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Exploring Triangles
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Book Synopsis Discovering Shapes, Exploring Colors: A Kid's Guide by : Sameer Shende
Download or read book Discovering Shapes, Exploring Colors: A Kid's Guide written by Sameer Shende and published by Sameer Shende. This book was released on 2023-06-11 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: Welcome to the exciting world of shapes and colors! This book is here to guide you on a fun-filled adventure as we explore the amazing world of shapes and colors together.
Book Synopsis Exploring Geometry by : Michael Hvidsten
Download or read book Exploring Geometry written by Michael Hvidsten and published by CRC Press. This book was released on 2016-12-08 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author
Book Synopsis Exploring Discrete Geometry by : Thomas Q. Sibley
Download or read book Exploring Discrete Geometry written by Thomas Q. Sibley and published by American Mathematical Society. This book was released on 2024-07-22 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with its clear mathematical exposition, the problems in this book take the reader from an introduction to discrete geometry all the way to its frontiers. Investigations start with easily drawn figures, such as dividing a polygon into triangles or finding the minimum number of “guards” for a polygon (“art gallery” problem). These early explorations build intuition and set the stage. Variations on the initial problems stretch this intuition in new directions. These variations on problems together with growing intuition and understanding illustrate the theme of this book: “When you have answered the question, it is time to question the answer.” Numerous drawings, informal explanations, and careful reasoning build on high school algebra and geometry.
Book Synopsis Exploring Mathematics Iii Tm' 2003 Ed. by :
Download or read book Exploring Mathematics Iii Tm' 2003 Ed. written by and published by Rex Bookstore, Inc.. This book was released on with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exploring Advanced Euclidean Geometry with GeoGebra by : Gerard A. Venema
Download or read book Exploring Advanced Euclidean Geometry with GeoGebra written by Gerard A. Venema and published by American Mathematical Soc.. This book was released on 2013-12-31 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.
Book Synopsis The Secrets of Triangles by : Alfred S. Posamentier
Download or read book The Secrets of Triangles written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2012-08-28 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets." For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point-no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.
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: Exploring Mathematics gives students experience with doing mathematics - interrogating mathematical claims, exploring definitions, forming conjectures, attempting proofs, and presenting results - and engages them with examples, exercises, and projects that pique their interest. Written with a minimal number of pre-requisites, this text can be used by college students in their first and second years of study, and by independent readers who want an accessible introduction to theoretical mathematics. Core topics include proof techniques, sets, functions, relations, and cardinality, with selected additional topics that provide many possibilities for further exploration. With a problem-based approach to investigating the material, students develop interesting examples and theorems through numerous exercises and projects. In-text exercises, with complete solutions or robust hints included in an appendix, help students explore and master the topics being presented. The end-of-chapter exercises and projects provide students with opportunities to confirm their understanding of core material, learn new concepts, and develop mathematical creativity.
Book Synopsis Adventures in Dynamic Geometry by : Gerry Stahl
Download or read book Adventures in Dynamic Geometry written by Gerry Stahl and published by Lulu.com. This book was released on 2015-10-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math games and workbooks with topics for online small groups of teachers or students to collaboratively learn dynamic geometry. The approach is based on "Translating Euclid." The many GeoGebra files used in VMT courses are pictured in the workbook. Several versions of the workbooks are available, including the version used in WinterFest 2013 and analyzed in "Translating Euclid" and "Constructing Dynamic Triangles Together." Also includes the content of a game version that is available as a GeoGebraBook.
Book Synopsis Constructing Dynamic Triangles Together by : Gerry Stahl
Download or read book Constructing Dynamic Triangles Together written by Gerry Stahl and published by Cambridge University Press. This book was released on 2016 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study illustrates how groups learn through collaboration, mathematical discourse, and problem solving in a guided sequence of online topics.
Book Synopsis Exploring Math with Technology by : Allison W. McCulloch
Download or read book Exploring Math with Technology written by Allison W. McCulloch and published by Taylor & Francis. This book was released on 2023-08-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book provides support for secondary mathematics teachers learning how to enact high-quality, equitable math instruction with dynamic, mathematics-specific technologies. Using practical advice from their own work as well as from interviews with 23 exceptional technology-using math teachers, the authors develop a vision of teaching with technology that positions all students as powerful doers of mathematics using math-specific technologies (e.g., dynamic graphing and geometry applications, data exploration tools, computer algebra systems, virtual manipulatives). Each chapter includes sample tasks, advice from technology-using math teachers, and guiding questions to help teachers with implementation. The book offers a rich space for secondary math teachers to explore important pedagogical practices related to teaching with technology, combined with broader discussions of changing the narratives about students – emphasizing the mathematics they can do and the mathematics they deserve. Accompanying online support materials include video vignettes of teachers and students interacting around technology-enhanced tasks in the classroom, as well as examples of more than 30 high-quality technology-enhanced tasks.
Book Synopsis Math Games: Getting to the Core of Conceptual Understanding ebook by : Ted H. Hull
Download or read book Math Games: Getting to the Core of Conceptual Understanding ebook written by Ted H. Hull and published by Teacher Created Materials. This book was released on 2013-04-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focus on the teaching and learning of mathematics through the use of games. Based on current research and correlated to College and Career Readiness and other state standards, this resource provides both teachers and students with rich opportunities to engage in the Standards for Mathematical Practice. Each concept-building game supports students' learning and understanding concepts. Games are provided in the following categories: Counting and Cardinality; Operations and Algebraic Thinking; Expressions and Equations; Functions; Numbers and Operations in Base Ten; Numbers and Operations--Fractions; The Number System; Ratio and Proportional Relationships; Measurement and Data; Geometry; and Statistics and Probability.
Book Synopsis Exploring Geovisualization by : J. Dykes
Download or read book Exploring Geovisualization written by J. Dykes and published by Elsevier. This book was released on 2005-02-10 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sophisticated interactive maps are increasingly used to explore information - guiding us through data landscapes to provide information and prompt insight and understanding. Geovisualization is an emerging domain that draws upon disciplines such as computer science, human-computer interactiondesign, cognitive sciences, graphical statistics, data visualization, information visualization, geographic information science and cartography to discuss, develop and evaluate interactive cartography.This review and exploration of the current and future status of geovisualization has been produced by key researchers and practitioners from around the world in various cognate fields ofstudy. The thirty-six chapters present summaries of work undertaken, case studies focused on new methods and their application, system descriptions, tests of their implementation, plans for collaboration and reflections on experiences of using and developing geovisualization techniques.In total, over 50 pages of color are provided in the book along with more than 250 color images on an enclosed CD-ROM.
Book Synopsis Guided Practice Book for Targeted Mathematics Intervention by : Teacher Created Materials Staff
Download or read book Guided Practice Book for Targeted Mathematics Intervention written by Teacher Created Materials Staff and published by . This book was released on 2008-05-20 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Receive the special price of $8.99 per book when 10 or more copies are ordered! The Student Guided Practice book has been created specifically to support each Targeted Mathematics Intervention level to reinforce the skills taught in the lessons.
Book Synopsis The Genogram Casebook: A Clinical Companion to Genograms: Assessment and Intervention by : Monica McGoldrick
Download or read book The Genogram Casebook: A Clinical Companion to Genograms: Assessment and Intervention written by Monica McGoldrick and published by W. W. Norton & Company. This book was released on 2016-08-16 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A long-awaited workbook companion to Monica McGoldrick’s highly successful textbook Genograms. This clinical companion to the bestselling Genograms: Assessment & Intervention uses case examples to articulate the most effective ways to use genograms in clinical practice. Widely utilized by family therapists and health care professionals, the genogram is a graphic way of organizing the mass of information gathered during a family assessment and finding patterns in the family system for more targeted treatment. For a client with cutoff relationships or a history of trauma, it can be hard to talk to a therapist about past and present relationships. Genograms are a non-intrusive and non-confrontational way to learn about a client's history and chart crucial, complex information for effective assessment and therapy. The Genogram Casebook deploys richly detailed case examples to address resistance to genograms, overcoming dysfunctional relationship patterns, working with couples, navigating issues of divorce and remarriage, using genograms in family sessions with children, repairing conflict and cutoff with family members, looking at the therapist's own family, and much more. It's a vibrantly practical, decisively essential guide to the use of genograms in mental health practice.
Download or read book Geometry Turned On written by James King and published by Cambridge University Press. This book was released on 1997-10-30 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles about the uses of active, exploratory geometry carried out with interactive computer software.
Book Synopsis Icons of Mathematics: An Exploration of Twenty Key Images by : Claudi Alsina
Download or read book Icons of Mathematics: An Exploration of Twenty Key Images written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2020-06-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs are visual whenever possible. The results require no more than high-school mathematics to appreciate and many of them will be new even to experienced readers. Besides theorems and proofs, the book contains many illustrations and it gives connections of the icons to the world outside of mathematics. There are also problems at the end of each chapter, with solutions provided in an appendix. The book could be used by students in courses in problem solving, mathematical reasoning, or mathematics for the liberal arts. It could also be read with pleasure by professional mathematicians, as it was by the members of the Dolciani editorial board, who unanimously recommend its publication.
Book Synopsis Fostering Children's Mathematical Power by : Arthur J. Baroody
Download or read book Fostering Children's Mathematical Power written by Arthur J. Baroody and published by Routledge. This book was released on 1998-09-01 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teachers have the responsibility of helping all of their students construct the disposition and knowledge needed to live successfully in a complex and rapidly changing world. To meet the challenges of the 21st century, students will especially need mathematical power: a positive disposition toward mathematics (curiosity and self confidence), facility with the processes of mathematical inquiry (problem solving, reasoning and communicating), and well connected mathematical knowledge (an understanding of mathematical concepts, procedures and formulas). This guide seeks to help teachers achieve the capability to foster children's mathematical power - the ability to excite them about mathematics, help them see that it makes sense, and enable them to harness its might for solving everyday and extraordinary problems. The investigative approach attempts to foster mathematical power by making mathematics instruction process-based, understandable or relevant to the everyday life of students. Past efforts to reform mathematics instruction have focused on only one or two of these aims, whereas the investigative approach accomplishes all three. By teaching content in a purposeful context, an inquiry-based fashion, and a meaningful manner, this approach promotes chilren's mathematical learning in an interesting, thought-provoking and comprehensible way. This teaching guide is designed to help teachers appreciate the need for the investigative approach and to provide practical advice on how to make this approach happen in the classroom. It not only dispenses information, but also serves as a catalyst for exploring, conjecturing about, discussing and contemplating the teaching and learning of mathematics.
