Download or read book Navigating Through Mathematical Connections in Grades 9 12 written by Maurice Joseph Burke and published by National Council of Teachers of. This book was released on 2006-01-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Connecting Mathematical Ideas written by Jo Boaler and published by Heinemann Educational Books. This book was released on 2005 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Connections written by Albert Cuoco and published by Cambridge University Press. This book was released on 2005-08-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Connections written by Al Cuoco and published by American Mathematical Soc.. This book was released on 2005-12-31 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Math Connections to the Real World Grades 5 8 written by Linda Armstrong and published by Mark Twain Media. This book was released on 2016-01-04 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Connections written by John B. Conway and published by American Mathematical Soc.. This book was released on 2010 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Hidden Connections and Double Meanings written by David Wells and published by Courier Dover Publications. This book was released on 2018-07-18 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Making Math Connections written by Hope Martin and published by Corwin Press. This book was released on 2006-07-27 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Connecting Math Concepts Level C Studentworkbook 1 written by SRA/McGraw-Hill and published by . This book was released on 2011-09-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains a remedial mathematics program for grades K-5.
Download or read book Nets Puzzles and Postmen written by Peter M Higgins and published by OUP Oxford. This book was released on 2009-01-29 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do road and railway systems, electrical circuits, mingling at parties, mazes, family trees, and the internet all have in common? All are networks - either people or places or things that relate and connect to one another. Only relatively recently have mathematicians begun to explore such networks and connections, and their importance has taken everyone by surprise. The mathematics of networks form the basis of many fascinating puzzles and problems, from tic-tac-toe and circular sudoku to the 'Chinese Postman Problem' (can he deliver all his letters without traversing the same street twice?). Peter Higgins shows how such puzzles as well as many real-world phenomena are underpinned by the same deep mathematical structure. Understanding mathematical networks can give us remarkable new insights into them all.
Download or read book Mathematical Connections written by Bruce Pollack-Johnson and published by . This book was released on 1998 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I is appropriate for undergraduate math courses in single-variable Business Calculus (including Brief Calculus). Volume II is a follow-up covering finite math topics, multivariable calculus, and least squares regression. Appropriate as the 2nd semester materials to a Math for Business course. The text's overall approach is problem-driven with topics motivated and developed using interesting and useful real-world examples, many from actual student projects. The focus of the text is on the entire process of problem-solving, including the formulation and validation of mathematical models. It emphasizes conceptual understanding so students can use techniques and technology intelligently as a tool for solving real problems. (Graphing calculator and/or spreadsheet are recommended.)
Download or read book Math and Music written by Trudi Hammel Garland and published by Dale Seymour Publications Secondary. This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Science Music And Mathematics The Deepest Connections written by Michael Edgeworth Mcintyre and published by World Scientific. This book was released on 2021-11-03 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Michael Edgeworth McIntyre is an eminent scientist who has also had a part-time career as a musician. From a lifetime's thinking, he offers this extraordinary synthesis exposing the deepest connections between science, music, and mathematics, while avoiding equations and technical jargon. He begins with perception psychology and the dichotomization instinct and then takes us through biological evolution, human language, and acausality illusions all the way to the climate crisis and the weaponization of the social media, and beyond that into the deepest parts of theoretical physics — demonstrating our unconscious mathematical abilities.He also has an important message of hope for the future. Contrary to popular belief, biological evolution has given us not only the nastiest, but also the most compassionate and cooperative parts of human nature. This insight comes from recognizing that biological evolution is more than a simple competition between selfish genes. Rather, he suggests, in some ways it is more like turbulent fluid flow, a complex process spanning a vast range of timescales.Professor McIntyre is a Fellow of the Royal Society of London (FRS) and has worked on problems as diverse as the Sun's magnetic interior, the Antarctic ozone hole, jet streams in the atmosphere, and the psychophysics of violin sound. He has long been interested in how different branches of science can better communicate with each other and with the public, harnessing aspects of neuroscience and psychology that point toward the deep 'lucidity principles' that underlie skilful communication.
Download or read book Mastering Math Manipulatives Grades 4 8 written by Sara Delano Moore and published by Corwin Press. This book was released on 2021-10-04 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters, geometric strips and solids, geoboards, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: · Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. · Step-by-step instructions for over 70 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. · Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness.
Download or read book Mathematical Connections written by Francis J. Gardella and published by Houghton Mifflin. This book was released on 2006 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook in mathematics for students in grades 7-10.
Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.
