A Project-Based Guide to Undergraduate Research in Mathematics PDF Download

Author: Pamela E. Harris
Publisher: Springer Nature
ISBN: 3030378535
Category : Mathematics
Languages : en
Pages : 324

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Book Description
This volume provides accessible and self-contained research problems designed for undergraduate student projects, and simultaneously promotes the development of sustainable undergraduate research programs. The chapters in this work span a variety of topical areas of pure and applied mathematics and mathematics education. Each chapter gives a self-contained introduction on a research topic with an emphasis on the specific tools and knowledge needed to create and maintain fruitful research programs for undergraduates. Some of the topics discussed include:• Disease modeling• Tropical curves and surfaces• Numerical semigroups• Mathematics EducationThis volume will primarily appeal to undergraduate students interested in pursuing research projects and faculty members seeking to mentor them. It may also aid students and faculty participating in independent studies and capstone projects.

Author: Rubinstein Yanir A
Publisher: World Scientific
ISBN: 9814630330
Category : Mathematics
Languages : en
Pages : 252

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Book Description
“The US National Science Foundation (NSF) Research Experiences for Undergraduates (REU) program in mathematics is now 25 years old, and it is a good time to think about what it has achieved, how it has changed, and where this idea will go next.”This was the premise of the conference held at Mt. Holyoke College during 21-22 June, 2013, and this circle of ideas is brought forward in this volume. The conference brought together diverse points of view, from NSF administrators, leaders of university-wide honors programs, to faculty who had led REUs, recent PhDs who are expected to lead them soon, and students currently in an REU themselves. The conversation was so varied that it justifies a book-length attempt to capture all that was suggested, reported, and said. Among the contributors are Ravi Vakil (Stanford), Haynes Miller (MIT), and Carlos Castillo-Chavez (Arizona, President's Obama Committee on the National Medal of Science 2010-2012).This book should serve not only as a collection of speakers' notes, but also as a source book for anyone interested in teaching mathematics and in the possibility of incorporating research-like experiences in mathematics classes at any level, as well as designing research experiences for undergraduates outside of the classroom.

Author: Michael Dorff
Publisher: American Mathematical Soc.
ISBN: 147044934X
Category : Mathematics
Languages : en
Pages : 211

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Book Description
A Mathematician's Practical Guide to Mentoring Undergraduate Research is a complete how-to manual on starting an undergraduate research program. Readers will find advice on setting appropriate problems, directing student progress, managing group dynamics, obtaining external funding, publishing student results, and a myriad of other relevant issues. The authors have decades of experience and have accumulated knowledge that other mathematicians will find extremely useful.

Author: Hannah Callender Highlander
Publisher: Springer Nature
ISBN: 303033645X
Category : Mathematics
Languages : en
Pages : 479

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Book Description
Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons • Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments • Network structure and the dynamics of biological systems • Using neural networks to identify bird species from birdsong samples • Modeling fluid flow induced by the motion of pulmonary cilia Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.

Author: Lester Senechal
Publisher: MAA Press
ISBN:
Category : Mathematics
Languages : en
Pages : 212

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Book Description
While there seems to be no easy way of turning undergraduates into research mathematicians, some schools have run successful programmes which increased the research participation of their students. Many such model programmes are presented in this book. Dramatic results were achieved in various intensive summer programmes, when full attention was devoted to the research process.

Author: Marilyn Paula Carlson
Publisher: MAA
ISBN: 9780883851838
Category : Mathematics
Languages : en
Pages : 340

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Book Description
The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.

Author: Aaron Wootton
Publisher: Birkhäuser
ISBN: 3319660659
Category : Mathematics
Languages : en
Pages : 313

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Book Description
This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading. The content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them.

Author: Eli E. Goldwyn
Publisher: Springer Nature
ISBN: 3031085604
Category : Mathematics
Languages : en
Pages : 323

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Book Description
Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. To address this need, this volume provides beginning students with specific research projects and the tools required to tackle them. Most of these projects are accessible to students who have not yet taken Calculus, but students who know some Calculus will find plenty to do here as well. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include: games on graphs modeling of biological systems mosaics and virtual knots mathematics for sustainable humanity mathematical epidemiology Mathematics Research for the Beginning Student, Volume 1 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have already studied calculus is also available.

Author: Curtis C. McKnight
Publisher: American Mathematical Soc.
ISBN: 0821820168
Category : Mathematics
Languages : en
Pages : 120

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Book Description
Mathematics education research in undergraduate mathematics has increased significantly in the last decade and shows no signs of abating in the near future. Thus far, this research has often been associated with innovations in curriculum such as calculus reform, statistics education, and the use of computational and graphing technology in instruction. Mathematics education research, carefully conducted, is something far more fundamental and widely useful than might be implied by its use by the advocates of innovation in undergraduate mathematics education. Most simply, mathematics education research is inquiry by carefully developed research methods aimed at providing evidence about the nature and relationships of many mathematics learning and teaching phenomena. It seeks to clarify the phenomena, illuminate them, explain how they are related to other phenomena, and explain how this may be related to undergraduate mathematics course organization and teaching. This book-the collaborative effort of a research mathematician, mathematics education researchers who work in a research mathematics department and a professional librarian-introduces research mathematicians to education research. The work presents a non-jargon introduction for educational research, surveys the more commonly used research methods, along with their rationales and assumptions, and provides background and careful discussions to help research mathematicians read or listen to education research more critically. This guide is of practical interest to university-based research mathematicians, as it introduces the methodology of quantitative and qualitative research in education; provides critical guidelines for assessing the reliability and validity of mathematics education research; and explains how to use online database resources to locate education research. The book will also be valuable to graduate students in mathematics who are planning academic careers, and to mathematics department chairs and their deans.

Author: Anne H. Charity Hudley
Publisher: Teachers College Press
ISBN: 0807775827
Category : Study Aids
Languages : en
Pages : 186

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Book Description
Despite all of the information that exists to encourage students to attend and do well in college, this is the first research-based guide that directly advises first- and second-year college students. With a focus on the needs and interests of students who are underrepresented in the academy (African American, Latinx, low-income, and first-generation students), this book will help all students take full advantage of the academic resources that the university setting has to offer. The authors introduce students to different types of research across the disciplines, showing them how to work with professors to build a course of study, how to integrate research work into coursework, and how to write and present research. This timely volume will also assist faculty, staff, and parents in providing the needed tools to promote student success. Book Features: Prepares students for the transition from high school to college with a focus on writing, time management, and research skills.Addresses the challenges that face high-achieving, underrepresented students.Empowers students to seek out resources and research opportunities to achieve their full academic potential.Includes models, approaches, student voices, and vignettes from the authors’ successful undergraduate research program. “A must read for every college student. This practical guide provides a roadmap for success as a researcher, a scholar, and a learner.” —Tia Brown McNair, Association of American Colleges & Universities “Faculty mentors and administrative leaders who aspire to be effective sponsors and supporters of students from diverse backgrounds should definitely acquire this resource.” —Elizabeth L. Ambos, Council on Undergraduate Research “What I love about this book is the broader, humanistic conversation about how pursuing research becomes a window into how one becomes a supremely informed and critical citizen.” —Armando Bengochea, director, Mellon-Mays Undergraduate Fellowship Program