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Geometry And Fractions
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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.
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.
Download or read book Fractions written by Penny Dowdy and published by Crabtree Publishing Company. This book was released on 2008-08 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces young children to the use of fractions in mathematics.
Book Synopsis Geometric Shapes & Beginning Fractions by : Jo Ellen Moore
Download or read book Geometric Shapes & Beginning Fractions written by Jo Ellen Moore and published by Evan-Moor Educational Publishers. This book was released on 1997-04-17 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Shapes, Halves, and Symmetry by : Joan Akers
Download or read book Shapes, Halves, and Symmetry written by Joan Akers and published by . This book was released on 2006 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Shapes, Halves, and Symmetry by : Joan Akers
Download or read book Shapes, Halves, and Symmetry written by Joan Akers and published by . This book was released on 1998 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry and Fractions with Geoboard by : Barbara Bando Irvin
Download or read book Geometry and Fractions with Geoboard written by Barbara Bando Irvin and published by . This book was released on 1997 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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).
Book Synopsis Geometry of Continued Fractions by : Oleg N. Karpenkov
Download or read book Geometry of Continued Fractions written by Oleg N. Karpenkov and published by Springer Nature. This book was released on 2022-05-28 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 second edition now includes a geometric approach to Gauss Reduction Theory, classification of integer regular polygons and some further new subjects. 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. 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.
Book Synopsis Shapes, Halves, and Symmetry by : Joan Akers
Download or read book Shapes, Halves, and Symmetry written by Joan Akers and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry and Fractions with Pattern Blocks by : Barbara Bando Irvin
Download or read book Geometry and Fractions with Pattern Blocks written by Barbara Bando Irvin and published by . This book was released on 1995 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 64-page blackline master book, complete with teaching notes and problem-solving activities for congruent and similar shapes, transformational geometry and fractions.
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.
Book Synopsis Geometry and Fractions with Color Tiles by : Barbara Bando Irvin
Download or read book Geometry and Fractions with Color Tiles written by Barbara Bando Irvin and published by . This book was released on 1997 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Seeing Fractions by : Rebecca B. Corwin
Download or read book Seeing Fractions written by Rebecca B. Corwin and published by Hippocrene Books. This book was released on 1991 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Seeing Fractions" is an instructional unit for teachers in California that was trial tested in about 30 classrooms, grades 4 through 6 with diverse student populations, and designed to help students become aware of the variety of ways in which fractions are commonly used. The Introduction includes an overview of fractions and what students will be expected to learn, a discussion of the teaching and learning theory of constructing mathematical models that is advocated in this unit, and a discussion of teaching techniques that indicate the use of manipulatives, small-group work, homework, parent communication, and the teacher's role in the classroom. The remainder of the unit is organized into five modules, each of which focuses on a different context for exploring fractions. Each module requires between five and seven class sessions, and includes the following components: an overview of the module; plans for each class session that break up each module into manageable segments with accompanying activities; teacher notes that draw on observations of students' strategies, approaches, difficulties, and confusions; and dialogue boxes that give examples of conversations in which students attempt to express their understanding of key mathematical ideas. The modules are: (1) Geometry with Fractions; (2) Rates--A Different Model; (3) Sharing Cookies; (4) Making and Using Fraction Strips; and (5) Using Fractions to Compare Data. The final section discusses assessment alternatives for the unit. Student worksheets in English and in Spanish are interpersed in the text. (MDH)
Book Synopsis The Complete Book of Math, Grades 1 - 2 by :
Download or read book The Complete Book of Math, Grades 1 - 2 written by and published by Carson-Dellosa Publishing. This book was released on 2014-12-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Complete Book of Math provides 352 pages of fun exercises for students in grades 1 to 2 that teach students key lessons in basic math skills. Lessons cover topics including patterns, comparing, geometry, place value, measurement, graphing, time and money, and fractions. it also includes a complete answer key, user-friendly activities, and easy-to-follow instructions. Over 4 million in print! Designed by leading experts, books in the Complete Book series help children in grades preschool-6 build a solid foundation in key subject areas for learning success. Complete Book are the most thorough and comprehensive learning guides available, offering high-interest lessons to encourage learning and full-color illustrations to spark interest. Each book also features challenging concepts and activities to motivate independent study, a fun page of stickers, and a complete answer key to measure performance and guide instruction.
Download or read book Different Shapes, Equal Pieces written by and published by . This book was released on 2006 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
