The author has been influenced throughout his time in mathematics education by the work of Caleb Gattegno. Gattegno made extensive use of the word awareness whereas much educational literature from a psychological perspective talks about memory (for example, Justicia-Galiano, MartÌn-Puga, Linares & Pelegrina, 2017). This has, amongst other…

Retrieval practice is a learning strategy that has repeatedly been found to have positive effects on memory and learning. However, studies indicate that students rarely use retrieval practice on a voluntary basis. The objective of the present study was to examine students' self-regulated use of retrieval practice, and to determine whether sex and…

"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…

Children and adult learners benefit from viewing hand gestures at instruction across domains (Cook, Duffy, & Fenn, 2013; Huang, Kim, & Christianson, 2019; Ping & Goldin-Meadow, 2008). Within the domain of mathematical learning, gesture at instruction has been shown to benefit children and adults in laboratory and classroom settings…

To learn mathematics, historically students had no choice but to memorize fundamental facts and apply memorized algorithms. Since 1995 in the US, all states have adopted standards to govern K-12 mathematics instruction, and in most, standards have de-emphasized memorization and emphasized reasoning based on concepts. This change assumed the brain…

Cognitive load theory (CLT) uses working memory resources depletion to explain the superiority of spaced learning, predicting that working memory resources will be less taxed if there are resting/spacing periods inserted between learning tasks, in comparison to learning from the same tasks in a single session. This article uses the working memory…

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…

In recent years, the intersection of cognitive psychology, developmental psychology, and neuroscience with regard to deaf individuals has received increasing attention from a variety of academic and educational audiences. Both research and pedagogy have addressed questions about whether deaf children learn in the same ways that hearing children…

The effectiveness of an experimental middle school fraction intervention was evaluated. The intervention was centered on the number line and incorporated key principles from the science of learning. Sixth graders (N = 51) who struggled with fraction concepts were randomly assigned at the student level to the experimental intervention (n = 28) or…

The effectiveness of an experimental middle school fraction intervention was evaluated. The intervention was centered on the number line and incorporated key principles from the science of learning. Sixth graders (N = 51) who struggled with fraction concepts were randomly assigned at the student level to the experimental intervention (n = 28) or…

Foundation phase teachers in South African schools follow a socio-constructivist approach to the teaching and learning of mathematics, which entails that learners experiment freely with concepts and are encouraged to communicate and share their thoughts and ideas. In an effort to understand the impact that the physical learning environment, such…

In this article, the author presents an innovative approach to teaching multiplication facts for children in middle school or younger. After introducing the dangers of some contradictions that persist, relating a brief summary of related research and guidelines regarding math facts and their relation to strategic approaches to more complex math,…

A systematic review of literature in the area of counting in Down syndrome was conducted to identify and analyze ability to count of children with Down syndrome. We firstly reviewed the most famous theories which have explained how typically developing children acquire counting, and then we discussed how children with Down syndrome acquire…

Research addressing the effectiveness of feedback for learning has focused on many dimensions of feedback, including the timing (Kulik & Kulik, 1988), type (Mory, 2004), and amount of available information (Dempsey et. al, 1993). Much of the feedback research in education has tacitly assumed that the available information is perceived, and any…

Mathematical learning disabilities (with emphasis on the learner characteristics and system inefficiencies) are discussed and two case studies illustrating commonalities which exist across ages are presented. (PHR)