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Mathematics Connections
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Book Synopsis Geometry Connections by : John K. Beem
Download or read book Geometry Connections written by John K. Beem and published by Prentice Hall. This book was released on 2006 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook presents a review of college-level geometry, designed to equip middle grade mathematics teachers with the skills needed for teaching NCTM (National Council of Teachers of Mathematics) Standards-based curricula. Contains geometry which middle school mathematics teachers will actually have to teach, as well as additional material to deepen future teachers' knowledge and understanding of geometry. Includes a variety of activities designed to deepen the connections between the geometry students are studying now and the geometry they will teach.
Book Synopsis Historical Connections in Mathematics by : Wilbert Reimer
Download or read book Historical Connections in Mathematics written by Wilbert Reimer and published by . This book was released on 2012 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains biographical information on great mathematicians, plus portraits, illustrations and activities for the classroom.
Book Synopsis Connecting Mathematical Ideas by : Jo Boaler
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.
Author :Maurice Joseph Burke Publisher :National Council of Teachers of ISBN 13 :9780873535762 Total Pages :178 pages Book Rating :4.5/5 (357 download)
Book Synopsis Navigating Through Mathematical Connections in Grades 9-12 by : Maurice Joseph Burke
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.
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.
Book Synopsis Connections in Discrete Mathematics by : Steve Butler
Download or read book Connections in Discrete Mathematics written by Steve Butler and published by Cambridge University Press. This book was released on 2018-06-14 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.
Book Synopsis Science, Music, And Mathematics: The Deepest Connections by : Michael Edgeworth Mcintyre
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.
Book Synopsis Mathematical Connections by : John B. Conway
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.
Book Synopsis Connecting Math Concepts Level C Studentworkbook 1 by : SRA/McGraw-Hill
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.
Book Synopsis Reasoning, Communication and Connections in Mathematics by : Berinderjeet Kaur
Download or read book Reasoning, Communication and Connections in Mathematics written by Berinderjeet Kaur and published by World Scientific. This book was released on 2012 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms. Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.
Book Synopsis Hidden Connections and Double Meanings by : David Wells
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 Connections Maths written by Edward Duffy and published by Pascal Press. This book was released on 2003 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Connections Maths 7 Teaching and Assessment Book includes many re sources that makes using the Connections series the most effective and u ser-friendly series available. The resources in this book include : a teaching program referenced to the student book syllabus notes detailed guidance on teaching each topic outcomes clearly stated and cross referenced to the student book assessment and reporting strategies over 70 photocopiable worksheets for use with talented students solutions to all wor ksheets overview and summary of every chapter and exercise in t he student book answers to activities in the student book relevant internet sites and further research questions all this material is also provided on CD-ROM to allow for customising
Book Synopsis Understanding Analysis and its Connections to Secondary Mathematics Teaching by : Nicholas H. Wasserman
Download or read book Understanding Analysis and its Connections to Secondary Mathematics Teaching written by Nicholas H. Wasserman and published by Springer Nature. This book was released on 2022-01-03 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Getting certified to teach high school mathematics typically requires completing a course in real analysis. Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way. This textbook is our attempt to change the narrative. It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching. This book is a companion text. It is intended to be a supplemental resource, used in conjunction with a more traditional real analysis book. The textbook is based on our efforts to identify ways that studying real analysis can provide future teachers with genuine opportunities to think about teaching secondary mathematics. It focuses on how mathematical ideas are connected to the practice of teaching secondary mathematics–and not just the content of secondary mathematics itself. Discussions around pedagogy are premised on the belief that the way mathematicians do mathematics can be useful for how we think about teaching mathematics. The book uses particular situations in teaching to make explicit ways that the content of real analysis might be important for teaching secondary mathematics, and how mathematical practices prevalent in the study of real analysis can be incorporated as practices for teaching. This textbook will be of particular interest to mathematics instructors–and mathematics teacher educators–thinking about how the mathematics of real analysis might be applicable to secondary teaching, as well as to any prospective (or current) teacher who has wondered about what the purpose of taking such courses could be.
Book Synopsis Mathematics Connections by : Robert B. Ashlock
Download or read book Mathematics Connections written by Robert B. Ashlock and published by McGraw-Hill/Glencoe. This book was released on 1999-03 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Connections Maths written by Ajit Kalra and published by Pascal Press. This book was released on 2004 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connections Maths 9 Stage 5. 2 / 5. 1 together with Connections Maths 10 Stage 5. 2 /5. 1 provide complete coverage of the outcomes for Stage 5. 2 / 5. 1. The outcomes for Stage 5. 3 / 5. 2 are covered in Connecti ons Maths Stage 5. 3 / 5. 2 / 5. 1 and Connections Maths Stage 5. 3 / 5. 2 / 5. 1. Features: outcomes at the start of every chapter a dynamic full colour design that clearly distinguishes theory, examples, exercises, and features carefully graded exe rcises with worked examples and solutions linked to each cartoo ns offering helpful hints working mathematically strands that a re fully integrated. These also feature regularly in challenging section s designed as extension material which also contain interesting historic al and real life context a chapter review to revise and consoli date learning in each chapter speed skills sections to revise a nd provide mental arithmetic skills problem solving application strategies with communication and reasoning through an inquiry approach a comprehensive Diagnostic test providing a cumulative review of learning in all chapters, cross referenced to each exercise integrated technology activities literacy skills develop langua ge skills relevant to each chapter fully linked icons to accomp anying CD-ROM he student CD-ROM accompanying this textbook can be used at school or at home for further explanation and learning Each CD-ROM contains: interactive diagnostic text - perfect revision for all Stage 4 work. The regenerative nature of the p rogram allows for an almost limitless number of varied tests of equal di fficulty. This test can be used prior to commencing Stage 5 work dynamic geometry activities using WinGeom and Cabri software for stude nt investigations using technology with formatted Excel spreadsheets full textbook with links to the above
Book Synopsis Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers by : Nicholas H. Wasserman
Download or read book Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers written by Nicholas H. Wasserman and published by Springer. This book was released on 2018-12-12 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.
Download or read book Connections Maths written by Ajit Kalra and published by Pascal Press. This book was released on 2004 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connections Maths 9 Stage 5. 3 / 5. 2 / 5. 1 together with Connection s Maths 10 Stage 5. 3 / 5. 2 /5. 1 provides complete coverage of the out comes for Stage 5. 3 pathway. The outcomes for theStage 5. 2 are covered in Connections Maths 9 Stage 5. 2 / 5. 1 and Connections Maths Stage 10 5. 2 / 5. 1. Features: outcomes at the start of ever y chapter a dynamic full colour design that clearly distinguish es theory, examples, exercises, and features carefully graded e xercises with worked examples and solutions linked to each cart oons offering helpful hints working mathematically strands that are fully integrated. These also feature regularly in challenging secti ons designed as extension material which also contain interesting histor ical and real life context a chapter review to revise and conso lidate learning in each chapter speed skills sections to revise and provide mental arithmetic skills problem solving applicati on strategies with communication and reasoning through an inquiry approa ch a comprehensive Diagnostic test providing a cumulative revi ew of learning in all chapters, cross referenced to each exercise integrated technology activities literacy skills develop lan guage skills relevant to each chapter fully linked icons to acc ompanying CD-ROM The student CD-ROM accompanying this text book can be used at school or at home for further explanation and learni ng. Each CD-ROM contains: interactive diagnostic tex t - perfect revision for all Stage 4 work. The regenerative nature of the program allows for an almost limitless number of varied tests of equal difficulty. This test can be used prior to commencing Stage 5 wor k dynamic geometry activities using WinGeom and Cabri software for student investigations using technology with formatted Exce l spreadsheets full textbook with links to the above
