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discovering geometry an investigative approach book: Discovering Geometry Michael Serra, Key Curriculum Press Staff, 2003-03-01 |
discovering geometry an investigative approach book: Discovering Advanced Algebra , 2004-01-31 |
discovering geometry an investigative approach book: Patty Paper Geometry Michael Serra, 1994 Written by the best selling author of Discovering Geometry, Patty Paper Geometry contains 12 chapters of guided and open investigations. Open investigations encourage students to explore their own methods of discovery, and guided investigations provide more direction to students. Use Patty Paper Geometry as a supplement to your geometry program or even as a major course of study. Author: Michael Serra, Pages: 262, paperback, Publisher: Playing It Smart, ISBN: 978-1559530723 |
discovering geometry an investigative approach book: The Knot Book Colin Conrad Adams, 2004 Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics. |
discovering geometry an investigative approach book: Computational Geometry Franco P. Preparata, Michael I. Shamos, 2012-12-06 From the reviews: This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two. #Mathematical Reviews#1 ... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics. #Biometrical Journal#2 |
discovering geometry an investigative approach book: Exploring Advanced Euclidean Geometry with GeoGebra Gerard A. Venema, 2013-12-31 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. |
discovering geometry an investigative approach book: A Book of Abstract Algebra Charles C Pinter, 2010-01-14 Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition. |
discovering geometry an investigative approach book: Computational Complexity Sanjeev Arora, Boaz Barak, 2009-04-20 New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students. |
discovering geometry an investigative approach book: Discovering Geometry Michael Serra, 2008 |
discovering geometry an investigative approach book: Discovering Physical Geography Alan F. Arbogast, 2017-05-08 With Wiley’s Enhanced E-Text, you get all the benefits of a downloadable, reflowable eBook with added resources to make your study time more effective, including: • Visual Concept Checks • Imbedded Glossary with clickable references & key words • Show & Hide Solutions with automatic feedback Arbogast’s Discovering Physical Geography, 4th Edition provides interactive questions that help readers comprehend important Earth processes. The Fourth Edition continues to place great emphasis on how relevant physical geography is to each reader’s life. With an enhanced focus on the interconnections between humans and their environment, this text includes increased coverage of population growth and its impact on the environment. Updated case studies are included, as well as new sections dealing with human interactions with solar energy, wind power, soils, and petroleum. This text is welcoming, taking readers on a tour of “discovery”, and delivers content that is sound and based on the most current scientific research. |
discovering geometry an investigative approach book: Symmetry, Shape and Space L.Christine Kinsey, Teresa E. Moore, 2006-05-09 This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout. |
discovering geometry an investigative approach book: Introductory Statistics 2e Barbara Illowsky, Susan Dean, 2023-12-13 Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License. |
discovering geometry an investigative approach book: The Geography of Thought Richard Nisbett, 2010-10-26 A “landmark book” (Robert J. Sternberg, president of the American Psychological Association) by one of the world's preeminent psychologists that proves human behavior is not “hard-wired” but a function of culture. Everyone knows that while different cultures think about the world differently, they use the same equipment for doing their thinking. But what if everyone is wrong? The Geography of Thought documents Richard Nisbett's groundbreaking international research in cultural psychology and shows that people actually think about—and even see—the world differently because of differing ecologies, social structures, philosophies, and educational systems that date back to ancient Greece and China. As a result, East Asian thought is “holistic”—drawn to the perceptual field as a whole and to relations among objects and events within that field. By contrast, Westerners focus on salient objects or people, use attributes to assign them to categories, and apply rules of formal logic to understand their behavior. From feng shui to metaphysics, from comparative linguistics to economic history, a gulf separates the children of Aristotle from the descendants of Confucius. At a moment in history when the need for cross-cultural understanding and collaboration have never been more important, The Geography of Thought offers both a map to that gulf and a blueprint for a bridge that will span it. |
discovering geometry an investigative approach book: Discovering Geometry Michael Serra, 2008 |
discovering geometry an investigative approach book: The Sense of an Ending Julian Barnes, 2011-10-05 BOOKER PRIZE WINNER • NATIONAL BESTSELLER • A novel that follows a middle-aged man as he contends with a past he never much thought about—until his closest childhood friends return with a vengeance: one of them from the grave, another maddeningly present. A novel so compelling that it begs to be read in a single setting, The Sense of an Ending has the psychological and emotional depth and sophistication of Henry James at his best, and is a stunning achievement in Julian Barnes's oeuvre. Tony Webster thought he left his past behind as he built a life for himself, and his career has provided him with a secure retirement and an amicable relationship with his ex-wife and daughter, who now has a family of her own. But when he is presented with a mysterious legacy, he is forced to revise his estimation of his own nature and place in the world. |
discovering geometry an investigative approach book: Statistical Power Analysis for the Behavioral Sciences Jacob Cohen, 2013-05-13 Statistical Power Analysis is a nontechnical guide to power analysis in research planning that provides users of applied statistics with the tools they need for more effective analysis. The Second Edition includes: * a chapter covering power analysis in set correlation and multivariate methods; * a chapter considering effect size, psychometric reliability, and the efficacy of qualifying dependent variables and; * expanded power and sample size tables for multiple regression/correlation. |
discovering geometry an investigative approach book: Fostering Children's Mathematical Power Arthur J. Baroody, Ronald T. Coslick, 1998-09-01 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. |
discovering geometry an investigative approach book: Handbook of Electrochemistry Cynthia G. Zoski, 2007-02-07 Electrochemistry plays a key role in a broad range of research and applied areas including the exploration of new inorganic and organic compounds, biochemical and biological systems, corrosion, energy applications involving fuel cells and solar cells, and nanoscale investigations. The Handbook of Electrochemistry serves as a source of electrochemical information, providing details of experimental considerations, representative calculations, and illustrations of the possibilities available in electrochemical experimentation. The book is divided into five parts: Fundamentals, Laboratory Practical, Techniques, Applications, and Data. The first section covers the fundamentals of electrochemistry which are essential for everyone working in the field, presenting an overview of electrochemical conventions, terminology, fundamental equations, and electrochemical cells, experiments, literature, textbooks, and specialized books. Part 2 focuses on the different laboratory aspects of electrochemistry which is followed by a review of the various electrochemical techniques ranging from classical experiments to scanning electrochemical microscopy, electrogenerated chemiluminesence and spectroelectrochemistry. Applications of electrochemistry include electrode kinetic determinations, unique aspects of metal deposition, and electrochemistry in small places and at novel interfaces and these are detailed in Part 4. The remaining three chapters provide useful electrochemical data and information involving electrode potentials, diffusion coefficients, and methods used in measuring liquid junction potentials. * serves as a source of electrochemical information * includes useful electrochemical data and information involving electrode potentials, diffusion coefficients, and methods used in measuring liquid junction potentials * reviews electrochemical techniques (incl. scanning electrochemical microscopy, electrogenerated chemiluminesence and spectroelectrochemistry) |
discovering geometry an investigative approach book: How to Solve It G. Polya, 2014-10-26 The bestselling book that has helped millions of readers solve any problem A must-have guide by eminent mathematician G. Polya, How to Solve It shows anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can help you attack any problem that can be reasoned out—from building a bridge to winning a game of anagrams. How to Solve It includes a heuristic dictionary with dozens of entries on how to make problems more manageable—from analogy and induction to the heuristic method of starting with a goal and working backward to something you already know. This disarmingly elementary book explains how to harness curiosity in the classroom, bring the inventive faculties of students into play, and experience the triumph of discovery. But it’s not just for the classroom. Generations of readers from all walks of life have relished Polya’s brilliantly deft instructions on stripping away irrelevancies and going straight to the heart of a problem. |
discovering geometry an investigative approach book: Probability Theory , 2013 Probability theory |
discovering geometry an investigative approach book: Teaching Mathematics in Grades 6 - 12 Randall E. Groth, 2012-08-10 A journey into the vibrant and intriguing world of mathematics education Teaching Mathematics in Grades 6 - 12 explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows secondary mathematics teachers the value of being a researcher in the classroom by constantly experimenting with methods for developing students′ mathematical thinking and then connecting this research to practices that enhance students′ understanding of the material. The chapters in Part I introduce secondary teachers to the field of mathematics education with cross-cutting issues that apply to teaching and learning in all mathematics content areas. The chapters in Part II are devoted to specific mathematics content strands and describe how students think about mathematical concepts. The goal of the text is to have secondary math teachers gain a deeper understanding of the types of mathematical knowledge their students bring to grade 6 – 12 classrooms, and how students′ thinking may develop in response to different teaching strategies. |
discovering geometry an investigative approach book: Geometry John Tabak, 2014-05-14 Greek ideas about geometry, straight-edge and compass constructions, and the nature of mathematical proof dominated mathematical thought for about 2,000 years. |
discovering geometry an investigative approach book: Transforming the Workforce for Children Birth Through Age 8 National Research Council, Institute of Medicine, Board on Children, Youth, and Families, Committee on the Science of Children Birth to Age 8: Deepening and Broadening the Foundation for Success, 2015-07-23 Children are already learning at birth, and they develop and learn at a rapid pace in their early years. This provides a critical foundation for lifelong progress, and the adults who provide for the care and the education of young children bear a great responsibility for their health, development, and learning. Despite the fact that they share the same objective - to nurture young children and secure their future success - the various practitioners who contribute to the care and the education of children from birth through age 8 are not acknowledged as a workforce unified by the common knowledge and competencies needed to do their jobs well. Transforming the Workforce for Children Birth Through Age 8 explores the science of child development, particularly looking at implications for the professionals who work with children. This report examines the current capacities and practices of the workforce, the settings in which they work, the policies and infrastructure that set qualifications and provide professional learning, and the government agencies and other funders who support and oversee these systems. This book then makes recommendations to improve the quality of professional practice and the practice environment for care and education professionals. These detailed recommendations create a blueprint for action that builds on a unifying foundation of child development and early learning, shared knowledge and competencies for care and education professionals, and principles for effective professional learning. Young children thrive and learn best when they have secure, positive relationships with adults who are knowledgeable about how to support their development and learning and are responsive to their individual progress. Transforming the Workforce for Children Birth Through Age 8 offers guidance on system changes to improve the quality of professional practice, specific actions to improve professional learning systems and workforce development, and research to continue to build the knowledge base in ways that will directly advance and inform future actions. The recommendations of this book provide an opportunity to improve the quality of the care and the education that children receive, and ultimately improve outcomes for children. |
discovering geometry an investigative approach book: Qualitative Research from Start to Finish, First Edition Robert K. Yin, 2011-09-26 This lively, practical text presents a fresh and comprehensive approach to doing qualitative research. The book offers a unique balance of theory and clear-cut choices for customizing every phase of a qualitative study. A scholarly mix of classic and contemporary studies from multiple disciplines provides compelling, field-based examples of the full range of qualitative approaches. Readers learn about adaptive ways of designing studies, collecting data, analyzing data, and reporting findings. Key aspects of the researcher's craft are addressed, such as fieldwork options, the five phases of data analysis (with and without using computer-based software), and how to incorporate the researcher's “declarative” and “reflective” selves into a final report. Ideal for graduate-level courses, the text includes:* Discussions of ethnography, grounded theory, phenomenology, feminist research, and other approaches.* Instructions for creating a study bank to get a new study started.* End-of-chapter exercises and a semester-long, field-based project.* Quick study boxes, research vignettes, sample studies, and a glossary.* Previews for sections within chapters, and chapter recaps.* Discussion of the place of qualitative research among other social science methods, including mixed methods research. |
discovering geometry an investigative approach book: Pirate Math Michael Serra, 2014-02-25 Ahoy matey! Fear not mathematics. Build ye thinking skills, learn ye coordinates, and a smarter pirate ye will be! Michael Serra combines the challenge of mathematics with the fun adventure of pirates and buried treasure. Play the Buried Treasure game using a rectangle coordinate plane, a polar coordinate system, a spherical surface, and with three-dimensional areas. Use the chapter on cryptography to help solve hidden messages to uncover the pirate loot. Take a journey to sun-drenched tropical islands in search of pirate booty. With a map in your hand, follow clues and solve puzzles, developing your mathematical reasoning skills along the way. Argh, what glorious adventures, the thrill of using math to find pirate treasure! |
discovering geometry an investigative approach book: Algebra , 1993 |
discovering geometry an investigative approach book: Discovering Geometry Abby Tanenbaum, Michael Serra, Key Curriculum Press, Stacey Miceli, 2003 |
discovering geometry an investigative approach book: Scale Geoffrey West, 2018-05-15 This is science writing as wonder and as inspiration. —The Wall Street Journal Wall Street Journal From one of the most influential scientists of our time, a dazzling exploration of the hidden laws that govern the life cycle of everything from plants and animals to the cities we live in. Visionary physicist Geoffrey West is a pioneer in the field of complexity science, the science of emergent systems and networks. The term “complexity” can be misleading, however, because what makes West’s discoveries so beautiful is that he has found an underlying simplicity that unites the seemingly complex and diverse phenomena of living systems, including our bodies, our cities and our businesses. Fascinated by aging and mortality, West applied the rigor of a physicist to the biological question of why we live as long as we do and no longer. The result was astonishing, and changed science: West found that despite the riotous diversity in mammals, they are all, to a large degree, scaled versions of each other. If you know the size of a mammal, you can use scaling laws to learn everything from how much food it eats per day, what its heart-rate is, how long it will take to mature, its lifespan, and so on. Furthermore, the efficiency of the mammal’s circulatory systems scales up precisely based on weight: if you compare a mouse, a human and an elephant on a logarithmic graph, you find with every doubling of average weight, a species gets 25% more efficient—and lives 25% longer. Fundamentally, he has proven, the issue has to do with the fractal geometry of the networks that supply energy and remove waste from the organism’s body. West’s work has been game-changing for biologists, but then he made the even bolder move of exploring his work’s applicability. Cities, too, are constellations of networks and laws of scalability relate with eerie precision to them. Recently, West has applied his revolutionary work to the business world. This investigation has led to powerful insights into why some companies thrive while others fail. The implications of these discoveries are far-reaching, and are just beginning to be explored. Scale is a thrilling scientific adventure story about the elemental natural laws that bind us together in simple but profound ways. Through the brilliant mind of Geoffrey West, we can envision how cities, companies and biological life alike are dancing to the same simple, powerful tune. |
discovering geometry an investigative approach book: Precalculus David Lippman, Melonie Rasmussen, 2017-06-26 The first half of the second edition of Precalculus: An Investigation of Functions. This is an open textbook, available free online. This first portion of the book (Chapters 1-4) is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus. |
discovering geometry an investigative approach book: Practical Research Paul D. Leedy, Jeanne Ellis Ormrod, 2013 Written in uncommonly engaging and elegant prose, this text guides the reader, step-by-step, from the selection of a problem, through the process of conducting authentic research, to the preparation of a completed report, with practical suggestions based on a solid theoretical framework and sound pedagogy. Suitable as the core text in any introductory research course or even for self-instruction, this text will show students two things: 1) that quality research demands planning and design; and, 2) how their own research projects can be executed effectively and professionally--Publishers Description. |
discovering geometry an investigative approach book: Sophie's World Jostein Gaarder, 1994 The protagonists are Sophie Amundsen, a 14-year-old girl, and Alberto Knox, her philosophy teacher. The novel chronicles their metaphysical relationship as they study Western philosophy from its beginnings to the present. A bestseller in Norway. |
discovering geometry an investigative approach book: Discovering Mathematics Richard N. Aufmann, 2019 |
discovering geometry an investigative approach book: Mindstorms Seymour A Papert, 2020-10-06 In this revolutionary book, a renowned computer scientist explains the importance of teaching children the basics of computing and how it can prepare them to succeed in the ever-evolving tech world. Computers have completely changed the way we teach children. We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers. Technology changes every day, but the basic ways that computers can help us learn remain. For thousands of teachers and parents who have sought creative ways to help children learn with computers, Mindstorms is their bible. |
discovering geometry an investigative approach book: Discovering Geometry Michael Serra, 2003 |
discovering geometry an investigative approach book: Geometry Maureen T. Carroll, Elyn Rykken, 2018 Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered--which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries--these two objects are analyzed and high. |
discovering geometry an investigative approach book: Discovering Mathematics , 2004 |
discovering geometry an investigative approach book: Discovering Geometry , 1990 Teachers Guide to accompany student text. Includes Cooperative Learning Suggestions;Course Outlines;Lesson Guides; Answers Keys; Conjectures, Postulates and Theorems; and a glossary. |
discovering geometry an investigative approach book: Discovering Geometry Serra, 2011-08-01 |
discovering geometry an investigative approach book: Teaching Secondary Mathematics David Rock, Douglas K. Brumbaugh, 2013-02-15 Solidly grounded in up-to-date research, theory and technology, Teaching Secondary Mathematics is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers, and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fourth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and comprehensive companion website offers expanded discussion of chapter topics, additional examples and technological tips. Each chapter features tried-and-tested pedagogical techniques, problem solving challenges, discussion points, activities, mathematical challenges, and student-life based applications that will encourage students to think and do. New to the 4th edition: A fully revised and updated chapter on technological advancements in the teaching of mathematics Connections to both the updated NCTM Focal Points as well as the new Common Core State Standards are well-integrated throughout the text Problem solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutions. A fresh interior design to better highlight pedagogical elements and key features A companion website with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, helpful links and resources, and embedded graphing calculators. |
Meaning of discovering in English - Cambridge Dictionary
DISCOVERING meaning: 1. present participle of discover 2. to find information, a place, or an object, especially for the…. Learn more.
DISCOVERING Synonyms: 147 Similar and Opposite Words ...
Synonyms for DISCOVERING: realizing, learning, seeing, hearing, finding, ascertaining, finding out, getting on (to); Antonyms of DISCOVERING: missing, ignoring, overlooking, disregarding, …
107 Synonyms & Antonyms for DISCOVERING - Thesaurus.com
Find 107 different ways to say DISCOVERING, along with antonyms, related words, and example sentences at Thesaurus.com.
discover verb - Definition, pictures, pronunciation and usage ...
Definition of discover verb in Oxford Advanced American Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
Discovering - definition of discovering by The Free Dictionary
1. to be the first to find or find out about: Fleming discovered penicillin. 2. to learn about or encounter for the first time; realize: she discovered the pleasures of wine. 3. to find after study …
Discover Definition & Meaning | Britannica Dictionary
Scientists claim to have discovered [= found] a new way of controlling high blood pressure. It took her several weeks to discover the solution. The autopsy discovered [= revealed, uncovered] …
Discover - Definition, Meaning & Synonyms | Vocabulary.com
When you discover something, it can be by surprise or the result of a search. You might discover the fact that your dad used to travel with the circus as a trapeze artist or discover a band none …
DISCOVER Synonyms: 146 Similar and Opposite Words | Merriam ...
Some common synonyms of discover are ascertain, determine, learn, and unearth. While all these words mean "to find out what one did not previously know," discover may apply to something …
What does discovering mean? - Definitions.net
With reference to sciences and academic disciplines, discovery is the observation of new phenomena, new actions, or new events and providing new reasoning to explain the …
discover | meaning of discover in Longman Dictionary of ...
discover meaning, definition, what is discover: to find someone or something, either by ...: Learn more.
Meaning of discovering in English - Cambridge Dictionary
DISCOVERING meaning: 1. present participle of discover 2. to find information, a place, or an object, especially for the…. Learn more.
DISCOVERING Synonyms: 147 Similar and Opposite Words ...
Synonyms for DISCOVERING: realizing, learning, seeing, hearing, finding, ascertaining, finding out, getting on (to); Antonyms of DISCOVERING: missing, ignoring, overlooking, disregarding, …
107 Synonyms & Antonyms for DISCOVERING - Thesaurus.com
Find 107 different ways to say DISCOVERING, along with antonyms, related words, and example sentences at Thesaurus.com.
discover verb - Definition, pictures, pronunciation and usage ...
Definition of discover verb in Oxford Advanced American Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
Discovering - definition of discovering by The Free Dictionary
1. to be the first to find or find out about: Fleming discovered penicillin. 2. to learn about or encounter for the first time; realize: she discovered the pleasures of wine. 3. to find after study …
Discover Definition & Meaning | Britannica Dictionary
Scientists claim to have discovered [= found] a new way of controlling high blood pressure. It took her several weeks to discover the solution. The autopsy discovered [= revealed, uncovered] …
Discover - Definition, Meaning & Synonyms | Vocabulary.com
When you discover something, it can be by surprise or the result of a search. You might discover the fact that your dad used to travel with the circus as a trapeze artist or discover a band none of …
DISCOVER Synonyms: 146 Similar and Opposite Words | Merriam ...
Some common synonyms of discover are ascertain, determine, learn, and unearth. While all these words mean "to find out what one did not previously know," discover may apply to something …
What does discovering mean? - Definitions.net
With reference to sciences and academic disciplines, discovery is the observation of new phenomena, new actions, or new events and providing new reasoning to explain the knowledge …
discover | meaning of discover in Longman Dictionary of ...
discover meaning, definition, what is discover: to find someone or something, either by ...: Learn more.