Keeping It R.E.A.L Research Experiences for All Learners

Keeping it R.E.A.L.: Research Experiences for All Learners is a collection of computational classroom projects carefully designed to inspire critical thinking and mathematical inquiry. This book also contains background subject information for each project, grading rubrics, and directions for furthe...

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Main Authors: Martin, Carla D., Tongen, Anthony
Format: eBook
Language:English
Published: Providence, Rhode Island American Mathematical Society 2011
Mathematical Association of America
Edition:1
Series:Classroom Resource Materials
Subjects:
Computation laboratories
Critical thinking
Mathematics
Problems, exercises, etc
Project method in teaching
Study and teaching (Higher)
ISBN:9780883857748, 088385774X
Online Access:Get full text
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Abstract Keeping it R.E.A.L.: Research Experiences for All Learners is a collection of computational classroom projects carefully designed to inspire critical thinking and mathematical inquiry. This book also contains background subject information for each project, grading rubrics, and directions for further research. Instructors can use these materials inside or outside the classroom to inspire creativity and encourage undergraduate research. R.E.A.L. projects are suitable for a wide-range of college students, from those with minimal computational exposure and precalculus background to upper-level students in a numerical analysis course. Each project is class tested, and most were presented as posters at regional conferences.
AbstractList Keeping it R.E.A.L.: Research Experiences for All Learners is a collection of computational classroom projects carefully designed to inspire critical thinking and mathematical inquiry. This book also contains background subject information for each project, grading rubrics, and directions for further research. Instructors can use these materials inside or outside the classroom to inspire creativity and encourage undergraduate research. R.E.A.L. projects are suitable for a wide-range of college students, from those with minimal computational exposure and precalculus background to upper-level students in a numerical analysis course. Each project is class tested, and most were presented as posters at regional conferences.
Author Martin, Carla D.
Tongen, Anthony
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  organization: both from James Madison University
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Copyright Copyright 2011 American Mathematical Society
2011 Mathematical Association of America, Inc.
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Snippet Keeping it R.E.A.L.: Research Experiences for All Learners is a collection of computational classroom projects carefully designed to inspire critical thinking...
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SubjectTerms Computation laboratories
Critical thinking
Mathematics
Problems, exercises, etc
Project method in teaching
Study and teaching (Higher)
Subtitle Research Experiences for All Learners
TableOfContents Introduction and Motivation -- Computer Exploration of Mathematical Concepts -- Numerical Algorithms -- Advanced Numerical Analysis
Front Matter Acknowledgments Table of Contents 1: Introduction and Motivation 2: Computer Exploration of Mathematical Concepts 3: Numerical Algorithms 4: Advanced Numerical Analysis Bibliography Index About the Authors
cover -- copyright page -- Untitled -- Acknowledgments -- Contents -- Introduction and Motivation -- Introduction -- Motivation -- Implementation -- Grading -- Organization -- Computer Exploration of Mathematical Concepts -- A Prime Project -- A Golden Prime Project -- A Rather Normal Project -- Collatz Collapse -- Fractions of Fractions -- Diffusion by Chance -- Random Investing -- Infinite Digits with Finite Storage -- Follow the Rules! -- Chaotic Rabbits -- Smoothing Out Tangles -- Shortening Voices Everywhere -- Student Poster Example -- Numerical Algorithms -- Bit by Bit -- Getting to the Root of the Problem -- Things that Periodically Fit -- Going with the Flow -- SupercaliFRACTAListic! -- Chain Reactions -- The World's Largest Linear Algebra Problem -- Shifting the Way We Think About Linear Algebra -- Facing Reality with Eigenfaces -- Matrix Surgery: Operating on Matrices -- Student Poster Example -- Advanced Numerical Analysis -- Matrices of Matrices -- Wrapping Around Matrices -- Getting Smaller -- Improved Hearing -- You Match I Match -- Seeing More Clearly -- Eigenvalue Computing Side-by-Side -- Delayed Understanding -- Student Poster Example -- Bibliography -- Index -- About the Authors
Title Keeping It R.E.A.L
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