An underexplored aspect of the relationship between analogical reasoning and creativity is its phenomenology; in particular, the notion that analogical reasoning is related to insight and its associated "aha!" experience. However, the relationship between these phenomena has never been directly investigated. We adapted a set of verbal…

Algebraic thinking and strategy flexibility are essential to advanced mathematical thinking. Early algebra instruction uses 'missing-operand' problems (e.g., x - 7 = 2) solvable via two typical strategies: (1) direct retrieval of arithmetic facts (e.g., 9 - 7 = 2) and (2) performance of the inverse operation (e.g., 2 + 7 = 9). The current study…

In this article we present an overview of four studies investigating Greek secondary students' conceptual and procedural knowledge of fractions. We discuss the problem of defining conceptual and procedural knowledge, and the implications of adopting one particular definition over others. We draw on the studies and their results to discuss the…

In bilingual literature, few studies have examined the processes of concept formation (CF); even fewer studies have discussed their developmental changes. This study explores language-cognition links and CF fractionation processes by comparing total and partial immersion programmes (TIPs and PIPs). Descriptive statistics (DS), correlational…

The purpose of the study was to determine whether individual differences in at-risk 4th graders' language comprehension, nonverbal reasoning, concept formation, working memory, and use of decimal labels (i.e., place value, point, incorrect place value, incorrect fraction, or whole number) are related to their decimal magnitude understanding.…

Previous research has demonstrated the efficacy of two explanation-based approaches for increasing learning in educational games. The first involves asking students to explain their answers (self-explanation) and the second involves providing correct explanations (explanatory feedback). This study (1) compared self-explanation and explanatory…

This study examined the generality of the logarithmic to linear transition in children's representations of numerical magnitudes and the role of subjective categorization of numbers in the acquisition of more advanced understanding. Experiment 1 (49 girls and 41 boys, ages 5-8 years) suggested parallel transitions from kindergarten to second grade…

Discussion centered on three sets of factors that may influence the variability observed in "concept identification" (concept formation and discrimination learning) studies: stimulus characteristics, incentives employed, and subject characteristics. Stimulus characteristics are described in terms of the number of dimensions…

The research reported here was designed to measure the abilities of school-age children to form and generalize "visual concepts" on the basis of their observation of prepared sets of art reproductions. The art reproduction sets displayed similarities based upon various visual attributes. Discrimination of the attributes common to any…