Measure Up: A Quantitative View of Early Algebra

By Barbara J. Dougherty. 2017

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Children’s Use of Variables and Variable Notation to Represent Their Algebraic Ideas (2015, background): “…of students in grades earlier than middle school (e.g., Blanton et al., 2015; Cai, Ng, & Moyer, 2011; Carpenter et al., 2003; Carraher et al., 2008; Dougherty, 2008; Russell, Schifter, & Bastable, 2011; Schliemann et al., 2007; Schmittau, 2011; Schoenfeld, 2008) have also described different…”
A Learning Trajectory in 6-Year-Olds' Thinking about Generalizing Functional Relationships. (2015, background): “…indicates your acceptance of the Terms & Conditions of Use, available at http://www.jstor.org/page/ info/about/policies/terms.jsp JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive.”
The Development of Children's Algebraic Thinking: The Impact of a Comprehensive Early Algebra Intervention in Third Grade. (2015, background): “Our findings are consistent with other recent findings in the elementary grades (e.g., Brizuela et al., in press; Dougherty, 2008) that suggest young children are far more capable of using variable notation as a representational tool than previously thought; therefore, introducing these ideas in…”