This study explores the key determinants of logical reasoning skills and their influence on students' mathematics achievement. Logical reasoning is a critical cognitive skill that underpins problem-solving and mathematical understanding. The research examines how factors such as cognitive abilities, teaching methods, socioeconomic status, and prior knowledge affect the development of logical reasoning skills and, subsequently, mathematical performance. Using a mixed-methods approach, data were collected through assessments of logical reasoning and mathematics achievement in a sample of middle school students. The results indicate that strong logical reasoning skills significantly correlate with higher mathematics achievement, particularly in problem-solving and abstract reasoning tasks. Additionally, the study identifies that effective instructional strategies, including problem-based learning and active engagement, further enhance logical reasoning and mathematical outcomes. Socioeconomic factors and prior knowledge also play a role in shaping students' logical reasoning capabilities. The findings highlight the importance of nurturing logical reasoning skills as a foundational component of mathematics education to improve student performance in mathematics.

Logical Reasoning, Mathematics Achievement, Cognitive Skills

Abiam, P. O. & Odok, J. K. (2006). Factors in Students’ achievement in different branches of secondary school Mathematics. Journal of Education and Technology. 1(1), 161 – 168.

Adeleke, M. A. (2007) Gender Disparity in Mathematical Performance Revisited: Can Training in Problem Solving Bring Difference Between Boys and Girls? Retrieved on October 9th, 2011 from http://www.usca.edu/essays/vol212007/adeleke.pdf

Aiyedun, J. O. (2000). Influence of sex difference of students on their achievement in secondary school mathematics. Abacus: Journal of Mathematical Association of Nigeria, 25 (1), 102 – 113.

Brandy, K. E. and Eisten, R. M. (1995). Gender Bias in the Classroom. A Critical Review of the Literature and Implication for Future Research. Journal of Research and Development in Education, 29(1), 9-19.

Jahun, U. I. (1989). Construction and standardization of mathematics achievement test for junior secondary school three students in Kaduna, Kano and Kastina states in Nigeria: Unpublished Ph.D. Dissertation. Ahmadu Bello University, Zaria, Nigeria.

Jahun, U. I. & Momoh, S. J. (2001). The effect of environment and sex on the mathematics achievements of Junior Secondary School Three students in Kwara State. Abacus: Journal of Mathematical Association of Nigeria, 26 (1) 53 – 58.

Kadiri, S. A. (2004). The Effectiveness of the Personalized System of Instruction in Mathematics among Secondary School Students in Osun State. Unpublished Ph.D Thesis, Obafemi Awolowo University, Ile-Ife.

Reyes, L. H. and Stanic, G. M. A. (1988). Race, Sex, Socio-economic status and Mathematics – Journal for Research in Mathematics Education 19 (1), 26-40.

Salman, M. F. (1997). Effects of mathematical language as advance organizer on senior secondary students’ performance in mathematical word problem.Unpublished Ph.D. Dissertation. University of Ilorin, Ilorin, Nigeria ‏