A Learning Trajectory in 6-Year-Olds' Thinking about Generalizing Functional Relationships.

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A Learning Progression for Elementary Students’ Functional Thinking (2017, background): “The ordering of levels of sophistication in a progression can be informed by both the shifts observed in student thinking over time as well as the types of thinking that might be viewed as more sophisticated from a disciplinary perspective (e.g., Battista, 2004; Blanton et al., 2015).”
Children’s Use of Variables and Variable Notation to Represent Their Algebraic Ideas (2015, background): “…school students (grades 3–5) have had early algebra experiences that include regular use of variables, they outperform comparison students on assessment items that include, among others, variables and algebraic expressions (Blanton et al., 2015; Brizuela, Martinez, & Cayton-Hodges, 2013).”