Visuospatial representations of numbers and their relationships are widely used in
mathematics education. These include drawn images, models constructed with concrete …

This thesis examines the particular difficulties with multiplicative thinking experienced by
students with very low attainment in school mathematics, and the representational strategies …

This study investigated characteristics of visual representation use that underlie successful
problem-solving across ages and levels of mathematical knowledge. We re-examined …

Using Visualization to Generalize on Quadratic Patterning Tasks Page 1 588 MATHEMATICS
TEACHER | Vol. 110, No. 8 • April 2017 Students think about two tasks that appear similar but …

This on-going design-based research study focuses on Grade 4-6 students' guided task-
based interaction with a novel computer-based hand-tracking system built to suggest the …

What does it mean to have a visual representation of a mathematical object, concept, or
process? What visualization strategies support growth in mathematical thinking, reasoning …

Unlike a child's observable, physical interactions with mathematical tools (eg, physically
touching blocks in order to count them), the subtle manifestations of imagery construction …

Curricular reforms have promoted the use of a variety of representations to support learners'
access to mathematics. This gives rise to concerns about the coherence among these …

This chapter discusses how digital resources can transform the teaching and learning of
arithmetic from embodied cognition and new materialist perspectives. Focusing on and …

This chapter explores the visual and imagistic aspects of cybernetic manipulatives, how they
may be designed to improve upon physical manipulatives, what their potentials and pitfalls …