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THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY

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  • Carlos Duardo Monteagudo Universidad Central “Marta Abreu” de Las Villas, Santa Clara, Cuba image/svg+xml
  • Liety Díaz Marcelo Escuela Secundaria Básica Juan Marinello, MINED. Santo Domingo, Cuba
  • Joaquín Suárez Salvador Universidad Central “Marta Abreu” de Las Villas, Santa Clara, Cuba https://orcid.org/0000-0001-5205-0788

DOI:

https://doi.org/10.1590/SciELOPreprints.6687

Keywords:

Mathematics, heuristics, equality of triangles, proof

Abstract

The topic of the equality of triangles, the fundamental basis for the study of geometric contents, is taught and consolidated in the eighth grade. The present research proposes the feasibility of applying the General Heuristic Program as an alternative for the treatment of the teaching content in the demonstrations of equality of triangles in the eighth grade of Basic Secondary School. The dialectical materialist method was used with the predominance of the quantitative approach and assumed a study sample of 23 students from an intentionally selected group of eighth grade. Observation, analysis of the product of the activity, and interview were applied together with other methods and techniques.  These made it possible to verify the difficulties in the teaching-learning process of the contents related to Unit 2 Plane geometry and calculation of bodies, specifically on the topic of equality of triangles. This is complex for the learners since they must apply concepts, propositions as well as procedures. For all these reasons, it is necessary to use the General Heuristic Program, which is incorporated through demonstration exercises. The partial evaluation of this work gave a positive result, which shows the effectiveness of the proposal.

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Author Biographies

Carlos Duardo Monteagudo, Universidad Central “Marta Abreu” de Las Villas, Santa Clara, Cuba

Facultad de Educación Media, Departamento de Ciencias Exactas

Liety Díaz Marcelo, Escuela Secundaria Básica Juan Marinello, MINED. Santo Domingo, Cuba

Villa Clara

Joaquín Suárez Salvador, Universidad Central “Marta Abreu” de Las Villas, Santa Clara, Cuba

Facultad de Educación Media, Departamento de Ciencias Exactas

Posted

08/28/2023

How to Cite

Monteagudo, C. D., Marcelo, L. D., & Salvador, J. S. (2023). THE PROOF OF EQUALITY OF TRIANGLES. CONSIDERATIONS FOR BASIC SECONDARY. In SciELO Preprints. https://doi.org/10.1590/SciELOPreprints.6687

Section

Applied Social Sciences

Plaudit

Data statement

  • Data statement is contained in the manuscript