Buch, Englisch, 292 Seiten, Format (B × H): 155 mm x 233 mm, Gewicht: 475 g
Buch, Englisch, 292 Seiten, Format (B × H): 155 mm x 233 mm, Gewicht: 475 g
Reihe: Mathematics Education Library
ISBN: 978-0-7923-2812-4
Verlag: Springer Netherlands
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
The Psychology of Advanced Mathematical Thinking.- The Nature of Advanced Mathematical Thingking.- Advanced Mathematical Thinking Processes.- Mathematical Creativity.- Mathematical Proof.- Cognitive Theory of Advanced Mathematical Thinking.- The Role of Definitions in the Teaching and Learning of Mathematics.- The Role of Conceptual Entities and Their Symbols in Building Advanced Mathematical Concepts.- Reflective Abstraction in Advanced Mathematical Thinking.- Research into the Teaching and Learning of Advanced Mathematical Thinking.- Research in Teaching and Learning Mathematics at an Advanced Level.- Functions and Associated Learning Difficulties.- Limits.- Analysis.- The Role of Studients’ Intuitions of Infinity in Teaching the Cantorian Theory.- Research on Mathematical Proof.- Advanced Mathematical Thinking and the Computer.- Epilogue.- Reflections.
