Vision in Elementary Mathematics by W. W. Sawyer (Vintage 1964 Edition)

Description

“Vision in Elementary Mathematics” by W. W. Sawyer is a classic text that seeks to elucidate the fundamental concepts and underlying principles of mathematics in a clear and intuitive manner. Published in 1951, Sawyer’s book is aimed at students and teachers of mathematics at the elementary level, but its insights are valuable for learners of all ages.

Sawyer’s central thesis is that mathematics is not merely a collection of abstract rules and procedures, but rather a dynamic and creative discipline that is deeply rooted in human intuition and perception. He emphasizes the importance of developing a “mathematical vision” – a way of thinking that allows individuals to grasp the essential patterns, structures, and relationships that underlie mathematical concepts.

Through a series of engaging and accessible essays, Sawyer explores a wide range of topics in elementary mathematics, from arithmetic and geometry to algebra and calculus. He encourages readers to approach these subjects with curiosity and imagination, encouraging them to explore the connections between different mathematical ideas and to develop their own insights and intuitions.

One of the key themes of “Vision in Elementary Mathematics” is the idea that mathematics is a visual language, and that visualizing mathematical concepts can lead to deeper understanding and more effective problem-solving. Sawyer provides numerous examples and illustrations to support this idea, helping readers to see the beauty and elegance of mathematics in action.

Overall, “Vision in Elementary Mathematics” is a timeless work that continues to inspire and enlighten readers with its fresh perspectives on the nature of mathematics. Sawyer’s emphasis on intuition, visualization, and creativity makes the book an invaluable resource for anyone seeking to develop a deeper appreciation for the beauty and power of mathematics.