Critical Analysis and Problem-Solving Performance in Trigonometry Among College Students

DOI:

https://doi.org/10.58421/misro.v4i1.315

Authors

  • Christine Joy L. Sosa Mindoro State University
  • Rosebelle Diane T. Ilagan Mindoro State University
  • Leah M. Lavarite Mindoro State University
  • Lovely Angel A. Polianario Mindoro State University
  • Joane F. Santiago Mindoro State University
  • Zussette Candelario - Aplaon Mindoro State University

Keywords:

critical analysis, problem solving performance, Polya's problem-solving framework, Trigonometry, mathematics education

Abstract

Problem-solving is believed to be the essence of mathematics learning. Problem-solving in Trigonometry is crucial for developing critical thinking and analytical skills, spatial reasoning, and a strong foundation for advanced mathematics. It also has practical applications in various fields, making understanding the factors influencing problem-solving skills essential. This study aims to investigate the specific role of critical thinking in trigonometry problem-solving performance. This study determined the critical analysis of mathematical translation and identifying appropriate formulas. On the other hand, the problem-solving performance was measured in terms of Polya’s framework, which included understanding the problem, devising a plan, carrying out a plan, and looking back. The study utilized a Descriptive-correlation research design to determine the significant relationship between the two variables. A summative test was used as the data-gathering tool to assess the participants' performance. The study participants were thirty-four (34) randomly selected college students at a particular state university in Oriental Mindoro. The data were analyzed using Mean, frequency-percentage, and Pearson’s r. The study's results revealed a significant relationship between the level of critical analysis and the level of performance in Trigonometry.

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References

M. Gurat, “Mathematical Problem-Solving Heuristics Among Student Teachers,” Journal on Efficiency and Responsibility in Education and Science, vol. 11, no. 3, pp. 53–64, Sep. 2018, doi: 10.7160/eriesj.2018.110302.

G. Polya, How to Solve It: A New Aspect of Mathematical Method. Princeton: Princeton University Press, 2004.

S. Osman, C. N. A. Che Yang, M. S. Abu, N. Ismail, H. Jambari, and J. A. Kumar, “Enhancing Students’ Mathematical Problem-Solving Skills through Bar Model Visualisation Technique,” International Electronic Journal of Mathematics Education, vol. 13, no. 3, Oct. 2018, doi: 10.12973/iejme/3919.

H. Malibiran, Z. Aplaon, and M. Izon, “Determinants of Problem-Solving Performance in Mathematics 7: A Regression Model,” vol. 22, pp. 65–86, Jun. 2019.

R. Gutierrez and Z. Aplaon, “Indigenous People Education: An Evaluation of Problem-solving Performance,” vol. 15, pp. 110–119, May 2020.

A. Seltzer and B. Jensen, “Neighbourhood and Family Effects in Educational Progress,” Australian Economic Review, vol. 33, pp. 17–31, Feb. 2000, doi: 10.1111/1467-8462.00133.

B. Guven and B. O. Cabakcor, “Factors influencing mathematical problem-solving achievement of seventh grade Turkish students,” Learn Individ Differ, vol. 23, pp. 131–137, Feb. 2013, doi: 10.1016/j.lindif.2012.10.003.

L. Verschaffel, B. Greer, and E. D. Corte, “Making sense of word problems,” ZDM, vol. 33, no. 1, pp. 27–29, 2001.

A. Tella, “Teacher variables as predictors of academic achievement of primary school pupils mathematics,” International Electronic Journal of Elementary Education, vol. 1, no. 1, pp. 16–33, Jul. 2017, [Online]. Available: https://iejee.com/index.php/IEJEE/article/view/4

Z. Xin, C. Lin, L. Zhang, and R. Yan, “The Performance of Chinese Primary School Students on Realistic Arithmetic Word Problems,” Educ Psychol Pract, vol. 23, no. 2, pp. 145–159, Jun. 2007, doi: 10.1080/02667360701320853.

S. Jan and S. Rodrigues, “Students’ Difficulties in Comprehending Mathematical Word Problems in English Language Learning Contexts,” 2012. [Online]. Available: https://api.semanticscholar.org/CorpusID:61936790

M. J. Tsai, H. T. Hou, M. L. Lai, W. Y. Liu, and F. Y. Yang, “Analyzed visual attention for solving multiple-choice mathematics problems,” Comput Educ, vol. 58, no. 1, pp. 375–385, 2012.

N. C. Jordan and L. B. Hanich, “Mathematical Thinking in Second-Grade Children with Different Forms of LD,” J Learn Disabil, vol. 33, no. 6, pp. 567–578, Nov. 2000, doi: 10.1177/002221940003300605.

M. N. Suydam and J. F. Weaver, “Research of problem-solving: Implication for elementary school classroom,” Arithmetic Teacher, vol. 25, p. 42, 1977.

M. C. Gilbert, “Relating aspects of motivation to facets of mathematical competence varying in cognitive demand,” J Educ Res, vol. 109, no. 6, pp. 647–657, Nov. 2016, doi: 10.1080/00220671.2015.1020912.

Robert Coolman, “What Is Trigonometry?,” https://www.livescience.com/51026-what-is-trigonometry.html#:~:text=By%20Robert%20Coolman,sides%20and%20angles%20of%20triangles.

J. A. Imbaquingo Guerrero, K. A. Bastidas González, J. O. Gutiérrez Bastidas, and S. M. Alvarado Rosado, “Aplicación de trigonometría en la resolución de problemas de la vida cotidiana para estudiantes de bachillerato,” Reincisol., vol. 3, no. 5, pp. 1593–1607, Jun. 2024, doi: 10.59282/reincisol.V3(5)1593-1607.

C. El-Bayeh, M. Bernard, and N. Moubayed, “Introduction to the elliptical trigonometry,” WSEAS Trans Math, vol. 8, p. 551, Sep. 2009.

A. Harris, “What Type of Math Is Used in Marine Biology?,” https://education.seattlepi.com/type-math-used-marine-biology-6785.html.

N. C. Makilan, “Problem-Based Learning Approach: Its Effect to The Problem-Solving Skills and Attitude of The Students Towards Trigonometry,” International Journal of Management Studies and Social Science Research, vol. 2, no. 2, pp. 138–143, Mar. 2020.

W. Jumina, S. Syahrir, and M. Mahatma, “The Relationship Between Problem Solving Methods and Student Learning Outcomes,” Indo-MathEdu Intellectuals Journal, vol. 1, no. 1, pp. 50–58, Oct. 2020, doi: 10.54373/imeij.v1i1.41.

R. Nurmeidina, A. Lazwardi, and A. Nugroho, “Analysis of the Problem Solving Ability of Mathematics Education Students Using the Trigonometry Module,” in Proceedings of The 6th Asia-Pacific Education And Science Conference, AECon 2020, 19-20 December 2020, Purwokerto, Indonesia, EAI, 2021. doi: 10.4108/eai.19-12-2020.2309151.

M. Ulu, “The Effect of Reading Comprehension and Problem Solving Strategies on Classifying Elementary 4th Grade Students with High and Low Problem Solving Success,” J Educ Train Stud, vol. 5, no. 6, p. 44, Apr. 2017, doi: 10.11114/jets.v5i6.2391.

Z. K. Mbugua, K. Kibet, G. M. Muthaa, and G. R. Nkonke, “Factors Contributing To Students’ Poor Performance in Mathematics at Kenya Certificate of Secondary Education in Kenya: A Case of Baringo County, Kenya,” 2012. [Online]. Available: https://api.semanticscholar.org/CorpusID:15057859

Orhun, “Problem-solving Technique,” Asian Academic Research Journal of Social Science and Humanities, 2015.

M. E. Nggaba, “Analysis of students critical thinking ability in solving trigonometric problems,” J Phys Conf Ser, vol. 1521, no. 3, p. 032023, Apr. 2020, doi: 10.1088/1742-6596/1521/3/032023.

A. T. Tajuddin, I. Sujadi, I. Slamet, and A. Hendriyanto, “Mathematical Critical Thinking: Analysis of Middle School Students’ Thinking Processes in Solving Trigonometry Problems,” Mosharafa: Jurnal Pendidikan Matematika, vol. 12, no. 4, pp. 703–720, Oct. 2023, doi: 10.31980/mosharafa.v12i4.1185.

H. Halimatussa’diah, S. Sugiatno, and R. Ijuddin, “Potensi Berpikir Kritis Siswa Dalam Menyelesaikan Masalah Pada Materi Trigonometri,” Jurnal AlphaEuclidEdu, vol. 1, no. 2, p. 144, Dec. 2020, doi: 10.26418/ja.v1i2.42882.

C. da Silva and B. V. da Fonseca, “Reading fluency performance of elementary-school fifth-grade students,” Revista CEFAC, vol. 23, no. 6, 2021, doi: 10.1590/1982-0216/20212368621.

M. Hagena, D. Leiss, and K. Schwippert, “Using Reading Strategy Training to Foster Students’ Mathematical Modelling Competencies: Results of a Quasi-Experimental Control Trial,” EURASIA Journal of Mathematics, Science and Technology Education, vol. 13, no. 7b, Jun. 2017, doi: 10.12973/eurasia.2017.00803a.

R. Reys, M. Lindquist, D. V. Lambdin, and N. L. Smith, Helping Children Learn Mathematics, 11th ed. New York: John Wiley and Sons, Inc, 2021.

W. N. Huda, H. Suyitno, and Wiyanto, “Analysis of Mathematical Problem Solving Abilities in Terms of Students’ Motivation and Learning Styles,” Journal of Primary Education, vol. 6, no. 3, pp. 209–217, 2017.

A. S. Alghonaim, “Impact of Related Activities on Reading Comprehension of EFL Students,” English Language Teaching, vol. 13, no. 4, p. 15, Mar. 2020, doi: 10.5539/elt.v13n4p15.

A. F. Cerbito, “Comparative Analysis of Mathematics Proficiency and Attitudes Toward Mathematics of Senior High School Student,” International Journal of Scientific and Research Publications (IJSRP), vol. 10, no. 05, pp. 211–222, May 2020, doi: 10.29322/IJSRP.10.05.2020.p10125.

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Published

2024-12-02

How to Cite

[1]
Christine Joy L. Sosa, Rosebelle Diane T. Ilagan, Leah M. Lavarite, Lovely Angel A. Polianario, Joane F. Santiago, and Z. Candelario - Aplaon, “Critical Analysis and Problem-Solving Performance in Trigonometry Among College Students”, J.Math.Instr.Soc.Res.Opin., vol. 4, no. 1, pp. 33–42, Dec. 2024.

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