The Multifaceted Nature Of Creativity In The Teaching Of Geometry

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The Multifaceted Nature Of Creativity In The Teaching Of Geometry

Author : Dorit Patkin
Publisher : World Scientific
ISBN 13 : 9811218765
Total Pages : 368 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis The Multifaceted Nature Of Creativity In The Teaching Of Geometry by : Dorit Patkin

Download or read book The Multifaceted Nature Of Creativity In The Teaching Of Geometry written by Dorit Patkin and published by World Scientific. This book was released on 2020-09-24 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry is one of the most ancient branches of mathematics. In order to 'understand geometry', learners should be able to infer in a deductive way as well as be endowed with enhanced visual competences. These prerequisites render plane geometry and solid geometry challenging for both teaching and learning. Hence, it is essential to consider creative ways for teaching the various branches of geometry in order to respond to the varied difficulties, while fostering deductive thinking and visual competences.This book aims to provide readers with a broad knowledge of the various aspects of creativity and its assessment and to expose them to creative methods and approaches to the teaching of geometry. The content of the book is grounded in the research literature that engages in creativity in general and in creativity in teaching in particular.The chapters collected in the book present the multifaceted nature of geometry teaching in a creative-integrated way while exposing the readers to the beauty of geometry.

Creativity in Mathematics and the Education of Gifted Students

Author : Roza Leikin
Publisher : BRILL
ISBN 13 : 9087909357
Total Pages : 419 pages
Book Rating : 4.0/5 (879 download)

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Book Synopsis Creativity in Mathematics and the Education of Gifted Students by : Roza Leikin

Download or read book Creativity in Mathematics and the Education of Gifted Students written by Roza Leikin and published by BRILL. This book was released on 2009-01-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book breaks through in the field of mathematical creativity and giftedness. It suggests directions for closing the gap between research in the field of mathematics education and research in the field of creativity and giftedness. It also outlines a research agenda for further research and development in the field.

Creativity and Technology in Mathematics Education

Author : Viktor Freiman
Publisher : Springer
ISBN 13 : 3319723812
Total Pages : 561 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Creativity and Technology in Mathematics Education by : Viktor Freiman

Download or read book Creativity and Technology in Mathematics Education written by Viktor Freiman and published by Springer. This book was released on 2018-09-03 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.

From Analysis to Visualization

Author : David H. Bailey
Publisher : Springer Nature
ISBN 13 : 3030365689
Total Pages : 447 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis From Analysis to Visualization by : David H. Bailey

Download or read book From Analysis to Visualization written by David H. Bailey and published by Springer Nature. This book was released on 2020-03-16 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 –29 September 2017 at Noah’s On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire whose untimely passing in August 2016 was a sorry loss to mathematics and to so many members of its community, a loss that continues to be keenly felt. A polymath, Jonathan Borwein ranks among the most wide ranging and influential mathematicians of the last 50 years, making significant contributions to an exceptional diversity of areas and substantially expanding the use of the computer as a tool of the research mathematician. The contributions in this commemorative volume probe Dr. Borwein's ongoing legacy in areas where he did some of his most outstanding work: Applied Analysis, Optimization and Convex Functions; Mathematics Education; Financial Mathematics; plus Number Theory, Special Functions and Pi, all tinged by the double prisms of Experimental Mathematics and Visualization, methodologies he championed.

Math Makes Sense!

Author : Ana Helvia Quintero
Publisher : World Scientific
ISBN 13 : 1783268662
Total Pages : 292 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Math Makes Sense! by : Ana Helvia Quintero

Download or read book Math Makes Sense! written by Ana Helvia Quintero and published by World Scientific. This book was released on 2016-03-02 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics. Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding. The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers. Contents:PrefaceAcknowledgmentsAbout the AuthorsFostering the Learning of MathematicsConstruction of Concepts and Mathematical InterpretationsNumberingAddition and SubtractionMultiplication and DivisionFractions, Decimals, and PercentagesMeasurementExploring SpaceProbability and StatisticsPatterns, Relations, and FunctionsThe Joy of PuzzlesTechnology: A Tool for Analysis and InterpretationAssessmentConcluding Remarks Readership: Teachers, trainee teachers, researchers interested in mathematics education, homeschool parents, and parents with children in primary/ elementary school. Key Features:This book is grounded on solid mathematics learning research, as well as on the authors' own observations in the classroom, and so combines theoretical knowledge with practiceWritten in an accessible mannerGives educators ideas which they can easily implement in the classroom

Perspectives on the Teaching of Geometry for the 21st Century

Author : C. Mammana
Publisher : Springer Science & Business Media
ISBN 13 : 9401152268
Total Pages : 353 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Perspectives on the Teaching of Geometry for the 21st Century by : C. Mammana

Download or read book Perspectives on the Teaching of Geometry for the 21st Century written by C. Mammana and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.

How Learning Works

Author : Susan A. Ambrose
Publisher : John Wiley & Sons
ISBN 13 : 0470617608
Total Pages : 336 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis How Learning Works by : Susan A. Ambrose

Download or read book How Learning Works written by Susan A. Ambrose and published by John Wiley & Sons. This book was released on 2010-04-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for How Learning Works "How Learning Works is the perfect title for this excellent book. Drawing upon new research in psychology, education, and cognitive science, the authors have demystified a complex topic into clear explanations of seven powerful learning principles. Full of great ideas and practical suggestions, all based on solid research evidence, this book is essential reading for instructors at all levels who wish to improve their students' learning." —Barbara Gross Davis, assistant vice chancellor for educational development, University of California, Berkeley, and author, Tools for Teaching "This book is a must-read for every instructor, new or experienced. Although I have been teaching for almost thirty years, as I read this book I found myself resonating with many of its ideas, and I discovered new ways of thinking about teaching." —Eugenia T. Paulus, professor of chemistry, North Hennepin Community College, and 2008 U.S. Community Colleges Professor of the Year from The Carnegie Foundation for the Advancement of Teaching and the Council for Advancement and Support of Education "Thank you Carnegie Mellon for making accessible what has previously been inaccessible to those of us who are not learning scientists. Your focus on the essence of learning combined with concrete examples of the daily challenges of teaching and clear tactical strategies for faculty to consider is a welcome work. I will recommend this book to all my colleagues." —Catherine M. Casserly, senior partner, The Carnegie Foundation for the Advancement of Teaching "As you read about each of the seven basic learning principles in this book, you will find advice that is grounded in learning theory, based on research evidence, relevant to college teaching, and easy to understand. The authors have extensive knowledge and experience in applying the science of learning to college teaching, and they graciously share it with you in this organized and readable book." —From the Foreword by Richard E. Mayer, professor of psychology, University of California, Santa Barbara; coauthor, e-Learning and the Science of Instruction; and author, Multimedia Learning

Current Index to Journals in Education

Author :
Publisher :
ISBN 13 :
Total Pages : 908 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Current Index to Journals in Education by :

Download or read book Current Index to Journals in Education written by and published by . This book was released on 1998 with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Creativity and Giftedness

Author : Roza Leikin
Publisher : Springer
ISBN 13 : 3319388401
Total Pages : 266 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Creativity and Giftedness by : Roza Leikin

Download or read book Creativity and Giftedness written by Roza Leikin and published by Springer. This book was released on 2016-08-24 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides readers with a broad view on the variety of issues related to the educational research and practices in the field of Creativity in Mathematics and Mathematical Giftedness. The book explores (a) the relationship between creativity and giftedness; (b) empirical work with high ability (or gifted) students in the classroom and its implications for teaching mathematics; (c) interdisciplinary work which views creativity as a complex phenomena that cannot be understood from within the borders of disciplines, i.e., to present research and theorists from disciplines such as neuroscience and complexity theory; and (d) findings from psychology that pertain the creatively gifted students. As a whole, this volume brings together perspectives from mathematics educators, psychologists, neuroscientists, and teachers to present a collection of empirical, theoretical and philosophical works that address the complexity of mathematical creativity and giftedness, its origins, nature, nurture and ways forward. In keeping with the spirit of the series, the anthology substantially builds on previous ZDM volumes on interdisciplinarity (2009), creativity and giftedness (2013).

Thinking Matters: Critical Thinking As Creative Problem Solving

Author : Gary R Mar
Publisher : World Scientific
ISBN 13 : 9811216266
Total Pages : 232 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Thinking Matters: Critical Thinking As Creative Problem Solving by : Gary R Mar

Download or read book Thinking Matters: Critical Thinking As Creative Problem Solving written by Gary R Mar and published by World Scientific. This book was released on 2021-08-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ancient Roman orator Horace (65 B.C.-8 B.C.) wrote, 'Control your mind or it will control you.' In today's society we are faced with more information, and more complex information, than ever. Faced with making decisions, we can feel overwhelmed and helpless. One way to become less helpless — to gain control over our lives — is to gain control over our own thinking. We can feel helpless when faced with this barrage of information, opinions, data, and conflicting arguments if we lack the skills to quickly grasp and critically evaluate them. This book is designed to impart these kinds of skills.Any course in a university should do more than teach information — in nearly every field, 'facts' become obsolete quickly. The goals of Thinking Matters are to help you: The text is punctuated with exercises or 'personal experiments' to challenge and stimulate your curiosity. These exercises may take the form of an inventory to be taken, a puzzle to be solved, or some thoughts to ponder.The first module Thinking Matters: Critical Thinking as Creative Problem Solving introduces the student to all the above topics — logic, probability, argument forms and fallacies, ethical reasoning, algorithms, and computational thinking — through logic puzzles and games and mathematical magic tricks.

Uses of Technology in Upper Secondary Mathematics Education

Author : Stephen Hegedus
Publisher : Springer
ISBN 13 : 3319426117
Total Pages : 36 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Uses of Technology in Upper Secondary Mathematics Education by : Stephen Hegedus

Download or read book Uses of Technology in Upper Secondary Mathematics Education written by Stephen Hegedus and published by Springer. This book was released on 2016-11-02 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelations between mathematical activities and technology, skills and competencies that must be developed in teacher education. Research shows that the use of some technologies may deeply change the solving processes and contribute to impact the learning processes. The questions are which technologies to choose for which purposes, and how to integrate them, so as to maximize all students’ agency. In particular the role of the teacher in classrooms and the content of teacher education programs are critical for taking full advantage of technology in teaching practice.

Creativity and Education

Author : Anne Harris
Publisher : Springer
ISBN 13 : 1137572248
Total Pages : 156 pages
Book Rating : 4.1/5 (375 download)

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Book Synopsis Creativity and Education by : Anne Harris

Download or read book Creativity and Education written by Anne Harris and published by Springer. This book was released on 2016-06-15 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book advances an environmental approach to enhancing creativity in schools, by interweaving educational creativity theory with creative industries environmental approaches. Using Anna Craft’s last book Creativity and Education Futures as a starting point, the book sets out an up-to-date argument for why education policy should be supporting a birth-to-workplace approach to developing creative skills and capacities that extends across the education lifespan. The book also draws on the voices of school teachers, students and leaders who suggest directions for the next generation of creative teachers and learners in a rapidly evolving global education landscape. Overall, the book argues that secondary schools must find a way to make more room for creative risk, innovation and imagination in order to adequately prepare students for creative workplaces and publics.

Compendium for Early Career Researchers in Mathematics Education

Author : Gabriele Kaiser
Publisher : Springer
ISBN 13 : 3030156362
Total Pages : 532 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Compendium for Early Career Researchers in Mathematics Education by : Gabriele Kaiser

Download or read book Compendium for Early Career Researchers in Mathematics Education written by Gabriele Kaiser and published by Springer. This book was released on 2019-04-26 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Important Mathematics Education Themes, Academic Writing and Academic Publishing, and a section Looking Ahead. The chapters are based on workshops that were presented in the Early Career Researcher Day at the 13th International Congress on Mathematical Education (ICME-13). The combination of presentations on methodological approaches and theoretical perspectives shaping the field in mathematics education research, as well as the strong emphasis on academic writing and publishing, offered strong insight into the theoretical and empirical bases of research in mathematics education for early career researchers in this field. Based on these presentations, the book provides a state-of-the-art overview of important theories from mathematics education and the broad variety of empirical approaches currently widely used in mathematics education research. This compendium supports early career researchers in selecting adequate theoretical approaches and adopting the most appropriate methodological approaches for their own research. Furthermore, it helps early career researchers in mathematics education to avoid common pitfalls and problems while writing up their research and it provides them with an overview of the most important journals for research in mathematics education, helping them to select the right venue for publishing and disseminating their work.

Transforming the Workforce for Children Birth Through Age 8

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309324882
Total Pages : 706 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Transforming the Workforce for Children Birth Through Age 8 by : National Research Council

Download or read book Transforming the Workforce for Children Birth Through Age 8 written by National Research Council and published by National Academies Press. This book was released on 2015-07-23 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Aesthetics of Interdisciplinarity: Art and Mathematics

Author : Kristóf Fenyvesi
Publisher : Birkhäuser
ISBN 13 : 3319572598
Total Pages : 290 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Aesthetics of Interdisciplinarity: Art and Mathematics by : Kristóf Fenyvesi

Download or read book Aesthetics of Interdisciplinarity: Art and Mathematics written by Kristóf Fenyvesi and published by Birkhäuser. This book was released on 2017-11-28 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge. The articles included highlight the most significant current ideas and phenomena, providing a multifaceted and extensive snapshot of the field and indicating how interdisciplinary approaches are applied in the research of various cultural and artistic phenomena. The discussions are related, for example, to the fields of aesthetics, anthropology, art history, art theory, artistic practice, cultural studies, ethno-mathematics, geometry, mathematics, new physics, philosophy, physics, study of visual illusions, and symmetry studies. Further, the book introduces a new concept: the interdisciplinary aesthetics of mathematical art, which the editors use to explain the manifold nature of the aesthetic principles intertwined in these discussions.

Learning to Think Spatially

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309092086
Total Pages : 333 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Learning to Think Spatially by : National Research Council

Download or read book Learning to Think Spatially written by National Research Council and published by National Academies Press. This book was released on 2005-02-03 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning to Think Spatially examines how spatial thinking might be incorporated into existing standards-based instruction across the school curriculum. Spatial thinking must be recognized as a fundamental part of Kâ€"12 education and as an integrator and a facilitator for problem solving across the curriculum. With advances in computing technologies and the increasing availability of geospatial data, spatial thinking will play a significant role in the information-based economy of the twenty-first century. Using appropriately designed support systems tailored to the Kâ€"12 context, spatial thinking can be taught formally to all students. A geographic information system (GIS) offers one example of a high-technology support system that can enable students and teachers to practice and apply spatial thinking in many areas of the curriculum.

Encyclopedia of Mathematics Education

Author : Stephen Lerman
Publisher : Springer
ISBN 13 : 9783030157883
Total Pages : 916 pages
Book Rating : 4.1/5 (578 download)

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Book Synopsis Encyclopedia of Mathematics Education by : Stephen Lerman

Download or read book Encyclopedia of Mathematics Education written by Stephen Lerman and published by Springer. This book was released on 2020-02-07 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.