Search 75,796 tutors

Jeffrey M.'s Resources


Bill and Melinda Gates Foundation initiative

Thought Stimulated By The 30th Anniversary of the Release of the Report "A Nation At Risk"  Apparently, the Bill & Melinda Gates Foundation is in the midst of a program whose stated purpose is to enhance the quality of teaching in the United States.  One of the implications of their program is that insufficient teaching at a high quality level is an important... read more


Textbook boo-boo?

The math textbook of a student that I'm working with posed the following problem: Solve e^x=x^5 The student told me that she couldn't do the problem and so, with an air of authority, I started to show her how to solve it...until I realized that I couldn't solve it, either! I believe that there is no closed-form analytical solution to such an equation, and that the best that one can... read more


Using student problems to pose and prove theorems as a teaching technique

Something that I've just started doing is enhancing my answer to a student's question by sometimes formulating (when possible, of course) a theorem and proof that are directly related to the question. For example, when one of my students asked me to describe the symmetry of an odd function, i.e., a function for which f(x)= -f(-x), the theorem I cooked up was: For an odd function: a)... read more