Download or read book Tools and Mathematics written by John Monaghan and published by Springer. This book was released on 2016-04-18 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Math Tools written by Georg Glaeser and published by Springer. This book was released on 2017-09-13 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Uses of Technology in Primary and Secondary Mathematics Education written by Lynda Ball and published by Springer. This book was released on 2018-05-14 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Math Tools Grades 3 12 written by Harvey F. Silver and published by Corwin Press. This book was released on 2007-12-13 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Tools of the Trade written by Paul Sally and published by American Mathematical Soc.. This book was released on 2008 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Symbolizing Modeling and Tool Use in Mathematics Education written by K.P Gravemeijer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematics and Tools for Financial Engineering written by Petros A. Ioannou and published by SIAM. This book was released on 2021-09-07 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Tools of American Mathematics Teaching 1800 2000 written by Peggy Aldrich Kidwell and published by JHU Press. This book was released on 2008-08-11 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Math Tools Grades 3 12 written by Harvey F. Silver and published by Corwin Press. This book was released on 2012-08-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book A Student s Guide to the Study Practice and Tools of Modern Mathematics written by Donald Bindner and published by CRC Press. This book was released on 2010-11-29 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Mathematics as a Tool written by Johannes Lenhard and published by Springer. This book was released on 2017-04-04 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Symbolizing and Communicating in Mathematics Classrooms written by Paul Cobb and published by Routledge. This book was released on 2012-11-12 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Math Fact Fluency written by Jennifer Bay-Williams and published by ASCD. This book was released on 2019-01-14 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Teaching and Learning Mathematics Online written by James P. Howard, II and published by CRC Press. This book was released on 2020-05-10 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses
Download or read book Everything You Need for Mathematics Coaching written by Maggie B. McGatha and published by Corwin Press. This book was released on 2018-04-02 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plan, focus, and lead: Your toolkit for inspiring math teachers What’s your go-to resource for guiding teachers to grow mathematics proficiency in their classrooms? This comprehensive toolkit for busy math coaches positions student learning as the focus of all work, and connects the Eight Mathematical Practices for students with NCTM’s Eight Effective Teaching Practices to deliver coaching strategies that work. Use the coaching cycle—plan, gather data, reflect—to build trust and rapport with teachers. Navigate coaching conversations. Plan, focus, and facilitate professional learning communities. Includes examples from the field, resources, and a plethora of tools to download and share. Create a professional learning plan that empowers you to lead with clarity and purpose.
Download or read book Becoming the Math Teacher You Wish You d Had written by Tracy Johnston Zager and published by Taylor & Francis. This book was released on 2023-10-10 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.
Download or read book Math on the Move written by Malke Rosenfeld and published by Heinemann Educational Books. This book was released on 2016-10-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
