Creativity and Technology in Mathematics Education

Creativity and Technology in Mathematics Education

Author: Viktor Freiman

Publisher: Springer

Published: 2018-09-03

Total Pages: 552

ISBN-13: 3319723812

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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.


Building Thinking Classrooms in Mathematics, Grades K-12

Building Thinking Classrooms in Mathematics, Grades K-12

Author: Peter Liljedahl

Publisher: Corwin Press

Published: 2020-09-28

Total Pages: 454

ISBN-13: 1544374844

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A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.


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.


Creative Collaboration

Creative Collaboration

Author: Vera John-Steiner

Publisher: Oxford University Press

Published: 2006

Total Pages: 282

ISBN-13: 0195307704

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What is the true nature of thinking? Can it best be understood as a solitary activity of a lone individual? This book suggests that our grasp of creativity is impoverished because we fail to recognise the vital roles that partnerships, collaborations, friendships, and communities play in our thinking, learning, and understanding.


Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Author: Jennifer M. Bay-Williams

Publisher: Corwin

Published: 2021-03-02

Total Pages: 265

ISBN-13: 1071818430

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Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.


Preventing Talent Loss

Preventing Talent Loss

Author: Eunsook Hong

Publisher: Routledge

Published: 2011-04-06

Total Pages: 251

ISBN-13: 1135599009

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Preventing Talent Loss provides a comprehensive model of giftedness and talent for all educators including teachers, counselors, and administrators. By presenting a summary of theory-driven, evidence-based knowledge, Hong and Milgram offer innovative and practical solutions for meeting the challenge of coping with talent loss. This monumental book distinguishes the important difference between expert talent and creative talent. While other books focus on how to improve the process of identifying the gifted and talented, Preventing Talent Loss provides educators with the means to individualize their curriculum and instruction in regular classrooms.


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


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 and Giftedness

Creativity and Giftedness

Author: Roza Leikin

Publisher: Springer

Published: 2016-08-24

Total Pages: 261

ISBN-13: 3319388401

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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).


Advanced Mathematical Thinking

Advanced Mathematical Thinking

Author: David Tall

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 298

ISBN-13: 0306472031

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This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.