This study assessed the effectiveness of a spatialized mathematics intervention on the mathematical performance and spatial visualization skills of students from an underprivileged Indonesian community. Grade 8 students (N = 407) were assigned to one of twelve experimental classes, receiving the spatial mathematics intervention, or one of seven…

Intuitive knowledge seems to influence human decision-making outside of consciousness and differs from deliberate cognitive and metacognitive processes. Intuitive knowledge can play an essential role in problem solving and may offer the initiation of subsequent learning processes. Scientific discovery learning with computer simulations leads to…

Century Analytics, Inc. conducted a rigorous evaluation of Edmentum's Exact Path to estimate the impact of Exact Path use on student achievement in reading in kindergarten through Grade 3. Exact Path is an online educational tool designed to support individualized student instruction. This study's quasi-experimental design (QED), analyses, and…

Flexibility in transforming algebraic expressions is recognized as fundamental for a rich procedural knowledge. Here, flexibility in-depth is proposed as the ability to apply one strategy to a wide range of unfamiliar expressions. In this study, design experiments with four groups of students were conducted to support students' flexibility…

Century Analytics, Inc. conducted a rigorous evaluation of Edmentum's Exact Path to estimate the impact of Exact Path use on student achievement in mathematics in kindergarten through Grade 8. Exact Path is an online educational tool designed to support individualized student instruction. This study's quasi-experimental design (QED), analyses, and…

Thus far, it is unclear how students can learn most effectively from their own errors. In this study, reflections on the rationale behind self-made errors are assumed to enhance knowledge acquisition. In a field experiment with pre/post/follow-up design, the authors practiced fractions with 174 seventh- and eighth-grade students who were randomly…

Two ways of measuring change are presented and compared: A conventional "change score", defined as the difference between scores before and after an interim period, and a process-oriented approach focusing on detailed analysis of conceptually defined response patterns. The validity of the two approaches was investigated. Vocabulary…

This study investigated the effectiveness of "Solve It!" instruction on students' knowledge of math problem-solving strategies. "Solve It!" is a cognitive strategy intervention designed to improve the math problem solving of middle school students with learning disabilities (LD). Participants included seventh- and eighth-grade…

Not all children cope equally well with the stresses and traumas life throws their way, and every educator recognizes that "deer in the headlights" look some children get when current events and past traumas combine to trigger a fight-or-flight stress response. No matter how safe the classroom may be in reality, trauma deactivates cognitive…