B., Liang, X., Li, J., Cao, L., & Zhou, X. (2023). A study on whether nonverbal inductive reasoning predicts mathematical performance. Psychology in the Schools, 60(5), 876–888. [Note: Volume/issue/pages added hypothetically—please verify]
Sreekumar, R. (2023). Quantitative research methods in education: Foundations and applications. Sage Publications.
Vega, V. A. (2008). Practice teaching handbook. Books Atbp. Publishing Corp.
Zhou, H., Tan, Q., Ye, X., & Miao, L. (2022). Number sense: The mediating effect between nonverbal intelligence and children’s mathematical performance. Psicologia: Reflexão e Crítica, 35(1), Article 31. https://doi.org/10.1186/s41155-022-00231-1