Comments on the Use of Learning Trajectories in Curriculum Development and Research

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Middle Grade Teachers’ Learning through Students’ Engagement with Modeling Tasks* (2006, background): “While these principles are used to guide the development of tasks that promote student learning, the role of the teacher in relation to these characteristics of model-eliciting tasks has received relatively little attention (Baroody et al., 2004).”
An Alternative Reconceptualization of Procedural and Conceptual Knowledge. (2007, background): “Theoretically, they should provide connections with considerable understanding—a relatively strong and general basis for connecting procedures and concepts within and among domains and, thus, for promoting adaptive expertise (Baroody et al., 2004).”
A Learning Trajectory in 6-Year-Olds' Thinking about Generalizing Functional Relationships. (2015, background): “In particular, developing a trajectory in children’s thinking involves using empirical findings to construct content-specific learning goals and an associated instructional sequence (e.g., Baroody, Cibulskis, Lai, & Li, 2004; Gravemeijer, 2004).”
Solving Subtraction Problems by Means of Indirect Addition (2009, background): “Arguably, such a kind of instructional approach in which there is one best strategy for each (type of) sum and in which children receive direct instruction and training in how to select and execute the best strategy for each type of sum (without tolerance for variation in strategy choices and open d”