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Tiling with One Arc-Sided Shape

Tim Lexen March 6, 2018 General
The Arc Approach A flat puzzle (tiling) with dozens or hundreds of identical pieces may sound a little dull and predictable. But what is the most interesting shape we …
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Review: Problem Solving and Reasoning With Discrete Mathematics

Michael Goldenberg November 21, 2017 Applied Math, Math Education, Suggested Reading
      Book Review: PROBLEM SOLVING AND REASONING WITH DISCRETE MATHEMATICS by Dr. Joseph G. Rosenstein US K-12 mathematics has long been dominated by the notion that any …
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Joe Rosenstein: The Art of Being Discrete

Michael Goldenberg November 21, 2017 Applied Math, Math Education
Joseph G. Rosenstein   It’s our pleasure to welcome Professor Joseph G. Rosenstein to the Math Blog. He is Distinguished  Emeritus Professor of mathematics at Rutgers University.  His biography …
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Finding Square Roots Without Estimating

Michael Goldenberg August 23, 2017 Math Education, Uncategorized
Typical algorithms for doing square roots by hand require estimation. I have taught a different algorithm that does not rely on estimation but instead uses subtraction of successive odd …
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James Grime: FOOL FOR MATHS*

Michael Goldenberg August 8, 2017 Essential Math, Math Education, Uncategorized
  James Grime is a mathematician with a personal passion for maths communication and the promotion of mathematics in schools and to the general public. He can be mostly …
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Subtraction: What is “the” Standard Algorithm?

Michael Goldenberg July 31, 2017 Math Education, Uncategorized
Subtraction: What is “the” Standard Algorithm?   One common complaint amongst anti-reform pundits is that  progressive reform math advocates and the programs they create and/or teach from “hate” standard …
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Alan Schoenfeld: At the Boundaries of Effective Mathematics Thinking, Teaching, and Learning

Michael Goldenberg July 22, 2017 Math Education
An Interview with Alan Schoenfeld: At the Boundaries of Effective Mathematics Thinking, Teaching, and Learning     Alan Schoenfeld is the Elizabeth and Edward Conner Professor of Education and …
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Dr. Devlin Finds Fibonacci

Michael Goldenberg May 31, 2017 History, Suggested Reading
What would make you write a book about writing a book you recently published on a 13th-century mathematician? When you’re Stanford University’s Keith Devlin (aka, NPR’s “The Math Guy”) …
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Models and Delving Deeper Into Division

Michael Goldenberg May 30, 2017 Essential Math, Math Education
Models and Delving Deeper Into Division   Last month, we unpacked the long-division procedure taught in American K-6 classrooms, tied it into the standard “long multiplication” algorithm, discussed issues …
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Keith Devlin: An Ambassador of Mathematics for Many Eras

Michael Goldenberg May 30, 2017 History, Math Education
An Interview with Keith Devlin: An Ambassador of Mathematics for Many Eras     Dr. Keith Devlin is a co-founder and Executive Director of the university’s H-STAR institute, a co-founder …
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