Archive for the ‘Uncategorized’ Category
Dealing with ratios diagramatically
Posted by: Gary Ernest Davis on: September 14, 2010
In an earlier post, I wrote that my colleague Sigal Gottlieb was annoyed by her own approach at automatically solving the following problem – which she had asked of her elder son – via algebra, rather than thinking through the problem in a more direct way: In a large group of children there are 3 […]
Losing the habit of thinking through a problem, due to formalizing instead of thinking
Posted by: Gary Ernest Davis on: September 13, 2010
My colleague Sigal Gottlieb this morning raised an issue with me she found very upsetting. She normally thinks of the bag of mathematical tricks she has acquired as a research mathematician and professor as adding to her understanding. Instead she’s finding it is, in some circumstances, obscuring her vision to think and making her lazy. […]
