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By focusing on analysis and synthesis, the paper presents mathematics as a constructive framework and a “mode of rationality” extending beyond traditional scientific domains. It examines obstacles in applying mathematical proficiency across disciplines and the complexities of interdisciplinary collaboration. The work highlights the value-laden nature of problem-solving and argues that mathematical literacy and analytical methods enable clearer communication and progress on pressing global issues.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/bridging-disciplines-the-role-of-mathematical-reasoning-in-interdisciplinary-inquiry/585014/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/bridging-disciplines-the-role-of-mathematical-reasoning-in-interdisciplinary-inquiry/585014.png","ImageObject",300,407,{"name":92,"@type":93},"Maya Linwood","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-15",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How does the paper justify mathematics as a methodological framework for multidisciplinary research?","Question",{"text":112,"@type":113},"It argues that real-world problems require integrating knowledge across fields, and that mathematics—especially via analysis and synthesis—offers a constructive framework for navigating this complexity.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Why does the paper emphasize the difficulty of applying calculus in multidisciplinary contexts?",{"text":117,"@type":113},"It notes that completing a calculus sequence does not guarantee effective application when problems require adaptable thinking across disciplines, not just procedural mastery.",{"name":119,"@type":110,"acceptedAnswer":120},"What role do value-ladenness and unknown consequences play in interdisciplinary problem-solving?",{"text":121,"@type":113},"Practical problems inherently involve values, and solution outcomes reshape the environment in ways that cannot be fully foreseen. 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It argues that the increasing prevalence of realworld problems demands the integration of knowledge from diverse scientific fields, where mathematics, particularly through the method of analysis and synthesis, provides a crucial constructive framework. While acknowledging the challenges in applying mathematical proficiency across disciplines and the complexities of interdisciplinary collaboration, the paper highlights mathematics’ historical versatility and its role as a “mode of rationality” applicable beyond traditional scientific domains. The topic is explored more broadly and deeply through military technology. The study illustrates the practical application of mathematical reasoning and the inherent value-ladenness of multidisciplinary problem-solving. Ultimately, it concludes that cultivating mathematical literacy and embracing analytical methodologies are essential for fostering effective communication and advancing multidisciplinary research to address pressing global issues.  \nKeywords: mathematics education, methodological thinking, multidisciplinary research, scientific reasoning, method of analysis and synthesis  \nIntroduction  \nMature scientific disciplines commonly possess well-defined theoretical foundations and established applications, forming the basis for structured teaching, learning, and research practices. However, contemporary educational research increasingly emphasizes the importance of multidisciplinary approaches. Likewise, real-world problems often require synthesizing knowledge from a wide array of fields. Moreover, seemingly well-defined issues are frequently embedded within practical environments, revealing their multidimensional nature. In such contexts, mathematical knowledge can provide a vital constructive framework.  \nThis is an open access article under the  \nCreative Commons Attribution 4.0 International License  \nProceedings of the 6th International Baltic Symposium on Science and Technology Education, BalticSTE2025   \n147  \nHistorically, calculus evolved from physics and the natural sciences, but its utility extends far beyond, with notable applications in economics, humanities, and social sciences. Numerous practical projects demand considerable mathematical proficiency. Adams and Essex (2018) offer a compelling example, suggesting that a foundational understanding may require at least a three-to five-semester lecture course. Despite its relevance, such extensive mathematical training is often excluded from curricula due to practical constraints.  \nEven so, solid mathematical competence remains critical for solving numerous practical problems. While curricula often position calculus as a core component of scientific education, mastering it remains challenging. Completing a calculus sequence does not ensure students can apply it effectively in multidisciplinary contexts. As André Weil’s example illustrates, true intellectual creativity requires deep knowledge and adaptable thinking (Weil 1969) . The most effective approach cultivates an academic environment promoting systematic study and intellectual engagement across diverse problem domains (Aczel, 2006) .  \nIn recent decades, multidisciplinary, interdisciplinary, and transdisciplinary research have beco","cbCaim0APQV7LHc3","https://ap.wps.com/l/cbCaim0APQV7LHc3","pdf",618442,12,"English","# Introduction\n## Mathematics as a construct for multidisciplinary inquiry\n## Calculus utility beyond traditional domains\n## Multidisciplinary vs. interdisciplinary vs. transdisciplinary research\n## Value-ladenness and consequences in problem-solving","[{\"question\":\"How does the paper justify mathematics as a methodological framework for multidisciplinary research?\",\"answer\":\"It argues that real-world problems require integrating knowledge across fields, and that mathematics—especially via analysis and synthesis—offers a constructive framework for navigating this complexity.\"},{\"question\":\"Why does the paper emphasize the difficulty of applying calculus in multidisciplinary contexts?\",\"answer\":\"It notes that completing a calculus sequence does not guarantee effective application when problems require adaptable thinking across disciplines, not just procedural mastery.\"},{\"question\":\"What role do value-ladenness and unknown consequences play in interdisciplinary problem-solving?\",\"answer\":\"Practical problems inherently involve values, and solution outcomes reshape the environment in ways that cannot be fully foreseen. As a result, impacts are often understood retrospectively.\"}]","BRIDGING DISCIPLINES - THE ROLE OF MATHEMATICAL REASONING IN INTERDISCIPLINARY INQUIRY | PDF",1792053306]