Creativity of an Aha! Moment and Mathematics Education
Title | Creativity of an Aha! Moment and Mathematics Education PDF eBook |
Author | |
Publisher | BRILL |
Total Pages | 491 |
Release | 2021-05-25 |
Genre | Education |
ISBN | 9004446435 |
Creativity of an Aha!Moment and Mathematics Education introduces bisociation, the theory of Aha! moment creativity into Mathematics Education. It establishes relationships between bisociation and constructivist theories of learning laying down the basis for the new theory integrating creativity with learning.
Ongoing Advancements in Philosophy of Mathematics Education
Title | Ongoing Advancements in Philosophy of Mathematics Education PDF eBook |
Author | Maria Aparecida Viggiani Bicudo |
Publisher | Springer Nature |
Total Pages | 492 |
Release | 2023-11-01 |
Genre | Education |
ISBN | 3031352092 |
Ongoing Advancements in Philosophy of Mathematics Education approaches the philosophy of mathematics education in a forward movement, analyzing, reflecting, and proposing significant contemporary themes in the field of mathematics education. The theme that gives life to the book is philosophy of mathematics education understood as arising from the intertwining between philosophy of mathematics and philosophy of education which, through constant analytical and reflective work regarding teaching and learning practices in mathematics, is materialized in its own discipline, philosophy of mathematics education. This is the field of investigation of the chapters in the book. The chapters are written by an international cohort of authors, from a variety of countries, regions, and continents. Some of these authors work with philosophical and psychological foundations traditionally accepted by Western civilization. Others expose theoretical foundations based on a new vision and comprising innovative approaches to historical and present-day issues in educational philosophy. The final third of the book is devoted to these unique and innovative research stances towards important and change resistant societal topics such as racism, technology gaps, or the promotion of creativity in the field of mathematics education.
Creativity and Innovation for a Better World
Title | Creativity and Innovation for a Better World PDF eBook |
Author | Diana Dias |
Publisher | BoD – Books on Demand |
Total Pages | 218 |
Release | 2023-10-11 |
Genre | Psychology |
ISBN | 1837688672 |
Today more than ever, our world needs creativity and innovation as key pillars to drive growth, face challenges, and stand out in a competitive and demanding world. It has become pressing to reflect on how creativity and innovation can be fostered in society, especially among the younger generation who will be the protagonists of inevitable changes in the future. This book focuses on the intrinsic and fruitful link between creativity and innovation. It encompasses a set of reflections, experiences, and insights on how these two concepts become effective levers of each other. It also focuses on how to foster creativity and innovation in people, organizations, and communities, as well as how creativity and innovation can effectively make a difference for the better in a world that increasingly needs new and innovative solutions to increasingly complex problems. From diverse cultures and scientific fields and dissimilar research methodologies, the contributions that make up this book present an integrated approach to creativity and innovation as central concepts to contribute to a better society and better world. We believe that creativity and innovation are indeed the forces that drive progress, expression, and discovery. Investing in them is investing in a better, more balanced, and sustainable world.
The Creative Enterprise of Mathematics Teaching Research
Title | The Creative Enterprise of Mathematics Teaching Research PDF eBook |
Author | Bronislaw Czarnocha |
Publisher | Springer |
Total Pages | 538 |
Release | 2016-07-28 |
Genre | Education |
ISBN | 9463005498 |
The Creative Enterprise of Mathematics Teaching Research presents the results and methodology of work of the teaching-research community of practice of the Bronx (TR Team of the Bronx). It has a twofold aim of impacting both teachers of Mathematics and researchers in Mathematics Education. This volume can be used by teachers of mathematics who want to use research to reflect upon and to improve their teaching craft, as well as by researchers who are interested in uncovering riches of classroom learning/teaching for research investigations. This book represents the results of a collaboration of instructors discussing their own instruction research, analyzed through a conceptual framework obtained via the synthesis of creativity research and educational learning theories, based upon the work of Piaget and Vygotsky. The editors see an urgent need for creative synthesis of research and teaching, an example of which is presented in the book. Two central themes of the book are the methodology of TR/NYCity model and creativity, more precisely, creativity of the Aha moment formulated by Arthur Koestler (1964) in a very profound but little known theory of bisociation exposed in his work “The Act of Creation”. Incorporation of the theory of bisociation into classroom teaching of mathematics provides the key to enable students who may struggle with mathematics to engage their own creativity, become involved in their learning process and thus reach their full potential of excellence. Creativity in teaching remedial mathematics is teaching gifted students how to access their own giftedness.
Proceedings of the 13th International Congress on Mathematical Education
Title | Proceedings of the 13th International Congress on Mathematical Education PDF eBook |
Author | Gabriele Kaiser |
Publisher | Springer |
Total Pages | 766 |
Release | 2017-10-31 |
Genre | Education |
ISBN | 3319625977 |
This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.
Aha!
Title | Aha! PDF eBook |
Author | William Braxton Irvine |
Publisher | |
Total Pages | 377 |
Release | 2015 |
Genre | Philosophy |
ISBN | 0199338876 |
Great ideas often develop gradually after studying a problem at length--but not always. Sometimes, an insight hits like a bolt from the blue. For Archimedes, clarity struck while he was taking a bath. For Gustav Mahler, it came as the blades of his oars touched the water. And for Albert Einstein, it emerged while he was talking to a friend. Why do these moments of insight strike so suddenly? Why do they so often come to us when we are focused on something completely unrelated? And when great ideas "come to" us, where do they come from? In Aha!: The Moments of Insight that Shape Our World, philosopher William B. Irvine, author of A Guide to the Good Life and On Desire, explores these epiphanies, from the minor insights that strike us all daily, to the major realizations that alter the course of history. Focusing on aha moments as they take place in five different domains--religion, morality, science, math, and art--Irvine provides case studies that shed light on the different ways epiphanies happen in the different domains, and on their differing social impact. Along the way, he describes some of the great aha moments in history, from ancient times to the present day. We like to think that our greatest thoughts are the product of our conscious mind. Irvine demonstrates, though, that it is our unconscious mind that is the source of our most significant insights, and that the role the conscious mind plays in eliciting these insights is to try, unsuccessfully, to solve certain problems. Only if the conscious mind is willing to do this--and thereby experience considerable frustration--is the unconscious mind likely to reward it with a breakthrough insight-that the conscious mind will then take credit for. Irvine explores not only the neuroscience of aha moments but also their personal and social ramifications. How does a person respond to having a breakthrough insight that goes against a dominant paradigm? And how does the world respond when she shares that insight? Irvine shows that in many cases, what is most remarkable about those who have had the great insights of human history is not their but their courage and perseverance in fighting for the world to accept those insights. Aha! is a must-read for cognitive scientists, intellectual historians, philosophers, and anyone who has ever been blown away by the ideas that enlighten us when we least expect it.
The Eureka Factor
Title | The Eureka Factor PDF eBook |
Author | John Kounios |
Publisher | Random House |
Total Pages | 290 |
Release | 2015-04-14 |
Genre | Science |
ISBN | 0679645292 |
In a book perfect for readers of Charles Duhigg’s The Power of Habit, David Eagleman’s Incognito, and Leonard Mlodinow’s Subliminal, the cognitive neuroscientists who discovered how the brain has aha moments—sudden creative insights—explain how they happen, when we need them, and how we can have more of them to enrich our lives and empower personal and professional success. Eureka or aha moments are sudden realizations that expand our understanding of the world and ourselves, conferring both personal growth and practical advantage. Such creative insights, as psychological scientists call them, were what conveyed an important discovery in the science of genetics to Nobel laureate Barbara McClintock, the melody of a Beatles ballad to Paul McCartney, and an understanding of the cause of human suffering to the Buddha. But these moments of clarity are not given only to the famous. Anyone can have them. In The Eureka Factor, John Kounios and Mark Beeman explain how insights arise and what the scientific research says about stimulating more of them. They discuss how various conditions affect the likelihood of your having an insight, when insight is helpful and when deliberate methodical thought is better suited to a task, what the relationship is between insight and intuition, and how the brain’s right hemisphere contributes to creative thought. Written in a lively, engaging style, this book goes beyond scientific principles to offer productive techniques for realizing your creative potential—at home and at work. The authors provide compelling anecdotes to illustrate how eureka experiences can be a key factor in your life. Attend a dinner party with Christopher Columbus to learn why we need insights. Go to a baseball game with the director of a classic Disney Pixar movie to learn about one important type of aha moment. Observe the behind-the-scenes arrangements for an Elvis Presley concert to learn why the timing of insights is crucial. Accessible and compelling, The Eureka Factor is a fascinating look at the human brain and its seemingly infinite capacity to surprise us. Praise for The Eureka Factor “Delicious . . . In The Eureka Factor, neuroscientists John Kounios and Mark Beeman give many other examples of [a] kind of lightning bolt of insight, but back this up with the latest brain-imaging research.”—Newsweek “An incredible accomplishment . . . [The Eureka Factor] is not just a chronicle of the journey that numerous scientists (including the authors) have taken to examine insight but is also a fascinating guide to how advances in science are made in general. Messrs. Kounios and Beeman examine how a parade of clever experiments can be designed to answer specific questions and rule out alternative possibilities. . . . Wonderful ideas appear as if out of nowhere—and we are delighted.”—The Wall Street Journal “An excellent title for those interested in neuroscience or creativity . . . The writing is engaging and readable, mixing stories of famous perceptions with explanations of how such revelations happen.”—Library Journal (starred review) “A lively and accessible ‘brain’ book with wide appeal.”—Booklist “[An] ingenious, thoughtful update on how the mind works.”—Kirkus Reviews “The Eureka Factor presents a fascinating and illuminating account of the creative process and how to foster it.”—James J. Heckman, Nobel laureate in economics