Much research has pointed to the importance of pretend play as a facilitator of literacy development. However, few studies have investigated the corresponding role of sociodramatic play in mathematical development. This exploratory naturalistic study examined the numerate behaviors that occurred during spontaneous pretend play in a preschool…

This study tests the hypothesis that dyslexia and dyscalculia are associated with two largely independent cognitive deficits, namely a phonological deficit in the case of dyslexia and a deficit in the number module in the case of dyscalculia. In four groups of 8- to 10-year-olds (42 control, 21 dyslexic, 20 dyscalculic, and 26…

Background: There is increasing interest in applying neuroscience findings to topics in education. Purpose: This application requires a proper conceptualization of the relation between cognition and brain function. This paper considers two such conceptualizations. The area focus understands each cognitive competency as the product of one (and only…

This study examined whether the quality of first graders' (mean age = 7.2 years) numerical magnitude representations is correlated with, predictive of, and causally related to their arithmetic learning. The children's pretest numerical magnitude representations were found to be correlated with their pretest arithmetic knowledge and to be…

The aim of the National Numeracy Strategy is to raise standards in numeracy. Strong evidence for its success has, however, been lacking: most of the available data come from performance on National Test assessments administered in schools or from Ofsted reports, and is vulnerable to suggestions of bias. An opportunistic analysis of data from a…

The purpose of this study was to evaluate the effects of the copy, cover, and compare (CCC) procedure on improving the mathematics and spelling performance of a freshman attending a high school special education class. The participant was a 16-year-old high school student enrolled in special education classes for 3 periods of the school day. Math…

This study examined the effects on math performance of the use of the rekenrek, a manipulative developed by Adrian Treffers. The rekenrek looks like an abacus, but differs in that it is based on a five-structure and not a ten-structure system. It is comprised of two rows of 10 beads, each broken into two sets of 5 by color (i.e., in each row the…

This article shares an assessment tool that uses student-written word problems to provide meaningful information regarding the depth of mathematical understanding. Students' word problems representing 6 [division] 1/2 were classified using the scoring categories described in the NAEP. By categorizing the problems, students' levels of understanding…

Previous research suggests that infants can calculate simple arithmetic (Wynn, 1992). This study sought to replicate this finding and examine how familiarization may influence response. Experiment 1 confirmed that 3- to 5-month-old infants looked longer at an incorrect outcome (1 + 1 = 1) when no familiarization trials were presented. Experiment 2…

This article reviews two sets of research studies from outside of mathematics education to consider how they may be relevant to the study of bilingual mathematics learners using two languages. The first set of studies is psycholinguistics experiments comparing monolinguals and bilinguals using two languages during arithmetic computation (language…

In 4 experiments, the authors examined the use of the hands in simple arithmetic tasks. Experiments 1 and 2 demonstrated that pointing increases both accuracy and speed in counting arrays of items, whether those items are identical or distinctive. Experiment 3 demonstrated that individuals tend to nod their heads when not allowed to point and that…

The textbook is intended for students who know the number from one to ten. The purpose of the textbook is to conform numbers in their facts and principles to the usual processes and powers and interests of children's minds. The graded reader has opened the way for the graded arithmetic. Grading all books is part and parcel of the new education,…

The purpose of this book is twofold: to supply the teacher with material for class instruction; and to provide a text-book for children to study as soon as they know how to read. The course herein begins with the number ten and proceeds by hundreds and thousands to one million, teaches the elementary facts of fractions and parts of numbers,…

This textbook is third in a series of arithmetic books that apply the principles discovered by the psychology of learning, by experimental education, and by the observation of successful school practice, to the teaching of arithmetic. The general course, which ends on page 241, is followed by exercises in understanding and using tables and an…