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I am a high school math teacher and community college and high school computer teacher. MacNeal THRILLED me with his insight into something that may be part of the problem with education the way we do it. Look for his connection of Piaget's work on the development of children's and adults' abilities through necessary stages with the Chinese language and with the teaching of math.
I have had more successes with some of my students because of MacNeal and his book.
MacNeal argues convincingly that using mathematics properly goes far beyond being able to manipulate numbers. Mathematics is a language that helps us understand the real world. Divorcing this language from spoken languages, such as English, fails to teach students how to use and think about issues that relate to mathematics. (And that certainly includes a multitude of topics!)
"Mathsemantics" also provides a practical method of learning to make estimates. The author provides many examples of how to use information that we do have to make reasonable estimates regarding information that is unavaialable to us.
If I were a high school or college instructor...of almost any subject...I would (easily) find a way to make "Mathsemantics" required, relevant reading. This book provides so much more value than most of the "best-selling" books that you will read and hear about.