The three target articles presented in this special issue converged on an emerging theme: the importance of spatial proportional reasoning. They suggest that the ability to map between symbolic fractions (like 1/5) and nonsymbolic, spatial representations of their sizes or "magnitudes" may be especially important for building robust…

The recent review of Australian Curriculum represents an opportunity to significantly change the teaching of primary mathematics in Australia and perhaps elsewhere. The current curriculum document presents content in a linear and compartmentalized manner that dominates its structure and doesn't explicitly accentuate the links and connections found…

Open-ended tasks for developing numeracy skills reflect the fact that real-life math problems are seldom closed or have a single right answer. The "giving a party" problem shows how different math concepts and problem-solving skills can be brought out in open-ended tasks. (SK)

After 10 years of teaching rule-driven, procedure-based, algorithm-oriented mathematics, an elementary teacher describes how she began to rethink her teaching style after returning to school for a graduate degree. Her rethinking is based on the first of four student teaching events that spanned an entire school year in which she used the…