The relation to operands (RO) principles describe the relation between operands and answers in arithmetic problems (e.g., the sum is always larger than its positive addends). Despite being a fundamental property of arithmetic, its empirical relation with arithmetic/algebraic problem solving has seldom been investigated. The current longitudinal…

Students' understanding of the meaning of the equal sign develops slowly over the primary grades. In addition to updating their representations of equations to recognize that the equal sign represents an equivalence relation rather than signaling an operation, students need to move beyond full computation to efficiently solve equivalence problems.…

The Feuerstein Instrumental Enrichment (FIE) Program is a process-oriented program based on "Structural Cognitive Modifiability and Mediated Learning Experience" (SCM-MLE) theory. It is aimed at promoting learning how to learn, development of deficient cognitive functions, problem-solving strategies and metacognitive abilities. The FIE…

The relationships between visuo-spatial abilities and geometry performances in school-aged children were examined. A battery of tests assessing non-verbal reasoning, visuo-spatial mental imagery, and academic achievement in geometry (i.e., geometric knowledge and geometric problem-solving competencies) was presented to 162 8-9.5-year-old pupils…

In this quasi-experimental study, 142 fifth and sixth grade students at a suburban elementary school in Northwest Washington State participated in a week-long, 10-hour project using the "LEGO Mindstorms Robotics Invention System" (RIS). Partners constructed and programmed one robot from visually-based LEGO instructions and a second of…