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.…

This study explored the role of growth in the executive components of working memory (WM) on second language (L2) mathematical problem-solving in elementary school children who are emerging bilinguals whose first language (L1) is Spanish. To this end, children (N = 429) in Grades 1, 2, and 3 at Wave 1 were administered a battery of math, reading,…

This study examined differences in transfer of analogical reasoning after analogy-problem solving between 40 gifted and 95 average-ability children (aged 9-10 years old), utilising dynamic testing principles. This approach was used in order to examine potential differences between gifted and average-ability children in relation to progression…

The purpose of this study is threefold: firstly, to explore the relationship between EFL learners' cognitive intelligence, emotional intelligence, and language learning achievement, secondly, to find out the relationship between EFL learners' language learning styles and strategies and their L2 achievement, and thirdly, to uncover the relationship…

The present study examines 5- to 8-year-old children's relation reasoning in solving matrix completion tasks. This study incorporates a componential analysis, an eye-tracking method, and a microgenetic approach, which together allow an investigation of the cognitive processing strategies involved in the development and learning of children's…

We recently proposed the Creative Reasoning Test (CRT), a test for reasoning in ill-defined problem spaces. The test asks children who first performed the Standard Progressive Matrices test (SPM) to next generate an SPM-style test item themselves. The item is scored based on different aspects of its complexity. Here we introduce a method to…

Attempted cognitive training of Raven's Progressive Matrices using guided self-discovery, but without directly providing strategies. Thirty-six older and 36 younger adults were pretested, underwent training, and were posttested. Found no significant difference in improvement between younger and older adults. Failed to find evidence for successful…

Researchers have examined inductive reasoning to identify different cognitive processes when participants deal with inductive problems. This article presents a prescriptive theory of inductive reasoning that identifies cognitive processing using a procedural strategy for making comparisons. It is hypothesized that training in the use of the…

A study of the responses made to problems selected from Raven's Progressive Matrices showed differences in the kinds of errors typically made by eighteen-year-old students. Nine problems were used and the 68 subjects were told to draw their answers on the answer sheets. There were two trials per puzzle. A classification system, devised for errors,…

The enhanced metalinguistic abilities demonstrated by additive-bilingual children, including superior control of cognitive processing, may promote the development of symbolic reasoning. Children educated in additive-bilingual (immersion) settings may maintain normal native-language development, while acquiring a second language. This study…

Discussed is an instructional approach, "concept-distillation," which involves experiences, games, and puzzles that have the "distilled essence" of the basic concepts of the physical sciences. This approach is designed to impart a vivid and dramatic meaning and structure of the sciences for transfer in scientific thinking. The…