THE CALCULATION OF M.D.C AND M.M.C THROUGH AN ALTERNATIVE APPROACH ALLIED TO SEPARATE DECOMPOSITION AND SIMULTANEOUS SELECTION

Authors

DOI:

https://doi.org/10.33871/rpem.2025.14.33.9176

Abstract

In this article, the objective was to point out the contributions of the teaching methodology for calculating the greatest common divisor and the least common multiple through an alternative approach, combined with suspending the numbers separately and selecting the factors simultaneously. This teaching approach was chosen because it privileges the skills that students had already developed in relation to non-simultaneous experience, although with some gaps, and introduces a new procedure that simplifies many aspects that made them difficult. The research, characterized as pedagogical, was developed with 36 students from the 7th class of Colégio do Senga in the Province of Uíge (Angola), through 3 classes in a participatory manner to generate protagonism in the construction of knowledge and development of students' skills. The data found indicates that the approach used contributed significantly to the development of skills and minimized student difficulties. Given this, it is expected that the proposal presented in this article will serve as an alternative and viable tool in the teaching-learning process of calculating the greatest common divisor and least common multiple for students at this level of education.

Keywords: Mathematics Education. Multiple Methodologies. Pedagogical Practice.

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Author Biographies

Manuel Panzo Muluta, Instituto Superior Privado Nzenzu Estrela do Uíge - Angola

Master's student in Educational Sciences specializing in Mathematics Teaching at the Higher Institute of Educational Sciences of Sumbe (ISCED-Sumbe). Graduated (2019) in Educational Sciences in the Specialty of Teaching Mathematics from the Higher Institute of Educational Sciences of Uíge (ISCED-Uíge). Mathematics teacher at Colégio do Senga-Uíge (Angola). Professor of Mathematical Analysis and Mathematics Applied to Economics at Instituto Superior Privado Nzenzu Estrela do Uíge (ISPNE-Uíge)

Zeca Catuco André Quimuanga, Higher Institute of Education Sciences of Uíge - ISCED/Uíge

PhD student in Science and Mathematics Education, from the Postgraduate Program in Science and Mathematics Education (PPGECM) at the Institute of Mathematics and Scientific Education at the Federal University of Pará (UFPA). Master (2021) in Educational Sciences in the specialty of Mathematics Teaching from the Higher Institute of Educational Sciences, ISCED-Sumbe. Graduated (2012) in Educational Sciences in the specialty of Mathematics from the Higher Institute of Educational Sciences of Uíge ISCED-Uíge. Member of the Sociocultural Practices and Mathematics Education Research Group (GPSEM/UFPA). Professor at the Department of Teaching and Research in Exact Sciences at ISCED-Uíge.

Published

2025-04-30

How to Cite

Muluta, M. P., & André Quimuanga, Z. C. (2025). THE CALCULATION OF M.D.C AND M.M.C THROUGH AN ALTERNATIVE APPROACH ALLIED TO SEPARATE DECOMPOSITION AND SIMULTANEOUS SELECTION. Revista Paranaense De Educação Matemática, 14(33), 01–22. https://doi.org/10.33871/rpem.2025.14.33.9176

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Section

Relatos de Experiência