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 …

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 …

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 …

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 …

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 …

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 …

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 …

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”) …

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 …

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 …