Application of Heuristic Strategies in the Solution of Problems Modeled by Means of Algebraic Equations in Students of an Educational Institution

Authors

Andrea Peña-Sureda

Pontificia Universidad Católica de Puerto Rico

[email protected]

https://orcid.org/0000-0003-4351-4004

Abner Colón-Ortiz

Pontificia Universidad Catolica de Puerto Rico

[email protected]

https://orcid.org/0000-0002-2852-0038

Iris Ramos-Rullan

Pontificia Universidad Católica de Puerto Rico

[email protected]

https://orcid.org/0000-0002-2376-6020

Abstract

The purpose of the research was to provide strategies applicable in the process of troubleshooting algebraic equations to determine whether there was a significant difference in the academic performance of the groups under investigation. A pilot study and a problem and discrimination analysis were conducted. The sample of the three groups was 26 students enrolled in a general math course as a requirement of their curriculum. A pre- and post-test was given to the control group 1 (C1) and the experimental group (E). The post-test was administered to groups C1, C2 and E. Treatment was carried out where the control groups received traditional teaching and the experimental group teaching based on the application of heuristic strategies. A normality test and a discrepancy and difficulty analysis were performed. The average pretest administration was calculated. It was concluded that C1 and E had similar performance and knowledge in problem solving and algebraic equations at the beginning of research, there was significant difference after treatment in groups C1 and E, it was shown that groups C1 and E were homogeneous, and that there was significant difference between the three groups participating in the posttest of academic performance. A research tool, an educational module for students and a strategic guide for the teacher were provided.

Keywords

equations heuristics problem solving

How to Cite

Peña-Sureda, A., Colón-Ortiz, A. ., & Ramos-Rullan, I. . (2021). Application of Heuristic Strategies in the Solution of Problems Modeled by Means of Algebraic Equations in Students of an Educational Institution. Caribbean Educational Research Journal (RECIE), 5(2), 144–158. https://doi.org/10.32541/recie.2021.v5i2.pp144-158

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Section

Research article

Author Biographies

Andrea Peña-Sureda, Pontificia Universidad Católica de Puerto Rico

Andrea Peña Sureda serves as a math teacher at a private high school in the city of Miami. He currently teaches advanced math courses where he impacts students focused on their intellectual growth. In 2017, he completed his doctoral degree in education where he collaborated in the field of study with the creation of instructional material to be applied and used in math classes.

 

Abner Colón-Ortiz, Pontificia Universidad Catolica de Puerto Rico

Doctor of Education, with studies in Research and Educational Evaluation, Quantitative and Qualitative Evaluation, Design of Evaluation Instruments and With Post PhD in Qualitative Research. He serves as a Graduate School Coordinator in Education and Professor Department of Biology. His research focuses on Education and Environmental Sciences.

Iris Ramos-Rullan, Pontificia Universidad Católica de Puerto Rico

Educator with more than ten years of experience in the area of biology in public and private educational institutions in Puerto Rico. He currently holds a PhD in Educational Management at the Pontifical Catholic University of Puerto Rico where he also serves as a Research Assistant. He has carried out several researches in the field of education together with the Coordinator of the Doctoral Program of the Pontifical Catholic University of Puerto Rico. His most recent published research was in the Scientific Journal DELECTUS of Peru entitled: Phenomenological research based on the use of mobile devices in the classroom.