Challenging Math Problems

Challenging Math Problems PDF Author: Terry Stickels
Publisher: Courier Dover Publications
ISBN: 0486795535
Category : Mathematics
Languages : en
Pages : 116

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Book Description
This best-of compilation features 101 of the most entertaining and challenging math puzzles ever published. No advanced knowledge of mathematics is necessary, just solid thinking and puzzle-solving skills. Includes complete solutions.

Challenging Math Problems

Challenging Math Problems PDF Author: Terry Stickels
Publisher: Courier Dover Publications
ISBN: 0486795535
Category : Mathematics
Languages : en
Pages : 116

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Book Description
This best-of compilation features 101 of the most entertaining and challenging math puzzles ever published. No advanced knowledge of mathematics is necessary, just solid thinking and puzzle-solving skills. Includes complete solutions.

An Introduction to Classical Real Analysis

An Introduction to Classical Real Analysis PDF Author: Karl R. Stromberg
Publisher: American Mathematical Soc.
ISBN: 1470425440
Category : Mathematical analysis
Languages : en
Pages : 575

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Book Description
This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has scrupulously avoided any presumption at all that the reader has any knowledge of mathematical concepts until they are formally presented in the book. One significant way in which this book differs from other texts at this level is that the integral which is first mentioned is the Lebesgue integral on the real line. There are at least three good reasons for doing this. First, this approach is no more difficult to understand than is the traditional theory of the Riemann integral. Second, the readers will profit from acquiring a thorough understanding of Lebesgue integration on Euclidean spaces before they enter into a study of abstract measure theory. Third, this is the integral that is most useful to current applied mathematicians and theoretical scientists, and is essential for any serious work with trigonometric series. The exercise sets are a particularly attractive feature of this book. A great many of the exercises are projects of many parts which, when completed in the order given, lead the student by easy stages to important and interesting results. Many of the exercises are supplied with copious hints. This new printing contains a large number of corrections and a short author biography as well as a list of selected publications of the author. This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has scrupulously avoided any presumption at all that the reader has any knowledge of mathematical concepts until they are formally presented in the book. - See more at: http://bookstore.ams.org/CHEL-376-H/#sthash.wHQ1vpdk.dpuf This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has scrupulously avoided any presumption at all that the reader has any knowledge of mathematical concepts until they are formally presented in the book. One significant way in which this book differs from other texts at this level is that the integral which is first mentioned is the Lebesgue integral on the real line. There are at least three good reasons for doing this. First, this approach is no more difficult to understand than is the traditional theory of the Riemann integral. Second, the readers will profit from acquiring a thorough understanding of Lebesgue integration on Euclidean spaces before they enter into a study of abstract measure theory. Third, this is the integral that is most useful to current applied mathematicians and theoretical scientists, and is essential for any serious work with trigonometric series. The exercise sets are a particularly attractive feature of this book. A great many of the exercises are projects of many parts which, when completed in the order given, lead the student by easy stages to important and interesting results. Many of the exercises are supplied with copious hints. This new printing contains a large number of corrections and a short author biography as well as a list of selected publications of the author. This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has scrupulously avoided any presumption at all that the reader has any knowledge of mathematical concepts until they are formally presented in the book. - See more at: http://bookstore.ams.org/CHEL-376-H/#sthash.wHQ1vpdk.dpuf

Singapore Math Challenge Word Problems, Grades 3 - 5

Singapore Math Challenge Word Problems, Grades 3 - 5 PDF Author:
Publisher: Carson-Dellosa Publishing
ISBN: 1483855678
Category : Juvenile Nonfiction
Languages : en
Pages : 352

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Book Description
GRADE 3–5/AGES 8–9: This book helps children find a variety of intriguing problems and problem-solving methods. Using the tips offered, solving these problems will help students develop skill as a mathematical thinker. INCLUDES: An introduction explaining the Singapore Math method, common word problems found on assessments, and an answer key with worked out solutions that help students see how to work the problems. WHY SINGAPORE MATH: Many students struggle with word problems. The Singapore Math curriculum aims to help students develop necessary concepts and skills for everyday life. COMPREHENSIVE: Key concepts are introduced and built-on to reinforce mathematical ideas and thinking. Features one problem per page, so as not to be overwhelming to young learners. HOMESCHOOL FRIENDLY: Perfect as a supplement to classroom work or as a homeschool resource, this series is perfect for students who are ready to apply what they know to real-world scenarios.

Challenging Problems in Algebra

Challenging Problems in Algebra PDF Author: Alfred S. Posamentier
Publisher: Courier Corporation
ISBN: 0486131548
Category : Mathematics
Languages : en
Pages : 288

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Book Description
Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

Open Middle Math

Open Middle Math PDF Author: Robert Kaplinsky
Publisher: Taylor & Francis
ISBN: 1003839886
Category : Education
Languages : en
Pages : 193

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Book Description
This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

Singapore Math Challenge, Grades 2 - 5

Singapore Math Challenge, Grades 2 - 5 PDF Author: Frank Schaffer Publications
Publisher: Carson-Dellosa Publishing
ISBN: 1623990726
Category : Juvenile Nonfiction
Languages : en
Pages : 354

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Book Description
Get ready to take the Math Challenge! Singapore Math Challenge will provide second grade students with skill-building practice based on the leading math program in the world, Singapore Math! Common Core Standards accelerate math expectations for all students, creating a need for challenging supplementary math practice. Singapore Math Challenge is the ideal solution, with problems, puzzles, and brainteasers that strengthen mathematical thinking. Step-by-step strategies are clearly explained for solving problems at varied levels of difficulty. A complete, worked solution is also provided for each problem. -- Singapore Math Challenge includes the tools and practice needed to provide a strong mathematical foundation and ongoing success for your students. The Common Core State Standards cite Singapore math standards as worldwide benchmarks for excellence in mathematics.

How to Solve it

How to Solve it PDF Author: George Pólya
Publisher: Princeton University Press
ISBN: 069116407X
Category : Mathematics
Languages : en
Pages : 288

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Book Description
"Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.

Challenging Mathematical Problems with Elementary Solutions

Challenging Mathematical Problems with Elementary Solutions PDF Author: ?. ? ?????
Publisher: Courier Corporation
ISBN: 0486655377
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Volume II of a two-part series, this book features 74 problems from various branches of mathematics. Topics include points and lines, topology, convex polygons, theory of primes, and other subjects. Complete solutions.

Five Hundred Mathematical Challenges

Five Hundred Mathematical Challenges PDF Author: Edward J. Barbeau
Publisher: American Mathematical Soc.
ISBN: 1614445079
Category : Mathematics
Languages : en
Pages : 227

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Book Description
This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.

Math Challenges for the Critical Thinker, Grades 5 - 8

Math Challenges for the Critical Thinker, Grades 5 - 8 PDF Author:
Publisher: Mark Twain Media
ISBN: 1622230361
Category : Juvenile Nonfiction
Languages : en
Pages : 48

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Book Description
Challenge students to think outside of the box! Supplement curriculum with creative math that will enhance students' abilities to problem solve, learn and apply strategies, and think critically. Answer keys are included.