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Mentoring Undergraduate Research in Mathematical Modeling.

Glenn Ledder1

  • 1Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588-0130, USA. gledder@unl.edu.

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Summary
This summary is machine-generated.

This article offers insights into undergraduate research in mathematical modeling, drawing on extensive experience. It provides practical advice for mentoring students and broadening research participation for diverse learners.

Keywords:
Mathematical modelingMathematics educationUndergraduate research

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Area of Science:

  • Mathematics
  • Mathematical Modeling
  • Undergraduate Education

Background:

  • Extensive experience in mentoring undergraduate research in mathematical modeling over 31 years.
  • Recognizes the need for tailored approaches to undergraduate research mentoring.
  • Highlights the importance of accessible explanations of mathematical modeling for students.

Purpose of the Study:

  • To share practical advice and strategies for effective undergraduate research mentoring in mathematical modeling.
  • To discuss methods for disseminating undergraduate research findings.
  • To address challenges and solutions for broadening research participation among diverse student populations.

Main Methods:

  • Drawing on 31 years of experience mentoring students in various research settings (honors' theses, REU groups, classroom-based research).
  • Analyzing the differences between undergraduate and professional-level research.
  • Proposing strategies for explaining mathematical modeling to undergraduates.

Main Results:

  • Provides a framework for understanding the distinctions between undergraduate and professional research endeavors.
  • Offers actionable advice for mentors to guide students effectively.
  • Suggests diverse avenues for students to share their research outcomes.

Conclusions:

  • Effective undergraduate research mentoring requires tailored approaches based on student level and research context.
  • Broadening participation necessitates inclusive strategies for early-career and mid-tier students.
  • Integrating research experiences within the classroom setting is a viable approach to enhance student engagement.