To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for...

How we reason with mathematical ideas continues to be a fascinating and challenging research topic. It has become even more so in recent years due to the rapid and diverse developments in the field of cognitive science. Because cognitive science draws upon several disciplines - psychology, philosophy, computer science, linguistics and anthropology - it provides a rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It...