...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 1 | Year 2025 | Article Id. IJMTT-V71I1P103 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I1P103

The Application of Proving Capability of Mathematics in Abstract Algebra


Bhupendra Kumar, R. N. Prajapati, Niharika Tiwari
Received Revised Accepted Published
13 Nov 2024 27 Dec 2024 11 Jan 2025 30 Jan 2025
Abstract

A key skill for learning abstract algebra is mathematical proof. In this article, we describe students’ mathematical proving abilities using descriptive and comparative methods in private universities with three different levels of accreditation. Data was gathered through testing and interviews. The Kruskal-Wallis test and Mann-Whitney U test were used to describe and compare the data statistically. The results suggest that students’ mathematical proving aptitude varies across three categories: Extraordinary, Average, and Beginner levels. According to the evaluation results, significant differences were observed among universities with different accreditation levels. Based on these findings, it is suggested that students from Average and Beginner level accredited universities could improve their mathematical proving abilities by becoming more familiar with proof problems through regular practice, increasing their motivation to learn, and being provided with easily understandable learning materials.

Keywords

Accreditation of Private University, Comparison Analysis, The Kruskal-Wallis Test, Descriptive Analysis, Mathematical Proving Ability, Mann-Whitney (U) test. 

References

[1] Gila Hanna, Hans Niels Jahnke, and Helmut Pulte, Explanation and Proof in Mathematics, Philosophical and Educational Perspectives, Springer, pp. 1-294, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Rippi Maya, and Utari Sumarmo, “Mathematical Understanding and Proving Abilities: Experiment with Undergradeuate Student by Using Modified Moore Learning Approach,” Indonesian Mathematical Society Journal on Mathematics Education, vol. 2, no. 2, pp. 231-250, 2011.
[Google Scholar] [Publisher Link]
[3] Nina Agustyaningrum et al., “Analysis of Mathematical Proof Ability in Abstract Algebra Course,” Universal Journal of Educational Research, vol. 8, no. 3, pp. 823-834, 2020.
[Google Scholar] [Publisher Link]
[4] I Made Arnawa, Yerizon, and Sri Nita “Improvement Students’ Level of Proof Ability in Abstract Algebra Trough APOS Theory Approach,” International Journal of Scientific & Technology Research, vol. 8, no. 7, pp. 128-131, 2019.
[Google Scholar] [Publisher Link]
[5] Annie Selden, and John Selden, “Validations of Proofs Considered as Texts: Can undergradeuates Tell Whether an Argument Proves a Theorem?,” Journal for Research in Mathematics Education, vol. 34, no. 1, pp. 4-36, 2003.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Gabriel J. Stylianides, Andreas J. Stylianides, and George N. Philippou, “Preservice Teachers’ Knowledge of Proof by Mathematical Induction,” Journal of Mathematics Teacher Education, vol. 10, pp. 145-166, 2007.
[CrossRef] [Google Scholar] [Publisher Link]
[7] George C. Banks et al., “A Meta-Analytic Review of Authentic and Transformational Leadership: A Test for Redundancy,” The Leadership Quarterly, vol. 27, no. 4, pp. 634-652, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[8] Y. Yerizon, A.A Putra, and M Subhan, “Student Responses Toward Student Worksheets Based on Discovery Learning for Students with Intrapersonal and Interpersonal Intelligence,” IOP Conference Series: Materials Science and Engineering: The 2nd International Conference on Mathematics, Science, Education and Technology, Padang, West Sumatera, Indonesia, vol. 335, pp. 1-5, 2018.
[Google Scholar] [Publisher Link]
[9] Hafiludin Samparadja et al., “The Influence of Inductive-Deductive Approach Based on Modified Definition in Algebra Structure Learning Toward Student’s Proving Ability Viewed Based on College Entrance Track,” International Journal of Education and Research, vol. 2, no. 7, pp. 239-248, 2014.
[Google Scholar] [Publisher Link]
[10] Stuart Hart, and Catherine Banbury,” “How Strategy-Making Processes Can Make a Difference,” Strategic Management Journal, vol. 15, no. 4, pp. 251-269, 1994.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Henrietta L. Moore, A Passion for Difference: Essays in Anthropology and Gender, Indiana University Press, pp. 1-177, 1994.
[Google Scholar] [Publisher Link]
[12] Paula S. Weber, and James E. Weber, “Changes in Employee Perceptions during Organizational Change,” Leadership & Organization Development Journal, vol. 22, no. 6, pp. 291-300, 2001.
[CrossRef] [Google Scholar] [Publisher Link]

Citation :

Bhupendra Kumar, R. N. Prajapati, Niharika Tiwari, "The Application of Proving Capability of Mathematics in Abstract Algebra," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 1, pp. 16-21, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I1P103

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved