American Journal of Educational Research
ISSN (Print): 2327-6126 ISSN (Online): 2327-6150 Website: https://www.sciepub.com/journal/education Editor-in-chief: Ratko Pavlović
Open Access
Journal Browser
Go
American Journal of Educational Research. 2021, 9(6), 330-334
DOI: 10.12691/education-9-6-1
Open AccessArticle

Do Military Students’ Mathematical Self-Efficacy and Metacognitive Awareness Matter on Their Problem Solving Performance?

Joseph B. Ajan Jr1, , Charita A. Luna1 and Dennis B. Roble1

1University of Science and Technology of Southern Philippines, Lapasan Highway, Cagayan de Oro City, Philippines

Pub. Date: June 04, 2021

Cite this paper:
Joseph B. Ajan Jr, Charita A. Luna and Dennis B. Roble. Do Military Students’ Mathematical Self-Efficacy and Metacognitive Awareness Matter on Their Problem Solving Performance?. American Journal of Educational Research. 2021; 9(6):330-334. doi: 10.12691/education-9-6-1

Abstract

The military of every country is viewed as a problem-solving and decision-making branch of government for safety concerns. To enrich the military students’ problem-solving skills and decision-making ability, they must be trained to become excellent problem solvers. This study focused on determining the military students’ personal attributes like their self-concept in mathematics, mathematical beliefs, and metacognitive awareness in relation to their problem-solving performance. The study was conducted in a military school in the Philippines for second-year cadets during the first term of the academic year 2019-2020. This study used a descriptive correlational research design. The instruments used in this study are the mathematics self-concept, mathematical beliefs, and Metacognitive Awareness Inventory (MAI). A validated teacher-made test with a reliability coefficient of 0.73 was used with a rubric scale to measure students’ problem-solving performance. The correlation and regression analysis was used to analyze the data collected. Results of the analysis revealed that students’ self-concept in mathematics and metacognitive awareness, self-concept and problem-solving performance, and metacognitive awareness and problem-solving performance has a strong positive correlation while students’ mathematical beliefs and metacognitive awareness, as well as the students’ self-concept in mathematics and metacognitive awareness, showed a low positive association. Further analysis also showed that students’ self-concept in mathematics and metacognitive awareness is found to predict military students’ problem-solving performance. Hence, it is recommended that military school professors need to develop students’ self-concept in mathematics and use metacognitive teaching strategies in teaching mathematics to enhance students’ problems solving skills. Further research can be explored for other factors that may affect military students’ problem-solving skills.

Keywords:
self-concept in mathematics mathematical beliefs metacognitive awareness mathematics problem solving performance military school

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  Pounds, J., & Fallesen, J. J. (1997). Problem Solving of Mid-Career Army Officers: Identification of General and Specific Strategies. ARMY RESEARCH INST FOR THE BEHAVIORAL AND SOCIAL SCIENCES ALEXANDRIA VA.
 
[2]  Gafoor, K. A., & Kurukkan, A. (2015). Why High School Students Feel Mathematics Difficult? An Exploration of Affective Beliefs. Online Submission.
 
[3]  Nett, U. E., Goetz, T., Hall, N. C., & Frenzel, A. C. (2012). Metacognitive Strategies and Test Performance: An Experience Sampling Analysis of Students' Learning Behavior. Education Research International, 2012.
 
[4]  Lai, E. R. (2011). Metacognition: A literature review. Always learning: Pearson research report, 24, 1-40.
 
[5]  Schraw, G., & Dennison, R. S. (1994). Assessing metacognitive awareness. Contemporary educational psychology, 19(4), 460-475.
 
[6]  Jacobse, A. E., & Harskamp, E. G. (2012). Towards efficient measurement of metacognition in mathematical problem solving. Metacognition and Learning, 7(2), 133-149.
 
[7]  Desoete, A., & Veenman, M. (2006). Metacognition in mathematics: Critical issues on nature, theory, assessment and treatment. In Metacognition in mathematics education (pp. 1-10).
 
[8]  Kloosterman, P. (2002). Beliefs about mathematics and mathematics learning in the secondary school: Measurement and implications for motivation. In Beliefs: A hidden variable in mathematics education? (pp. 247-269). Springer, Dordrecht.
 
[9]  Minister of Education of New Zealand (2009). PISA 2003: Student Leaning Approaches for Tomorrow's World.
 
[10]  Elia I., Van den Heuvel-Panhuizen M., Kolovou A. (2009) Exploring 10.1016/j.jmathb.2008.04.003 strategy use and strategy flexibility in non-routine problem solving by primary school high achievers in Mathematics. ZDM – Int. J. Math. problem based mathematics instruction on undergraduate student Educ. 41:605-618.
 
[11]  Principles, N. C. T. M. (2000). Standards for school mathematics, NCTM. Reston, VA.
 
[12]  Arslan, Ç., & Altun, M. (2007). Learning to solve non-routine mathematical problems. Elementary Education Online, 6(1), 50-61.
 
[13]  Nancarrow, M. (2004). Exploration of Metacognition and Non-routine Problem Based Mathematics Instruction on Undergraduate Student Problem Solving Success.
 
[14]  Chiu M.M. & Klassen R.M.(2008). Relations of Mathematics self-concept and its calibration with mathematics achievement: Cultural differences among 15 years ols in 34 countries. Learning and Instruction Volume 20, 2-17.
 
[15]  Tan, R. E. (2019). Academic self-concept, learning strategies and problem solving achievement of university students. European Journal of Education Studies.
 
[16]  Suthar, V., Tarmizi, R. A., Midi, H., & Adam, M. B. (2010). Students’ beliefs on mathematics and achievement of university students: Logistics regression analysis. Procedia-Social and Behavioral Sciences, 8, 525-531.
 
[17]  Tarmizi, M. A. A., Tarmizi, R. A., & Mokhtar, M. Z. B. (2010). Humanizing mathematics learning: Secondary students beliefs on mathematics teachers’ teaching efficacy. Procedia-Social and Behavioral Sciences, 8, 532-536.
 
[18]  Du Toit, S., & Kotze, G. (2009). Metacognitive strategies in the teaching and learning of mathematics. Pythagoras, 2009(70), 57-67.
 
[19]  Schneider, W., & Artelt, C. (2010). Metacognition and mathematics education. ZDM, 42(2), 149-161.
 
[20]  Abdullah, A. H., Rahman, S. N. S. A., & Hamzah, M. H. (2017). Metacognitive Skills of Malaysian Students in Non-Routine Mathematical Problem Solving. Bolema: Boletim de Educação Matemática, 31(57), 310-322.
 
[21]  Sahin, S. M., & Kendir, F. (2013). The effect of using metacognitive strategies for solving geometry problems on students achievement and attitude. Educational Research and Reviews, 8(19), 1777-1792.
 
[22]  Smith, M. J. (2013). An exploration of metacognition and its effect on mathematical performance in differential equations. Journal of the Scholarship of Teaching and Learning, 100-111.