Modeling Learning Behavior of Students of Mathematics

Modeling Learning Behavior of Students of Mathematics | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Modeling Learning Behavior of Students of Mathematics Budee U Zaman This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3399716/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper introduces an innovative approach to comprehending and modeling the collective behaviors of students within the context of mathematics education. The core objective is to present a comprehensive mathematical framework capable of addressing the entire spectrum of behaviors exhibited in mathematics classrooms. We introduce a novel SIR-based model, tailored to capture behaviors under the influence of individual students. Additionally, we propose that interactions among students across different classrooms can serve as a regulatory mechanism for these behaviors. To validate our approach, we conduct a series of simulations that demonstrate the practicality and significance of our model. This paper significantly contributes to the advancement of our understanding of student behaviors in the realm of mathematics education and their mathematical representation. By bridging the gap between mathematical modeling and the intricate dynamics of student conduct, this work provides valuable insights into the behaviors displayed in math classrooms. Computational Mathematics Applied Mathematics Student behavior Modeling learning behavior Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3399716","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":272024396,"identity":"88109130-c102-436a-bfd8-e3c4f909c962","order_by":0,"name":"Budee U Zaman","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAsklEQVRIiWNgGAWjYBACAzBisAFixsYDpGhJA2lpIEnLYTCHOC3mEskbH3xsO2+3tv0w0JYam2iCWixnpBUbzmy7nbztTCJQy7G03AaCDruRYybNC9RidgCohbHhMFFazH//bTuXbHb+IfFazJgZ2w7Ymd0g1hbLnmfFkj3nkhPMbgBtSSDGL+bsyRs//Cizszc7n/7wwYcaG8JaYCARrDKBWOUgYE+K4lEwCkbBKBhhAACvaEjaE260qAAAAABJRU5ErkJggg==","orcid":"","institution":"pgc","correspondingAuthor":true,"prefix":"","firstName":"Budee","middleName":"U","lastName":"Zaman","suffix":""}],"badges":[],"createdAt":"2023-09-30 03:52:49","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":true,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":true},"doi":"10.21203/rs.3.rs-3399716/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3399716/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":50976442,"identity":"87270712-6d9c-4374-95a1-a95b53cf09f4","added_by":"auto","created_at":"2024-02-12 02:17:31","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":261402,"visible":true,"origin":"","legend":"","description":"","filename":"ModelingLearningBehaviorofStudentsofMathematics1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3399716/v1_covered_06b06967-f992-4dec-b070-3344b92fba11.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eModeling Learning Behavior of Students of Mathematics\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[{"identity":"c450e148-1d12-4a07-b870-206f470ff631","identifier":"10.13039/501100001512","name":"NZ On Air","awardNumber":"no","order_by":0},{"identity":"69656967-c8c4-4579-892b-dd7f8e4ef180","identifier":"10.13039/100016049","name":"William Paterson University of New Jersey","awardNumber":"no","order_by":1}],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Student behavior, Modeling, learning behavior","lastPublishedDoi":"10.21203/rs.3.rs-3399716/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3399716/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper introduces an innovative approach to comprehending and modeling the collective behaviors of students within the context of mathematics education. 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