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International Electronic Journal of Mathematics Education

International Electronic Journal of Mathematics Education
The Open Algorithm Based on Numbers (ABN) as an Educational Innovation for Teaching and Learning in Ecuador
Derling Jose Mendoza Velazco 1 * , Magda Francisca Cejas Martinez 2 3, Carlos Alban Yanez 2, Yanet Marisol Ortega 2
1 Universidad Nacional de Educación, ECUADOR2 Universidad de las Fuerzas Armadas, ESPE, ECUADOR3 Universidad Nacional de Chimborazo, UNACH, ECUADOR
* Corresponding Author
APA
In-text citation: (Mendoza Velazco et al., 2020)
Reference: Mendoza Velazco, D. J., Cejas Martinez, M. F., Alban Yanez, C., & Ortega, Y. M. (2020). The Open Algorithm Based on Numbers (ABN) as an Educational Innovation for Teaching and Learning in Ecuador. International Electronic Journal of Mathematics Education, 15(3), em0601. https://doi.org/10.29333/iejme/8434
AMA
In-text citation: (1), (2), (3), etc.
Reference: Mendoza Velazco DJ, Cejas Martinez MF, Alban Yanez C, Ortega YM. The Open Algorithm Based on Numbers (ABN) as an Educational Innovation for Teaching and Learning in Ecuador. INT ELECT J MATH ED. 2020;15(3), em0601. https://doi.org/10.29333/iejme/8434
Chicago
In-text citation: (Mendoza Velazco et al., 2020)
Reference: Mendoza Velazco, Derling Jose, Magda Francisca Cejas Martinez, Carlos Alban Yanez, and Yanet Marisol Ortega. "The Open Algorithm Based on Numbers (ABN) as an Educational Innovation for Teaching and Learning in Ecuador". International Electronic Journal of Mathematics Education 2020 15 no. 3 (2020): em0601. https://doi.org/10.29333/iejme/8434
Harvard
In-text citation: (Mendoza Velazco et al., 2020)
Reference: Mendoza Velazco, D. J., Cejas Martinez, M. F., Alban Yanez, C., and Ortega, Y. M. (2020). The Open Algorithm Based on Numbers (ABN) as an Educational Innovation for Teaching and Learning in Ecuador. International Electronic Journal of Mathematics Education, 15(3), em0601. https://doi.org/10.29333/iejme/8434
MLA
In-text citation: (Mendoza Velazco et al., 2020)
Reference: Mendoza Velazco, Derling Jose et al. "The Open Algorithm Based on Numbers (ABN) as an Educational Innovation for Teaching and Learning in Ecuador". International Electronic Journal of Mathematics Education, vol. 15, no. 3, 2020, em0601. https://doi.org/10.29333/iejme/8434
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Mendoza Velazco DJ, Cejas Martinez MF, Alban Yanez C, Ortega YM. The Open Algorithm Based on Numbers (ABN) as an Educational Innovation for Teaching and Learning in Ecuador. INT ELECT J MATH ED. 2020;15(3):em0601. https://doi.org/10.29333/iejme/8434

Abstract

To prevent difficulties in learning mathematics, effective and innovative teaching methodologies should be used. The present study presents the results of a relational and comparative study between the application of the open number-based algorithm (ABN) and the closed number-based algorithm (CNB) method. The research was of a descriptive cross-sectional quantitative type. Descriptive and comparative, quasi-experimental cross-sectional design study. The sample was 320 students of the first cycle of the National University of Education (UNAE). A multiple choice questionnaire with geometry exercises and a Likert type scale was applied for the data collection. The results were analyzed through an analysis of variance (ANOVA). We worked with two variables, the informal geometric reasoning variable and the formal geometric reasoning variable. We applied a correction of the degrees of freedom with Welch’s robust test. The results indicated that the ABN-oriented group (n=151) achieved better results than the CNB-oriented group (n=92). The results were relevant, because the skills demonstrated in the results, show that the ABN method reinforces the capacity to give solution to the exercises, contributing to the development of the numerical sense. Concluding that it can be described as a flexible or innovative model in the field of mathematics teaching.

Keywords

mathematical education ABN methodology geometry educational innovation

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