Mathematical modeling involves using mathematics to represent, analyze, and make predictions or decisions about real- world situations. Garfunkel and Montgomery (2016) elaborate on six components of the mathematical modeling process, including identifying the problem, making assumptions and identifying variables, doing the math, analyzing and…

Scholars use "position" to refer to the social expectations and range of available things a person can say and do in any given interaction (Harré and van Langenhove 1999; van Langenhove 2011). In the classroom, there are different social expectations for teachers and students. Teachers are often expected to give directions, present…

Lina, a Mexican American second grader, bilingual in Spanish and English, used a strategy for adding two two-digit numbers that the authors share as an example of the importance of listening to the mathematical ideas of children, especially when these ideas do not align with how mathematics is traditionally represented in the classroom. The…