Creativity and Technology in Mathematics Education

Description

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. Front Matter ....Pages i-vii Front Matter ....Pages 1-1 Leveraging Mathematics Creativity by Using Technology: Questions, Issues, Solutions, and Innovative Paths (Viktor Freiman, Janet Lynne Tassell)....Pages 3-29 Front Matter ....Pages 31-31 Screencasting as a Tool to Capture Moments of Authentic Creativity (Dana C. Cox, Suzanne R. Harper, Michael Todd Edwards)....Pages 33-57 The Create Excellence Framework’s Impact on Enhancing Creativity: Examining Elementary Teacher Candidate Mathematics Lesson Planning (Janet Lynne Tassell, Rebecca Stobaugh, Marge Maxwell)....Pages 59-87 Impacting Mathematical and Technological Creativity with Dynamic Technology Scaffolding (Sandra R. Madden)....Pages 89-124 Three-Act Tasks: Creative Means of Engaging Authentic Mathematical Thinking Through Multimedia Storytelling (Adrienne Redmond-Sanogo, Susan Stansberry, Penny Thompson, Sheri Vasinda)....Pages 125-146 Front Matter ....Pages 147-147 Interactive Technology to Foster Creativity in Future Mathematics Teachers (Alfinio Flores, Jungeun Park, Stephen A. Bernhardt)....Pages 149-180 Creativity and the Design of Music-Mathematics Activities in a Virtual Simulation Learning Environment (Trina J. Davis, Glenn Phillips, Gerald Kulm)....Pages 181-202 Preparing Teachers to Use Excelets: Developing Creative Modeling Experiences for Secondary Mathematics Students (Ginger S. Watson, Mary C. Enderson)....Pages 203-231 Creativity in Question and Answer Digital Spaces for Mathematics Education: A Case Study of the Water Triangle for Proportional Reasoning (Benjamin Dickman)....Pages 233-248 Front Matter ....Pages 249-249 Nurturing Creativity in Future Mathematics Teachers Through Embracing Technology and Failure (Marina Milner-Bolotin)....Pages 251-278 Harnessing Early Spatial Learning Using Technological and Traditional Tools at Home (Joanne Lee, Ariel Ho, Eileen Wood)....Pages 279-302 Video Game Play, Mathematics, Spatial Skills, and Creativity—A Study of the Impact on Teacher Candidates (Janet Lynne Tassell, Elena Novak, Mengjiao Wu)....Pages 303-322 Prototype Problem Solving Activities Increasing Creative Learning Opportunities Using Computer Modeling and 3D Printing (Antonia Szymanski)....Pages 323-344 Front Matter ....Pages 345-345 Can a Kite Be a Triangle? Aesthetics and Creative Discourse in an Interactive Geometric Environment (Hope Gerson, Paul Woo Dong Yu)....Pages 347-369 Technology and the Development of Mathematical Creativity in Advanced School Mathematics (Sergei Abramovich)....Pages 371-398 “Integrating” Creativity and Technology Through Interpolation (Bharath Sriraman, Daniel Lande)....Pages 399-411 Ancient School Without Walls: Collective Creativity in the Mathematics Village (Elçin Emre-Akdoğan, Gönül Yazgan-Sağ)....Pages 413-437 Front Matter ....Pages 439-439 APOS Theory: Use of Computer Programs to Foster Mental Constructions and Student’s Creativity (Draga Vidakovic, Ed Dubinsky, Kirk Weller)....Pages 441-477 The Nature of Knowledge and Creativity in a Technological Context in Music and Mathematics: Implications in Combining Vygotsky and Piaget’s Models (Yves de Champlain, Lucie DeBlois, Xavier Robichaud, Viktor Freiman)....Pages 479-505 Putting the Horses Before the Cart: Technology, Creativity, and Authorship Harnessed Three Abreast (Osnat Fellus, Yaniv Biton)....Pages 507-529 Virtual Learning Communities of Problem Solvers: A Potential for Developing Creativity in Mathematics? (Dominic Manuel)....Pages 531-557 Back Matter ....Pages 559-561