Fluency, Accuracy, and Gender Predict Developmental Trajectories of Arithmetic Strategies.

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Spatial Skills as a Predictor of First Grade Girls' Use of Higher Level Arithmetic Strategies. (2013, background): “They also abandon the use of concretematerials for counting out the answers to arithmetic problems more slowly than boys (Carr & Alexeev, 2011).”
Reaching the Mountaintop: Addressing the Common Core Standards in Mathematics for Students with Mathematics Difficulties (2013, background): “Many students with MD who struggle with early foundational skills will continue to struggle because the foundational skills are paramount to competence with higher-order math skills (Carr & Alexeev, 2011).”
Girls’ Spatial Skills and Arithmetic Strategies in First Grade as Predictors of Fifth-Grade Analytical Math Reasoning (2017, background): “…and decomposition in first and second grades predict math performance in third, fourth, and fifth grades involving arithmetic word problems and math achievement tests (Carr & Alexeev, 2011; Carr, Hettinger Steiner, Kyser, & Biddlecomb, 2008; Fennema, Carpenter, Jacobs, Franke, & Levi, 1998).”