Researchers have emphasized the importance of characterizing students' abilities to
coordinate changes in covarying quantities. In this paper, we characterize three …

In this study, we examined graphical representations in several mathematics, science, and
engineering textbooks and practitioner journals with the goal of identifying similarities and …

Despite the importance of graphical reasoning, graph construction and interpretation has
been shown to be nontrivial. Paoletti et al.(2023) presented a framework that allows for a …

Although there is much research exploring students' covariational reasoning, there is less
research exploring the ways students can leverage such reasoning to coordinate more than …

An Analysis of Covariational Reasoning Pedagogy for the Introduction of Derivative in
Selected Calculus Textbooks Yixiong Chen S Page 1 An Analysis of Covariational …

Constructing and representing relationships between quantities is critical to develo**
meanings for various ideas in school mathematics. In this chapter, we characterize basic …

Quantitative reasoning permeates mathematical thinking, and mathematics education
researchers have taken a quantitative reasoning approach to examining and modeling …

Graphs are essential representations in mathematics, but many students only focus on
procedural rules when sketching graphs of equations. This study aims to describe the errors …

Inequalities are an important topic in school mathematics, yet the body of research exploring
students' meanings for inequalities largely points to difficulties they experience. Thus, there …

In this study, based on the analysis of a teaching experiment with middle school students,
we propose a framework for describing meanings of a point represented on a plane in terms …