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G. Arnell Williams’s Followers (2)
G. Arnell Williams
Goodreads Author
Member Since
February 2014
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Algebra the Beautiful: An Ode to Math's Least-Loved Subject
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How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
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published
2013
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4 editions
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* Note: these are all the books on Goodreads for this author. To add more, click here.
“It is almost as if ideas set in mathematical form melt and become liquid and just as rivers can, from the most humble beginnings, flow for thousands of miles, through the most varied topography bringing nourishment and life with them wherever they go, so too can ideas cast in mathematical form flow far from their original sources, along well-defined paths, electrifying and dramatically affecting much of what they touch. pp. xii - xiii.”
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
“A goal of this book has been to tear down in some small part these barriers to understanding by attempting to shatter the “divinity of arithmetic,” through showing that even the methods, which we now take most for granted, were not given to us from on high, but were actually the result of centuries of scientific efforts on the part of our predecessors. p. 269”
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
“A key ingredient in appreciating what mathematics is about is to realize that it is concerned with ideas, understanding, and communication more than it is with any specific brand of symbols....It is almost as if ideas set in mathematical form melt and become liquid and just as rivers can, from the most humble beginnings, flow for thousands of miles, through the most varied topography bringing nourishment and life with them wherever they go, so too can ideas cast in mathematical form flow far from their original sources, along well-defined paths, electrifying and dramatically affecting much of what they touch. pp. xii - xiii.”
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
“Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding”
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“The history of education is a seemingly endless parade of “new ideas” that are actually old ideas renamed.”
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“The issue, then, is not, What is the best way to teach? but, What is mathematics really all about?... Controversies about…teaching cannot be resolved without confronting problems about the nature of mathematics.”
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“It is almost as if ideas set in mathematical form melt and become liquid and just as rivers can, from the most humble beginnings, flow for thousands of miles, through the most varied topography bringing nourishment and life with them wherever they go, so too can ideas cast in mathematical form flow far from their original sources, along well-defined paths, electrifying and dramatically affecting much of what they touch. pp. xii - xiii.”
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
“Through the judicious employment of symbols, diagrams, and calculations, mathematics enables us to acquire significant facts about extremely significant things (universal laws, even), not by first forging out into the cosmos with teams of scientists, but rather from the comforts and confines of coffee tables in our living rooms! p. 72”
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
― How Math Works: A Guide to Grade School Arithmetic for Parents and Teachers
