Jurnal AlphaEuclidEdu
Vol. 6 No. 2 (2025): Volume 6 Number 2 Desember 2025

ANALISIS KESALAHAN MAHASISWA DALAM MENYELESAIKAN MASALAH FUNGSI PEMBANGKIT: STUDI PERMODELAN PERMUTASI

Riyola, Eriel (Unknown)
Nadya Febriani Meldi (Unknown)



Article Info

Publish Date
30 Dec 2025

Abstract

Generating functions are an essential tool in the analysis of combinatorial structures, yet their application in solving permutation problems remains a significant challenge for students. This study aims to describe the types of errors made by students when solving permutation problems modeled using the Exponential Generating Function (EGF). A descriptive qualitative method was employed with 10 students from the Mathematics Education Study Program who had completed the Discrete Mathematics course. Data were collected through a cognitive test designed to assess conceptual understanding, procedural accuracy, and modeling skills. The findings indicate three main categories of errors: conceptual errors related to misconceptions about generating functions as representations of labeled objects; procedural errors arising from the use of inappropriate solution steps; and modeling errors reflected in students’ inability to translate problem constraints into the appropriate generating-function form. These results highlight that students’ mastery of the relationship between permutation structures and generating functions remains limited, suggesting the need for instructional strategies that emphasize conceptual clarity and systematic mathematical modeling.

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Journal Info

Abbrev

AlphaEuclidEdu

Publisher

Subject

Education Mathematics

Description

Jurnal AlphaEuclidEdu adalah Jurnal Prodi Pendidikan Matematika FKIP Universitas Tanjungpura yang mencakup bidang keilmuan matematika dan pendidikan matematika dengan rincian: 1) Belajar dan Pembelajaran Matematika, 2) Media dan Sumber Belajar Matematika, 3) Kurikulum Matematika, 4) Evaluasi ...