What a great input from Michael, its great to be reminded that there are teachers of mathematics (across the world) who are prepared to use as many different methodologies as possible to improve students learning. I know from talking to other teachers and reading these groups that a lot of us believe in the principles of constructivist theory but do not see it as the only solution to teaching.
What is important is that we continue to reinforce the fact that many maths educators no longer believe that the "review/lecture/seatwork/homework" method of teaching mathematics is the only way to teach the subject.
Our willingness to vary styles and change from the past is what will keep today's students interested and hopefully get a precious few of them believing that they to, would like to be involved in teaching mathematics!
Mark R O'Brien email@example.com
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