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…

"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…

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…

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,…

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)

Many students find it difficult to learn the kinds of knowledge and thinking required by college or high school courses in mathematics, science, or other complex domains. Thus they often emerge with significant misconceptions, fragmented knowledge, and inadequate problem-solving skills. Most instructors or textbook authors approach their teaching…

Discusses the organization and retrieval of information. Describes the tip-of-the-tongue state during mathematics problem solving. Provides five rules for a deep level of processing of new concepts. (YP)

The effects on mathematics achievement of having fifth graders engage in elaborative and integrative processing were studied using 121 students. Subjects were randomly assigned to cognitive-processing, fact-sheet, or control groups. Results show that cognitive processing is related to memory and understanding and is more effective for higher…