Covariation and covariational reasoning have become key themes in mathematics
education research. In this paper, I build on the construct of covariation by considering cases …

Researchers have argued that covariational reasoning is foundational for learning a variety
of mathematics topics. We extend prior research by examining two students' covariational …

We posit a dual approach to digital task design: to engineer opportunities for students to
conceive of graphs as representing relationships between quantities and to foreground …

The overwhelming majority of efforts to cultivate early mathematical thinking rely primarily on
counting and associated natural number concepts. Unfortunately, natural numbers and …

Said succinctly, transfer refers to relations of similarity students construct during and among
learning experiences. Researchers' recent descriptions of transfer include explaining how …

This study was conducted to optimize the designs of learning guides embedded in a
computer-based simulation environment. The research was based on the Cognitive Theory …

This study investigated teachers' conceptualizations of different forms of complex numbers in
a professional development study (PD) conducted with classroom teaching experiments …

The purpose of this study is to examine the characteristics of students' thinking about
aspects of graphs in the context of evaluating statements about real-valued functions from …

Reaction coordinate diagrams (RCDs) are chemical representations widely employed to
visualize the thermodynamic and kinetic parameters associated with reactions. Previous …

Quantitative reasoning is important in the development of K–16 mathematical ideas such as
function and rate of change. Coordinate systems are used to coordinate sets of quantities by …