Republic of Mathematics blog

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The moving pointer and 0.999…. A useful cognitive root

Posted by: Gary Ernest Davis on: November 1, 2010

Debates arise periodically as to whether 0.999… is equal to 1.  Here, the the 9’s never end in the expression “0.999…” . To paraphrase at least one U.S. President, the answer depends on what we mean by “equal”. Equality Equality takes some explaining in a mathematical setting. As an example that is familiar to almost […]

Vertical integration of mathematics K-20

Posted by: Gary Ernest Davis on: October 28, 2010

The @mathchat topic for Thursday October 28, sale 2010 is: “How can we facilitate vertical (cross-curricular) integration of mathematics teaching from early years to graduate-level?” In this post I want to think about the vertical integration aspect of this question. Below are some issues that I feel need to be addressed in a genuinely productive […]