Fractions and algebra are critically important components of the mathematics education of the youth. Unfortunately, however, students have typically struggled in these areas. For this reason, teachers and researchers have focused their attention on these topics for at least the past century. This article discusses what research shows regarding…

In recent times there has been considerable commentary regarding the need to enhance mathematical assessment as evidenced by "Numeracy, A Priority for All: Challenges for Australian Schools" (2000). This emphasis on assessment is timely because, although the mathematical reform movement has produced much needed improvements in both curriculum and…