A case in point is the textbook we are reading in my math teaching methods class. The textbook is "Teaching Mathematics in Secondary and Middle School" by James S. Cangelosi. Excerpt from Chapter 4:This statement makes me shudder. Math is brutally cumulative and a linear sequence of skills is often necessary. For example, how can you reduce fractions without having learned division? Leave it to ed schools to mistrain teachers in such an egregious fashion. One can only hope math continues to be "widely misunderstood."
"Because mathematics is widely misunderstood to be a linear sequence of skills to be mastered one at a time in a fixed order, some people think teaching mathematics is a matter of following a prescribed curriculum guide or mathematics textbook. ... “
Saturday, December 16, 2006
Over at edspresso there is a fascinating series of articles written by an ed student using the pseudonym John Dewey. In one of the installments, the student quotes from the textbook the class is using: