Development of the Logical Mathematical Reasoning through the Ancestral Calculus Instrument Nepohualtzintzin, in the Learning of Arithmetic for the Basic General Education in Unidad Educativa Ciudad De Ibarra School Period 2019 - 2020

Daniel David Sono Toledo,Adriana Elizabeth Aroca Fárez,Jorge Edmundo Gordón Rogel,Simón Bolívar Batallas Bedón

doi:10.13189/ujer.2021.090407

Abstract

This paper addresses the use of Ethnomathematics in the teaching of Mathematics that takes place in the fifth year of Basic General Education and welcomes schoolchildren aged 8-9, according to Ecuadorian educational processes, and explores the logical mathematical development, by teaching arithmetic with the Nepohualtzintzin. The aim is to analyze the quality of learning through the performance of mathematical logical thinking, through the didactic use of the Nepohualtzintzin as an ancestral calculation instrument in students at these ages. Dimensions are based on the development of mathematical logical thinking from pedagogy and psychology. The Nepohualtzintzinwas used by renowned cultures in world history such as the Mayans and Aztecs. Its didactic qualities determine the ease with which students learn the place value of the basic element figures for the resolution of arithmetic operations. Furthermore, the cultural connotation of Ethnomathematics in the didactics of mathematics is also established. An exploratory, documentary, descriptive and longitudinal study is described. Pretest and posttest were applied, which were statistically processed with the SPSS package. The analysis carried out allows indorsing the feasibility of the proposal for the development of mathematical logical thinking through the determined dimensions. In end of this study, significant positive results were identified among the experimental group with respect to the control group, all of which ratifies the importance of the study.

Highlights

Mayan and Inca Civilization had their758 Development of the Logical Mathematical Reasoning through the Ancestral Calculus Instrument Nepohualtzintzin, in the Learning of Arithmetic for the Basic General Education in Unidad Educativa Ciudad De Ibarra School Period 2019 - 2020 prehispanicdomain over Meso-America and South America respectively
It is necessary to point out that Ethnomathematics is a discipline from Educative Mathematic which is enriched from diverse fields, such as the historic, philosophic, geographic and the anthropologic
The employment of Nepohualtzintzin in Mathematic classes as the mean for logical-mathematical thinking development suited to the procedures given by the Secretaría de EducaciónPúblicafrom México [22](SEP, 2009) and the methodological preparation of the teachers was procured

Summary

Introduction

758 Development of the Logical Mathematical Reasoning through the Ancestral Calculus Instrument Nepohualtzintzin, in the Learning of Arithmetic for the Basic General Education in Unidad Educativa Ciudad De Ibarra School Period 2019 - 2020 prehispanicdomain over Meso-America and South America respectively. Almost all their mathematical knowledge remained in history. It is oriented to contextualize multiculturally the teaching processes – mathematics learning and to stablish links between culture, math, history, geography, anthropology and other social sciences. Thereby D’Ambrosio (1988) cited in Suárez, Acevedo, and Huertas [24] (2009), points out that: “we call Ethnomathematics to the art or technique of understanding, explanation, learning about, contention and handling of the natural, social and political environment, depending on the processes such as counting, measuring, classifying, organizing, inferring which result from well identified cultural groups”

Methods

Results

Conclusion