Research suggests that expert understanding is characterized by coherent mental
representations featuring a high level of connectedness. This paper advances the idea that …

Although approximately 5–8% of students have a mathematical learning disability (MLD),
researchers have yet to develop a consensus operational definition. To examine how MLD …

This survey of the state of the art on research in early algebra traces the evolution of a
relatively new field of research and teaching practice. With its focus on the younger student …

This chapter presents the results of a longitudinal investigation on the emergence of
symbolic algebraic thinking in young students in the context of sequence generalization. The …

The study of functions is a critical route into teaching and learning algebra in the elementary
grades, yet important questions remain regarding the nature of young children's …

To understand relationships between students' fractional knowledge and algebraic
reasoning in the domain of equation writing, an interview study was conducted with 12 …

The nature of mathematical reference fields has substantially evolved with the advent of new
types of digital technologies enabling students greater access to understanding the use and …

In this article we advance characterizations of and supports for elementary students'
progress in generalizing and representing functional relationships as part of a …

In this chapter, we discus s the algebra framework that guides our work and how this
framework was enacted in the design of a curricular approach for systematically developing …

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 …