A School Course of Mathematics - Softcover

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9780282305628: A School Course of Mathematics

Synopsis

This illuminating book approaches the study of mathematics from both theoretical and practical perspectives, guiding readers through the historical development of mathematical concepts. The author begins by exploring the material chosen for mathematical education, focusing on the relationship between knowledge and training. They posit that knowledge is more valuable when closely related to human interests, and that concrete examples facilitate learning. This leads to a discussion of the progression from concrete to abstract thought, and the importance of solid geometry for both knowledge and training. The book's main focus then shifts towards the methodology of teaching mathematics. The author argues that effective mathematical education should be centered around discussions between students and teachers, wherein students actively engage with the material rather than passively receiving information. They emphasize the value of experimental learning and encourage students to discover mathematical principles through their own exploration. Throughout the book, the author underscores the significance of accuracy and precision in mathematics. They provide detailed examples and exercises to help students develop their measurement and calculation skills, and emphasize the importance of using appropriate units and scales. Overall, this book offers a fresh and engaging approach to teaching and learning mathematics. By emphasizing the foundational concepts, exploring historical perspectives, and encouraging active student participation, it empowers readers to develop a deep understanding of mathematical principles and their applications in the real world.

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