Mathematical Creativity and Mathematical Giftedness

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Author :
Publisher : Springer
ISBN 13 : 3319731564
Total Pages : 428 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Mathematical Creativity and Mathematical Giftedness by : Florence Mihaela Singer

Download or read book Mathematical Creativity and Mathematical Giftedness written by Florence Mihaela Singer and published by Springer. This book was released on 2018-03-07 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the relationships between mathematical creativity and mathematical giftedness. It gathers the results of a literature review comprising all papers addressing mathematical creativity and giftedness presented at the International Congress on Mathematical Education (ICME) conferences since 2000. How can mathematical creativity contribute to children’s balanced development? What are the characteristics of mathematical giftedness in early ages? What about these characteristics at university level? What teaching strategies can enhance creative learning? How can young children’s mathematical promise be preserved and cultivated, preparing them for a variety of professions? These are some of the questions addressed by this book. The book offers, among others: analyses of substantial learning environments that promote creativity in mathematics lessons; discussions of a variety of strategies for posing and solving problems; investigations of students’ progress throughout their schooling; and examinations of technological tools and virtual resources meant to enhance learning with understanding. Multiple perspectives in the interdisciplinary fields of mathematical creativity and giftedness are developed to offer a springboard for further research. The theoretical and empirical studies included in the book offer a valuable resource for researchers, as well as for teachers of gifted students in specialized or inclusive settings, at various levels of education.

The Elements of Creativity and Giftedness in Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 946091439X
Total Pages : 231 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis The Elements of Creativity and Giftedness in Mathematics by : B. Sriraman

Download or read book The Elements of Creativity and Giftedness in Mathematics written by B. Sriraman and published by Springer Science & Business Media. This book was released on 2011-07-23 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Elements of Creativity and Giftedness in Mathematics edited by Bharath Sriraman and KyeongHwa Lee covers recent advances in mathematics education pertaining to the development of creativity and giftedness. The book is international in scope in the “sense” that it includes numerous studies on mathematical creativity and giftedness conducted in the U.S.A, China, Korea, Turkey, Israel, Sweden, and Norway in addition to cross-national perspectives from Canada and Russia. The topics include problem -posing, problem-solving and mathematical creativity; the development of mathematical creativity with students, pre and in-service teachers; cross-cultural views of creativity and giftedness; the unpacking of notions and labels such as high achieving, inclusion, and potential; as well as the theoretical state of the art on the constructs of mathematical creativity and giftedness. The book also includes some contributions from the first joint meeting of the American Mathematical Society and the Korean Mathematical Society in Seoul, 2009. Topics covered in the book are essential reading for graduate students and researchers interested in researching issues and topics within the domain of mathematical creativity and mathematical giftedness. It is also accessible to pre-service and practicing teachers interested in developing creativity in their classrooms, in addition to professional development specialists, mathematics educators, gifted educators, and psychologists.

Creativity and Giftedness

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Author :
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).

Creativity in Mathematics and the Education of Gifted Students

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Author :
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, Giftedness, and Talent Development in Mathematics

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Author :
Publisher : IAP
ISBN 13 : 160752838X
Total Pages : 313 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Creativity, Giftedness, and Talent Development in Mathematics by : Bharath Sriraman

Download or read book Creativity, Giftedness, and Talent Development in Mathematics written by Bharath Sriraman and published by IAP. This book was released on 2008-09-01 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our innovative spirit and creativity lies beneath the comforts and security of today's technologically evolved society. Scientists, inventors, investors, artists and leaders play a vital role in the advancement and transmission of knowledge. Mathematics, in particular, plays a central role in numerous professions and has historically served as the gatekeeper to numerous other areas of study, particularly the hard sciences, engineering and business. Mathematics is also a major component in standardized tests in the U.S., and in university entrance exams in numerous parts of world. Creativity and imagination is often evident when young children begin to develop numeric and spatial concepts, and explore mathematical tasks that capture their interest. Creativity is also an essential ingredient in the work of professional mathematicians. Yet, the bulk of mathematical thinking encouraged in the institutionalized setting of schools is focused on rote learning, memorization, and the mastery of numerous skills to solve specific problems prescribed by the curricula or aimed at standardized testing. Given the lack of research based perspectives on talent development in mathematics education, this monograph is specifically focused on contributions towards the constructs of creativity and giftedness in mathematics. This monograph presents new perspectives for talent development in the mathematics classroom and gives insights into the psychology of creativity and giftedness. The book is aimed at classroom teachers, coordinators of gifted programs, math contest coaches, graduate students and researchers interested in creativity, giftedness, and talent development in mathematics.

Research On and Activities For Mathematically Gifted Students

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Author :
Publisher : Springer
ISBN 13 : 3319394509
Total Pages : 41 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Research On and Activities For Mathematically Gifted Students by : Florence Mihaela Singer

Download or read book Research On and Activities For Mathematically Gifted Students written by Florence Mihaela Singer and published by Springer. This book was released on 2016-06-13 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access Topical Survey offers a brief overview of the current state of research on and activities for mathematically gifted students around the world. This is of interest to a broad readership, including educational researchers, research mathematicians, mathematics teachers, teacher educators, curriculum designers, doctoral students, and other stakeholders. It first discusses research concerning the nature of mathematical giftedness, including theoretical frameworks and methodologies that are helpful in identifying and/or creating mathematically gifted students, which is described in this section. It also focuses on research on and the development of mathematical talent and innovation in students, including connections between cognitive, social and affective aspects of mathematically gifted students. Exemplary teaching and learning practices, curricula and a variety of programs that contribute to the development of mathematical talent, gifts, and passion are described as well as the pedagogy and mathematics content suitable for educating pre-service and in-service teachers of mathematically gifted students. The final section provides a brief summary of the paper along with suggestions for the research, activities, and resources that should be available to support mathematically gifted students and their teachers, parents, and other stakeholders.

The Relationship of Affect and Creativity in Mathematics

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Author :
Publisher : Routledge
ISBN 13 : 100048971X
Total Pages : 147 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis The Relationship of Affect and Creativity in Mathematics by : Scott A. Chamberlin

Download or read book The Relationship of Affect and Creativity in Mathematics written by Scott A. Chamberlin and published by Routledge. This book was released on 2021-09-03 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Relationship of Affect and Creativity in Mathematics explores the five legs of creativity—Iconoclasm, Impartiality, Investment, Intuition, and Inquisitiveness—as they relate to mathematical giftedness. This book: Discusses these affective components relevant to mathematical learning experiences. Shares how affective components impact students' creative processes and products. Shows the influence of learning facilitators, including teachers, afterschool mentors, and parents. Describes facilitating environments that may enhance the likelihood that creative process and ultimately product emerge. Utilizes the expertise of two young scholars to discuss the practical effects of affect and creativity in learning experiences. This practical, research-based book is a must-read for stakeholders in gifted education, as many advanced students are underidentified in the area of creativity in mathematics.

Creativity and Technology in Mathematics Education

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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.

Problem Posing and Solving for Mathematically Gifted and Interested Students

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Author :
Publisher : Springer Nature
ISBN 13 : 3658410612
Total Pages : 234 pages
Book Rating : 4.6/5 (584 download)

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Book Synopsis Problem Posing and Solving for Mathematically Gifted and Interested Students by : Deniz Sarikaya

Download or read book Problem Posing and Solving for Mathematically Gifted and Interested Students written by Deniz Sarikaya and published by Springer Nature. This book was released on 2023-10-31 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and mathematics education research have an ongoing interest in improving our understanding of mathematical problem posing and solving. This book focuses on problem posing in a context of mathematical giftedness. The contributions particularly address where such problems come from, what properties they should have, and which differences between school mathematics and more complex kinds of mathematics exist. These perspectives are examined internationally, allowing for cross-national insights.

Naming Infinity

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Publisher : Harvard University Press
ISBN 13 : 0674032934
Total Pages : 252 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Naming Infinity by : Loren Graham

Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.

Interdisciplinarity, Creativity, and Learning

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Publisher : IAP
ISBN 13 : 1607521881
Total Pages : 261 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Interdisciplinarity, Creativity, and Learning by : Bharath Sriraman

Download or read book Interdisciplinarity, Creativity, and Learning written by Bharath Sriraman and published by IAP. This book was released on 2009-06-01 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interdisciplinarity is increasingly viewed as a necessary ingredient in the training of future oriented 21st century disciplines that rely on both analytic and synthetic abilities across disciplines. Nearly every curricular document or vision statement of schools and universities include a call for promoting creativity in students. Yet the construct of creativity and giftedness across disciplines remains elusive in the sense that the prototypical examples of such work come from eminent scientists, artists and mathematicians, and little if any work has been conducted with non-eminent individuals. This monograph is an attempt to fill this gap by putting forth the view that interdisciplinarity and creativity are related constructs, and that the cultivation of domain general creativity is possible. Mathematics has historically been anchored to numerous disciplines like theology, natural philosophy, culture and art, allowing for a flexibility of thought that is difficult to cultivate in other disciplines. In this monograph, the numerous chapters from Australia, U.S.A., Canada, Cyprus, Denmark and Japan provide a compelling illustration of the intricate connection of mathematics with literature, paradoxes, history, technology and modeling, thus serving as a conduit for interdisciplinarity, creativity and learning to occur.

Developing Research in Mathematics Education

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Author :
Publisher : Routledge
ISBN 13 : 1351625403
Total Pages : 22 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Developing Research in Mathematics Education by : Tommy Dreyfus

Download or read book Developing Research in Mathematics Education written by Tommy Dreyfus and published by Routledge. This book was released on 2018-04-27 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

Mathematical Problem Posing

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Author :
Publisher : Springer
ISBN 13 : 1461462584
Total Pages : 587 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematical Problem Posing by : Florence Mihaela Singer

Download or read book Mathematical Problem Posing written by Florence Mihaela Singer and published by Springer. This book was released on 2015-06-12 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. ​​

Including the Highly Gifted and Creative Students - Current Ideas and Future Directions

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Publisher :
ISBN 13 : 9783959871310
Total Pages : pages
Book Rating : 4.8/5 (713 download)

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Book Synopsis Including the Highly Gifted and Creative Students - Current Ideas and Future Directions by : Marianne Nolte

Download or read book Including the Highly Gifted and Creative Students - Current Ideas and Future Directions written by Marianne Nolte and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Extending the Challenge in Mathematics

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Publisher : Corwin Press
ISBN 13 : 148336609X
Total Pages : 160 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis Extending the Challenge in Mathematics by : Linda Jensen Sheffield

Download or read book Extending the Challenge in Mathematics written by Linda Jensen Sheffield and published by Corwin Press. This book was released on 2002-10-22 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide provides the practical tips and tools educators need to help their mathematically promising students develop their potential to the fullest.

Systems and Models for Developing Programs for the Gifted and Talented

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1000951405
Total Pages : 901 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Systems and Models for Developing Programs for the Gifted and Talented by : Joseph S. Renzulli

Download or read book Systems and Models for Developing Programs for the Gifted and Talented written by Joseph S. Renzulli and published by Taylor & Francis. This book was released on 2023-05-31 with total page 901 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now completely revised and expanded, Systems and Models for Developing Programs for the Gifted and Talented includes chapters on the major systems and models for developing programs for the gifted, including the Autonomous Learner Model, the Integrative Education Model, the Multiple Menu Model, the Purdue Three-Stage Model, the Schoolwide Enrichment Model, and Levels of Service. Forty-two experts in gifted education contributed to 25 chapters, and each chapter includes a discussion of the model, theoretical underpinnings, research on effectiveness, and considerations for implementations. Discussion questions follow each chapter. Chapters provide compact, yet comprehensive summaries of the major models developed by leaders in the field of gifted education.

Challenging Units for Gifted Learners

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Publisher : Routledge
ISBN 13 : 100049098X
Total Pages : 193 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Challenging Units for Gifted Learners by : Kenneth J. Smith

Download or read book Challenging Units for Gifted Learners written by Kenneth J. Smith and published by Routledge. This book was released on 2021-09-03 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gifted students have the potential to learn material earlier and faster, to handle more complexity and abstraction, and to solve complex problems better. This potential, however, needs stimulating experiences from home and school or it will not unfold. The books in the Challenging Units for Gifted Learners series are designed to help teachers provide the stimulating curricula that will nurture this potential in school. The units presented in this series are based on research into how these students actually think differently from their peers and how they use their learning styles and potential not merely to develop intellectual expertise, but to move beyond expertise to the production of new ideas. The Language Arts book includes units that ask students to develop strong personalities for their main characters while writing mysteries, to study Freud's psychoanalytic theory and then analyze a classic novel using what they've learned, to focus on writing from a specific point of view, and to increase their appreciation for poetry by studying famous poets. Grades 6-8