Researchers and instructors have only recently embraced the role of errors as vehicles for learning in the algebra classroom. Studying a mixture of correct and incorrect worked examples has been shown to be beneficial relative to correct worked examples alone. This study examines the effectiveness of having students generate, or anticipate, errors…

When students solve problems on the Internet, they have to find a balance between quickly scanning large sections of information in web pages and deeply processing those that are relevant for the task. We studied how high school students articulate scanning and deeper processing of information while answering questions using a Wikipedia document,…

This paper studies the cognitive obstacles related to one aspect of mathematization in physics problem-solving, namely, what might be called "structuring for mathematization," where the problem situation is structured in such a way that a translation to a mathematical universe can be done. We report the results of an analysis of four…

Individuals with an aptitude for interpreting spatial information (high mental rotation ability: HMRA) typically master anatomy with more ease, and more quickly, than those with low mental rotation ability (LMRA). This article explores how visual attention differs with time limits on spatial reasoning tests. Participants were assorted to two…

Technology is becoming more integral across professional fields and within our daily lives, especially since the onset of the pandemic. As such, opportunities to learn computational thinking are important to all students--not only the ones who will eventually study computer science or enter the information technology industry. However, large…

One goal of undergraduate engineering education is to prepare students with the knowledge, skills, and decision-making strategies that are necessary for success in engineering practice. One proposed method to teach students these skills is to incorporate habits of mind into K-12 and undergraduate curricula. Habits of mind are the intelligent,…

Cognitive Load Theory's Four Component Instructional Design (4C/ID) Model has been used in mathematics education but not confirmed as an instructional theory. Using the Factors Influencing College Success in Mathematics (FICSMath) project and confirmatory factor equation modeling, we empirically validated the model and created the 4C/IDMath Model.…

The present study was an attempt to investigate the strategies emerging in the translation classes instructed through different approaches, namely behaviourist, cognitive and constructivist. One hundred twenty homogeneous senior students at upper-intermediate level of proficiency studying English Translation in the Iranian context took part in the…

This study investigated the cognitive factors that impact the completion of mathematics problems, specifically algebraic-reasoning, by individuals who use tactile materials (i.e., braille) compared to those who use print materials. The inquiry investigated working memory, task time, cognitive load, efficiency, and the predictive quality of…

Growing from the commognitive framework, this study is concerned with objectification -- a special way of talking about mathematical objects, which is key to one's concept formation. The study explores how objectification can be manifested in the discourse on square roots that unfolds in writing. The data comes from a class in a foundation…

Children's cognitive control and knowledge at school entry predict growth rates in analogical reasoning skill over time; however, the mechanisms by which these factors interact and impact learning are unclear. We propose that inhibitory control is critical for developing both the relational representations necessary to reason and the ability to…

Research shows that collaborative work promotes student learning and improves social skills, but teachers are still exploring how to best support problem-solving in a small group context, particularly in the science classroom. This study builds on prior research to characterise teacher interactions with small groups in secondary science and…

This study aimed to determine the cognitive process employed in problem-solving related to the concept of area conservation for seventh graders. Two students with different mathematical ability were chosen to be the subjects of this research. Each of them was the representative of high achievers and low achievers based on a set of area…

The present study aims at fostering undergraduate medical students' clinical reasoning by learning from errors. By fostering the acquisition of "negative knowledge" about typical cognitive errors in the medical reasoning process, we support learners in avoiding future erroneous decisions and actions in similar situations. Since learning…

According to the design principle of progressive schematization, learning trajectories towards procedural rules can be organized as independent discoveries when the learning arrangement invites the students first to develop models for mathematical concepts and model-based informal strategies; then to explore the strategies and to discover pattern…