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Focus on Algebra is far from the worst of the new books. However, it contains a representative sample of what is being called 'a mile wide and an inch deep'." [3] Senator Robert Byrd, Democrat from West Virginia, joined critics of reform mathematics on the floor of the Senate by dubbing Focus on Algebra "whacko algebra". [4]
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Standards-based mathematics: a vision for pre-college mathematics education in the United States and Canada, focused on deepening student understanding of mathematical ideas and procedures, and formalized by the National Council of Teachers of Mathematics which created the Principles and Standards for School Mathematics.
Mathematician George F. Simmons wrote in the algebra section of his book Precalculus Mathematics in a Nutshell (1981) that the New Math produced students who had "heard of the commutative law, but did not know the multiplication table." [205] By the early 1970s, this movement was defeated. Nevertheless, some of the ideas it promoted still lived on.
Teaching Children Mathematics. May 2008. Volume 14, issue 9, pages 508 – 517. Focus in Grade 5, Teaching with Curriculum Focal Points. (2009). National Council of Teachers of Mathematics. This book elaborates on the Focal Points at grade 5, including discussions of the necessary foundations at grades 3 and 4.
A Mathematician's Lament, often referred to informally as Lockhart's Lament, is a short book on mathematics education by Paul Lockhart, originally a research mathematician at Brown University and U.C. Santa Cruz, and subsequently a math teacher at Saint Ann's School in Brooklyn, New York City for many years.
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Published in two volumes, [33] [34] this book more than any other work succeeded in establishing analysis as a major branch of mathematics, with a focus and approach distinct from that used in geometry and algebra. [35] Notably, Euler identified functions rather than curves to be the central focus in his book. [36]