Volume 12, 2024: Issue 1

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Title:

Exploring the interplay between AI and human logic in mathematical problem-solving

Author(s):

Shanzhen Gao, Department of Computer Information Systems, Reginald F Lewis College of Business, Virginia State University, USA

Weizheng Gao, Department of Mathematics, Computer Science and Engineering Technology, Elizabeth City State University, USA

Olumide Malomo, Department of Computer Information Systems, Reginald F Lewis College of Business, Virginia State University, USA

Julian D. Allagan, Department of Mathematics, Computer Science and Engineering Technology, Elizabeth City State University, USA

Ephrem Eyob, Department of Computer Information Systems, Reginald F Lewis College of Business, Virginia State University, USA

Chandrasheker Challa, Department of Computer Information Systems, Reginald F Lewis College of Business, Virginia State University, USA

Jianning Su, Department of Mathematics, Computer Science and Engineering, Perimeter College, Georgia State University, USA

Abstract:

This paper investigates the dynamic interplay between Artificial Intelligence (AI) and human logic in the domain of mathematical problem-solving. By critically examining a series of case studies, we compare the efficacy of AI-generated solutions, particularly those offered by ChatGPT, against traditional human problem-solving methods. The study employs various mathematical challenges, ranging from abstract logical puzzles to applied numerical problems, to evaluate AI's problem-solving approach and alignment with human cognitive processes. Our analysis highlights instances where AI's computational strategies complement or diverge from human reasoning, shedding light on AI's potential and limitations in deciphering mathematical problems. Furthermore, we explore the implications of integrating AI tools in educational contexts, specifically their role in enhancing students' mathematical problem-solving skills. The paper aims to contribute to the ongoing discourse on the optimal utilization of AI in education, proposing a balanced approach that leverages AI's computational power while fostering the depth and creativity of human logic. Through this comparative study, we advocate for a collaborative model where AI and human reasoning merge to enrich the educational landscape, particularly in the teaching and learning of mathematics.

Keywords:

Artificial intelligence, human logic, mathematical problem solving, ChatGPT capabilities, educational technology, cognitive processes, learning and knowledge agents

DOI:

https://doi.org/10.36965/OJAKM.2024.12(1)73-93

Type:

Research paper

Journal:

The Online Journal of Applied Knowledge Management (OJAKM), ISSN: 2325-4688

Publisher:

International Institute for Applied Knowledge Management (IIAKM)

Received:

19 April 2024

Revised:

12 August 2024; 24 August 2024; 8 October 2024; 24 October 2024

Accepted:

25 October 2024

Accepting Editor:

Meir Russ

Pages:

73-93