This study analyses the view of students' mental models in solving mathematical problems. The study employed a literature review using well-accepted and robust guidelines. Data were collected by searching books and articles of journals. Data analysis techniques were done qualitatively. The finding of this study showed that the mental model is…

"Statistical Learning" (SL) involves the extraction of organizing principles from a set of inputs. Recent advances in SL suggest that SL is a componential construct. To better characterize the componential nature of SL, a strategy may be to turn to literature regarding memory and learning. The current study sought to extend the…

Background: Tasks that involve retrieving information from memory, such as answering short answer questions, are more effective at improving learning than restudying, concept mapping, and other study techniques. However, little is known about how often teachers naturally provide these retrieval practice opportunities during lectures and classroom…

Whereas some evidence exists that math anxiety may interfere with math performance from the very beginning of primary school, no study to date has attempted to investigate whether math anxiety may also interfere with early math learning (i.e., the encoding of new math knowledge) and not only with recalling already mastered contents in test…

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.…

Research has yet to make measurable progress toward understanding how to help students with math learning disabilities (MLDs) overcome their persistent difficulties. Prior research has traditionally framed MLDs as cognitive deficits and studied these deficits by analyzing failing students' errors. In this paper, we provide an alternative. We…

Communications studies and psychology offer analytical and methodological tools that when combined have the potential to bring novel perspectives on human interaction with technologies. In this study of children using simple and complex mathematics applications on tablet computers, cognitive load theory is used to answer the question: how…

The purpose of this research is to develop a multidimensional computerized adaptive test for diagnosing the cognitive process of grade 7 students in learning algebra by applying multidimensional item response theory. The research is divided into 4 steps: 1) the development of item bank of algebra, 2) the development of the multidimensional…

This publication provides research-based guidance for intensifying instruction in reading and mathematics for students with significant learning difficulties, including students with disabilities, in kindergarten through grade 12. The guide gives technical assistance providers and states information reflecting "best practices" for implementing…

Basic brain function is not a mystery. Given that neuroscientists understand the brain's basic functioning processes, one wonders what their research suggests to teachers of developmental algebra. What if we knew how to teach so as to improve understanding of the algebra taught to developmental algebra students? What if we knew how the brain…

Contemporary debates on effective pedagogies for K-12 mathematics have called for shifts in the way teachers and teacher educators conceptualise mathematics as a subject and how it should be taught. This is reflected by changes in the curriculum including the inclusion of a strand called Working Mathematically within K-12 mathematics curriculum…

This author states that she has lost count of the number of times that she has watched a student have the thrill of an "aha!" moment in a math classroom only to later discover that he or she forgot the skill, lost track of the process, or could not demonstrate their learning when assessment time rolled around. It is frustrating for teachers and…

Fetal alcohol spectrum disorder (FASD) is a lifelong condition that significantly affects the individual's learning, development, behavior, family, and quality of life. Diagnosing children with this condition and providing effective supports is challenging for professionals because little intervention research has been performed with the…

There is evidence for both semantic and asemantic routes for naming Arabic digits, but neuropsychological dissociations suggest that number-fact retrieval (2x3=6) can inhibit the semantic route for digit naming. Here, we tested the hypothesis that such inhibition should slow digit naming, based on the principle that reduced access to multiple…

This study aimed to evaluate the impact of individual differences in working memory capacity on number transcoding. A recently proposed model, ADAPT (a developmental asemantic procedural transcoding model), accounts for the development of number transcoding from verbal form to Arabic form by two mechanisms: the learning of new production rules…