DECODING THE GEOMETRIC PROOF: A RUBRIC-BASED ANALYSIS OF CONGRUENT TRIANGLE REASONING ERRORS AMONG ASIAN STUDENTS

Authors

  • Mayur Bhoyar, Mr. Ashish B. Samarth, Mr. Sumit R. Raut, Dr. Anoop Beri

Keywords:

Congruent Triangles, Geometric Reasoning, Proof Process, Mathematical Language, Rubric Development.

Abstract

This research delves into an examination of the errors prevalent in the reasoning and proof skills of Asian students when working with congruent triangles. The study involved 100 participants across Asia, aiming to identify and analyze specific challenges faced by students in comprehending and applying the five key congruent triangle theorems. Employing a standard graph set, the research revealed significant difficulties in multiple facets of students' engagement with congruent triangles. The findings illuminated a pronounced confusion among students concerning both the connotation and formal structure of the congruent triangle theorems. Notably, participants exhibited challenges in graphic analysis, struggling with the transformation between various representations, mathematical language, natural language, and graphical depictions. The study further identified a substantial obstacle in students' ability to articulate a coherent proof process, showcasing a deficiency in their grasp of logical reasoning. In response to these identified challenges, the article introduces a comprehensive rubric designed for the evaluation of students' congruent reasoning and proof. The rubric aims to provide educators and researchers with a systematic tool to assess and address the specific areas of difficulty highlighted in the study. By delineating clear criteria for evaluating students' understanding and application of congruent triangle theorems, the rubric seeks to contribute to the enhancement of instructional strategies and curriculum development in the realm of geometric reasoning.

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Published

2024-02-22

How to Cite

Mayur Bhoyar, Mr. Ashish B. Samarth, Mr. Sumit R. Raut, Dr. Anoop Beri. (2024). DECODING THE GEOMETRIC PROOF: A RUBRIC-BASED ANALYSIS OF CONGRUENT TRIANGLE REASONING ERRORS AMONG ASIAN STUDENTS. Utilitas Mathematica, 120, 1232–1243. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/1878

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