Counting
Counting

Author: Khee Meng Koh

Publisher: World Scientific

Published: 2002

Total Pages: 126

ISBN-13: 9789812380647

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This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills.

Counting (2nd Edition)
Counting (2nd Edition)

Author: Khee-meng Koh

Publisher: World Scientific Publishing Company

Published: 2013-01-25

Total Pages: 224

ISBN-13: 9814401935

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This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills.New chapters originally from a supplementary book have been added in this edition to substantially increase the coverage of counting techniques. The new chapters include the Principle of Inclusion and Exclusion, the Pigeonhole Principle, Recurrence Relations, the Stirling Numbers and the Catalan Numbers. A number of new problems have also been added to this edition.

How to Count
How to Count

Author: R.B.J.T. Allenby

Publisher: CRC Press

Published: 2011-07-01

Total Pages: 440

ISBN-13: 1420082612

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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.

Choral Counting & Counting Collections
Choral Counting & Counting Collections

Author: Megan L Franke

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 303

ISBN-13: 1003834043

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In this influential book from collaborative authors Megan L Franke, Elham Kazemi, and Angela Chan Turrou, Choral Counting & Counting Collections: Transforming the PreK – 5 Math Classroom, explores ways in which two routines -- Choral Counting and Counting Collections -- can transform your elementary math classroom, your students' math understanding, and your partnerships with families. It paints a vision for how deeply and creatively children can engage with ideas of number and operations and mathematical reasoning through counting. Created with real educators' needs in mind and organized by grade-level band (preschool, K-2, and 3-5), inside this book you'll find: Easy-to-use planning templates to guide teachers in implementing these powerful routines A variety of student recording sheets for Counting Collections that allow teachers to enact different variations of this activity across the grades Guides for selecting Choral Counts that support grade-level standards and mathematical goals Goal charts that provide specific guidance on teacher language and moves Advice on supporting both students' mathematical and social goals through Choral Counting and Counting Collections The authors have collected the wisdom of math teachers and researchers across the country who explore activities that are both playful and intentional, simple and sophisticated. If you're looking for ways to bring new energy into your math instruction, Choral Counting & Counting Collections: Transforming the PreK - 5 Math Classroom is the perfect book for you and your students.

Counting: The Art of Enumerative Combinatorics
Counting: The Art of Enumerative Combinatorics

Author: George E. Martin

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 263

ISBN-13: 1475748787

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This book provides an introduction to discrete mathematics. At the end of the book the reader should be able to answer counting questions such as: How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? The book can be used as a textbook for a semester course at the sophomore level. The first five chapters can also serve as a basis for a graduate course for in-service teachers.

The Coin Counting Book
The Coin Counting Book

Author: Rozanne Lanczak Williams

Publisher: Charlesbridge

Published: 2010-07-23

Total Pages: 31

ISBN-13: 160734176X

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Twenty-five pennies, four dimes, two nickels, and one quarter… hmm… A pocketful of coins! Who can make heads or tails of it? YOU can with THE COIN COUNTING BOOK. Change just adds up with this bankable book illustrated with real money. Counting, adding, and identifying American currency from one penny to one dollar is exciting and easy. When you have counted all your money, you can decide to save it or spend it.

Counting with Numbers
Counting with Numbers

Author: Martha Rohrer

Publisher:

Published: 1989-01-01

Total Pages: 64

ISBN-13: 9780739900130

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A preschool activity book that teaches the child to identify, write, and know the meanings of the numbers 1-10. It teaches number sequence and simple math-related words, such as more, less, empty, full, first, and last.

The Baseball Counting Book
The Baseball Counting Book

Author: Barbara Barbieri McGrath

Publisher: Charlesbridge Publishing

Published: 1999-02-01

Total Pages: 35

ISBN-13: 0881063339

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Step up to the plate with this counting book about America's favorite pastime. THE BASEBALL COUNTING BOOK is spring training for little sluggers. The count is zero to zero when the ump calls, "Play ball!" Nine innings later we've counted balls, strikes, players, fans, and more, all the way to twenty. No one strikes out with these fun rhymes. Little leaguers will find themselves counting their way through practice and pointing out all the new things they've learned about this great game when they watch the pro's on TV or at the parks. Early readers will hit a home run with this charming counting book.

Counting Money and Making Change
Counting Money and Making Change

Author: Nancy Lobb

Publisher: Walch Publishing

Published: 2000

Total Pages: 70

ISBN-13: 9780825139444

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This book will help students recognize coins and common bills. It includes activities in counting amounts in different combinations and making change. Also, supplies teacher materials that include reinforcement activities, a pretest, and a posttest.

Counting: Solutions Manual (2nd Edition)
Counting: Solutions Manual (2nd Edition)

Author: Khee-meng Koh

Publisher: World Scientific Publishing Company

Published: 2013-03-05

Total Pages: 224

ISBN-13: 981440196X

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This book is the essential companion to Counting (2nd Edition) (World Scientific, 2013), an introduction to combinatorics for secondary to undergraduate students. The book gives solutions to the exercises in Counting (2nd Edition). There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest.The rigorous and clear solutions will aid the reader in further understanding the concepts and applications in Counting (2nd Edition). An introductory section on problem solving as described by George Pólya will be useful in helping the lay person understand how mathematicians think and solve problems.