Mathematics Research For The Beginning Student Volume 1

Author : Eli E. Goldwyn,Sandy Ganzell,Aaron Wootton
Publisher : Springer Nature
Page : 323 pages
File Size : 52,6 Mb
Release : 2022-11-24
Category : Mathematics
ISBN : 9783031085604

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Mathematics Research for the Beginning Student, Volume 1 by Eli E. Goldwyn,Sandy Ganzell,Aaron Wootton Pdf

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 : Eli E. Goldwyn,Sandy Ganzell,Aaron Wootton
Publisher : Springer Nature
Page : 314 pages
File Size : 49,7 Mb
Release : 2022-11-17
Category : Mathematics
ISBN : 9783031085642

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Mathematics Research for the Beginning Student, Volume 2 by Eli E. Goldwyn,Sandy Ganzell,Aaron Wootton Pdf

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.

Author : Eli E. Goldwyn,Sandy Ganzell,Aaron Wootton
Publisher : Birkhäuser
Page : 0 pages
File Size : 43,6 Mb
Release : 2023-11-18
Category : Mathematics
ISBN : 3031085663

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Mathematics Research for the Beginning Student, Volume 2 by Eli E. Goldwyn,Sandy Ganzell,Aaron Wootton Pdf

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.

Author : Pamela E. Harris,Erik Insko,Aaron Wootton
Publisher : Springer Nature
Page : 324 pages
File Size : 54,5 Mb
Release : 2020-04-17
Category : Mathematics
ISBN : 9783030378530

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A Project-Based Guide to Undergraduate Research in Mathematics by Pamela E. Harris,Erik Insko,Aaron Wootton Pdf

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 : Glenn Ledder
Publisher : Springer Nature
Page : 377 pages
File Size : 47,8 Mb
Release : 2023-04-13
Category : Mathematics
ISBN : 9783031094545

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Mathematical Modeling for Epidemiology and Ecology by Glenn Ledder Pdf

Mathematical Modeling for Epidemiology and Ecology provides readers with the mathematical tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas and the biological implications, with detailed explanations. The author assumes no mathematics background beyond elementary differential calculus. An introductory chapter on basic principles of mathematical modeling is followed by chapters on empirical modeling and mechanistic modeling. These chapters contain a thorough treatment of key ideas and techniques that are often neglected in mathematics books, such as the Akaike Information Criterion. The second half of the book focuses on analysis of dynamical systems, emphasizing tools to simplify analysis, such as the Routh-Hurwitz conditions and asymptotic analysis. Courses can be focused on either half of the book or thematically chosen material from both halves, such as a course on mathematical epidemiology. The biological content is self-contained and includes many topics in epidemiology and ecology. Some of this material appears in case studies that focus on a single detailed example, and some is based on recent research by the author on vaccination modeling and scenarios from the COVID-19 pandemic. The problem sets feature linked problems where one biological setting appears in multi-step problems that are sorted into the appropriate section, allowing readers to gradually develop complete investigations of topics such as HIV immunology and harvesting of natural resources. Some problems use programs written by the author for Matlab or Octave; these combine with more traditional mathematical exercises to give students a full set of tools for model analysis. Each chapter contains additional case studies in the form of projects with detailed directions. New appendices contain mathematical details on optimization, numerical solution of differential equations, scaling, linearization, and sophisticated use of elementary algebra to simplify problems.

Author : Michael Dorff,Allison Henrich,Lara Pudwell
Publisher : American Mathematical Soc.
Page : 211 pages
File Size : 49,8 Mb
Release : 2019-09-16
Category : Mathematics
ISBN : 9781470449346

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A Mathematician’s Practical Guide to Mentoring Undergraduate Research by Michael Dorff,Allison Henrich,Lara Pudwell Pdf

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 : Robert Gerver
Publisher : IAP
Page : 257 pages
File Size : 55,9 Mb
Release : 2013-07-01
Category : Mathematics
ISBN : 9781623962401

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Writing Math Research Papers by Robert Gerver Pdf

Mathematics research papers provide a forum for all mathematics enthusiasts to exercise their mathematical experience, expertise and excitement. The research paper process epitomizes the differentiation of instruction, as each student chooses their own topic and extends it as far as their desire takes them. The features and benefits of the research paper process offer a natural alignment with all eight Common Core State Standards for Mathematical Practice. Writing Math Research Papers serves both as a text for students and as a resource for instructors and administrators. It systematically describes the steps involved in creating a mathematics research paper and an oral presentation. The chapters offer tips on technical writing, formatting, and preparing visual aids. For instructors and administrators, the book covers the logistics necessary in setting up a mathematics research program in a high school setting. This program received the 1997 Chevron Best Practices in Education Award as the premier high school mathematics course in the United States.

Author : Robert Gerver
Publisher : IAP
Page : 277 pages
File Size : 47,5 Mb
Release : 2017-12-01
Category : Mathematics
ISBN : 9781641131124

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Writing Math Research Papers - 5th Ed. by Robert Gerver Pdf

Mathematics research papers provide a forum for all mathematics enthusiasts to exercise their mathematical experience, expertise and excitement. The research paper process epitomizes the differentiation of instruction, as each student chooses their own topic and extends it as far as their motivation and desire takes them. The features and benefits of the research paper process offer a natural alignment with all eight Common Core State Standards for Mathematical Practice. Writing Math Research Papers serves both as a text for students and as a resource for instructors and administrators. The Writing Math Research Papers program started at North Shore High School in 1991, and it received the 1997 Chevron Best Practices in Education Award as the premier high school math course in the United States. Author Robert Gerver’s articles on high school mathematics research programs were featured in the National Council of Teachers of Mathematics publication Developing Mathematically Promising Students, the NCTM’s 1999 Yearbook, Developing Mathematical Reasoning in Grades K – 12, and in the September 2017 issue of the Mathematics Teacher.

Author : Mark A. Peterson,Yanir A. Rubinstein
Publisher : Unknown
Page : 234 pages
File Size : 55,8 Mb
Release : 2015
Category : MATHEMATICS
ISBN : 9814630322

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Directions for Mathematics Research Experience for Undergraduates by Mark A. Peterson,Yanir A. Rubinstein Pdf

Author : Aaron Wootton,Valerie Peterson,Christopher Lee
Publisher : Birkhäuser
Page : 313 pages
File Size : 50,5 Mb
Release : 2018-02-06
Category : Mathematics
ISBN : 9783319660653

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A Primer for Undergraduate Research by Aaron Wootton,Valerie Peterson,Christopher Lee Pdf

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 : Jo Boaler
Publisher : John Wiley & Sons
Page : 311 pages
File Size : 43,7 Mb
Release : 2015-10-12
Category : Education
ISBN : 9781118418277

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Mathematical Mindsets by Jo Boaler Pdf

Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Author : Hmh Hmh
Publisher : Math Expressions
Page : 0 pages
File Size : 55,9 Mb
Release : 2012-05
Category : Juvenile Nonfiction
ISBN : 0547813368

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Student Activity Book, Volume 1 (Softcover) Grade 1 by Hmh Hmh Pdf

This research-based K-6 program is built to provide instruction on the Common Core Standards, and includes special emphasis on the Mathematical Practices and Learning Progressions at every grade level. Based on the NSF-funded Children's Math Worlds project and over 10 years of research, Math Expressions is proven to be effective in raising student achievement. Hands-on and inquiry driven, Math Expressions Common Core teaches students how to represent solutions and explain their answers. This approach helps develop problem-solving and reasoning skills. The strong emphasis in Math Expressions on representation and discussion opens up the world of mathematics to all learners. Every lesson includes intervention, on-level, and challenge differentiation to support classroom needs. - Publisher.

Author : Houghton Mifflin Harcourt
Publisher : Math Expressions
Page : 200 pages
File Size : 49,7 Mb
Release : 2013-04-11
Category : Education
ISBN : 0547824475

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MATH EXPRESSIONS by Houghton Mifflin Harcourt Pdf

This research-based K-6 program is built to provide instruction on the Common Core Standards, and includes special emphasis on the Mathematical Practices and Learning Progressions at every grade level. Based on the NSF-funded Children's Math Worlds project and over 10 years of research, Math Expressions is proven to be effective in raising student achievement. Hands-on and inquiry driven, Math Expressions Common Core teaches students how to represent solutions and explain their answers. This approach helps develop problem-solving and reasoning skills. The strong emphasis in Math Expressions on representation and discussion opens up the world of mathematics to all learners. Every lesson includes intervention, on-level, and challenge differentiation to support classroom needs.--Publisher.

Author : Anonim
Publisher : Unknown
Page : 380 pages
File Size : 44,7 Mb
Release : 1998
Category : Education
ISBN : MINN:30000006323301

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Resources in Education by Anonim Pdf

Author : Kenneth Eriksson,Donald Estep,Claes Johnson
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 45,5 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9783662058008

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Applied Mathematics: Body and Soul by Kenneth Eriksson,Donald Estep,Claes Johnson Pdf

Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilitites of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. The authors are leading researchers in Computational Mathematics who have written various successful books.