Tools And Mathematics

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Tools and Mathematics

John Monaghan,Luc Trouche,Jonathan M. Borwein
Tools and Mathematics Book PDF

Author : John Monaghan,Luc Trouche,Jonathan M. Borwein
Publisher : Springer
Page : 483 pages
File Size : 54,9 Mb
Release : 2016-04-18
Category : Education
ISBN : 9783319023960

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Tools and Mathematics by John Monaghan,Luc Trouche,Jonathan M. Borwein Pdf

This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games.

Math Tools

Georg Glaeser
Math Tools Book PDF

Author : Georg Glaeser
Publisher : Springer
Page : 562 pages
File Size : 55,7 Mb
Release : 2017-09-13
Category : Mathematics
ISBN : 9783319669601

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Math Tools by Georg Glaeser Pdf

In this book, topics such as algebra, trigonometry, calculus and statistics are brought to life through over 500 applications ranging from biology, physics and chemistry to astronomy, geography and music. With over 600 illustrations emphasizing the beauty of mathematics, Math Tools complements more theoretical textbooks on the market, bringing the subject closer to the reader and providing a useful reference to students. By highlighting the ubiquity of mathematics in practical fields, the book will appeal not only to students and teachers, but to anyone with a keen interest in mathematics and its applications.

Uses of Technology in Primary and Secondary Mathematics Education

Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale
Uses of Technology in Primary and Secondary Mathematics Education Book PDF

Author : Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale
Publisher : Springer
Page : 440 pages
File Size : 46,6 Mb
Release : 2018-05-14
Category : Education
ISBN : 9783319765754

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Uses of Technology in Primary and Secondary Mathematics Education by Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale Pdf

This book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.

Symbolizing, Modeling and Tool Use in Mathematics Education

K.P Gravemeijer,R. Lehrer,H.J. van Oers,Lieven Verschaffel
Symbolizing Modeling and Tool Use in Mathematics Education Book PDF

Author : K.P Gravemeijer,R. Lehrer,H.J. van Oers,Lieven Verschaffel
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 43,8 Mb
Release : 2013-03-09
Category : Education
ISBN : 9789401731942

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Symbolizing, Modeling and Tool Use in Mathematics Education by K.P Gravemeijer,R. Lehrer,H.J. van Oers,Lieven Verschaffel Pdf

This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.

Math Tools, Grades 3-12

Harvey F. Silver,John R. Brunsting,Terry Walsh
Math Tools Grades 3 12 Book PDF

Author : Harvey F. Silver,John R. Brunsting,Terry Walsh
Publisher : Corwin Press
Page : 281 pages
File Size : 40,9 Mb
Release : 2007-12-13
Category : Education
ISBN : 9781412957823

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Math Tools, Grades 3-12 by Harvey F. Silver,John R. Brunsting,Terry Walsh Pdf

Math Tools, Grades 3-12 presents a broad collection of mathematics instruction tools that promote active, in-depth learning and help ensure that all students meet high standards. The authors, experts with years of experience in mathematics education, combine the research on learning styles with 64 classroom-tested tools, and show teachers how to use them to differentiate instruction and meet the needs of all students. Organized around four mathematical learning styles/mastery, understanding, self-expressive, and interpersonal - this resource also covers lesson design and assessment using the math tools.

Tools of the Trade

Paul Sally
Tools of the Trade Book PDF

Author : Paul Sally
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 46,7 Mb
Release : 2008
Category : Mathematics
ISBN : 9780821846346

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Tools of the Trade by Paul Sally Pdf

"This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis and proof that are required to do mathematics." "Along with the standard material such as linear algebra, construction of the real numbers via Cauchy sequences, metric spaces and complete metric spaces, there are three projects at the end of each chapter that form an integral part of the text. These projects include a detailed discussion of topics such as group theory, convergence of infinite series, decimal expansions of real numbers, point set topology and topological groups. They are carefully designed to guide the student through the subject matter. Together with numerous exercises included in the book, these projects may be used as part of the regular classroom presentation, as self-study projects for students, or for Inquiry Based Learning activities presented by the students."--BOOK JACKET.

Symbolizing and Communicating in Mathematics Classrooms

Paul Cobb,Erna Yackel,Kay McClain
Symbolizing and Communicating in Mathematics Classrooms Book PDF

Author : Paul Cobb,Erna Yackel,Kay McClain
Publisher : Routledge
Page : 439 pages
File Size : 42,9 Mb
Release : 2012-11-12
Category : Education
ISBN : 9781135677824

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Symbolizing and Communicating in Mathematics Classrooms by Paul Cobb,Erna Yackel,Kay McClain Pdf

This volume grew out of a symposium on discourse, tools, and instructional design at Vanderbilt University in 1995 that brought together a small international group to grapple with issues of communicating, symbolizing, modeling, and mathematizing, particularly as these issues relate to learning in the classroom. The participants invited to develop chapters for this book--all internationally recognized scholars in their respective fields--were selected to represent a wide range of theoretical perspectives including mathematics education, cognitive science, sociocultural theory, and discourse theory. The work is distinguished by the caliber of the contributors, the significance of the topics addressed in the current era of reform in mathematics education, and the diversity of perspectives taken to a common set of themes and issues. The book is intended for those who are seeking to expand their understanding of the complexity of learning in order to enhance the learning experiences students have in schools, primarily researchers, instructional designers, and graduate students in mathematics education, as well as those in other fields including science education, instructional design in general, discourse theory, and semiotics.

Mathematics as a Tool

Johannes Lenhard,Martin Carrier
Mathematics as a Tool Book PDF

Author : Johannes Lenhard,Martin Carrier
Publisher : Springer
Page : 285 pages
File Size : 43,5 Mb
Release : 2017-04-04
Category : Science
ISBN : 9783319544694

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Mathematics as a Tool by Johannes Lenhard,Martin Carrier Pdf

This book puts forward a new role for mathematics in the natural sciences. In the traditional understanding, a strong viewpoint is advocated, on the one hand, according to which mathematics is used for truthfully expressing laws of nature and thus for rendering the rational structure of the world. In a weaker understanding, many deny that these fundamental laws are of an essentially mathematical character, and suggest that mathematics is merely a convenient tool for systematizing observational knowledge. The position developed in this volume combines features of both the strong and the weak viewpoint. In accordance with the former, mathematics is assigned an active and even shaping role in the sciences, but at the same time, employing mathematics as a tool is taken to be independent from the possible mathematical structure of the objects under consideration. Hence the tool perspective is contextual rather than ontological. Furthermore, tool-use has to respect conditions like suitability, efficacy, optimality, and others. There is a spectrum of means that will normally differ in how well they serve particular purposes. The tool perspective underlines the inevitably provisional validity of mathematics: any tool can be adjusted, improved, or lose its adequacy upon changing practical conditions.

Tools of American Mathematics Teaching, 1800–2000

Peggy Aldrich Kidwell,Amy Ackerberg-Hastings,David Lindsay Roberts
Tools of American Mathematics Teaching 1800 2000 Book PDF

Author : Peggy Aldrich Kidwell,Amy Ackerberg-Hastings,David Lindsay Roberts
Publisher : JHU Press
Page : 437 pages
File Size : 45,5 Mb
Release : 2008-08-11
Category : Education
ISBN : 9780801888144

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Tools of American Mathematics Teaching, 1800–2000 by Peggy Aldrich Kidwell,Amy Ackerberg-Hastings,David Lindsay Roberts Pdf

From the blackboard to the graphing calculator, the tools developed to teach mathematics in America have a rich history shaped by educational reform, technological innovation, and spirited entrepreneurship. In Tools of American Mathematics Teaching, 1800–2000, Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, and David Lindsay Roberts present the first systematic historical study of the objects used in the American mathematics classroom. They discuss broad tools of presentation and pedagogy (not only blackboards and textbooks, but early twentieth-century standardized tests, teaching machines, and the overhead projector), tools for calculation, and tools for representation and measurement. Engaging and accessible, this volume tells the stories of how specific objects such as protractors, geometric models, slide rules, electronic calculators, and computers came to be used in classrooms, and how some disappeared.

Math Fact Fluency

Jennifer Bay-Williams,Gina Kling
Math Fact Fluency Book PDF

Author : Jennifer Bay-Williams,Gina Kling
Publisher : ASCD
Page : 206 pages
File Size : 42,6 Mb
Release : 2019-01-14
Category : Education
ISBN : 9781416627227

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Math Fact Fluency by Jennifer Bay-Williams,Gina Kling Pdf

This approach to teaching basic math facts, grounded in years of research, will transform students' learning of basic facts and help them become more confident, adept, and successful at math. Mastering the basic facts for addition, subtraction, multiplication, and division is an essential goal for all students. Most educators also agree that success at higher levels of math hinges on this fundamental skill. But what's the best way to get there? Are flash cards, drills, and timed tests the answer? If so, then why do students go into the upper elementary grades (and beyond) still counting on their fingers or experiencing math anxiety? What does research say about teaching basic math facts so they will stick? In Math Fact Fluency, experts Jennifer Bay-Williams and Gina Kling provide the answers to these questions—and so much more. This book offers everything a teacher needs to teach, assess, and communicate with parents about basic math fact instruction, including The five fundamentals of fact fluency, which provide a research-based framework for effective instruction in the basic facts. Strategies students can use to find facts that are not yet committed to memory. More than 40 easy-to-make, easy-to-use games that provide engaging fact practice. More than 20 assessment tools that provide useful data on fact fluency and mastery. Suggestions and strategies for collaborating with families to help their children master the basic math facts. Math Fact Fluency is an indispensable guide for any educator who needs to teach basic math facts.

Math Tools, Grades 3–12

Harvey F. Silver,John R. Brunsting,Terry Walsh,Edward J. Thomas
Math Tools Grades 3 12 Book PDF

Author : Harvey F. Silver,John R. Brunsting,Terry Walsh,Edward J. Thomas
Publisher : Corwin Press
Page : 272 pages
File Size : 53,6 Mb
Release : 2012-08-29
Category : Education
ISBN : 9781452284408

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Math Tools, Grades 3–12 by Harvey F. Silver,John R. Brunsting,Terry Walsh,Edward J. Thomas Pdf

Teach to the Common Core, differentiate instruction, and keep students engaged—all at the same time! With new Common Core–aligned tools and strategies, this second edition of a bestseller is an all-in-one math classroom management resource. Covering everything from lesson design to math-specific learning styles, the book's 60+ tools will enable you to: Work in smarter, more efficient ways with all of your students, no matter the class size or make up Create standards-based lesson plans, tests, and formative assessments Reach every learner regardless of understanding level or learning style Integrate technology into class time for more engaging math lessons

A Student's Guide to the Study, Practice, and Tools of Modern Mathematics

Donald Bindner,Martin Erickson
A Student s Guide to the Study Practice and Tools of Modern Mathematics Book PDF

Author : Donald Bindner,Martin Erickson
Publisher : CRC Press
Page : 269 pages
File Size : 45,9 Mb
Release : 2010-11-29
Category : Mathematics
ISBN : 9781439846070

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A Student's Guide to the Study, Practice, and Tools of Modern Mathematics by Donald Bindner,Martin Erickson Pdf

A Student's Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica and Maple to MATLAB and R. Along with a color insert, the text include

Mathematics and Tools for Financial Engineering

Petros A. Ioannou
Mathematics and Tools for Financial Engineering Book PDF

Author : Petros A. Ioannou
Publisher : SIAM
Page : 294 pages
File Size : 41,9 Mb
Release : 2021-09-07
Category : Mathematics
ISBN : 9781611976762

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Mathematics and Tools for Financial Engineering by Petros A. Ioannou Pdf

This book presents an overview of fundamental concepts in mathematics and how they are applied to basic financial engineering problems, with the goal of teaching students to use mathematics and engineering tools to understand and solve financial problems. Part I covers mathematical preliminaries (set theory, linear algebra, sequences and series, real functions and analysis, numerical approximations and computations, basic optimization theory, and stochastic processes), and Part II addresses financial topics ranging from low- to high-risk investments (interest rates and value of money, bonds, dynamic asset modeling, portfolio theory and optimization, option pricing, and the concept of hedging). Based on lectures for a master’s program in financial engineering given by the author over 12 years at the University of Southern California, Mathematics and Tools for Financial Engineering contains numerous examples and problems, establishes a strong general mathematics background and engineering modeling techniques in a pedagogical fashion, and covers numerical techniques with applications to solving financial problems using different software tools. This textbook is intended for graduate and advanced undergraduate students in finance or financial engineering and is useful to readers with no prior knowledge in finance who want to understand some basic mathematical tools and theories associated with financial engineering. It is also appropriate as an overview of many mathematical concepts and engineering tools relevant to courses on numerical analysis, modeling and data science, numerical optimization, and approximation theory.

Mathematical Tools for One-Dimensional Dynamics

Edson de Faria,Welington de Melo
Mathematical Tools for One Dimensional Dynamics Book PDF

Author : Edson de Faria,Welington de Melo
Publisher : Cambridge University Press
Page : 192 pages
File Size : 50,8 Mb
Release : 2008-10-02
Category : Mathematics
ISBN : 9781139474849

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Mathematical Tools for One-Dimensional Dynamics by Edson de Faria,Welington de Melo Pdf

Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmüller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics.

Transforming Primary Mathematics

Mike Askew
Transforming Primary Mathematics Book PDF

Author : Mike Askew
Publisher : Routledge
Page : 186 pages
File Size : 46,8 Mb
Release : 2015-11-19
Category : Education
ISBN : 9781317357568

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Transforming Primary Mathematics by Mike Askew Pdf

Fully updated to reflect the new curriculum, the revised edition of Transforming Primary Mathematics sets out key theories and cutting-edge research in the field to enable teachers to take a fresh look at how they teach mathematics. The book encourages teachers to reflect on their own beliefs and values about mathematics, and asks them to question whether their current methods meet the needs of all learners, and the challenge of having high expectations for all. It provides clear, practical approaches to help implement fundamental change in classroom environments, and offers motivational teaching styles to ensure meaningful mathematics learning. Chapters take an inspiring, sometimes controversial, and often unconventional look at the subject of mathematics, by: endorsing the use of a ‘new mathematics’ – one based on problem solving, modelling, inquiry and reasoning, not on abstract rules, memorising, and regurgitation arguing that there is more to maths teaching than ‘death by a thousand worksheets’ challenging norms, such as the practice of sorting children into sets based on their perceived mathematical ability asking whether mathematical ability is innate or a result of social practices examining what a ‘mastery’ approach might entail highlighting the role of variation in supporting learning advocating an environment where teachers are encouraged to take risks. Transforming Primary Mathematics is for all primary school teachers who want to make mathematics welcoming, engaging, inclusive and successful.