timcowlishaw + learning   116

The Danger When You Don't Know What You Don't Know : Good Math, Bad Math
A little bit of knowledge is a dangerous thing.

There's no shortage of stupidity in the world. And, alas, it comes in many, many different kinds. Among the ones that bug me, pretty much the worst is the stupidity that comes from believing that you know something that you don't.
godel  mathematics  logic  reasoning  learning  education  epistemology  philosophy  theology 
may 2010 by timcowlishaw
How about infinity plus one? « Republic of Mathematics
The teacher in this grade 1 class was wonderful. Friendly, supportive, with as challenging activities for each group as she could find or devise. She taught them reading, writing, arithmetic, geography, social studies, science and who knows what esle.

Yet how could this excellent teacher deal individually in mathematics – grade 1 mathematics – with Tom who could not yet confidently and reliably count to 10, and the top set boys who were pondering infinities?
mathematics  education  learning  child  development  primary  earlyyears 
january 2010 by timcowlishaw
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