Relational reasoning, or the ability to identify meaningful patterns within streams of information, has emerged as an important factor in a variety of complex tasks. One factor that has received relatively little research attention, however, is how relational reasoning may be influenced by the representational systems (i.e., verbal or nonverbal)…

The present study longitudinally investigated proportional reasoning abilities in early elementary school before the start of its instruction. Three aims were put forward: (a) distinguishing the different developmental states in young children's understanding of missing-value proportional situations, (b) investigating how children transition…

Building on rich training literature, we examined which skills constituting the control-of-variables strategy (CVS) benefit from a comprehensive training, and which develop similarly during content-focused inquiry at ages 10-12. In addition, we examined whether prior knowledge, reasoning abilities, and reading comprehension explain variation in…

The overarching goal of this 2-phase study was to investigate the contributions of relational reasoning to mathematical thinking and performance for 790 primary and middle-school Chinese students. Phase I of the study was undertaken to establish the reliability and validity of the Test of Relational Reasoning-Junior (TORRjr), a 32-item measure…

Research in attribution theory has shown that students' causal thinking profoundly affects their learning and motivational outcomes. Very few studies, however, have explored how students' attribution-related beliefs influence the causal thought process. The present study used the perceived control of the attribution process (PCAP) model to examine…

Understanding many scientific phenomena, processes, or systems may be especially dependent on a student's ability to visualize or manipulate spatial information in order to construct mental representations. One instructional technique often included in science texts to help students to understand difficult concepts is the use of concrete or…

This article reports an experimental study on the effects of explicit teaching on 11th grade students' ability to reason causally in history. Underpinned by the model of domain learning, explicit teaching is conceptualized as multidimensional, focusing on strategies and second-order concepts to generate and verbalize causal explanations and…

The sequence in which problems of different concepts are studied during instruction impacts concept learning. For example, several problems of a given concept can be studied together (blocking) or several problems of different concepts can be studied together (interleaving). In the current study, we demonstrate that the 2 sequences impact concept…

Relational reasoning, the ability to discern meaningful patterns within a stream of information, is considered a critical capacity for students. However, little is known about how this ability is demonstrated by children of different ages in the context of discourse with a more knowledgeable other. Thus, this study sought to investigate the ways…

Relational reasoning, which has been defined as the ability to discern meaningful patterns within any informational stream, is a foundational cognitive ability associated with education, including in scientific domains. This study entailed the analysis of instructional conversations in which an attending clinical neurologist and his team of…

How best to promote fluency with basic sums and differences is still not entirely clear. Some advocate a direct approach--using drill to foster memorization of basic facts by rote. Others recommend an indirect approach that first involves learning reasoning strategies. The purpose of the present study was to evaluate the efficacy of 2…

This study investigated the relational reasoning capabilities of older adolescents and young adults when the focal assessment was a verbal and more schooled measure than 1 that was figural and more novel in its configuration. To achieve this end, the verbal test of relational reasoning (vTORR) was constructed to parallel the test of relational…

Comparing multiple solutions to a single problem is an important mode for developing flexible mathematical thinking, yet instructionally leading this activity is challenging (Stein, Engle, Smith, & Hughes, 2008). We test 1 decision teachers must make after having students solve a problem: whether to only verbally discuss students' solutions or…

Complex problem solving (CPS) as a cross-curricular competence has recently attracted more attention in educational psychology as indicated by its implementation in international educational large-scale assessments such as the Programme for International Student Assessment. However, research on the development of CPS is scarce, and the few…

Explanations of the marked individual differences in elementary school mathematical achievement and mathematical learning disability (MLD or dyscalculia) have involved domain-general factors (working memory, reasoning, processing speed, and oral language) and numerical factors that include single-digit processing efficiency and multidigit skills…