Students' Errors in Learning Elementary Group Theory: A Case Study of Mathematics Students at Andalas University

Yerizon, .; Arnawa, I Made; Yanita,; Ginting, Bukti; Nita, Sri

doi:10.13189/ujer.2019.071216

Cited by 2 publications

(4 citation statements)

References 11 publications

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“…The selected concept was correct, but the application shows that the students have not understood the concepts well. This phenomenon also happened in various research (Maharaj, 2010;Syaiful, Marsal, & Kamid, 2016;Agustyaningrum et al, 2018;Yerizon et al, 2019). At the beginning, the student wrote ≠ 0 and is subset of A, it should be ≠ and .…”

Section: Description Of Mathematical Proving Abilitymentioning

confidence: 75%

Analysis of Mathematical Proof Ability in Abstract Algebra Course

Agustyaningrum¹,

Husna²,

Hanggara³

et al. 2020

ujer

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Mathematical proving is an important ability to learn abstract algebra. Many students, however, found difficulties in solving problems involving mathematical proof. This research aims to describe the students' mathematical proving ability and to find out the difference of the ability among students in private universities with three different levels of accreditation-A, B, and C. We used descriptive and comparative methods to reach the goals by involving mathematics education department students from A, B, and C-accredited private universities as its subjects. We used a test and interview to collect the data. The data of the students' mathematical proving ability were then statistically described and then compared among the three subject categories using the Kruskal-Wallis test and U Mann Whitney post hoc test. The results suggest that the students' mathematical proving ability from the A, B, and C-accredited universities respectively were 77.14 (high category), 39.32 (low category), and 36.78 (low category). Furthermore, the comparison results suggest that the significant differences only happen between universities with A and B accreditation level, and between the ones with A and C accreditation. Based on these findings, the mathematical proving ability of the students from B and C-accredited universities still needs to be improved by making the students accustomed to exercising with proof problems, motivating them to learn, and providing them learning materials that are easy to understand.

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Section: Description Of Mathematical Proving Abilitymentioning

confidence: 75%

Analysis of Mathematical Proof Ability in Abstract Algebra Course

Agustyaningrum¹,

Husna²,

Hanggara³

et al. 2020

ujer

View full text Add to dashboard Cite

show abstract

“…Oleh karena itu, pembuktian menjadi unsur terpenting untuk memperoleh pemahaman yang jelas dalam matematika (Maya & Sumarmo, 2011;Hanna et al, 2010). Menurut Arnawa et al, (2019), tugas pembuktian memberikan kesempatan bagi dosen untuk menilai kemampuan mahasiswa dalam berargumentasi secara logis, melihat kemampuan mahasiswa dalam menggunakan contoh dan non contoh secara efektif guna mempertahankan argument mereka, serta dapat mengidentifikasi kelemahan dalam penalaran dan miskonsepsi yang mungkin dialami oleh mahasiswa. Maya & Sumarmo (2011) berpendapat bahwa kemampuan pembuktian matematis merupakan kemampuan yang harus dimiliki oleh semua siswa yang mempelajari matematika.…”

Section: Pendahuluanunclassified

“…Aljabar abstrak, juga dikenal sebagai struktur aljabar, merupakan salah satu mata kuliah penting pada program studi matematika dan pendidikan matematika yang muatannya abstrak dan sarat akan pembuktian matematis (Arnawa et al, 2019). Menurut Isnarto (2014) mata kuliah aljabar abstrak bertujuan untuk mengembangkan kemampuan pembuktian matematis.…”

Section: Pendahuluanunclassified

“…Knuth (2002) menyatakan bahwa salah satu alasan mengapa mahasiswa menemui kesulitan di dalam pembuktian adalah pengalaman mereka dalam mengkonstruksi bukti, terbatas pada pembuktian geometri sekolah. Selanjutnya Yerizon et al, (2019) menyatakan bahwa pada tingkat perguruan tinggi, kemampuan pembuktian matematis bersifat formal dan lebih akurat dibandingkan pada level sekolah dasar dan menengah. Hal ini membuat mahasiswa yang mempelajari matematika secara khusus seperti pada program studi matematika maupun pendidikan matematika harus lebih banyak mengasah berlatih dalam menulis bukti.…”

Section: Pendahuluanunclassified

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Analisis Kemampuan Pembuktian Matematis Pada Mata Kuliah Teori Ring Ditinjau Dari Pendidikan Sekolah Menengah

Agustyaningrum,

Pradanti,

Krisma

2023

SCI TECH ED MATH

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Mathematical proof is a crucial component in studying mathematics, especially at advanced levels. Previous research has reported that many students face difficulties in solving mathematical proof problems, including in rings theory course. This study aims to determine the level of students' mathematical proof abilities in ring theory course and to compare these abilities based on their school backgrounds. This research employs a quantitative descriptive approach followed by comparative analysis. The subjects were 30 students from the mathematics education program taking rings theory course at Tidar University. The research instruments include tests, questionnaire, and interviews guidelines. Data analysis of the test results was conducted using descriptive statistic and one-way ANOVA followed by Tukey HSD post hoc tests. The research findings indicate that students' overall mathematical proof abilities fall into the low category, with an average score of 41.67 (on a scale of 100). From these results, 84% of the respondents are in the low category, 13% in the medium category, and 3% in the high category. Furthermore, when considering the backgrounds of secondary schools MA, SMK, and SMA, the average scores for mathematical proof abilities in all three groups are in the low category. The one-way ANOVA and Tukey HSD post hoc tests reveal a significant difference in mathematical proof abilities between the MA and SMA groups, while there was no significant difference between the MA and SMK groups or the SMK and SMA groups

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Students' Errors in Learning Elementary Group Theory: A Case Study of Mathematics Students at Andalas University

Cited by 2 publications

References 11 publications

Analysis of Mathematical Proof Ability in Abstract Algebra Course

Analysis of Mathematical Proof Ability in Abstract Algebra Course

Analisis Kemampuan Pembuktian Matematis Pada Mata Kuliah Teori Ring Ditinjau Dari Pendidikan Sekolah Menengah

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