Algebraic Thinking Leveled Problem: Addition and Logic--Figure It

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Publisher : Teacher Created Materials
ISBN 13 : 1425885349
Total Pages : 4 pages
Book Rating : 4.4/5 (258 download)

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Book Synopsis Algebraic Thinking Leveled Problem: Addition and Logic--Figure It by : Linda Dacey, Ed.D.

Download or read book Algebraic Thinking Leveled Problem: Addition and Logic--Figure It written by Linda Dacey, Ed.D. and published by Teacher Created Materials. This book was released on 2014-01-01 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differentiate problem solving in your classroom using effective, research-based strategies. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.

Balance Math and More! Level 1

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Publisher :
ISBN 13 : 9781601442765
Total Pages : 48 pages
Book Rating : 4.4/5 (427 download)

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Book Synopsis Balance Math and More! Level 1 by : Robert Femiano

Download or read book Balance Math and More! Level 1 written by Robert Femiano and published by . This book was released on 2012-01-30 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Open Middle Math

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Publisher : Taylor & Francis
ISBN 13 : 1003839886
Total Pages : 193 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Open Middle Math by : Robert Kaplinsky

Download or read book Open Middle Math written by Robert Kaplinsky and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Approaches to Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 9400917325
Total Pages : 342 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Approaches to Algebra by : N. Bednarz

Download or read book Approaches to Algebra written by N. Bednarz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.

Puzzle Baron's Logic Puzzles

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Publisher : National Geographic Books
ISBN 13 : 1615640320
Total Pages : 0 pages
Book Rating : 4.6/5 (156 download)

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Book Synopsis Puzzle Baron's Logic Puzzles by : Puzzle Baron

Download or read book Puzzle Baron's Logic Puzzles written by Puzzle Baron and published by National Geographic Books. This book was released on 2010-08-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Get your brain working with 200 grid-based logic puzzles from the Puzzle Baron! Filled with complex and fun brain teasers that range in difficulty, this book will put your mind into overdrive with hours of brain-challenging fun. Using the given backstory and list of clues, readers use pure logic to deduce the correct answer for each fiendishly tricky puzzle in Puzzle Baron's Logic Puzzles. Bring out your competitive side and check your stats against the average completion time, the record completion time, and the percentage of people who finish the puzzle. Check your work against the answer key and see how logical you really are! Perfect for adults or children, Puzzle Baron's Logic Puzzles is the ultimate challenge for those who love piecing clues and facts together. The brain is a wonderful thing to tease!

Thinking Skills

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Publisher : Cambridge University Press
ISBN 13 : 1107606306
Total Pages : 353 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis Thinking Skills by : John Butterworth

Download or read book Thinking Skills written by John Butterworth and published by Cambridge University Press. This book was released on 2013-04-18 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Skills, second edition, is the only endorsed book offering complete coverage of the Cambridge International AS and A Level syllabus.

Patently Mathematical

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Publisher : Johns Hopkins University Press
ISBN 13 : 1421427052
Total Pages : 296 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Patently Mathematical by : Jeff Suzuki

Download or read book Patently Mathematical written by Jeff Suzuki and published by Johns Hopkins University Press. This book was released on 2018-12-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncovers the surprising ways math shapes our lives—from whom we date to what we learn. How do dating sites match compatible partners? What do cell phones and sea coasts have in common? And why do computer scientists keep ant colonies? Jeff Suzuki answers these questions and more in Patently Mathematical, which explores the mathematics behind some of the key inventions that have changed our world. In recent years, patents based on mathematics have been issued by the thousands—from search engines and image recognition technology to educational software and LEGO designs. Suzuki delves into the details of cutting-edge devices, programs, and products to show how even the simplest mathematical principles can be turned into patentable ideas worth billions of dollars. Readers will discover • whether secure credit cards are really secure • how improved data compression made streaming video services like Netflix a hit • the mathematics behind self-correcting golf balls • why Google is such an effective and popular search engine • how eHarmony and Match.com find the perfect partner for those seeking a mate • and much more! A gifted writer who combines quirky historical anecdotes with relatable, everyday examples, Suzuki makes math interesting for everyone who likes to ponder the world of numerical relationships. Praise for Jeff Suzuki's Constitutional Calculus "Presents an entertaining and insightful approach to the mathematics that underlies the American system of government. The book is neatly organized, breaking down the United States Constitution by article, section, and amendment. Within each piece, Suzuki reviews the mathematical principles that went into the underlying framework."—Mathematical Reviews "A breath of fresh air. . . . A reaffirmation that mathematics should be used more often to make general public policy."—MAA Reviews

Logical Reasoning

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Publisher : Bradley Dowden
ISBN 13 : 9780534176884
Total Pages : 516 pages
Book Rating : 4.1/5 (768 download)

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Book Synopsis Logical Reasoning by : Bradley Harris Dowden

Download or read book Logical Reasoning written by Bradley Harris Dowden and published by Bradley Dowden. This book was released on 1993 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to engage students' interest and promote their writing abilities while teaching them to think critically and creatively. Dowden takes an activist stance on critical thinking, asking students to create and revise arguments rather than simply recognizing and criticizing them. His book emphasizes inductive reasoning and the analysis of individual claims in the beginning, leaving deductive arguments for consideration later in the course.

Creative Problem Solving in School Mathematics

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Publisher :
ISBN 13 : 9780975731611
Total Pages : 281 pages
Book Rating : 4.7/5 (316 download)

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Book Synopsis Creative Problem Solving in School Mathematics by : George Lenchner

Download or read book Creative Problem Solving in School Mathematics written by George Lenchner and published by . This book was released on 2006 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problem-Solving Through Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461254981
Total Pages : 322 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Problem-Solving Through Problems by : Loren C. Larson

Download or read book Problem-Solving Through Problems written by Loren C. Larson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory

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Publisher : Mega Foundation Press
ISBN 13 : 0971916225
Total Pages : 94 pages
Book Rating : 4.9/5 (719 download)

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Book Synopsis The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory by : Christopher Michael Langan

Download or read book The Cognitive-Theoretic Model of the Universe: A New Kind of Reality Theory written by Christopher Michael Langan and published by Mega Foundation Press. This book was released on 2002-06-01 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paperback version of the 2002 paper published in the journal Progress in Information, Complexity, and Design (PCID). ABSTRACT Inasmuch as science is observational or perceptual in nature, the goal of providing a scientific model and mechanism for the evolution of complex systems ultimately requires a supporting theory of reality of which perception itself is the model (or theory-to-universe mapping). Where information is the abstract currency of perception, such a theory must incorporate the theory of information while extending the information concept to incorporate reflexive self-processing in order to achieve an intrinsic (self-contained) description of reality. This extension is associated with a limiting formulation of model theory identifying mental and physical reality, resulting in a reflexively self-generating, self-modeling theory of reality identical to its universe on the syntactic level. By the nature of its derivation, this theory, the Cognitive Theoretic Model of the Universe or CTMU, can be regarded as a supertautological reality-theoretic extension of logic. Uniting the theory of reality with an advanced form of computational language theory, the CTMU describes reality as a Self Configuring Self-Processing Language or SCSPL, a reflexive intrinsic language characterized not only by self-reference and recursive self-definition, but full self-configuration and self-execution (reflexive read-write functionality). SCSPL reality embodies a dual-aspect monism consisting of infocognition, self-transducing information residing in self-recognizing SCSPL elements called syntactic operators. The CTMU identifies itself with the structure of these operators and thus with the distributive syntax of its self-modeling SCSPL universe, including the reflexive grammar by which the universe refines itself from unbound telesis or UBT, a primordial realm of infocognitive potential free of informational constraint. Under the guidance of a limiting (intrinsic) form of anthropic principle called the Telic Principle, SCSPL evolves by telic recursion, jointly configuring syntax and state while maximizing a generalized self-selection parameter and adjusting on the fly to freely-changing internal conditions. SCSPL relates space, time and object by means of conspansive duality and conspansion, an SCSPL-grammatical process featuring an alternation between dual phases of existence associated with design and actualization and related to the familiar wave-particle duality of quantum mechanics. By distributing the design phase of reality over the actualization phase, conspansive spacetime also provides a distributed mechanism for Intelligent Design, adjoining to the restrictive principle of natural selection a basic means of generating information and complexity. Addressing physical evolution on not only the biological but cosmic level, the CTMU addresses the most evident deficiencies and paradoxes associated with conventional discrete and continuum models of reality, including temporal directionality and accelerating cosmic expansion, while preserving virtually all of the major benefits of current scientific and mathematical paradigms.

The Mathematics of Chip-Firing

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Publisher : CRC Press
ISBN 13 : 135180099X
Total Pages : 308 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis The Mathematics of Chip-Firing by : Caroline J. Klivans

Download or read book The Mathematics of Chip-Firing written by Caroline J. Klivans and published by CRC Press. This book was released on 2018-11-15 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics.

A Mathematical Introduction to Robotic Manipulation

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Publisher : CRC Press
ISBN 13 : 1351469789
Total Pages : 488 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis A Mathematical Introduction to Robotic Manipulation by : Richard M. Murray

Download or read book A Mathematical Introduction to Robotic Manipulation written by Richard M. Murray and published by CRC Press. This book was released on 2017-12-14 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motion and allows a large class of robotic manipulation problems to be analyzed within a unified framework. The foundation of the book is a derivation of robot kinematics using the product of the exponentials formula. The authors explore the kinematics of open-chain manipulators and multifingered robot hands, present an analysis of the dynamics and control of robot systems, discuss the specification and control of internal forces and internal motions, and address the implications of the nonholonomic nature of rolling contact are addressed, as well. The wealth of information, numerous examples, and exercises make A Mathematical Introduction to Robotic Manipulation valuable as both a reference for robotics researchers and a text for students in advanced robotics courses.

SRA Real Math

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Publisher :
ISBN 13 : 9780076124268
Total Pages : 0 pages
Book Rating : 4.1/5 (242 download)

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Book Synopsis SRA Real Math by : Sharon Griffin

Download or read book SRA Real Math written by Sharon Griffin and published by . This book was released on 2007-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A standards-based, comprehensive math intervention curriculum for the state of California. Designed for students identified with math deficiencies who have not responded to reteaching efforts or who have a sustained lack of adquate progress in mathematics. This program provides intensive focus on developing foundational understanding and skills. It provides explicit, scientifically based instruction emphasizing the five critical elements of mathematics proficiency: understanding, computing, applying reasoning/problem solving , and engagement.

Mathematics for Game Developers

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Publisher : Course Technology
ISBN 13 :
Total Pages : 658 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics for Game Developers by : Christopher Tremblay

Download or read book Mathematics for Game Developers written by Christopher Tremblay and published by Course Technology. This book was released on 2004 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author introduces the major branches of mathematics that are essential for game development and demonstrates the applications of these concepts to game programming.

Principles to Actions

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Publisher : National Council of Teachers of Mathematics, Incorporated
ISBN 13 : 9780873537742
Total Pages : 139 pages
Book Rating : 4.5/5 (377 download)

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Book Synopsis Principles to Actions by : National Council of Teachers of Mathematics

Download or read book Principles to Actions written by National Council of Teachers of Mathematics and published by National Council of Teachers of Mathematics, Incorporated. This book was released on 2014-02 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Flight Stability and Automatic Control

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Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Flight Stability and Automatic Control by : Robert C. Nelson

Download or read book Flight Stability and Automatic Control written by Robert C. Nelson and published by . This book was released on 1998 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of this this flight stability and controls guide features an unintimidating math level, full coverage of terminology, and expanded discussions of classical to modern control theory and autopilot designs. Extensive examples, problems, and historical notes, make this concise book a vital addition to the engineer's library.