Findings discussed in this paper are from a larger research project exploring mathematical
fluency characteristics, and teacher noticing and interpreting of mathematical fluency. The …

Achieving fluency in arithmetic operations is vital if students are to develop mathematical
creativity and critical thinking abilities. Nevertheless, a substantial body of literature has …

In recent decades, the aims and objectives of education–and therefore public discourse on
the appropriate skills and attributes of mathematics teachers–have been rapidly shifting due …

Abstract 'Procedural'fluency in mathematics is often judged solely on numerical
representations.'Mathematical'fluency incorporates explaining and justifying as well as …

The exploration of children's drawings as mathematical representations is a current focus in
early years mathematics education research. This paper presents a qualitative analysis of …

In sharing solutions of mathematical tasks, students may use various modes of
representation such as: language (oral/written), numerical and symbolic, or drawings …

Exploring the Efficacy of a Spatial Reasoning Approach to Teaching and Learning Fractions in
the Early Years Page 1 Exploring the Efficacy of a Spatial Reasoning Approach to Teaching …