Mathematical Creativity and Mathematical Giftedness: Enhancing Creative Capacities in Mathematically Promising Students

Description

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. Front Matter ....Pages i-vii Enhancing Creative Capacities in Mathematically-Promising Students. Challenges and Limits (Florence Mihaela Singer)....Pages 1-23 Front Matter ....Pages 25-25 Mathematical Creativity: Product, Person, Process and Press (Demetra Pitta-Pantazi, Maria Kattou, Constantinos Christou)....Pages 27-53 Mathematical Giftedness and Creativity in Primary Grades (Daniela Assmus, Torsten Fritzlar)....Pages 55-81 Cognitive Variety in Rich-Challenging Tasks (Cristian Voica, Florence Mihaela Singer)....Pages 83-114 Mathematical Creativity and Its Subdomain-Specificity. Investigating the Appropriateness of Solutions in Multiple Solution Tasks (Maike Schindler, Julia Joklitschke, Benjamin Rott)....Pages 115-142 Front Matter ....Pages 143-143 Characteristics of Mathematical Giftedness in Early Primary School Age (Daniela Assmus)....Pages 145-167 The Cognitive Demand of a Gifted Student’s Answers to Geometric Pattern Problems (Angel Gutierrez, Clara Benedicto, Adela Jaime, Eva Arbona)....Pages 169-198 Twice-Exceptional Students: Students with Special Needs and a High Mathematical Potential (Marianne Nolte)....Pages 199-225 Front Matter ....Pages 227-227 Flexibility of Pre-services Teachers in Problem Posing in Different Environments (Wajeeh Daher, Ahlam Anabousy)....Pages 229-252 Ornaments and Tessellations: Encouraging Creativity in the Mathematics Classroom (Hana Moraová, Jarmila Novotná, Franco Favilli)....Pages 253-283 Instances of Promoting Creativity with Procedural Tasks (Michal Tabach, Alex Friedlander)....Pages 285-306 Front Matter ....Pages 307-307 Gifted Students Approaches When Solving Challenging Mathematical Problems (Andreas Poulos, Joanna Mamona-Downs)....Pages 309-341 Repeated Participation at the Mathematical Olympiads: A Comparative Study of the Solutions of Selected Problems (Ingrida Veilande, Liga Ramana, Sandra Krauze)....Pages 343-372 Complex and Open-Ended Tasks to Enrich Mathematical Experiences of Kindergarten Students (Viktor Freiman)....Pages 373-404 Back Matter ....Pages 405-428