Although basing instruction on learning trajectories (LTs) is often recommended, there is little direct evidence regarding the premise of a LT approach—that instruction should be presented (only) one LT level beyond a child’s present level. We evaluated this hypothesis in the domain of early shape composition. One group of preschoolers, who were at least two levels below the target instructional LT level, received instruction based on an empirically validated LT. The counterfactual (skip-levels) group received an equal amount of instruction focused only on the target level. At posttest, children in the LT condition exhibited significantly greater learning than children in the skip-levels condition, mainly on near-transfer items; no child-level variables were significant moderators. Implications for theory and practice are discussed.
Although basing instruction on a learning trajectory (LT) is often recommended, there is little evidence regarding a premise of a LT approach-that to be maximally meaningful, engaging, and effective, instruction is best presented 1 LT level beyond a child's present level of thinking. We evaluated this hypothesis using an empirically validated LT for early arithmetic with 291 kindergartners from four schools in a Mountain West state. Students randomly assigned to the LT condition received one-on-one instruction 1 level above their present level of thinking. Students in the counterfactual condition received 1-on-1 target-level instruction that involved solving story problems three levels above their initial level of thinking (a skip or teach-to-target approach). At posttest, children in the LT condition exhibited significantly greater learning, including target knowledge, than children in the teach-to-target condition, particularly those with low entry knowledge of arithmetic. Child gender and dosage were not significant moderators of the effects.
Educational Impact and Implications StatementThe results of this study underscore the benefits of teaching early arithmetic following learning trajectories, that is, providing instruction that is just beyond a child's present level of thinking. Children who experience this approach learned significantly more than pre-target and target-level knowledge those who were taught the only target skills for the same time period. Therefore, instruction following learning trajectories may promote more learning, including learning target competencies, than an equivalent amount of instruction on these target competencies with developmentally unready children.
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