In this study, the visual estimation skills of fourth grade elementary school students based on their mathematical thinking processes were investigated. The research questions focus on understanding how students' mathematical thinking processes influence their visual estimation skills. A total of 445 students participated in the study. The…

Children's arithmetic performance is dependent on the arithmetic task format, but little is known about how domain-specific and domain-general abilities contribute to solving diverse arithmetic problems. In this study, 145 Italian typically developing children between the ages of five and six, who have not yet received formal schooling, were…

This study investigates middle school students' reasoning about parallelism and perpendicularity of two line segments. Data were collected from 83 middle school students through an identification task consisting of various examples and non-examples of the parallelism and perpendicularity of two line segments. One-to-one interviews were also…

Background: The ability to translate concrete manipulatives into abstract mathematical formulas can aid in the solving of mathematical word problems among students, and metacognitive prompts play a significant role in enhancing this process. Aims: Based on the concept of semantic congruence, we explored the effects of metacognitive prompts and…

We explored the potential of a robotics application in education as a measurement tool of child executive functioning skills. Sixty-five kindergarteners received assignments to go through a maze with a programmable robot, the Bee-Bot. Via observation we quantified how they solved these tasks. Their performance was successfully aggregated into a…

Typical physics textbook problems often include supportive diagrams that visualize the physical situation although the potential benefits of providing such diagrams is not yet fully established. We used eye tracking to explore the role of supportive diagrams in problem solving. Including a supportive diagram with the text of the problem improved…

Paper folding studies are quite effective in the development of students' visual and spatial skills. The "paper" used in these studies is a genuine tool that can support the development of geometric habits of mind as well as the visual-spatial skills. This is an action research aimed to investigate the potential of paper folding to…

This study aimed to investigate the extent to which WM measured in kindergarten predicts WM measured in second grade (stability of individual WM progress) and the extent to which WM measured at kindergarten predicts academic performance at second grade (N = 94). The results showed that WM skills significantly increase during the time span from…

Literature suggests that drawing has an important role in the development of learning and thinking skills and the communication of ideas. However, the role and use of drawing by young learners within the process of designing is poorly understood. Working with 22 Grade 3 learners from a well-resourced school in KwaZulu-Natal, this study sought to…

The 8-coin insight problem requires the problem solver to move 2 coins so that each coin touches exactly 3 others. Ormerod, MacGregor, and Chronicle (2002) explained differences in task performance across different versions of the 8-coin problem using the availability of particular moves in a 2-dimensional search space. We explored 2 further…

In configuration problems, such as the construction of a weekly study schedule, decision makers must assemble a combination of parts under a set of constraints. Interactions may be present between the parts, and more than a single objective function may exist, such as minimizing the number of days on campus and maximizing the interest level of the…

The Traveling Salesperson Problem (TSP) is a computationally difficult combinatorial optimization problem. In spite of its relative difficulty, human solvers are able to generate close-to-optimal solutions in a close-to-linear time frame, and it has been suggested that this is due to the visual system's inherent sensitivity to certain geometric…

This study compares Singaporean Grade 6 students' performance and strategy preference on two graphic-rich mathematics tasks, presented via pencil-and-paper and iPad modes. There were statistically significant differences between students' performances on the two tasks, one in favour of the paper mode and the other in favour of the iPad. Students…

The aim of this study was to analyse the role of verbal and visuo-spatial working memory (WM) and language skills (vocabulary, listening comprehension) in predicting preschool and kindergarten-aged children's ability to solve mathematical word problems presented orally. The participants were 116 Finnish-speaking children aged 4-7?years. The…

Complex problem solving is often an integration of perceptual processing and deliberate planning. But what balances these two processes, and how do novices differ from experts? We investigate the interplay between these two in the game of SET. This article investigates how people combine bottom-up visual processes and top-down planning to succeed…