UW’s Dick Askey emailed links to two of his papers on Elementary Math Curriculum:
- Good Intentions Are Not Enough (PDF)
While there was a need to do something to improve school mathematics education, NCTM did not face up to the most critical problem, the lack of firm content knowledge of far too many teachers. There were other lacks in their program. NCTM did not look seriously at mathematics education in other countries. Mathematicians were not involved in the development of the Standards. The NCTM authors of their Standards had the strange notion that it is possible to teach conceptual understanding without developing technical skill at the same time. Instances of all of these failures and what came from them will be given below.
- Knowing and Teaching Elementary Mathematics (PDF)
Elementary school mathematics, it turns out, is not so elementary. This means that teaching it well requires much deeper mathematical knowledge than almost everyone has thought. There will be no math reform unless we provide teachers with the training, textbooks, time, and support needed to develop this knowledge.