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A Project Based Guide To Undergraduate Research In Mathematics
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Book Synopsis A Project-Based Guide to Undergraduate Research in Mathematics by : Pamela E. Harris
Download or read book A Project-Based Guide to Undergraduate Research in Mathematics written by Pamela E. Harris and published by Springer Nature. This book was released on 2020-04-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Directions For Mathematics Research Experience For Undergraduates by : Rubinstein Yanir A
Download or read book Directions For Mathematics Research Experience For Undergraduates written by Rubinstein Yanir A and published by World Scientific. This book was released on 2015-09-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.
Book Synopsis A Mathematician’s Practical Guide to Mentoring Undergraduate Research by : Michael Dorff
Download or read book A Mathematician’s Practical Guide to Mentoring Undergraduate Research written by Michael Dorff and published by American Mathematical Soc.. This book was released on 2019-09-16 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Introduction to Undergraduate Research in Computational and Mathematical Biology by : Hannah Callender Highlander
Download or read book An Introduction to Undergraduate Research in Computational and Mathematical Biology written by Hannah Callender Highlander and published by Springer Nature. This book was released on 2020-02-17 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Models for Undergraduate Research in Mathematics by : Lester Senechal
Download or read book Models for Undergraduate Research in Mathematics written by Lester Senechal and published by MAA Press. This book was released on 1991 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Making the Connection by : Marilyn Paula Carlson
Download or read book Making the Connection written by Marilyn Paula Carlson and published by MAA. This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Primer for Undergraduate Research by : Aaron Wootton
Download or read book A Primer for Undergraduate Research written by Aaron Wootton and published by Birkhäuser. This book was released on 2018-02-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics Research for the Beginning Student, Volume 1 by : Eli E. Goldwyn
Download or read book Mathematics Research for the Beginning Student, Volume 1 written by Eli E. Goldwyn and published by Springer Nature. This book was released on 2022-11-24 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics Education Research: A Guide for the Research Mathematician by : Curtis C. McKnight
Download or read book Mathematics Education Research: A Guide for the Research Mathematician written by Curtis C. McKnight and published by American Mathematical Soc.. This book was released on 2000 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics Research for the Beginning Student, Volume 2 by : Eli E. Goldwyn
Download or read book Mathematics Research for the Beginning Student, Volume 2 written by Eli E. Goldwyn and published by Springer Nature. This book was released on 2022-11-17 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students are still hard to find. To address this need, this volume provides beginning students who have already had some exposure to calculus with specific research projects and the tools required to tackle them. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. In addition to calculus, some of the later chapters require prerequisites such as linear algebra and statistics. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include: lattice walks in the plane statistical modeling of survival data building blocks and geometry modeling of weather and climate change mathematics of risk and insurance Mathematics Research for the Beginning Student, Volume 2 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 not yet studied calculus is also available.
Book Synopsis The Indispensable Guide to Undergraduate Research by : Anne H. Charity Hudley
Download or read book The Indispensable Guide to Undergraduate Research written by Anne H. Charity Hudley and published by Teachers College Press. This book was released on 2017 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis The Craft of Research, Fifth Edition by : Wayne C. Booth
Download or read book The Craft of Research, Fifth Edition written by Wayne C. Booth and published by University of Chicago Press. This book was released on 2024-07-12 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly updated edition of a beloved classic that has guided generations of researchers in conducting effective and meaningful research. With more than a million copies sold since its first publication, The Craft of Research has helped generations of researchers at every level—from high-school students and first-year undergraduates to advanced graduate students to researchers in business and government. Conceived by seasoned researchers and educators Wayne C. Booth, Gregory G. Colomb, and Joseph M. Williams, this fundamental work explains how to choose significant topics, pose genuine and productive questions, find and evaluate sources, build sound and compelling arguments, and convey those arguments effectively to others. While preserving the book’s proven approach to the research process, as well as its general structure and accessible voice, this new edition acknowledges the many ways research is conducted and communicated today. Thoroughly revised by Joseph Bizup and William T. FitzGerald, it recognizes that research may lead to a product other than a paper—or no product at all—and includes a new chapter about effective presentations. It features fresh examples from a variety of fields that will appeal to today’s students and other readers. It also accounts for new technologies used in research and offers basic guidelines for the appropriate use of generative AI. And it ends with an expanded chapter on ethics that addresses researchers’ broader obligations to their research communities and audiences as well as systemic questions about ethical research practices. This new edition will be welcomed by a new and more diverse generation of researchers.
Book Synopsis The Best Writing on Mathematics 2021 by : Mircea Pitici
Download or read book The Best Writing on Mathematics 2021 written by Mircea Pitici and published by Princeton University Press. This book was released on 2022-07-19 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year’s finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world—and you don’t need to be a mathematician to enjoy the pieces collected here. These essays—from leading names and fresh new voices—delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice, and taking readers behind the scenes of today’s hottest mathematical debates. Here, Viktor Blåsjö gives a brief history of “lockdown mathematics”; Yelda Nasifoglu decodes the politics of a seventeenth-century play in which the characters are geometric shapes; and Andrew Lewis-Pye explains the basic algorithmic rules and computational procedures behind cryptocurrencies. In other essays, Terence Tao candidly recalls the adventures and misadventures of growing up to become a leading mathematician; Natalie Wolchover shows how old math gives new clues about whether time really flows; and David Hand discusses the problem of “dark data”—information that is missing or ignored. And there is much, much more.
Book Synopsis Undergraduate Research in the Sciences by : Sandra Laursen
Download or read book Undergraduate Research in the Sciences written by Sandra Laursen and published by John Wiley & Sons. This book was released on 2010-06-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undergraduate research enhances the learning experience of students in science, technology, engineering, and mathematics. Undergraduate Research in the Sciences offers a groundbreaking and practical research-based book on the topic. This comprehensive resource addresses how undergraduate research benefits undergraduate participants, including those populations that are underrepresented in the sciences; compares its benefits with other types of educational activities and experiences; and assesses its long-term value to students and faculty as both a scholarly and educational endeavor. In laying out the processes by which these benefits are achieved, this important book can assist faculty and program directors with practical guidance for design and evaluation of both new and existing undergraduate research programs. Praise for Undergraduate Research in the Sciences "This meticulous, definitive study of the effects of working with a faculty member on research as an undergraduate confirms the overall value of the experience by taking us deep into the minds and actions of participants—both faculty and students. As a result we now have many more compelling reasons to get more students involved with research mentors and ways to optimize the benefits for all parties."—George D. Kuh, Chancellor's Professor and director, Indiana University Center for Postsecondary Research "This timely book offers a unique, comprehensive analysis of undergraduate research in the sciences, based on the voices of college students and faculty mentors who have participated in these voyages of discovery. As our nation struggles to train more scientists, this book will be a valuable resource for designing undergraduate research experiences that can build our country's capacity for discovery and innovation."—Arthur B. Ellis, Vice Chancellor for Research, University of California, San Diego "The text is written in a lucid and engaging style and will be a valuable guide to policymakers, academic administrators, and faculty members who want to find ways to engage undergraduates in the 'real work' of investigation."—Judith A. Ramaley, president, Winona State University "This book is a 'must-read' for anyone who directs undergraduates in research. It presents an impressive and rigorous body of work that brings fresh insights into the field of undergraduate research. The next generation of scientists will benefit greatly from the findings and recommendations!"—Jo Handelsman, Howard Hughes Medical Institute Professor, Yale University
Book Synopsis Proceedings of the Conference on Promoting Undergraduate Research in Mathematics by : Joseph A. Gallian
Download or read book Proceedings of the Conference on Promoting Undergraduate Research in Mathematics written by Joseph A. Gallian and published by . This book was released on 2007 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Descriptions of summer research programs: The AIM REU: Individual projects with a common theme by D. W. Farmer The Applied Mathematical Sciences Summer Institute by E. T. Camacho and S. A. Wirkus Promoting research and minority participantion via undergraduate research in the mathematical sciences. MTBI/SUMS-Arizona State University by C. Castillo-Chavez, C. Castillo-Garsow, G. Chowell, D. Murillo, and M. Pshaenich Summer mathematics research experience for undergraduates (REU) at Brigham Young University by M. Dorff Introducing undergraduates for underrepresented minorities to mathematical research: The CSU Channel Islands/California Lutheran University REU, 2004-2006 by C. Wyels The REUT and NREUP programs at California State University, Chico by C. M. Gallagher and T. W. Mattman Undergraduate research at Canisius. Geometry and physics on graphs, summer 2006 by S. Prassidis The NSF REU at Central Michigan University by S. Narayan and K. Smith Claremont Colleges REU, 2005-07 by J. Hoste The first summer undergraduate research program at Clayton State University by A. Lanz Clemson REU in computational number theory and combinatorics by N. Calkin and K. James Research with pre-mathematicians by C. R. Johnson Traditional roots, new beginnings: Transitions in undergraduate research in mathematics at ETSU by A. P. Godbole Undergraduate research in mathematics at Grand Valley State University by S. Schlicker The Hope College REU program by T. Pennings The REU experience at Iowa State University by L. Hogben Lafayette College's REU by G. Gordon LSU REU: Graphs, knots, & Dessins in topology, number theory & geometry by N. W. Stoltzfus, R. V. Perlis, and J. W. Hoffman Mount Holyoke College mathematics summer research institute by M. M. Robinson The director's summer program at the NSA by T. White REU in mathematical biology at Penn State Erie, The Behrend College by J. P. Previte, M. A. Rutter, and S. A. Stevens The Rice University Summer Institute of Statistics (RUSIS) by J. Rojo The Rose-Hulman REU in mathematics by K. Bryan The REU program at DIMACS/Rutgers University by B. J. Latka and F. S. Roberts The SUNY Potsdam-Clarkson University REU program by J. Foisy The Trinity University research experiences for undergraduates in mathematics program by S. Chapman Undergraduate research in mathematics at the University of Akron by J. D. Adler The Duluth undergraduate research program 1977-2006 by J. A. Gallian Promoting undergraduate research in mathematics at the University of Nebraska-Lincoln by J. L. Walker, W. Ledder, R. Rebarber, and G. Woodward REU site: Algorithmic combinatorics on words by F. Blanchet-Sadri Promoting undergraduate research by T. Aktosun Research experiences for undergraduates inverse problems for electrical networks by J. A. Morrow Valparaiso experiences in research for undergraduates in mathematics by R. Gillman and Z. Szaniszlo Wabash Summer Institute in Algebra (WSIA) by M. Axtell, J. D. Phillips, and W. Turner THe SMALL program at Williams College by C. E. Silva and F. Morgan Industrial mathematics and statistics research for undergraduates at WPI by A. C. Heinricher and S. L. Weekes Descriptions of summer enrichment programs: Twelve years of summer program for women in mathematics-What works and why? by M. M. Gupta Research experience for undergraduates in numerical analysis and scientific computing: An international program by G. Fairweather and B. M. Moskal Articles: The Long-Term Undergraduate Research (LURE) model by S. S. Adams, J. A. Davis, N. Eugene, K. Hoke, S. Narayan, and K. Smith Research with students from underrepresented groups by R. Ashley, A. Ayela-Uwangue, F. Cabrera, C. Callesano, and D. A. Narayan Research classes at Gettysburg College by B. Bajnok Research in industrial projects for students: A unique undergraduate experience by S. Beggs What students say about their REU experience by F. Connolly and J. A. Gallian Diversity issues in undergraduate research by R. Cortez, D. Davenport, H
Book Synopsis Solved and Unsolved Problems in Number Theory by : Daniel Shanks
Download or read book Solved and Unsolved Problems in Number Theory written by Daniel Shanks and published by American Mathematical Society. This book was released on 2024-01-24 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers.
Book Synopsis Squigonometry: The Study of Imperfect Circles by : Robert D. Poodiack
Download or read book Squigonometry: The Study of Imperfect Circles written by Robert D. Poodiack and published by Springer Nature. This book was released on 2022-12-15 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |x|p + |y|p = 1 where p ≥ 1. Grounded in visualization and computations, this accessible, modern perspective encompasses new and old results, casting a fresh light on duality, special functions, geometric curves, and differential equations. Projects and opportunities for research abound, as we explore how similar (or different) the trigonometric and squigonometric worlds might be. Comprised of many short chapters, the book begins with core definitions and techniques. Successive chapters cover inverse squigonometric functions, the many possible re-interpretations of π, two deeper dives into parameterizing the squigonometric functions, and integration. Applications include a celebration of Piet Hein’s work in design. From here, more technical pathways offer further exploration. Topics include infinite series; hyperbolic, exponential, and logarithmic functions; metrics and norms; and lemniscatic and elliptic functions. Illuminating illustrations accompany the text throughout, along with historical anecdotes, engaging exercises, and wry humor. Squigonometry: The Study of Imperfect Circles invites readers to extend familiar notions from trigonometry into a new setting. Ideal for an undergraduate reading course in mathematics or a senior capstone, this book offers scaffolding for active discovery. Knowledge of the trigonometric functions, single-variable calculus, and initial-value problems is assumed, while familiarity with multivariable calculus and linear algebra will allow additional insights into certain later material.
