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How Math Works (eBook)

A Guide to Grade School Arithmetic for Parents and Teachers
eBook Download: EPUB
2013
260 Seiten
Rowman & Littlefield Publishers (Verlag)
978-1-4422-1876-5 (ISBN)

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How Math Works -  G. Arnell Williams
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Math is a subject many people find intimidating. But many don’t understand the history of math and how it came to be what it is today. Here, G. Arnell Williams illuminates, in plain and simple terms, how we got the math we use today, the math our children learn, and the math we struggle at times to explain.
We hear all the time how American children are falling behind their global peers in various basic subjects, but particularly in math. Is it our fear of math that constrains us? Or our inability to understand math's place in relation to our everyday lives? How can we help our children better understand the basics of arithmetic if we're not really sure we understand them ourselves? Here, G. Arnell Williams helps parents and teachers explore the world of math that their elementary school children are learning. Taking readers on a tour of the history of arithmetic, and its growth into the subject we know it to be today, Williams explores the beauty and relevance of mathematics by focusing on the great conceptual depth and genius already inherent in the elementary mathematics familiar to us all, and by connecting it to other well-known areas such as language and the conceptual aspects of everyday life. The result is a book that will help you to better explain mathematics to your children. For those already well versed in these areas, the book offers a tour of the great conceptual and historical facts and assumptions that most simply take for granted.If you are someone who has always struggled with mathematics either because you couldn't do it or because you never really understood why the rules are the way they are, if you were irritated with the way it was taught to you with the emphasis being only on learning the rules and ';recipes' by rote as opposed to obtaining a good conceptual understanding, then How Math Works is for you!

G. Arnell Williams (MS Yale) is an associate professor of mathematics at San Juan College in New Mexico. He has won numerous teaching awards for helping people to overcome their fear of math.

AcknowledgementsIntroductionPart I: The Relevance of the Past1. Tools of the Intellect2. The World in Symbols3. An Ancient Tool Gives Rise to Modern Mathematics4. The Ancients Perform Miracles with Numbers Part II: The Spectacular Fusion of Calculation with Writing5. Numeral Formations Come to Arithmetic6. The Symmetry of Repetition7. Dance of the Digits8. The Highest Mathematical Faculties9. The Powder Keg of Arithmetic EducationPart III: Beautiful Dreams and Horrible Nightmares10. Triumph of the Numerals11. From the Frontier to the ClassroomPart IV. Illuminations12. Symbolic Illumination13. General ResuméNotesAppendicesBibliographyIndex

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