| Abstract: | The middle-grades mathematics related to multiplicative structures has undergone careful scrutiny over the past decade. Researchers
have identified the types of reasonings involved; the difficulties students have with the concepts and why these difficulties
might occur; and the interconnections within this content area. On the basis of this research we make four recommendations
for the preparation and professional development of teachers. The recommendations deal with different but related forms of
reasoning: quantitative reasoning, multiplicative reasoning, proportional reasoning, and reasoning with rational numbers.
Problematic issues that follow from the recommendations are discussed.
This revised version was published online in July 2006 with corrections to the Cover Date. |
