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Author: National Research Council Publisher: National Academies Press ISBN: 0309041902 Category : Mathematics Languages : en Pages : 136
Book Description
A Challenge of Numbers describes the circumstances and issues centered on people in the mathematical sciences, principally students and teachers at U.S. colleges and universities. A healthy flow of mathematical talent is crucial not only to the future of U.S. mathematics but also as a keystone supporting a technological workforce. Trends in the mathematical sciences' most valuable resourceâ€"its peopleâ€"are presented narratively, graphically, and numerically as an information base for policymakers and for those interested in the people in this not very visible, but critical profession.
Author: National Research Council Publisher: National Academies Press ISBN: 0309041902 Category : Mathematics Languages : en Pages : 136
Book Description
A Challenge of Numbers describes the circumstances and issues centered on people in the mathematical sciences, principally students and teachers at U.S. colleges and universities. A healthy flow of mathematical talent is crucial not only to the future of U.S. mathematics but also as a keystone supporting a technological workforce. Trends in the mathematical sciences' most valuable resourceâ€"its peopleâ€"are presented narratively, graphically, and numerically as an information base for policymakers and for those interested in the people in this not very visible, but critical profession.
Author: Frank Schaffer Publications Publisher: Carson-Dellosa Publishing ISBN: 1623990726 Category : Juvenile Nonfiction Languages : en Pages : 354
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.
Author: Jeffrey C. Lagarias Publisher: American Mathematical Society ISBN: 1470472899 Category : Mathematics Languages : en Pages : 360
Book Description
The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then “multiply by three and add one”, while if it is even then “divide by two”. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000.
Author: V Krishnamurthy Publisher: New Age International ISBN: 9788122409802 Category : Mathematics Languages : en Pages : 708
Book Description
Challenge And Thrill Of Pre-College Mathematics Is An Unusual Enrichment Text For Mathematics Of Classes 9, 10, 11 And 12 For Use By Students And Teachers Who Are Not Content With The Average Level That Routine Text Dare Not Transcend In View Of Their Mass Clientele. It Covers Geometry, Algebra And Trigonometry Plus A Little Of Combinatorics. Number Theory And Probability. It Is Written Specifically For The Top Half Whose Ambition Is To Excel And Rise To The Peak Without Finding The Journey A Forced Uphill Task.The Undercurrent Of The Book Is To Motivate The Student To Enjoy The Pleasures Of A Mathematical Pursuit And Of Problem Solving. More Than 300 Worked Out Problems (Several Of Them From National And International Olympiads) Share With The Student The Strategy, The Excitement, Motivation, Modeling, Manipulation, Abstraction, Notation And Ingenuity That Together Make Mathematics. This Would Be The Starting Point For The Student, Of A Life-Long Friendship With A Sound Mathematical Way Of Thinking.There Are Two Reasons Why The Book Should Be In The Hands Of Every School Or College Student, (Whether He Belongs To A Mathematics Stream Or Not) One, If He Likes Mathematics And, Two, If He Does Not Like Mathematics- The Former, So That The Cramped Robot-Type Treatment In The Classroom Does Not Make Him Into The Latter; And The Latter So That By The Time He Is Halfway Through The Book, He Will Invite Himself Into The Former.
Author: John Byl Publisher: Banner of Truth ISBN: 9780851518879 Category : Religion Languages : en Pages : 317
Book Description
Since the Beginning of time man has challenged God's supremacy, striving to dethrone God and reinterpret the universe according to his own standards and purposes. In response God, who is determined to destroy the wisdom of the worldly wise and to unmask it for the foolishness that it really is, issues his own challenge to sinful man. Arrogantly, modern scientific man takes up that divine challenge, arming himself with scientific knowledge and technological power. Indeed, man has convinced himself that this rational wisdom has made foolish the wisdom of Scripture, with its tall tales of a personal God, of life after death, and of heaven and hell. 'Such notions', Einstein declared, 'are for the fears or absurd egoism of feeble souls.' John byl argues that the Christian worldview provides the only foundation for logic, mathematics, science and morality. The Divine Challenge aims to substantiate this bold claim. Byl shows the failure of today's predominant philosophies to provide a coherent worldview that can yield a plausible account of the various aspects of life as we experience it.
Author: Robert Kaplinsky Publisher: Taylor & Francis ISBN: 1003839886 Category : Education Languages : en Pages : 193
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.
Author: Edward Zaccaro Publisher: ISBN: 9780967991559 Category : Education Languages : en Pages : 0
Book Description
This book makes independent learning easy for both the student and the teacher (even those whose math skills are a little rusty). The fun activities in this book teach difficult concepts in areas such as statistics, probability, algebra, physics, trigonometry, astronomy, and calculus. Grades 3-9
Author: The UK Mathematics Trust Publisher: HarperCollins ISBN: 0008316414 Category : Games & Activities Languages : en Pages : 300
Book Description
’Be warned: cracking puzzles releases a very addictive drug.’ – Marcus du Sautoy Have you ever wanted to be a puzzle pro or logical luminary? Well, look no further!
Author: National Research Council
Author: National Research Council
Author: Frank Schaffer Publications
Author: Bill McCandliss
Author: Edward Zaccaro
Author: Jeffrey C. Lagarias
Author: V Krishnamurthy
Author: John Byl
Author: Robert Kaplinsky
Author: Edward Zaccaro
Author: The UK Mathematics Trust