Mathematics Research For The Beginning Student Volume 2

Author : Eli E. Goldwyn,Sandy Ganzell,Aaron Wootton
Publisher : Springer Nature
Page : 314 pages
File Size : 41,8 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 : Springer Nature
Page : 323 pages
File Size : 43,6 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 : Pamela E. Harris,Erik Insko,Aaron Wootton
Publisher : Springer Nature
Page : 324 pages
File Size : 53,9 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 : Houghton Mifflin Harcourt
Publisher : Houghton Mifflin
Page : 200 pages
File Size : 55,7 Mb
Release : 2012-05
Category : Education
ISBN : 0547824521

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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 : Robert K. Gerver
Publisher : Information Age Publishing
Page : 0 pages
File Size : 44,8 Mb
Release : 2017-11-03
Category : Mathematics
ISBN : 1641131101

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Writing Math Research Papers by Robert K. 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 : Houghton Mifflin Harcourt
Publisher : Math Expressions
Page : 216 pages
File Size : 41,9 Mb
Release : 2012-05
Category : Education
ISBN : 054782453X

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Math Expressions, Grade 3 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 : Houghton Mifflin Harcourt
Publisher : Math Expressions
Page : 176 pages
File Size : 42,7 Mb
Release : 2012-05
Category : Education
ISBN : 0547824556

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Math Expressions, Grade 5 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 : Aaron Wootton,Valerie Peterson,Christopher Lee
Publisher : Birkhäuser
Page : 313 pages
File Size : 51,5 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 : Houghton Mifflin Harcourt
Publisher : Math Expressions
Page : 144 pages
File Size : 43,5 Mb
Release : 2012-05
Category : Education
ISBN : 0547824513

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Math Expressions, Grade 1 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 : 938 pages
File Size : 52,8 Mb
Release : 1969
Category : Education
ISBN : UFL:31262083003441

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Research in Education by Anonim Pdf

Author : Elizabeth Fennema,Thomas A. Romberg
Publisher : Routledge
Page : 217 pages
File Size : 53,9 Mb
Release : 1999-04-01
Category : Education
ISBN : 9781135676506

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Mathematics Classrooms That Promote Understanding by Elizabeth Fennema,Thomas A. Romberg Pdf

Mathematics Classrooms That Promote Understanding synthesizes the implications of research done by the National Center for Research in Mathematical Sciences on integrating two somewhat diverse bodies of scholarly inquiry: the study of teaching and the study of learning mathematics. This research was organized around content domains and/or continuing issues of education, such as equity and assessment of learning, and was guided by two common goals--defining the mathematics content of the K-12 curriculum in light of the changing mathematical needs of citizens for the 21st century, and identifying common components of classrooms that enable students to learn the redefined mathematics with understanding. To accomplish these goals, classrooms in which instruction facilitated the growth of understanding were established and/or studied. This volume reports and discusses the findings which grew out of this research, and subsequent papers and discussions among the scholars engaged in the endeavor. Section I, "Setting the Stage," focuses on three major threads: What mathematics should be taught; how we should define and increase students' understanding of that mathematics; and how learning with understanding can be facilitated for all students. Section II, "Classrooms That Promote Understanding," includes vignettes from diverse classrooms that illustrate classroom discourse, student work, and student engagement in the mathematics described in Chapter 1 as well as the mental activities described in Chapter 2. These chapters also illustrate how teachers deal with the equity concerns described in Chapter 3. Section III addresses "Developing Classrooms That Promote Understanding." The knowledge of the teaching/learning process gained from the research reported in this volume is a necessary prerequisite for implementing the revisions called for in the current reform movement. The classrooms described show that innovative reform in teaching and learning mathematics is possible. Unlike many volumes reporting research, this book is written at a level appropriate for master's degree students. Very few references are included in the chapters themselves; instead, each chapter includes a short annotated list of articles for expanded reading which provides the scholarly basis and research substantiation for this volume.

Author : Houghton Mifflin Harcourt
Publisher : Math Expressions
Page : 128 pages
File Size : 55,7 Mb
Release : 2012-05
Category : Education
ISBN : 0547824572

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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 : James J. Kaput,Ed Dubinsky,Alan H. Schoenfeld,Thomas P. Dick
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 45,8 Mb
Release : 1998
Category : Education
ISBN : 9780821808825

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Research in Collegiate Mathematics Education III by James J. Kaput,Ed Dubinsky,Alan H. Schoenfeld,Thomas P. Dick Pdf

Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.

Author : Wendy M. Smith,Matthew Voigt,April Ström,David C. Webb,W. Gary Martin
Publisher : American Mathematical Soc.
Page : 348 pages
File Size : 46,8 Mb
Release : 2021-05-05
Category : Education
ISBN : 9781470463779

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Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning by Wendy M. Smith,Matthew Voigt,April Ström,David C. Webb,W. Gary Martin Pdf

The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?

Author : Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Publisher : Corwin Press
Page : 317 pages
File Size : 55,6 Mb
Release : 2021-01-07
Category : Education
ISBN : 9781071810835

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Teaching Math to Multilingual Students, Grades K-8 by Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow Pdf

Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.