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…

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…

Physics and Mathematics are two deeply interlinked domains of Science. Mathematics is considered as the language in which the Physics theories are built by employing mathematical symbols and operations to make equations and representations in the world of Physics completely meaningful. In spite of being the backbone of Physics, the use of…

Klauer and Phye's "Cognitive Training for Children" ("Cognitive training for children: a developmental program of inductive reasoning and problem solving." Hogrefe & Hogrefe Publisher, Kirkland, 1994) provides instruction in inductive reasoning through a sequence of 120 illustrations following a prescribed two-way…

The use of structural representations to convey spatial and chemical information is an integral part of organic chemistry. As a result, students must acquire skills to interpret and translate between the various diagrammatic forms. This article summarizes the skills sets, problem-solving strategies, and identified student difficulties in…

In this study, we analyzed the imprecise (i.e., less mathematically precise) responses that 148 third- to fifth-grade Chinese students made on selected-response problems that were part of a spontaneous mathematical focusing task, the Quantitative Relations Test for Chinese Children (QRTC[superscript 2]). The purpose for this analysis was to…

This research addressed Hungarian pre-service and in-service (both elementary and lower secondary) teachers' pedagogical content knowledge concerning the teaching of word problem solving strategies. By means of a standardized interview protocol, participants (N = 30) were asked about their judgement on the difficulty of teaching word problems, the…

This paper describes a classroom demonstration that showcases how pre-existing beliefs (e.g., stereotypes) influence problem-solving. Across four studies, participants solved riddles with gender stereotype-consistent (e.g. doctor is male) or gender stereotype-inconsistent (e.g., doctor is female; barber is female) solutions. Solve time, perceived…

For learners, it can be difficult to imagine how to perform a complex skill based on textual information from solely a text-based analytic rubric. Rubrics lack (1) the contextual information needed to convey real-world attributes (2) the dynamic information (such as gesturing in the complex skill of presenting) (3) the procedural information…

The aim of this mixed methods study was to investigate the difficulties prospective elementary mathematics teachers have in solving the Programme for International Student Assessment (PISA) 2012 released items. A mathematics test consisting of 26 PISA items was administered, followed by interviews. Multiple data were utilized to provide rich…

Elementary school students struggle in interpreting the equal sign as a symbol denoting equivalence. Although many have advocated using a pan-balance scale to help students develop this understanding, less is known about what features associated with this model support learning. To attempt to control and examine these features, the investigators…

Learning and performance are not always commensurable. Conditions that maximize performance in the initial learning may not maximize learning in the longer term. I exploit this incommensurability to theoretically and empirically interrogate four possibilities for design: productive success, productive failure, unproductive success, and…

Client projects have long been recognized for their value as an experiential learning device and as a way to increase a wide range of skills, including critical thinking and problem solving. The extant literature, however, has not fully explored the relationship among student attitudes, learning outcomes, and project evaluations. Through…

Several studies related to mathematical proof have been done by many researchers on high-level materials, but not yet examined on the material of transformation geometry. The aim of this research is identification learning obstacles pre-service teachers on transformation geometry. This study is qualitative research; data were collected from…

An individual's learning is determined by cognition, motivation, and social context. Taking these aspects into account, we assessed scaffolding in tutoring situations via contingency to determine how successful and unsuccessful teacher-student interactions are shaped. We aimed to find out how the problem-solving process in successful tutoring…