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

ISBN-13: 9783319731551 / Angielski / Twarda / 2018 / 428 str.

Florence Mihaela Singer

Opis

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.

Spis treści

Introduction: Enhancing creative capacities in mathematically promising students. Challenges and Limits

Florence Mihaela Singer, University of Ploiesti, Romania

1. Frameworks for Studying Mathematical Creativity and Giftedness

Mathematical Creativity: Product, Process, Person and Press

Demetra Pitta-Pantazi¹, Maria Kattou¹,  Constantinos Christou¹

¹Department of Education, University of Cyprus, Cyprus

The Nature and Use of Theories on Giftedness in Mathematics Education Research: A Review on ICME Activities in the 21st Century

 Benjamin Rott¹        Maike Schindler¹

¹University of Duisburg-Essen, Germany; ²Örebro University, Sweden

High Talent and High Achievement in Mathematics – the Connection, the Difference and the Problems

Matthias Brandl¹

¹University of Passau, Germany

Mathematical Giftedness and Creativity in Primary Grades

Daniela Assmus¹  Torsten Fritzlar¹

¹Martin Luther University Halle-Wittenberg, Germany

2. Characteristics of Mathematically Gifted

Characteristics of Mathematical Giftedness in Early Primary School Age
Daniela Assmus¹

¹University of Halle-Wittenberg

Twice Exceptional Children – Mathematically Promising Children with Special Needs Marianne Nolte

University of Hamburg, Germany

Mathematical Promise, Gender and Achievement Motivation. The Significance of Mathematical Self-Concept, Attributions and Interest in the Identification of Mathematically Promising Swedish Girls and Boys

Ralf Benölken¹        Elisabet Mellroth²

¹University of Münster, Germany                      ²Karlstad University, Sweden

Cognitive Variety in Rich-Challenging Tasks

Cristian Voica¹             Florence Mihaela Singer²

¹University of Bucharest, Romania                 ²University of Ploiesti, Romania      

3. Teaching Strategies to Foster Creative Learning 

Encouraging Creativity in Heterogeneous Mathematics Classrooms

Hana Moraová¹, Jarmila Novotná¹

¹Faculty of Education, Charles University, Prague, Check Republic

Promoting Creativity with Procedural Tasks: Task Characteristics and Student Impact

Michal Tabach¹      Alex Friedlander²  

¹Tel Aviv University, Israel       ²The Weizmann Institute of Science, Israel

Flexibility of Pre-Services Teachers in Problem Posing in Different Environments

Wajeeh Daher^1,2           Ahlam Anabousy^1,3

¹Alqasemi Academic College of Education ^{23Tel-Aviv University, Israel}

A Gifted Student Learning Algebra by Means of Geometric Patterns Problems. Analysis of the Cognitive Demand

Clara Arbona Benedicto¹, Eva Jaime¹, Adela Gutiérrez¹, Angel Gutiérrez¹

¹University of Valencia, Valencia, Spain

4. Tasks and Techniques to Enhance Creative Capacities

About the Techniques of Gifted Students on Solving Challenging Mathematical Problems

Andreas Poulos¹

¹Ministry of Education, Thessaloniki, Greece

Repeated Participation at the Mathematical Olympiad: Does it Ensure the Students’ Progress in the Use of Problem-Solving Strategies?

Ingrida Veilande¹             Liga Ramana²            Sandra Krauze³

¹Latvian Maritime Academy, Latvia   ²Riga Technical University, Latvia    ³Valmiera State Gymnasium, Latvia

Development and Implementation of Creativity-in-Progress Rubric on Proving

Gulden Karakok¹     Houssein El Turkey²     Milos Savic³    Gail Tang⁴    Emilie Hancock¹   David Plaxco³

 ¹University of Northern Colorado,  SUA        ²University of New Haven,  SUA   

 ³University of Oklahoma, SUA       ⁴University of La Verne, SUA    

Technology-rich Environments for Mathematically Gifted: What is an Add-On Value?

Viktor Freiman

Université de Moncton, Canada

Commentary paper

Linda Jensen Sheffield, Northern Kentucky University, USA

Blurb

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.