In mathematics education, representations are used in place of mathematical structures, ideas, or relationships to concretize, transform, and represent them. When students interact with these representations, they engage in various cognitive activities such as thinking, reasoning, understanding, remembering, problem-solving, attention, and…

With the ability to predict learning behaviors, artificial intelligence (AI) is increasingly involved in assessing the performance of problem solving. This study explored the potential of AI to predict whether mathematics problems could be solved based on eye movements and handwriting in a digital problem-solving environment. Sixty-one students…

Problem-solving process requires information processing, and the information processing is related to working memory capacity (WMC). This study aims to determine the effect of WMC on students' mathematical abilities and to describe the ability of the students with high and low WMC in solving mathematical problems. This research used mixed method…

This paper explores the impact of a tailored working memory training program on the mathematics achievement of secondary school students in Myanmar. While previous studies have investigated the relationship between working memory and mathematics, this study focuses on a context where computerized training programs are limited. Twelve Grade 8…

Attention-based learning tasks of modern classrooms require processing of information in working memory. Not much is known about the cognitive processes operating during these tasks. To gain an understanding of the processes that support cognitive functions like learning, we have monitored the activity of the brain waves emanating from the frontal…

We provide a detailed description of a purposefully sampled tutoring session during which a student with a learning disability displayed common tendencies we have seen in our work on algebra teaching. The student struggled with solving equations in general and especially with distribution and knowing how to distribute terms and what steps to take…

Open math problem solving is critical to help students deepen the understanding and promote transfer of mathematics knowledge. However, the cognitive mechanism for open math problem solving, particularly the role of spatial abilities, has not been paid enough attention. This study recruited 192 junior middle school students (14.30 ± 0.48 years…

Individual differences in Cattell-Horn-Carroll (CHC) cognitive abilities are related to individual differences in math problem solving. However, it is less clear whether cognitive abilities are associated with math problem solving directly or indirectly via math component skills and whether these relations differ across grade levels. We used…

The student's criterion for being diagnosed with MLD (Mathematics Learning Disabilities) can be classified as low arithmetic skills and poor working memory. The goal of this research is to understand students' process of thinking through the Polya stages when tackling arithmetic problems, as it has been expounded by Dr. Polya For students who have…

Intelligent Tutoring Systems (ITSs) for Math still use traditional data input methods: computers' keyboard and mouse. However, students usually solve math tasks using paper and pen. Therefore, the gap between the manner the students work and the requirements imposed by these typing-based systems expose students to an extraneous cognitive load,…

Background: Key to optimizing Computational Thinking (CT) instruction is a precise understanding of the underlying cognitive skills. Román-González et al. (2017) reported unique contributions of spatial abilities and reasoning, whereas arithmetic was not significantly related to CT. Disentangling the influence of spatial and numerical skills on CT…

Similarity is a topic in Geometry which investigates similar elements of a plane. This topic has a high complexity that generates cognitive load in working memory. A deep understanding of the concept is needed to solve similarity problems. Based on cognitive load theory, learning by goal-free problems is suggested since it can minimize cognitive…

A key affordance of game-based learning environments is their potential to unobtrusively assess student learning without interfering with gameplay. In this paper, we introduce a temporal analytics framework for stealth assessment that analyzes students' problem-solving strategies. The strategy-based temporal analytic framework uses long short-term…

Learners underperform in stoichiometry as they lack conceptual reasoning of the underlying concepts and the ability to solve stoichiometric problems. Therefore, it was necessary to determine if there is a statistical correlation between problem-solving skills and conceptual reasoning in stoichiometry and if so, whether one can significantly…

The researchers conducted a qualitative case study to describe the experiences of two seventh grade students with mild intellectual disability as they engaged in mathematics word problems involving proportions. The researchers analyzed student performance in large group settings and with individualized instruction to gain perspective on the…