Mathematical Connections PDF Download
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| Author | : Maurice Joseph Burke |
| Publisher | : National Council of Teachers of |
| Total Pages | : 178 |
| Release | : 2006-01-01 |
| Genre | : Education |
| ISBN | : 9780873535762 |
Download Navigating Through Mathematical Connections in Grades 9-12 Book in PDF, ePub and Kindle
Making connections becomes increasingly important as students proceed through middle school and high school. This book shows ways of embedding connective processes in instruction in grades 9-12. Problems invite mathematical modelling, unify diverse content, call for different representations and encourage students to look back at their work to find connections. Activities feature such tasks as determining a dosage schedule for a prescription drug, making ""transit graphs"" to maximise travel through a canal and deciding when to accept a ""double dare"" in a simple game. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.
| Author | : Jo Boaler |
| Publisher | : Heinemann Educational Books |
| Total Pages | : 146 |
| Release | : 2005 |
| Genre | : Education |
| ISBN | : |
Download Connecting Mathematical Ideas Book in PDF, ePub and Kindle
In math, like any subject, real learning takes place when students can connect what they already know to new ideas. In "Connecting Mathematical Idea"s, Jo Boaler and Cathy Humphreys offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. "Connecting Mathematical Ideas" contains two-CDs worth of video case studies from Humphreys' own middle-school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. Replete with math talk and coverage of topics like representation, reasonableness, and proof, the CDs also include complete transcripts and study questions that stimulate professional learning. Meanwhile, the accompanying book guides you through the CDs with in-depth commentary from Boaler and Humphreys that breaks down and analyzes the lesson footage from both a theoretical and a practical standpoint. In addition to addressing the key content areas of middle school mathematics, Boaler and Humphreys pose and help you address a broad range of frequently asked pedagogical questions, such as: How can I organize productive class discussions? How do I ask questions that stimulate discussion and thought among my students? What's the most effective way to encourage reticent class members to speak up? What role should student errors play in my teaching? Go inside real classrooms to solve your toughest teaching questions. Use the case studies and the wealth of professional support within "Connecting Mathematical Ideas" and find new ways to help your students connect with math.
| Author | : Al Cuoco |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 239 |
| Release | : 2005-12-31 |
| Genre | : Mathematics |
| ISBN | : 1614441235 |
Download Mathematical Connections Book in PDF, ePub and Kindle
Mathematical Connections is about some of the topics that form the foundations for high school mathematics. It focuses on a closely knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics--topics that have fallen out of fashion and that deserve to be resurrected. While the book will appeal to many audiences, one of the primary audiences is high school teachers, both practicing and prospective. It can be used as a text for undergraduate or professional courses, and the design lends itself to self study. Of course, good mathematics for teaching is also good for many other uses, so readers of all persuasions can enjoy exploring some of the beautiful ideas presented in the pages of this book.
| Author | : Albert Cuoco |
| Publisher | : Cambridge University Press |
| Total Pages | : 274 |
| Release | : 2005-08-11 |
| Genre | : Education |
| ISBN | : 9780883857397 |
Download Mathematical Connections Book in PDF, ePub and Kindle
This book is about some of the topics that form the foundations for high school mathematics. It focuses on a closely-knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics, topics that have fallen out of fashion and that deserve to be resurrected. Most importantly, the book is about some mathematical ways of thinking the author found extremely useful, both in his roles as a mathematician and as a mentor of young people learning to do mathematics.
| Author | : Linda Armstrong |
| Publisher | : Mark Twain Media |
| Total Pages | : 68 |
| Release | : 2016-01-04 |
| Genre | : Education |
| ISBN | : 1622235975 |
Download Math Connections to the Real World, Grades 5 - 8 Book in PDF, ePub and Kindle
Math Connections to the Real World for grades 5 to 8 increases studentsÕ ability to effectively apply math skills in real-world scenarios. Aligned to current state standards, this supplement offers students the opportunity to combine math and language arts skills to successfully solve everyday problems and communicate answers. --Mark Twain Media Publishing Company specializes in providing engaging supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, this product line covers a range of subjects including math, science, language arts, social studies, history, government, fine arts, and character.
| Author | : John B. Conway |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 263 |
| Release | : 2010 |
| Genre | : Mathematics |
| ISBN | : 0821849794 |
Download Mathematical Connections Book in PDF, ePub and Kindle
This book illustrates connections between various courses taken by undergraduate mathematics majors. As such it can be used as a text for a capstone course. The chapters are essentially independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and abilities of the students. At the end of such a course the graduating seniors should glimpse mathematics not as a series of independent courses but as something more like an integrated body of knowledge. The book has numerous exercises and examples so that the student has many opportunities to see the material illustrated and fleshed out.
| Author | : David Wells |
| Publisher | : Courier Dover Publications |
| Total Pages | : 177 |
| Release | : 2018-07-18 |
| Genre | : Mathematics |
| ISBN | : 0486824624 |
Download Hidden Connections and Double Meanings Book in PDF, ePub and Kindle
You don't have to be a mathematician to appreciate these intriguing problems and puzzles, which focus on insight and imagination rather than technique. Includes hints and solutions.
| Author | : Hope Martin |
| Publisher | : Corwin Press |
| Total Pages | : 217 |
| Release | : 2006-07-27 |
| Genre | : Education |
| ISBN | : 1412937663 |
Download Making Math Connections Book in PDF, ePub and Kindle
"Making Math Connections integrates mathematics into a variety of subject areas and real-life settings, providing motivation for students to want to learn the material being presented. The book also uses a variety of activities to promote learning for students with different interests and learning styles." -Steven P. Isaak, Mathematics Teacher Advanced Technologies Academy, Las Vegas, NV Spark student learning by making an authentic connection between math and real-life experiences! Students often fail to make the connection between "school math" and their everyday lives, becoming passive recipients of isolated, memorized rules and formulas. This remarkable new resource will help students become active problem-solvers who see mathematics as a meaningful tool that can be used outside the classroom. Hope Martin applies more than 40 years of teaching experience to developing a myriad of high-interest, meaningful math investigations. Using a teacher-friendly format, she shows educators how to integrate into the math curriculum engaging, everyday topics, such as forensics, natural disasters, tessellations, the stock market, and literature. This project-based resource encourages cooperative, interactive learning experiences that not only help students make connections between various math skills but also make important connections to the real world. Aligned to NCTM standards, these mathematical applications are broken down into complete units focusing on different topics. Each chapter includes: Background information on the topic Step-by-step procedures for math investigations Assessment strategies Journal questions Reproducible worksheets Additional related readings and Internet Web sites By increasing their awareness of meaningful everyday applications, students will learn to use math as an essential tool in their daily lives.
| Author | : Gareth E. Roberts |
| Publisher | : JHU Press |
| Total Pages | : 320 |
| Release | : 2016-02-15 |
| Genre | : Mathematics |
| ISBN | : 1421419181 |
Download From Music to Mathematics Book in PDF, ePub and Kindle
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.
| Author | : Trudi Hammel Garland |
| Publisher | : Dale Seymour Publications Secondary |
| Total Pages | : 0 |
| Release | : 1995 |
| Genre | : Music |
| ISBN | : 9780866518291 |
Download Math and Music Book in PDF, ePub and Kindle
From the beat of a tribal drum to a choir of crickets--music is everywhere. Math and Music explores the music of various cultures and the sounds heard in nature while highlighting the mathematical concepts, such as proportion, patterns, Fibonacci numbers, geometric transformations, and trigonometry, found in music. The companion poster explores mysterious connections between seemingly different entities, such as music and animals! A four-page guide explains the connections students may discover.
