The Teaching of Geometry

Name: The Teaching of Geometry
Author: David Eugene Smith

By David Eugene Smith

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Mathematics Teaching & Education

About This Book

The book examines purposes and methods for teaching geometry to secondary students, surveying its history and debates over curriculum and pedagogy, evaluating Euclidean foundations, axioms, definitions, and textbook practices, and discussing the relation between algebra and geometry. It offers practical guidance on class conduct, introductions, attacking exercises, and selecting propositions for study, and it analyzes key propositions from the classical books to suggest gradual improvements in content and presentation that respect pupils' cognitive development while promoting clearer reasoning and classroom engagement.

About the Author

David Eugene Smith

David Eugene Smith was an American mathematician and educator known for his contributions to the teaching of mathematics. He played a significant role in promoting mathematical education and authored several works that aimed to enhance understanding of mathematical concepts. Among his notable publications are "The Hindu-Arabic Numerals," which explores the history and significance of the numeral system, and "The Teaching of Geometry," which provides insights into effective methods for teaching geometric principles. Smith's work has had a lasting impact on mathematics education, making complex ideas more accessible to students and educators alike.