Full Description
Geometry is one of the most ancient branches of mathematics. In order to 'understand geometry', learners should be able to infer in a deductive way as well as be endowed with enhanced visual competences. These prerequisites render plane geometry and solid geometry challenging for both teaching and learning. Hence, it is essential to consider creative ways for teaching the various branches of geometry in order to respond to the varied difficulties, while fostering deductive thinking and visual competences. This book aims to provide readers with a broad knowledge of the various aspects of creativity and its assessment and to expose them to creative methods and approaches to the teaching of geometry. The content of the book is grounded in the research literature that engages in creativity in general and in creativity in teaching in particular. The chapters collected in the book present the multifaceted nature of geometry teaching in a creative-integrated way while exposing the readers to the beauty of geometry.
Contents
Prolog; The World of Creativity: The Many Faces of Creativity (Atara Shriki); Nurturing Mathematical Creativity at School (Atara Shriki); Creative Approaches to the Teaching of Geometry: Creative View of Internal and External Angles of Convex Polygons (Ilana Levenberg and Dorit Patkin); On Areas, Perimeters and Creativity (Ronit Bassan-Cincinatus); Analytic Geometry and Logic as Promoters of Graphical Literacy (Ilana Levenberg); Building Geometric Understanding — Identifying and Refuting False Claims (Dorit Patkin); Developing Mathematical Creativity Through Geometric Problem Posing (Atara Shriki); Geometry and the Creative Brain: From Peeling a Tangerine to Image Processing: The Beauty of Geometry and Its Relevance to Everyday Life (Eli Appleboim); The Concept of Invariance in Geometry: A Long-Term History and Present-Day Implications for Learning (Ilya Sinitsky and Moshe Stupel); Assessing Creativity and Its Development Using a Psychometric Model: The Case of Problem Posing (Atara Shriki); Epilog; About the Editors and the Writers; Name Index; Subject Index;
