Republic of Mathematics blog

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To work in groups or not to work in groups? Is that the question?

Posted by: Gary Ernest Davis on: December 7, 2010

This past Thursday and Monday #mathchat had a Twitter conversation on “Is groupwork or collaborative learning always possible in mathematics?” As one would expect, much of the conversations revolved around whether and under what circumstances groupwork or collaborative learning was possible or desirable in mathematics. Frequently, contributors discussed what parts of mathematical activity – for […]

Some curly questions on the base 3 digits of powers of 2

Posted by: Gary Ernest Davis on: December 6, 2010

Representing positive integers base 3 Positive whole numbers can easily be written in base 3, there where we allow the digits 0, 1, 2 For example: which we write as , where the notation picks out the digits and puts a subscript “3” to remind us that these digits need to be multiplied by appropriate […]