A Project Based Guide To Undergraduate Research In Mathematics
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A Project Based Guide To Undergraduate Research In Mathematics
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Author : Pamela E. Harris
language : en
Publisher: Springer Nature
Release Date : 2020-04-17
A Project Based Guide To Undergraduate Research In Mathematics written by Pamela E. Harris and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-17 with Mathematics categories.
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.
A Mathematician S Practical Guide To Mentoring Undergraduate Research
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Author : Michael Dorff
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-09-16
A Mathematician S Practical Guide To Mentoring Undergraduate Research written by Michael Dorff and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-16 with Education categories.
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.
Squigonometry The Study Of Imperfect Circles
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Author : Robert D. Poodiack
language : en
Publisher: Springer Nature
Release Date : 2022-12-15
Squigonometry The Study Of Imperfect Circles written by Robert D. Poodiack and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Mathematics categories.
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.
Undergraduate Research In The Sciences
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Author : Sandra Laursen
language : en
Publisher: John Wiley & Sons
Release Date : 2010-06-15
Undergraduate Research In The Sciences written by Sandra Laursen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-15 with Education categories.
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
The Best Writing On Mathematics 2021
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Author : Mircea Pitici
language : en
Publisher: Princeton University Press
Release Date : 2022-07-19
The Best Writing On Mathematics 2021 written by Mircea Pitici and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-19 with Mathematics categories.
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.
The Cambridge Handbook Of Undergraduate Research
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Author : Harald A. Mieg
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-07
The Cambridge Handbook Of Undergraduate Research written by Harald A. Mieg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-07 with Education categories.
Undergraduate Research (UR) can be defined as an investigation into a specific topic within a discipline by an undergraduate student that makes an original contribution to the field. It has become a major consideration among research universities around the world, in order to advance both academic teaching and research productivity. Edited by an international team of world authorities in UR, this Handbook is the first truly comprehensive and systematic account of undergraduate research, which brings together different international approaches, with attention to both theory and practice. It is split into sections covering different countries, disciplines, and methodologies. It also provides an overview of current research and theoretical perspectives on undergraduate research as well as future developmental prospects of UR. Written in an engaging style, yet wide-ranging in its scope, it is essential reading for anyone wishing to broaden their understanding of how undergraduate research is implemented worldwide.
An Introduction To Undergraduate Research In Computational And Mathematical Biology
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Author : Hannah Callender Highlander
language : en
Publisher: Springer Nature
Release Date : 2020-02-17
An Introduction To Undergraduate Research In Computational And Mathematical Biology written by Hannah Callender Highlander and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-17 with Mathematics categories.
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.
It S Just Math
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Author : Marcy H. Towns
language : en
Publisher: American Chemical Society
Release Date : 2020-06
It S Just Math written by Marcy H. Towns and has been published by American Chemical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06 with Chemistry categories.
At the interface between chemistry and mathematics, this book brings together research on the use mathematics in the context of undergraduate chemistry courses. These university-level studies also support national efforts expressed in the Next Generation Science Standards regarding the importance of skills, such as quantitative reasoning and interpreting data. Curated by award-winning leaders in the field, this book is useful for instructors in chemistry, mathematics, and physics at the secondary and university levels.
Stem Project Based Learning
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Author : Robert M. Capraro
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-20
Stem Project Based Learning written by Robert M. Capraro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-20 with Education categories.
This second edition of Project-Based Learning (PBL) presents an original approach to Science, Technology, Engineering and Mathematics (STEM) centric PBL. We define PBL as an “ill-defined task with a well-defined outcome,” which is consistent with our engineering design philosophy and the accountability highlighted in a standards-based environment. This model emphasizes a backward design that is initiated by well-defined outcomes, tied to local, state, or national standard that provide teachers with a framework guiding students’ design, solving, or completion of ill-defined tasks. This book was designed for middle and secondary teachers who want to improve engagement and provide contextualized learning for their students. However, the nature and scope of the content covered in the 14 chapters are appropriate for preservice teachers as well as for advanced graduate method courses. New to this edition is revised and expanded coverage of STEM PBL, including implementing STEM PBL with English Language Learners and the use of technology in PBL. The book also includes many new teacher-friendly forms, such as advanced organizers, team contracts for STEM PBL, and rubrics for assessing PBL in a larger format.
A Mathematician S Survival Guide
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Author : Steven George Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
A Mathematician S Survival Guide written by Steven George Krantz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Education categories.
"When you are a young mathematician, graduate school marks the first step toward a career in mathematics. During this period, you will make important decisions which will affect the rest of your career. This book is a detailed guide to help you navigate graduate school and the years that follow. -- Publisher description.