THE USE OF GOWIN'S V AND POLYA'S METHOD FOR SOLVING PROBLEMS IN COMPLEX ANALYSIS

Authors

  • Edwin Rivera Rivera University of Puerto Rico

DOI:

https://doi.org/10.29121/granthaalayah.v12.i12.2024.5858

Keywords:

Complex Analysis, Gowin's V Heuristic, Polya's Problem-Solving Method, Mathematical Strategies

Abstract [English]

In this research article on the use of Gowin's V and Polya's problem-solving method, these strategies are presented as tools for solving problems in complex analysis. The study presents these strategies as direct help for students to understand the methodology of solving complex analysis problems. Similarly, each of these methods is also a teaching strategy to break down and simplify the abstract concepts of complex analysis. Both are pedagogical strategies well-utilized in simpler mathematics, but in this work, it is recommended that they be used for more advanced mathematics.

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References

Campos-Silva, E. (2017). Metacognitive Strategies in Social Research. Ibero-American Journal of Education, 75(2), 33-54.

Castillo-Garsow, C. (2020). Conceptual Understanding of Complex Numbers in University Students. International Journal of Mathematical Education in Science and Technology, 51(4), 567-589.

Chen, L., & Wu, Y. (2021). Interactive Visualization Techniques for Complex Analysis. International Journal of Educational Technologies, 45(3), 112-129.

González, F. J., & Pérez, J. L. (2013). Proposal for a Teaching Tool Based on Gowin's V for Solving Physics Problems. Brazilian Journal of Physics Teaching, 35(2), 2402. Retrieved from http://www.sbfisica.org.br

González-Martínez, R. (2019). Cognitive Strategies for Understanding Complex Functions [PhD thesis, University of Barcelona]. Institutional repository.

Hernández-Mosqueda, J. S. (2016). Qualitative Methods of Research Analysis. Current Research in Education, 16(3), 1-22.

Kimura, H., & Nakamura, S. (2020). New Pedagogical Approaches for Complex Analysis. Teaching Advanced Mathematics, 28(2), 75-94.

Martínez-Jiménez, P. (2019). Epistemological tools in Scientific Research. Journal of Education XXI, 22(3), 45-67.

Rodríguez-Pérez, M. (2018). Epistemological Obstacles in Complex Analysis [PhD thesis, National Autonomous University of Mexico]. Digital Archive of Mathematical Research.

Ruiz-Ortiz, M. A., & González-García, J. (2020). Heuristic Methodologies in Digital Environments. Pixel-Bit. Journal of Media and Education, 18(4), 89-110.

Salazar S., L. (2018). Approaching Complex Analysis Through Connections with Real Analysis. Mathematics, Education and Internet, 18(2), 1-15. https://tecdigital.tec.ac.cr/revistamatematica/

Santos-Lima, F. (2017). Mental Processes in the understanding of Complex Functions [PhD thesis, Federal University of Rio de Janeiro]. Database of Research in Mathematical Neuroeducation.

Triana-Vargas, O. E., & Castaño-Vélez, N. M. (2022). Virtual Learning Environments in Higher Education. Espacios Magazine, 43(6), 112-125.

Trigueros, M., & Oktaç, A. (2018). Construction of Meanings for Complex Numbers at Higher Levels. Mathematics Education.

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Published

2024-12-31

How to Cite

Rivera, E. R. (2024). THE USE OF GOWIN’S V AND POLYA’S METHOD FOR SOLVING PROBLEMS IN COMPLEX ANALYSIS. International Journal of Research -GRANTHAALAYAH, 12(12), 27–37. https://doi.org/10.29121/granthaalayah.v12.i12.2024.5858