Fractions, Tilings, and Geometry

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470440644
Total Pages : 172 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Fractions, Tilings, and Geometry by : Bowen Kerins

Download or read book Fractions, Tilings, and Geometry written by Bowen Kerins and published by American Mathematical Soc.. This book was released on 2018-01-25 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Fractions, Tilings, and Geometry is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. The overall goal of the course is an introduction to non-periodic tilings in two dimensions and space-filling polyhedra. While the course does not address quasicrystals, it provides the underlying mathematics that is used in their study. Because of this goal, the course explores Penrose tilings, the irrationality of the golden ratio, the connections between tessellations and packing problems, and Voronoi diagrams in 2 and 3 dimensions. These topics all connect to precollege mathematics, either as core ideas (irrational numbers) or enrichment for standard topics in geometry (polygons, angles, and constructions). But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes. These materials provide participants with the opportunity for authentic mathematical discovery—participants build mathematical structures by investigating patterns, use reasoning to test and formalize their ideas, offer and negotiate mathematical definitions, and apply their theories and mathematical machinery to solve problems. Fractions, Tilings, and Geometry is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in this series covers the content of one Summer School Teacher Program year and is independent of the rest.

Geometry of Continued Fractions

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642393683
Total Pages : 409 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Geometry of Continued Fractions by : Oleg Karpenkov

Download or read book Geometry of Continued Fractions written by Oleg Karpenkov and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.

Prealgebra 2e

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Publisher :
ISBN 13 : 9781680923261
Total Pages : 1148 pages
Book Rating : 4.9/5 (232 download)

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Book Synopsis Prealgebra 2e by : Lynn Marecek

Download or read book Prealgebra 2e written by Lynn Marecek and published by . This book was released on 2020-03-11 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The images in this book are in color. For a less-expensive grayscale paperback version, see ISBN 9781680923254. Prealgebra 2e is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics. Students who are taking basic mathematics and prealgebra classes in college present a unique set of challenges. Many students in these classes have been unsuccessful in their prior math classes. They may think they know some math, but their core knowledge is full of holes. Furthermore, these students need to learn much more than the course content. They need to learn study skills, time management, and how to deal with math anxiety. Some students lack basic reading and arithmetic skills. The organization of Prealgebra makes it easy to adapt the book to suit a variety of course syllabi.

Practical Shop Math

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Publisher :
ISBN 13 : 9781940611631
Total Pages : 0 pages
Book Rating : 4.6/5 (116 download)

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Book Synopsis Practical Shop Math by : Tom Begnal

Download or read book Practical Shop Math written by Tom Begnal and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: There's no need to be intimidated by the fractions, decimals, and geometric formulas that are part of every woodworking project. Practical Shop Math, Tom Begnal's comprehensive and very accessible guide, puts all the solutions at your fingertips so you can enjoy your time in the woodshop building your next project instead of scratching your head.

The Hershey's Milk Chocolate Bar Fractions Book

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Publisher : Scholastic
ISBN 13 : 9780439135191
Total Pages : 36 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis The Hershey's Milk Chocolate Bar Fractions Book by : Jerry Pallotta

Download or read book The Hershey's Milk Chocolate Bar Fractions Book written by Jerry Pallotta and published by Scholastic. This book was released on 1999 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of children's books on the subject of numbers and counting.

Easy Fractions

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Publisher : Remedia Publications
ISBN 13 : 9781596390287
Total Pages : 32 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Easy Fractions by : Remedia Publications

Download or read book Easy Fractions written by Remedia Publications and published by Remedia Publications. This book was released on 2021-12-29 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grade Level: 1-2 CCSS Math Level: 3 ​An introduction to fractions! Easy-to-grasp, graphically illustrated shapes are used to begin teaching the concept of fractions. Example: A half-moon shape is divided into two even parts and students are asked to color the fraction «. In all, there are 25 lessons in this teaching unit. As they work through the exercises, students will enjoy identifying, drawing, coloring, and dividing the basic shapes into fractions of 1/2, 1/4, 1/8, 1/3 and on and on.

Let's Play Math

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Publisher : Tabletop Academy Press
ISBN 13 : 1892083248
Total Pages : 288 pages
Book Rating : 4.8/5 (92 download)

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Book Synopsis Let's Play Math by : Denise Gaskins

Download or read book Let's Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ed Emberley's Picture Pie 2

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Author :
Publisher : Little Brown & Company
ISBN 13 : 9780316234580
Total Pages : 32 pages
Book Rating : 4.2/5 (345 download)

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Book Synopsis Ed Emberley's Picture Pie 2 by :

Download or read book Ed Emberley's Picture Pie 2 written by and published by Little Brown & Company. This book was released on 1996 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: An activity drawing guide by a Caldecott Medalist combines simple instructions and a bound-in stencil for a variety of projects that demonstrate how to create professional-looking posters and displays out of basic shapes. Original.

Geometry Lessons in the Waldorf School

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Publisher :
ISBN 13 : 9781888365528
Total Pages : 0 pages
Book Rating : 4.3/5 (655 download)

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Book Synopsis Geometry Lessons in the Waldorf School by : Ernst Schuberth

Download or read book Geometry Lessons in the Waldorf School written by Ernst Schuberth and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second volume of geometry lessons for the Waldorf school, for Classes 4 and 5 (age 10-12).

Fractions Workbook, Grade 5

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Publisher : Carson-Dellosa Publishing
ISBN 13 : 148380478X
Total Pages : 100 pages
Book Rating : 4.4/5 (838 download)

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Book Synopsis Fractions Workbook, Grade 5 by : Spectrum

Download or read book Fractions Workbook, Grade 5 written by Spectrum and published by Carson-Dellosa Publishing. This book was released on 2013-12-02 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectrum(R) Fractions for grade 5, is designed to completely support and challenge fifth graders to master fractions. This 96-page math workbook goes into great depth about fractions and provides a wide range of examples, practice problems, and assessments to measure progress. --*Builds a foundation in adding, subtracting, multiplying, and dividing fractions --*Step-by-step examples introduce new concepts --*Pretests and Posttests to measure progress --*Problem solving and critical thinking exercises --*Correlated to the Common Core Standards --*Answer key. --The bestÐselling Spectrum(R) workbooks provide students with focused practice based on the essential skills they need to master for Common Core success. With explicit skill instruction, step-by-step examples, ample practice, as well as assessment tools for progress monitoring, students are provided everything they need to master specific math skills. SkillÐspecific Spectrum(R) workbooks are the perfect supplement for home or school.

Same But Different Math

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Publisher : Taylor & Francis
ISBN 13 : 1000595404
Total Pages : 93 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Same But Different Math by : Sue Looney

Download or read book Same But Different Math written by Sue Looney and published by Taylor & Francis. This book was released on 2022-07-21 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Same But Different Math is a powerful routine to help students improve their mathematical reasoning, clarify concepts and make critical connections between ideas. Popular math consultant Sue Looney takes you step by step through implementation so you can easily add this routine into your toolbox. She establishes the rationale for the routine and then walks you through specific examples of when to use it, how to use it and how to make specific connections for learners. Throughout the book, you’ll find examples of lessons with images from a range of grade levels and mathematical content to show you the routine in action. There are also exercises for you to complete while reading to help you apply what you’ve learned, as well as a handy planning section with a template and resource links. In addition, there are Appendices featuring additional examples, which you can download from our website www.routledge.com/9781032126555 for classroom use. With the helpful features in this book, you’ll come away confidently able to implement this routine, bringing all your students to deeper levels of understanding in math.

Multiplying Fractions

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Publisher : Remedia Publications
ISBN 13 : 9781596396999
Total Pages : 32 pages
Book Rating : 4.3/5 (969 download)

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Book Synopsis Multiplying Fractions by : Remedia Publications

Download or read book Multiplying Fractions written by Remedia Publications and published by Remedia Publications. This book was released on 2021-12-30 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grade Level: 3-6 CCSS Level: 4-6 Making fractions make sense! This 23-lesson learning unit is packed with hundreds of sequential fraction activities featuring both computation and word problems. As the third book in a series – following Adding Fractions and Subtracting Fractions – these exercises are designed to build upon what students have already learned. From “writing reciprocals of fractions, whole numbers, and mixed numbers,” to “multiplying a proper fraction by a proper fraction,” and on to “using a banana bread recipe to multiply fractions,” the activities in this book progress from learning basic concepts to mastering an understanding of how to multiply fractions. A Post Test and Answer Key are included.

Give Me Half!

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Publisher : Harper Collins
ISBN 13 : 0064467015
Total Pages : 44 pages
Book Rating : 4.0/5 (644 download)

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Book Synopsis Give Me Half! by : Stuart J. Murphy

Download or read book Give Me Half! written by Stuart J. Murphy and published by Harper Collins. This book was released on 1996-03-27 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Splitting things in half may seem like an easy thing to do, but when two siblings and a pizza are involved, things can get messy. Children learn about fractions at school but fractions are also an important part of everyday life outside the classroom.In this riotous book, Stuart J. Murphy and G. Brian Karas introduce the simplest of fractions, 1/2.

Extending Children's Mathematics

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Publisher : Heinemann Educational Books
ISBN 13 : 9780325030531
Total Pages : 0 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Extending Children's Mathematics by : Susan B. Empson

Download or read book Extending Children's Mathematics written by Susan B. Empson and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.

Funky Fractions

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Publisher :
ISBN 13 : 9781627177177
Total Pages : 0 pages
Book Rating : 4.1/5 (771 download)

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Book Synopsis Funky Fractions by : Lisa Arias

Download or read book Funky Fractions written by Lisa Arias and published by . This book was released on 2014-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiplying and dividing fractions can be difficult if the proper steps aren't taken. There is a fun way to learn using rhyming, step-by-step directions and visual representations.

Fraction Action

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Publisher :
ISBN 13 : 9780823411092
Total Pages : 0 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Fraction Action by :

Download or read book Fraction Action written by and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Miss Prime and her animal students explore fractions by finding many examples in the world around them.

Guided Math AMPED

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Publisher : Dave Burgess Consulting
ISBN 13 : 9781951600761
Total Pages : 124 pages
Book Rating : 4.6/5 (7 download)

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Book Synopsis Guided Math AMPED by : Reagan Tunstall

Download or read book Guided Math AMPED written by Reagan Tunstall and published by Dave Burgess Consulting. This book was released on 2021-03-31 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: In today's classrooms, the instructional needs and developmental levels of our students are highly varied, and the conventional math whole-group model has its downsides. In contrast to the rigid, one-size-ts-all approach of conventional whole-group instruction, guided math allows us to structure our math block to support student learning in risk-free, small-group instruction. Guided math goes beyond just reorganizing your math block; it also gives you an opportunity to approach math instruction with a renewed sense of perspective and purpose. Drawing on two decades of experience, Reagan Tunstall oers step-by-step best practices to help educators revolutionize their math blocks with a student-centered approach. Whether you're a new teacher who's curious about guided math or a veteran educator looking to hone your methodology, Guided Math AMPED will transform your math block into an exciting and engaging encounter that encourages your students to see themselves as genuine mathematicians. "Most educators have come to realize that the magic happens at the teacher table or during small-group instruction. If that's the case, Guided Math AMPED is the spell book." -JENNIFER SALYARDS, M.Ed., principal, Chamberlin Elementary, Stephenville ISD "Guided Math AMPED provides educators with a practical framework for enhancing math instruction in a way that provides research-based practices, differentiated instruction, and fun, all while strengthening relationships with students and developing math mindsets. No matter your experience or tenure in education, Guided Math AMPED will give you tips and tricks to implement in your classroom." -MATT BERES, district administrator, Wooster, OH "Guided math is one of the best things you can implement in your classroom, and Reagan Tunstall is the best to learn from, thanks to her perfect framework and step-by-step instructions. She has thought through every potential roadblock and offers concise solutions because she's experienced it all in her own classroom." -HALEE SIKORSKI, educator, A Latte Learning "Don't you dare let another teacher borrow this book . . . you may never get it back! From the rst page to the end, this book is lled with practical ideas and guidelines guaranteed to take your guided math block to the next level." -LORI MCDONALD, M.Ed., retired educator