Exploring Mathematics

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Exploring Mathematics

Author : Daniel Grieser
Publisher : Springer
ISBN 13 : 3319903217
Total Pages : 308 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Exploring Mathematics by : Daniel Grieser

Download or read book Exploring Mathematics written by Daniel Grieser and published by Springer. This book was released on 2018-05-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.

Exploring Mathematics

Author : Rajee Amarasinghe
Publisher :
ISBN 13 : 9781516550739
Total Pages : 148 pages
Book Rating : 4.5/5 (57 download)

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Book Synopsis Exploring Mathematics by : Rajee Amarasinghe

Download or read book Exploring Mathematics written by Rajee Amarasinghe and published by . This book was released on 2012-07 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Mathematics: Investigations for Elementary School Teachers is a text designed to give readers a highly conceptual understanding of mathematics topics essential for Common Core Standards-based elementary school teaching. In this book, the development of mathematical concepts, methods, and skills takes place through discussions and analyses of alternative solutions to engaging problems and activities with the use of manipulatives, visual models, and technology. Prospective teachers are expected to make sense of the problems and activities, communicate and articulate their ideas, critique the reasoning of others, and persevere solving problems using appropriate tools. Special features of the book include "Polya's corners" for challenging problems with multiple access points, chapter reflection writing assignments, individual and group project descriptions, and extensive problem sets. The material in Exploring Mathematics is extensively classroom-tested, making this book an ideal, practical text for upper-division mathematics courses for pre-service elementary school teachers. The book not only shows ideas for implementing the eight standards of mathematical practices described in the common core standards into elementary teaching, but also allows the readers to actually experience those practices in their own learning process.

Exploring Mathematics

Author : John Meier
Publisher : Cambridge University Press
ISBN 13 : 1107128986
Total Pages : 341 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Exploring Mathematics by : John Meier

Download or read book Exploring Mathematics written by John Meier and published by Cambridge University Press. This book was released on 2017-08-07 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: With exercises and projects, Exploring Mathematics supports an active approach to the transition to upper-level theoretical math courses.

Exploring Mathematics Through Play in the Early Childhood Classroom

Author : Amy Noelle Parks
Publisher : Teachers College Press
ISBN 13 : 0807773476
Total Pages : 161 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Exploring Mathematics Through Play in the Early Childhood Classroom by : Amy Noelle Parks

Download or read book Exploring Mathematics Through Play in the Early Childhood Classroom written by Amy Noelle Parks and published by Teachers College Press. This book was released on 2015-04-28 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common Core State Standards are addressed throughout the text to demonstrate the ways in which play is critical to standards-based mathematics teaching, and to help teachers become more familiar with these standards. Classroom examples illustrate that, unlike most formal tasks, play offers children opportunities to solve nonroutine problems and to demonstrate a variety of mathematical ways of thinking—such as perseverance and attention to precision. This book will help put play back into the early childhood classroom where it belongs. Book Features: Makes explicit connections to play and the Common Core State Standards in Mathematics. Offers many examples of free play activities in which mathematics can be highlighted, as well as formal lessons that are inspired by play. Provides strategies for making assessments more playful, helping teachers meet increasing demands for assessment data while also reducing child stress. Includes highlight boxes with recommended resources, questions for reflection, key research findings, vocabulary, lesson plan templates, and more. “This is one of those books that I wish I had written. It is smart, readable, relevant, and authentically focused on children.” —From the Foreword by Elizabeth Graue, Sorenson Professor of Early Childhood Education, University of Wisconsin “In this deceptively easy-to-read book, Amy Parks explains two things that could make a world of difference in early childhood and elementary classrooms: Mathematics isn’t something in a workbook—it’s a fascinating part of the real world; And playing in school isn’t a luxury—it’s an essential context for learning about all sorts of things, including mathematics. Through vignettes of children learning mathematics as they play, Parks helps teachers recognize their ‘answerability to the moment,’ eschewing someone else’s determination of ‘best practice’ in favor of what works with actual children eager to learn mathematics.” —Rebecca New, School of Education, University of North Carolina at Chapel Hill

Exploring Mathematics

Author : Craig Johnson
Publisher : Jones & Bartlett Publishers
ISBN 13 : 1284076229
Total Pages : 676 pages
Book Rating : 4.2/5 (84 download)

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Book Synopsis Exploring Mathematics by : Craig Johnson

Download or read book Exploring Mathematics written by Craig Johnson and published by Jones & Bartlett Publishers. This book was released on 2014-08 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Mathematics: Investigations with Functions is intended for a one- or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, or any of the other majors within liberal arts. The mathematics course of this scope, with an algebra prerequsite, is a popular selection for liberal arts students. This 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as aesthetic features of this rich facet of history and ongoing advancement of human society. With a central theme around the use of the concept of functions, and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, How does mathematics help us to better our society and understand the world around us? and What are some of the unifying ideas of mathematics? The central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. Developing the concept of a function augments the presentation of many topics in every chapter. The Text's Objectives: The author chose the topics based on meeting the specific NCTM curriculum standards to: 1. Strengthen estimation and computational skills. 2. Utilize algebraic concepts. 3. Emphasize problem-solving and reasoning. 4. Emphasize pattern and relationship recognition. 5. Highlight importance of units in measurement. 6. Highlight importance of the notion of a mathematical function. 7. Display mathematical connections to other disciplines.

Exploring the World of Mathematics

Author : John Hudson Tiner
Publisher : New Leaf Publishing Group
ISBN 13 : 161458155X
Total Pages : 159 pages
Book Rating : 4.6/5 (145 download)

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Book Synopsis Exploring the World of Mathematics by : John Hudson Tiner

Download or read book Exploring the World of Mathematics written by John Hudson Tiner and published by New Leaf Publishing Group. This book was released on 2004-07-01 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers surround us. Just try to make it through a day without using any. It's impossible: telephone numbers, calendars, volume settings, shoe sizes, speed limits, weights, street numbers, microwave timers, TV channels, and the list goes on and on. The many advancements and branches of mathematics were developed through the centuries as people encountered problems and relied upon math to solve them. For instance: What timely invention was tampered with by the Caesars and almost perfected by a pope? Why did ten days vanish in September of 1752? How did Queen Victoria shorten the Sunday sermons at chapel? What important invention caused the world to be divided into time zones? What simple math problem caused the Mars Climate Orbiter to burn up in the Martian atmosphere? What common unit of measurement was originally based on the distance from the equator to the North Pole? Does water always boil at 212? Fahrenheit? What do Da Vinci's Last Supper and the Parthenon have in common? Why is a computer glitch called a "bug"? It's amazing how ten simple digits can be used in an endless number of ways to benefit man. The development of these ten digits and their many uses is the fascinating story you hold in your hands: Exploring the World of Mathematics.

Turtle Geometry

Author : Harold Abelson
Publisher : MIT Press
ISBN 13 : 9780262510370
Total Pages : 502 pages
Book Rating : 4.5/5 (13 download)

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Book Synopsis Turtle Geometry by : Harold Abelson

Download or read book Turtle Geometry written by Harold Abelson and published by MIT Press. This book was released on 1986-07-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.

Exploring Mathematics Through Literature

Author : Diane Thiessen
Publisher : National Council of Teachers of English
ISBN 13 :
Total Pages : 310 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Exploring Mathematics Through Literature by : Diane Thiessen

Download or read book Exploring Mathematics Through Literature written by Diane Thiessen and published by National Council of Teachers of English. This book was released on 2004 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles and lessons provides classroom examples of how to use children's literature to teach mathematics effectively in prekindergarten through eighth grade. The articles focus on five content strands-number and operations, algebra, geometry, measurement and data analysis and probability-and describe how the different authors have used specific books to help their students learn mathematics. Most of the articles involve communication, problem solving, representation and reasoning and some of them address connections. Helpful teacher notes indicate the grade range, topic, literature selection featured in the lesson, materials needed, discussion of the mathematics and questions for students. Blackline masters of recording sheets are also included for most lessons.

Discovering Mathematics

Author : A. Gardiner
Publisher : Courier Corporation
ISBN 13 : 0486452999
Total Pages : 226 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Discovering Mathematics by : A. Gardiner

Download or read book Discovering Mathematics written by A. Gardiner and published by Courier Corporation. This book was released on 2006-01-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.

Exploring Mathematics with Scientific Notebook

Author : Wei-Chi Yang
Publisher : Springer
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Exploring Mathematics with Scientific Notebook by : Wei-Chi Yang

Download or read book Exploring Mathematics with Scientific Notebook written by Wei-Chi Yang and published by Springer. This book was released on 1998-09 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Notebook is the latest gateway to interactive teaching and learning in the sciences and is a uniquely user-friendly front end to the computing engine Maple. As such, it provides a powerful new writing and computing tool for scientists, students, and teachers alike. Exploring Mathematics with Scientific Notebook describes the use of Scientific Notebook and presents several innovative approaches to scientific computing and to teaching pedagogy that exploit its special features.

Exploring, Investigating and Discovering in Mathematics

Author : Vasile Berinde
Publisher : Springer Science & Business Media
ISBN 13 : 9783764370190
Total Pages : 272 pages
Book Rating : 4.3/5 (71 download)

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Book Synopsis Exploring, Investigating and Discovering in Mathematics by : Vasile Berinde

Download or read book Exploring, Investigating and Discovering in Mathematics written by Vasile Berinde and published by Springer Science & Business Media. This book was released on 2003-12-17 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers creative problem solving techniques designed to develop and inspire inventive skills in students. It presents an array of selected elementary themes from arithmetic, algebra, geometry, analysis and applied mathematics. Includes solutions to over 100 problems and hints for over 150 further problems and exercises.

Exploring Mathematics and Science Teachers' Knowledge

Author : Hamsa Venkat
Publisher : Routledge
ISBN 13 : 1134683642
Total Pages : 236 pages
Book Rating : 4.1/5 (346 download)

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Book Synopsis Exploring Mathematics and Science Teachers' Knowledge by : Hamsa Venkat

Download or read book Exploring Mathematics and Science Teachers' Knowledge written by Hamsa Venkat and published by Routledge. This book was released on 2014-05-09 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Globally, mathematics and science education faces three crucial challenges: an increasing need for mathematics and science graduates; a declining enrolment of school graduates into university studies in these disciplines; and the varying quality of school teaching in these areas. Alongside these challenges, internationally more and more non-specialists are teaching mathematics and science at both primary and secondary levels, and research evidence has revealed how gaps and limitations in teachers’ content understandings can lead to classroom practices that present barriers to students’ learning. This book addresses these issues by investigating how teachers’ content knowledge interacts with their pedagogies across diverse contexts and perspectives. This knowledge-practice nexus is examined across mathematics and science teaching, traversing schooling phases and countries, with an emphasis on contexts of disadvantage. These features push the boundaries of research into teachers’ content knowledge. The book’s combination of mathematics and science enriches each discipline for the reader, and contributes to our understandings of student attainment by examining the nature of specialised content knowledge needed for competent teaching within and across the two domains. Exploring Mathematics and Science Teachers’ Knowledge will be key reading for researchers, doctoral students and postgraduates with a focus on Mathematics, Science and teacher knowledge research.

Math Adventures with Python

Author : Peter Farrell
Publisher : No Starch Press
ISBN 13 : 1593278675
Total Pages : 305 pages
Book Rating : 4.5/5 (932 download)

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Book Synopsis Math Adventures with Python by : Peter Farrell

Download or read book Math Adventures with Python written by Peter Farrell and published by No Starch Press. This book was released on 2019-01-08 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn math by getting creative with code! Use the Python programming language to transform learning high school-level math topics like algebra, geometry, trigonometry, and calculus! Math Adventures with Python will show you how to harness the power of programming to keep math relevant and fun. With the aid of the Python programming language, you'll learn how to visualize solutions to a range of math problems as you use code to explore key mathematical concepts like algebra, trigonometry, matrices, and cellular automata. Once you've learned the programming basics like loops and variables, you'll write your own programs to solve equations quickly, make cool things like an interactive rainbow grid, and automate tedious tasks like factoring numbers and finding square roots. You'll learn how to write functions to draw and manipulate shapes, create oscillating sine waves, and solve equations graphically. You'll also learn how to: - Draw and transform 2D and 3D graphics with matrices - Make colorful designs like the Mandelbrot and Julia sets with complex numbers - Use recursion to create fractals like the Koch snowflake and the Sierpinski triangle - Generate virtual sheep that graze on grass and multiply autonomously - Crack secret codes using genetic algorithms As you work through the book's numerous examples and increasingly challenging exercises, you'll code your own solutions, create beautiful visualizations, and see just how much more fun math can be!

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

Author : Robert Q. Berry III
Publisher : Corwin Press
ISBN 13 : 1071806467
Total Pages : 328 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by : Robert Q. Berry III

Download or read book High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.

From Music to Mathematics

Author : Gareth E. Roberts
Publisher : JHU Press
ISBN 13 : 1421419181
Total Pages : 320 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis From Music to Mathematics by : Gareth E. Roberts

Download or read book From Music to Mathematics written by Gareth E. Roberts and published by JHU Press. This book was released on 2016-02-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guided tour of the mathematical principles inherent in music. Taking a "music first" approach, Gareth E. Roberts's From Music to Mathematics will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the musical concepts and examples in the book motivate a deeper study of mathematics. Comprehensive and clearly written, From Music to Mathematics is designed to appeal to readers without specialized knowledge of mathematics or music. Students are taught the relevant concepts from music theory (notation, scales, intervals, the circle of fifths, tonality, etc.), with the pertinent mathematics developed alongside the related musical topic. The mathematics advances in level of difficulty from calculating with fractions, to manipulating trigonometric formulas, to constructing group multiplication tables and proving a number is irrational. Topics discussed in the book include • Rhythm • Introductory music theory • The science of sound • Tuning and temperament • Symmetry in music • The Bartók controversy • Change ringing • Twelve-tone music • Mathematical modern music • The Hemachandra–Fibonacci numbers and the golden ratio • Magic squares • Phase shifting Featuring numerous musical excerpts, including several from jazz and popular music, each topic is presented in a clear and in-depth fashion. Sample problems are included as part of the exposition, with carefully written solutions provided to assist the reader. The book also contains more than 200 exercises designed to help develop students' analytical skills and reinforce the material in the text. From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.

Knots and Surfaces

Author : David W. Farmer
Publisher : American Mathematical Soc.
ISBN 13 : 0821804510
Total Pages : 101 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Knots and Surfaces by : David W. Farmer

Download or read book Knots and Surfaces written by David W. Farmer and published by American Mathematical Soc.. This book was released on 1996 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: In most mathematics textbooks, the most exciting part of mathematics --- the process of invention and discovery --- is completely hidden from the reader. The aim of Knots and Surfaces is to change all that. By means of a series of carefully selected tasks, this book leads readers to discover some real mathematics. There are no formulas to memorize; no procedures to follow. The book is a guide: its job is to start you in the right direction and to bring you back if you stray too far. Discovery is left to you.

Exploring Numbers

Author : Andrew King
Publisher : Copper Beach Books
ISBN 13 : 9780761307228
Total Pages : 36 pages
Book Rating : 4.3/5 (72 download)

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Book Synopsis Exploring Numbers by : Andrew King

Download or read book Exploring Numbers written by Andrew King and published by Copper Beach Books. This book was released on 1998 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games and projects introduce the number system, starting with place value and ending with the four operations--addition, subtraction, multiplication, and division.