Functional fixedness involves difficulty with conceptualizing creative object uses. When it obstructs problem-solving, individuals must reframe their approach. We examined how different training techniques--chunk decomposition (i.e., considering an object's basic parts and physical properties) and constraint relaxation (i.e., considering an…

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…

This article draws from Hiroko Kawaguchi Warshauer's conceptualisation of productive struggle, which capitalises on experiences that elicit struggle, that is, those that require students to 'expend intellectual effort' and that are productive, in the sense that they seek to 'advance thinking and deepen' understanding of mathematical concepts and…

In this article, we leverage ideas from the theory of coevolutionary computation to analyze interactions of students with problems. We introduce the idea of "informatively" easy or hard concepts. Our approach is different from more traditional analyses of problem difficulty such as item analysis in the sense that we consider Pareto…

Technology, Engineering, and Mathematics (STEM) fields are in high demand. These fields all require sufficient math ability. However, many university students suffer from math anxiety. This study conducted an experiment to explore the influence of math anxiety on university students' challenging math problem-solving behavior and whether autonomy…

This investigation explores the relationship between the use of digital pencil and mathematical problem-solving accuracy among 1,530 students with learning disabilities (LD) and 25,400 general education (GE) peers from the 2017 digital National Assessment of Educational Progress mathematics assessment. The term "digital pencil" in this…

This investigation explores the relationship between the use of digital pencil and mathematical problem-solving accuracy among 1,530 students with learning disabilities (LD) and 25,400 general education (GE) peers from the 2017 digital National Assessment of Educational Progress mathematics assessment. The term "digital pencil" in this…

This article demonstrates how instructors of professionalism and ethics training programs can integrate a professional decision-making tool in training curricula. This tool can help trainees understand how to apply professional decision-making strategies to address the threats posed by a variety of psychological and environmental factors when they…

Research often examines cognitive load as it relates to direct instruction, worked examples and problem-solving combined as an integrated whole. The present study examines these strategies in isolation to see their effect on cognitive load. Using learning materials covering the basics of critical thinking to undergraduate law students (n = 160) at…

Mathematics pre-service teachers (PSTs) need opportunities to learn best practices in teaching mathematics, e.g., productive struggle. Productive struggle happens when students work through challenging problems that are not straightforward. This paper describes mathematics PSTs' engagement with productive struggle in a mathematics methods course.…

During collaborative small group problem-solving, a group member with a minority perspective has a notable influence on the majority's perspective. However, the type of interactions with such a member could influence a stalemate, and the relationships between internal and task conflicts and the convergence process remain unclear. This study…

The issue of students' difficulties in solving context-based mathematics problems has been extensively investigated by numerous studies. However, limited study focus on how pre-service primary school teacher (PSPSTs) encounter difficulties in solving context-based fundamental mathematics problems. To fill this gap, this study aims to investigate…

Although student covariation reasoning has been explored in depth to improve understanding of the correspondence between variables, research has focused on studying existing reasoning about variables in Cartesian representations. The working method had a qualitative approach, with a descriptive exploratory scope, the spontaneous representations…

The paper examined the relations among problem solving, automaticity, and working memory load (WML) by changing the difficulty level of task characteristics through two applications. In Study 1, involving 68 engineering students, a 2 (automaticity) x 2 (WML) design was utilized for arithmetic problems. In Study 2, involving 76 engineering…

Real-world mathematical problem (RWMP) solving and posing are important aspects of teaching and learning mathematical modelling, as well as developing a mathematization disposition for both teachers and students. Several researchers have explored blockages or difficulties in such modelling processes and in problem posing. However, prior research…