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Solved and Unsolved Problems in Number Theory

Solved and Unsolved Problems in Number Theory
Author: Daniel Shanks
Publisher: American Mathematical Society
Total Pages: 321
Release: 2024-01-24
Genre: Mathematics
ISBN: 1470476452

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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.


A Project-Based Guide to Undergraduate Research in Mathematics

A Project-Based Guide to Undergraduate Research in Mathematics
Author: Pamela E. Harris
Publisher: Springer Nature
Total Pages: 324
Release: 2020-04-17
Genre: Mathematics
ISBN: 3030378535

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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.


Engaging Undergraduates in Publishable Research: Best Practices

Engaging Undergraduates in Publishable Research: Best Practices
Author: Traci A. Giuliano
Publisher: Frontiers Media SA
Total Pages: 202
Release: 2019-11-20
Genre:
ISBN: 2889631443

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Although many articles and books have been written about conducting research with undergraduates, there is a dearth of research on the process of publishing with undergraduates. Thus, in this research topic, we assembled a collection of 43 articles from 98 researchers worldwide who are passionate about—and have had success in—publishing high quality peer-reviewed journal articles with undergraduates. The diverse articles represent a wide range of practices to help researchers publish with undergraduates, including structuring the curriculum to promote undergraduate research and publication, optimizing research experiences for undergraduates, training students in implementing advanced techniques, accessing special populations, or conducting research in off-campus settings, addressing institutional and career challenges for faculty, and increasing inclusion and diversity. Each article provides a unique and diverse perspective that nevertheless resonates across contexts and situations. We hope that the ideas, models, techniques, and practices in these articles will motivate and inspire readers to begin, continue, or rethink how they engage undergraduates in publishable research; we also hope to stimulate empirical and quantitative research on the effectiveness of these ideas, models, techniques, and practices.


How to Practice Academic Medicine and Publish from Developing Countries?

How to Practice Academic Medicine and Publish from Developing Countries?
Author: Samiran Nundy
Publisher: Springer Nature
Total Pages: 475
Release: 2021-10-23
Genre: Medical
ISBN: 9811652481

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This is an open access book. The book provides an overview of the state of research in developing countries – Africa, Latin America, and Asia (especially India) and why research and publications are important in these regions. It addresses budding but struggling academics in low and middle-income countries. It is written mainly by senior colleagues who have experienced and recognized the challenges with design, documentation, and publication of health research in the developing world. The book includes short chapters providing insight into planning research at the undergraduate or postgraduate level, issues related to research ethics, and conduct of clinical trials. It also serves as a guide towards establishing a research question and research methodology. It covers important concepts such as writing a paper, the submission process, dealing with rejection and revisions, and covers additional topics such as planning lectures and presentations. The book will be useful for graduates, postgraduates, teachers as well as physicians and practitioners all over the developing world who are interested in academic medicine and wish to do medical research.


Undergraduate Research for Student Engagement and Learning

Undergraduate Research for Student Engagement and Learning
Author: Joseph L. Murray
Publisher: Routledge
Total Pages: 267
Release: 2017-08-09
Genre: Education
ISBN: 1317432266

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There is growing interest in undergraduate research, given its benefits to students, faculty members, and the institution. For higher education scholars, faculty, and administrators, this book logically synthesizes the literature to demonstrate its impact on facilitation of learning and engagement and to chart a course for expanding and improving these opportunities. This book provides a comprehensive overview of undergraduate research as a "high-impact practice" in postsecondary education, from its theoretical underpinnings and research-base, to student participation and faculty incentives. This important resource offers analysis of the current state of undergraduate research, explores challenges and unresolved questions affecting undergraduate research, and provides implications for research and practice.


The Enlightened Eye

The Enlightened Eye
Author: Elliot W. Eisner
Publisher: Teachers College Press
Total Pages: 289
Release: 2017-02-24
Genre: Education
ISBN: 0807758248

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Eisner's seminal work on mind, education, and research explores the ways in which the methods, content, and assumptions in the arts, humanities, and social sciences can help us better understand our schools and classrooms. The Enlightened Eye expands how we think about inquiry in education and broadens our views about what it means to "know" with the goal of positively influencing the educational experience of those who live and work in our schools. The text includes examples depicting this type of research and how it can be used to evaluate teaching, learning, and the school environment.


Undergraduate Research Journals and Career Readiness

Undergraduate Research Journals and Career Readiness
Author:
Publisher:
Total Pages: 58
Release: 2018
Genre:
ISBN:

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This research aims to identify the effects that an undergraduate research journal, specifically the James Madison Undergraduate Research Journal (JMURJ), has on its past and present student editors' career readiness. I began by exploring the existing literature surrounding undergraduate research, undergraduate research journals, and other studies done to measure the effects that these undergraduate research journals have on students at various institutions. Then, I conducted a survey on current and past members of the JMURJ editorial board, using a specific set of questions to determine if an undergraduate research journal such as the one at James Madison University was assisting/had already assisted students in recognizing their career skillsets. Using the feedback from this survey, I was able to identify common trends and their implications, as well as potential limitations to this study. Due to the highly specific nature of undergraduate research journals and their localized environments, the methodology used for this research is not meant to be replicated by other journals, but rather used as a resource for the current editorial board members of JMURJ. The current study also serves as a current assessment of how and how well the JMURJ approach serves students as an undergraduate research journal, so that it can be of use to JMURJ, other board members and journals, and to other universities committed to undergraduate research.


Scholarship in the Sandbox

Scholarship in the Sandbox
Author: Amy S. Jackson
Publisher: Association of College & Research Libraries
Total Pages: 358
Release: 2019
Genre: Academic libraries
ISBN: 9780838989531

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"Scholarship in the Sandbox" is broken into four sections--Library as Laboratory, Library as Forum, Library as Archive, and Articulating the Value of Student Work--containing case studies that address the innovative ways libraries are actively occupying more central space on campus as practical laboratories outside of the classroom. They demonstrate collective learning in a sandbox environment where the answers are far less important than the multiplicity of prospective solutions, and present several models for providing a supportive environment in which students, teaching faculty, and librarians can practice, explore, fail at, and refine their academic work through collaboration.--


An Introduction to Undergraduate Research in Computational and Mathematical Biology

An Introduction to Undergraduate Research in Computational and Mathematical Biology
Author: Hannah Callender Highlander
Publisher: Springer Nature
Total Pages: 479
Release: 2020-02-17
Genre: Mathematics
ISBN: 303033645X

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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.