Multiplicative reasoning is a key concept in elementary school mathematics. Item statistics reported by the National Assessment of Educational Progress (NAEP) assessment provide the best current indicator for how well elementary students across the U.S. understand this, and other concepts. However, beyond expert reviews and statistical analysis,…

This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…

This article makes two simple observations about high-stakes assessments. The first is that, because mathematics is a very technical subject, an assessment item can be mathematically flawed regardless of how elementary it is. For this reason, every assessment project needs the active participation of high level mathematicians. A second point is…

In conjunction with the adoption and subsequent implementation of the "Common Core State Standards for Mathematics" (CCSSM), state-led consortia are developing next-generation assessments aligned to the CCSSM. This paper discusses the progress and plans of two main coalitions of states--the Partnership for Assessment of Readiness for…