Mathematical Creativity

Author : Florence Mihaela Singer
Publisher : Springer
Page : 428 pages
File Size : 55,6 Mb
Release : 2018-03-07
Category : Education
ISBN : 9783319731568

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Mathematical Creativity and Mathematical Giftedness by Florence Mihaela Singer Pdf

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.

Author : Loren Graham,Jean-Michel Kantor
Publisher : Harvard University Press
Page : 252 pages
File Size : 42,6 Mb
Release : 2009-03-31
Category : History
ISBN : 9780674032934

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Naming Infinity by Loren Graham,Jean-Michel Kantor Pdf

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.

Author : Scott A. Chamberlin,Peter Liljedahl,Miloš Savić
Publisher : Springer Nature
Page : 252 pages
File Size : 47,5 Mb
Release : 2022-11-30
Category : Education
ISBN : 9783031144745

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Mathematical Creativity by Scott A. Chamberlin,Peter Liljedahl,Miloš Savić Pdf

This book is important and makes a unique contribution in the field of mathematics education and creativity. The book comprises the most recent research by renowned international experts and scholars, as well as a comprehensive up to date literature review. The developmental lens applied to the research presented makes it unique in the field. Also, this book provides a discussion of future directions for research to complement what is already known in the field of mathematical creativity. Finally, a critical discussion of the importance of the literature in relation to development of learners and accordingly pragmatic applications for educators is provided. Many books provide the former (2) foci, but omit the final discussion of the research in relation to developmental needs of learners in the domain of mathematics. Currently, educators are expected to implement best practices and illustrate how their adopted approaches are supported by research. The authors and editors of this book have invested significant effort in merging theory with practice to further this field and develop it for future generations of mathematics learners, teachers and researchers.

Author : Peter Borwein,Peter Liljedahl,Helen Zhai
Publisher : American Mathematical Soc.
Page : 199 pages
File Size : 45,6 Mb
Release : 2018-09-06
Category : Mathematics
ISBN : 9781470448745

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Mathematicians on Creativity by Peter Borwein,Peter Liljedahl,Helen Zhai Pdf

This book aims to shine a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-caliber working mathematicians. In their own words, they discuss the art and practice of their work. This approach highlights creative components of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Mathematicians on Creativity is meant for a general audience and is probably best read by browsing.

Author : H. S. Wall
Publisher : American Mathematical Soc.
Page : 219 pages
File Size : 40,5 Mb
Release : 2006-12-31
Category : Mathematics
ISBN : 9780883857502

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Creative Mathematics by H. S. Wall Pdf

Professor H. S. Wall (1902-1971) developed Creative Mathematics over a period of many years of working with students at the University of Texas, Austin. His aim was to lead students to develop their mathematical abilities, to help them learn the art of mathematics, and to teach them to create mathematical ideas. This book, according to Wall, ``is not a compendium of mathematical facts and inventions to be read over as a connoisseur of art looks over paintings. It is, instead, a sketchbook in which readers try their hands at mathematical discovery.'' In less than two hundred pages, he takes the reader on a stimulating tour starting with numbers, and then moving on to simple graphs, the integral, simple surfaces, successive approximations, linear spaces of simple graphs, and concluding with mechanical systems. The book is self contained, and assumes little formal mathematical background on the part of the reader.

Author : Marcus Du Sautoy
Publisher : Harvard University Press
Page : 321 pages
File Size : 42,9 Mb
Release : 2020-03-03
Category : Computers
ISBN : 9780674244719

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The Creativity Code by Marcus Du Sautoy Pdf

“A brilliant travel guide to the coming world of AI.” —Jeanette Winterson What does it mean to be creative? Can creativity be trained? Is it uniquely human, or could AI be considered creative? Mathematical genius and exuberant polymath Marcus du Sautoy plunges us into the world of artificial intelligence and algorithmic learning in this essential guide to the future of creativity. He considers the role of pattern and imitation in the creative process and sets out to investigate the programs and programmers—from Deep Mind and the Flow Machine to Botnik and WHIM—who are seeking to rival or surpass human innovation in gaming, music, art, and language. A thrilling tour of the landscape of invention, The Creativity Code explores the new face of creativity and the mysteries of the human code. “As machines outsmart us in ever more domains, we can at least comfort ourselves that one area will remain sacrosanct and uncomputable: human creativity. Or can we?...In his fascinating exploration of the nature of creativity, Marcus du Sautoy questions many of those assumptions.” —Financial Times “Fascinating...If all the experiences, hopes, dreams, visions, lusts, loves, and hatreds that shape the human imagination amount to nothing more than a ‘code,’ then sooner or later a machine will crack it. Indeed, du Sautoy assembles an eclectic array of evidence to show how that’s happening even now.” —The Times

Author : Roza Leikin,Bharath Sriraman
Publisher : Springer
Page : 266 pages
File Size : 52,8 Mb
Release : 2016-08-24
Category : Education
ISBN : 9783319388403

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Creativity and Giftedness by Roza Leikin,Bharath Sriraman Pdf

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).

Author : B. Sriraman,Kyeong Hwa Lee
Publisher : Springer Science & Business Media
Page : 231 pages
File Size : 48,9 Mb
Release : 2011-07-23
Category : Education
ISBN : 9789460914393

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The Elements of Creativity and Giftedness in Mathematics by B. Sriraman,Kyeong Hwa Lee Pdf

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.

Author : Roza Leikin,Abraham Berman,Boris Koichu
Publisher : BRILL
Page : 419 pages
File Size : 40,6 Mb
Release : 2009-01-01
Category : Education
ISBN : 9789087909352

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Creativity in Mathematics and the Education of Gifted Students by Roza Leikin,Abraham Berman,Boris Koichu Pdf

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.

Author : Viktor Freiman,Janet Lynne Tassell
Publisher : Springer
Page : 561 pages
File Size : 49,6 Mb
Release : 2018-09-03
Category : Education
ISBN : 9783319723815

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Creativity and Technology in Mathematics Education by Viktor Freiman,Janet Lynne Tassell Pdf

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.

Author : Bharath Sriraman,Viktor Freiman,Nicole Lirette-Pitre
Publisher : IAP
Page : 261 pages
File Size : 45,7 Mb
Release : 2009-06-01
Category : Mathematics
ISBN : 9781607521884

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Interdisciplinarity, Creativity, and Learning by Bharath Sriraman,Viktor Freiman,Nicole Lirette-Pitre Pdf

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.

Author : Noraini Idris
Publisher : Utusan Publications
Page : 234 pages
File Size : 42,9 Mb
Release : 2005
Category : Cognitive learning
ISBN : 9676117870

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Teaching and Learning of mathematics by Noraini Idris Pdf

Author : Scott A. Chamberlin,Eric L. Mann
Publisher : Taylor & Francis
Page : 168 pages
File Size : 40,6 Mb
Release : 2021-09-03
Category : Education
ISBN : 9781000496499

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The Relationship of Affect and Creativity in Mathematics by Scott A. Chamberlin,Eric L. Mann Pdf

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.

Author : Marcel Danesi
Publisher : Springer Nature
Page : 1392 pages
File Size : 48,6 Mb
Release : 2022-10-31
Category : Mathematics
ISBN : 9783031039454

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Handbook of Cognitive Mathematics by Marcel Danesi Pdf

Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.

Author : Charles Tijus,Teen-hang Meen,Chun-yen Chang
Publisher : World Scientific
Page : 1004 pages
File Size : 44,9 Mb
Release : 2020-11-17
Category : Education
ISBN : 9789811228018

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Education And Awareness Of Sustainability - Proceedings Of The 3rd Eurasian Conference On Educational Innovation 2020 (Ecei 2020) by Charles Tijus,Teen-hang Meen,Chun-yen Chang Pdf

This volume represents the proceedings of the 3rd Eurasian Conference on Educational Innovation 2020 (ECEI 2020). Thes conference is organized by the International Institute of Knowledge Innovation and Invention (IIKII), and was held on February 5-7, 2020 in Hanoi, Vietnam.ECEI 2020 provides a unified communication platform for researchers in a range of topics in education innovation and other related fields. This proceedings volume enables interdisciplinary collaboration of science and engineering technologists. It is a fine starting point for establishing an international network in the academic and industrial fields.