Republic of Mathematics blog

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Who’s kidding who? What do tests test?

Posted by: Gary Ernest Davis on: June 7, 2011

What does a test “test”? All over the world, at all levels of education, mathematics teachers set tests for their students, and give grades on the basis of those tests. Tests are usually thought to be reliable indicators (if not measures) of how well students  engage with the material being taught to them, and is […]

Spotting patterns and finding explanations: Dijkstra’s fusc function

Posted by: Gary Ernest Davis on: May 18, 2011

Edsger Dijkstra named the integer valued function, fusc, of a non-negative integer variable, as follows: , , and Dijkstra’s writings on fusc can be found at the Edgar W. Dijkstra Archive (EWD 578). The values of fusc can be computed in any decent programming language (one that has a built-in routine for recognizing odd and […]