Mathematical Creativity
Mathematical Creativity

Author: Scott A. Chamberlin

Publisher: Springer Nature

Published: 2022-11-30

Total Pages: 252

ISBN-13: 3031144740

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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.

The Creative Self
The Creative Self

Author: Maciej Karwowski

Publisher: Academic Press

Published: 2017-02-22

Total Pages: 420

ISBN-13: 0128099054

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The Creative Self reviews and summarizes key theories, studies, and new ideas about the role and significance self-beliefs play in one's creativity. It untangles the interrelated constructs of creative self-efficacy, creative metacognition, creative identity, and creative self-concept. It explores how and when creative self-beliefs are formed as well as how creative self-beliefs can be strengthened. Part I discusses how creativity plays a part in one's self-identity and its relationship with free will and efficacy. Part II discusses creativity present in day-to-day life across the lifespan. Part III highlights the intersection of the creative self with other variables such as mindset, domains, the brain, and individual differences. Part IV explores methodology and culture in relation to creativity. Part V, discusses additional constructs or theories that offer promise for future research on creativity. - Explores how beliefs about one's creativity are part of one's identity - Investigates the development of self-beliefs about creativity - Identifies external and personality factors influencing self-beliefs about creativity - Incorporates worldwide research with cross-disciplinary contributors

Attitudes, Beliefs, Motivation and Identity in Mathematics Education
Attitudes, Beliefs, Motivation and Identity in Mathematics Education

Author: Markku S. Hannula

Publisher: Springer

Published: 2016-06-14

Total Pages: 42

ISBN-13: 3319328115

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This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.

Mathematical Problem Posing
Mathematical Problem Posing

Author: Florence Mihaela Singer

Publisher: Springer

Published: 2015-06-12

Total Pages: 587

ISBN-13: 1461462584

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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. ​​

Creativity in Schools
Creativity in Schools

Author: Anna Craft

Publisher: Routledge

Published: 2005-08-24

Total Pages: 217

ISBN-13: 1134346964

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Growing clamour to reintroduce creativity back into classrooms - internationally Synthesises practice, policy and research in one place Suggests practical ways of taking forward pupils' creative development Relevant for teachers who work with pupils from 3-18 Anna Craft is uniquely placed to write this book and spent time researching this issue with Professor Howard Gardner at Harvard Graduate School of Education, USA

More Ways Than One
More Ways Than One

Author: Arthur J. Cropley

Publisher: Bloomsbury Publishing USA

Published: 1992-01-01

Total Pages: 143

ISBN-13: 0313390576

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Current conceptualizations of children's thinking tend to be unneccesarily narrow, and to focus on what might be called convergent thinking. As a result, invention and innovation are often underemphasized in schools. This text aims to encourage a broad understanding of intellect, and attempts to help teachers to recognize and foster more varied forms of intellectual activity in their students. It offers a review of recent theory on creativity, conceptualizing this as a matter of getting ideas, trying the new, branching out and the like, rather than of producing artistic or scientific products. It discusses the factors in the classroom which block this more divergent kind of thinking and suggests practical ways through which teachers can promote bolder and more innovative intellectual activity in their students. This involves not merely cognitive factors (thinking, remembering, reasoning) but also motivation (courage and willingness), personality (openness to the new, self-confidence), and social factors (nonconformity, ability to communicate ideas). The text is applied in orientation, contains a large number of examples and case studies, and aims at providing practicing teachers with guidelines.

Creativity, Wisdom, and Trusteeship
Creativity, Wisdom, and Trusteeship

Author: Anna Craft

Publisher: Corwin Press

Published: 2007-12-13

Total Pages: 201

ISBN-13: 1452297398

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An international panel of distinguished experts explores the balance between creativity and wise action, and calls for educators to nurture "wise creativity" in their students.

Affect and Mathematics Education
Affect and Mathematics Education

Author: Markku S. Hannula

Publisher: Springer

Published: 2019-06-03

Total Pages: 437

ISBN-13: 3030137619

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This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education.

Creativity in Mathematics and the Education of Gifted Students
Creativity in Mathematics and the Education of Gifted Students

Author: Roza Leikin

Publisher: BRILL

Published: 2009-01-01

Total Pages: 419

ISBN-13: 9087909357

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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.

Structure and Improvisation in Creative Teaching
Structure and Improvisation in Creative Teaching

Author: R. Keith Sawyer

Publisher: Cambridge University Press

Published: 2011-06-27

Total Pages: 319

ISBN-13: 1139500341

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With an increasing emphasis on creativity and innovation in the twenty-first century, teachers need to be creative professionals just as students must learn to be creative. And yet, schools are institutions with many important structures and guidelines that teachers must follow. Effective creative teaching strikes a delicate balance between structure and improvisation. The authors draw on studies of jazz, theater improvisation and dance improvisation to demonstrate that the most creative performers work within similar structures and guidelines. By looking to these creative genres, the book provides practical advice for teachers who wish to become more creative professionals.