Counting Many Ways

Counting Many Ways PDF Author: Paul Giganti Jr.
Publisher: Capstone
ISBN: 9780736812801
Category : Juvenile Nonfiction
Languages : en
Pages : 26

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Book Description
Simple text and photographs demonstrate different ways of counting.

Counting Many Ways

Counting Many Ways PDF Author: Paul Giganti Jr.
Publisher: Capstone
ISBN: 9780736812801
Category : Juvenile Nonfiction
Languages : en
Pages : 26

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Book Description
Simple text and photographs demonstrate different ways of counting.

Number Sense Routines

Number Sense Routines PDF Author: Jessica F. Shumway
Publisher: Stenhouse Publishers
ISBN: 1571107908
Category : Education
Languages : en
Pages : 194

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Book Description
Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.

Two Ways to Count to Ten

Two Ways to Count to Ten PDF Author:
Publisher: Macmillan
ISBN: 9780805013146
Category : Juvenile Nonfiction
Languages : en
Pages : 38

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Book Description
A collection of children's books on the subject of numbers and counting.

Discrete Mathematics

Discrete Mathematics PDF Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534970748
Category :
Languages : en
Pages : 342

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Book Description
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.

12 Ways to Get to 11

12 Ways to Get to 11 PDF Author: Eve Merriam
Publisher: Turtleback Books
ISBN: 9780613437165
Category : Addition
Languages : en
Pages : 0

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Book Description
For use in schools and libraries only. Uses ordinary experiences to present twelve combinations of numbers that add up to eleven.

Counting by 7s

Counting by 7s PDF Author: Holly Goldberg Sloan
Publisher: Penguin
ISBN: 014242286X
Category : Juvenile Fiction
Languages : en
Pages : 417

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Book Description
A New York Times Bestseller In the tradition of Out of My Mind, Wonder, and Mockingbird, this is an intensely moving middle grade novel about being an outsider, coping with loss, and discovering the true meaning of family. Willow Chance is a twelve-year-old genius, obsessed with nature and diagnosing medical conditions, who finds it comforting to count by 7s. It has never been easy for her to connect with anyone other than her adoptive parents, but that hasn’t kept her from leading a quietly happy life . . . until now. Suddenly Willow’s world is tragically changed when her parents both die in a car crash, leaving her alone in a baffling world. The triumph of this book is that it is not a tragedy. This extraordinarily odd, but extraordinarily endearing, girl manages to push through her grief. Her journey to find a fascinatingly diverse and fully believable surrogate family is a joy and a revelation to read. * “Willow's story is one of renewal, and her journey of rebuilding the ties that unite people as a family will stay in readers' hearts long after the last page.”—School Library Journal starred review * “A graceful, meaningful tale featuring a cast of charming, well-rounded characters who learn sweet—but never cloying—lessons about resourcefulness, community, and true resilience in the face of loss.”—Booklist starred review * “What sets this novel apart from the average orphan-finds-a-home book is its lack of sentimentality, its truly multicultural cast (Willow describes herself as a “person of color”; Mai and Quang-ha are of mixed Vietnamese, African American, and Mexican ancestry), and its tone. . . . Poignant.”—The Horn Book starred review "In achingly beautiful prose, Holly Goldberg Sloan has written a delightful tale of transformation that’s a celebration of life in all its wondrous, hilarious and confounding glory. Counting by 7s is a triumph."—Maria Semple, author of Where’d You Go, Bernadette

Statistics Using Technology, Second Edition

Statistics Using Technology, Second Edition PDF Author: Kathryn Kozak
Publisher: Lulu.com
ISBN: 1329757254
Category : Education
Languages : en
Pages : 459

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Book Description
Statistics With Technology, Second Edition, is an introductory statistics textbook. It uses the TI-83/84 calculator and R, an open source statistical software, for all calculations. Other technology can also be used besides the TI-83/84 calculator and the software R, but these are the ones that are presented in the text. This book presents probability and statistics from a more conceptual approach, and focuses less on computation. Analysis and interpretation of data is more important than how to compute basic statistical values.

Making Numbers Count

Making Numbers Count PDF Author: Chip Heath
Publisher: Simon and Schuster
ISBN: 1982165456
Category : Business & Economics
Languages : en
Pages : 208

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Book Description
A clear, practical, first-of-its-kind guide to communicating and understanding numbers and data—from bestselling business author Chip Heath. How much bigger is a billion than a million? Well, a million seconds is twelve days. A billion seconds is…thirty-two years. Understanding numbers is essential—but humans aren’t built to understand them. Until very recently, most languages had no words for numbers greater than five—anything from six to infinity was known as “lots.” While the numbers in our world have gotten increasingly complex, our brains are stuck in the past. How can we translate millions and billions and milliseconds and nanometers into things we can comprehend and use? Author Chip Heath has excelled at teaching others about making ideas stick and here, in Making Numbers Count, he outlines specific principles that reveal how to translate a number into our brain’s language. This book is filled with examples of extreme number makeovers, vivid before-and-after examples that take a dry number and present it in a way that people click in and say “Wow, now I get it!” You will learn principles such as: -SIMPLE PERSPECTIVE CUES: researchers at Microsoft found that adding one simple comparison sentence doubled how accurately users estimated statistics like population and area of countries. -VIVIDNESS: get perspective on the size of a nucleus by imagining a bee in a cathedral, or a pea in a racetrack, which are easier to envision than “1/100,000th of the size of an atom.” -CONVERT TO A PROCESS: capitalize on our intuitive sense of time (5 gigabytes of music storage turns into “2 months of commutes, without repeating a song”). -EMOTIONAL MEASURING STICKS: frame the number in a way that people already care about (“that medical protocol would save twice as many women as curing breast cancer”). Whether you’re interested in global problems like climate change, running a tech firm or a farm, or just explaining how many Cokes you’d have to drink if you burned calories like a hummingbird, this book will help math-lovers and math-haters alike translate the numbers that animate our world—allowing us to bring more data, more naturally, into decisions in our schools, our workplaces, and our society.

Math Exchanges

Math Exchanges PDF Author: Kassia Omohundro Wedekind
Publisher: Stenhouse Publishers
ISBN: 1571108262
Category : Education
Languages : en
Pages : 216

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Book Description
Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?

How to Count

How to Count PDF Author: R.B.J.T. Allenby
Publisher: CRC Press
ISBN: 1420082612
Category : Mathematics
Languages : en
Pages : 440

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Book Description
Emphasizes a Problem Solving Approach A first course in combinatorics Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics. New to the Second Edition This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet’s pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises. Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya’s counting theorem.