The National Council of Teachers of Mathematics (NCTM) emphasizes the teaching of "Big Ideas" in mathematics. This study focuses on the part-part-whole (PPW) relationship as a crucial aspect of word problem solving involving addition and subtraction. This study, conducted in the United States, evaluated the effects of conceptual…

Future students are confronted with a complex world that demands the ability to solve problems in unstructured, undefined, and unfamiliar situations. The aim of the present study was to investigate the development of problem-solving skills through the implementation of Problem-Based Learning (PBL). While previous research has primarily focused on…

Participants rated Intuition, Suddenness, Pleasure, and Certainty accompanying their solutions to items of a popular fluid intelligence test -- Raven's Advanced Progressive Matrices (RAPM) -- that varied from easy (around 80% correct) to difficult (around 20% correct). The same ratings were collected from four insight problems interleaved with…

Objective: This study investigated the effect of Cognitive Rehabilitation Training (CRT) on executive functions, problem solving, and attention in students with a specific learning disorder (SLD). Method: Forty-two SLD students from the third to sixth grade (8-12 years old) were randomly assigned to 16 sessions of CRT (n = 21) or to a control (n =…

Mathematics achievement is core to South Africa's readiness for digital innovation, yet current pass rates in this subject are below the global average. Simply attributing mathematics performance to intelligence does not fully account for the multifaceted reality of achievement in the subject. The current study investigated the value of both…

Computational thinking -- the ability to reformulate and solve problems in ways that can be undertaken by computers -- has been heralded as a foundational capability for the 21st Century. However, there are potentially different ways to conceptualise and measure computational thinking, for instance, as generalized problem solving capabilities or…

The purpose of this study was to examine the effects of a number line intervention with supported self-explanation on student understanding of fraction magnitude and quality of explanation. Participants were three U.S. middle school students with significant behavior problems. Participants were given eight lessons containing explicit instruction…

This study investigates school-age children's arithmetic operations performance while solving larger-size problems which produces interferences in memory. Complex problems can trigger competing responses in working memory, which are irrelevant to a task goal and increase the likelihood of interference from previously learned problems (De Visscher…

Criterion-referenced testing is usually applied to the assessment of achievement. In this article, we suggest how it can also be applied to the assessment of adaptive intelligence, that is, intelligence as adaptation to the environment. In the era of the Anthropocene, we argue that adaptive intelligence is what is most important not only for…

The ability to reason and problem-solve in novel situations, as measured by the Raven's Advanced Progressive Matrices (RAPM), is highly predictive of both cognitive task performance and real-world outcomes. Here we provide evidence that RAPM performance depends on the ability to reallocate attention in response to self-generated feedback about…

Mathematical problem-solving is a core content of primary school education. Therefore, it is necessary to provide all students with a meaningful way of acquisition of problem-solving skills. The objective of this research was to verify the effectiveness of a problem-solving routine based on the Pólya's model and the use of cognitive strategies…

This study examined auditive and visual working memory and metacognitive knowledge in 92 gifted children (aged between eight and twelve), utilising a pre-test-training-post-test design, known as the cognitive training design. This approach was used to examine the working memory and metacognitive knowledge of gifted children concerning the…

This article explores the advantages of viewing intelligence not as a fixed trait residing within an individual, but rather as a person × task × situation interaction. The emphasis in the article is on the role of persons solving tasks embedded in situations involving learning, intellectual abilities, and competencies. The article opens with a…

An assessment of graphic literacy was developed by articulating and subsequently validating a skills-based cognitive model intended to substantiate the plausibility of score interpretations. Model validation involved use of multiple sources of evidence derived from large-scale field testing and cognitive labs studies. Data from large-scale field…

The scientific approach to the study of creative problem-solving has shifted from using classic insight problems (e.g., the "Nine-dots" problem), toward sets of problems that have more robust psychometric properties, such as the Remote Associate Test (RAT). Because it is homogeneous, compact, quickly solvable, and easy to score, the RAT…