Beyond memorization: A study of problem-solving across math and medicine
Ave K. Kludze 1 *
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1 Cornell University, United States
* Corresponding Author

Abstract

Mathematics and medicine are often portrayed as unrelated subjects, yet both disciplines rely on similar forms of conceptually driven problem-solving. This paper argues that high-level performance in each field depends less on memorizing large volumes of information and more on recognizing patterns, reasoning from core principles, and applying knowledge to unfamiliar situations. Drawing on cases from Biology Olympiad questions, organic chemistry, diagnostic testing, pharmacokinetics, and clinical decision-making, this paper shows how effective problem solvers integrate information across topics, evaluate alternative explanations, and justify their conclusions. Based on these examples, a cross-disciplinary framework is proposed with four shared aspects: (1) principle-based reasoning, (2) integration across systems/topics, (3) coordination of quantitative and qualitative data, and (4) transfer of understanding to novel contexts. This framework demonstrates parallels between mathematical thinking and clinical reasoning and challenges the misconception that biomedical learning is primarily rote learning. The paper concludes by outlining implications for STEM and pre-medical education, suggesting that curricula and assessments should cultivate ‘big picture’ reasoning and structured justification to better prepare students for both advanced mathematics and authentic medical practice.

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.