This study examines presentations of the distributive property (DP) in two widely used U.S. elementary text series and one main Chinese text series along three dimensions: problem contexts, typical problem types within each problem context, and variability in using the DP. In general, the two U.S. texts were found to resemble each other but to…

This study examines the reliability and validity of a Chinese-translated version of the Gifted Rating Scales-Preschool/Kindergarten Form (GRS-P) and explores the effect of gender and age on each of the subscales. Data were collected from 250 kindergarten children, with age ranging from 4 years, 0 months to 6 years, 11 months. Results indicated…

Action research (AR) is defined by Macintyre to be: "an investigation, where, as a result of rigorous self-appraisal of current practice, the researcher focuses on a problem,or a topic or an issue which needs to be explained, and on the basis of information, plans, implements, then evaluates an action then draws conclusions on the basis of…

Contemporary argument increasingly relies on quantitative information and reasoning, yet our profession neglects to view these means of persuasion as central to rhetorical arts. Such omission ironically serves to privilege quantitative arguments as above "mere rhetoric." Changes are needed to our textbooks, writing assignments, and instructor…

Since the publication of [Gelman, R., & Gallistel, C. R. (1978). "The child's understanding of number." Cambridge, MA: Harvard University Press.] seminal work on the development of verbal counting as a representation of number, the nature of the ontogenetic sources of the verbal counting principles has been intensely debated. The present…

The existence of spatial components in the mental representation of number magnitude has raised the question regarding the relation between numbers and spatial attention. We present six experiments in which this relation was examined using a temporal order judgment task to index attentional allocation. Results demonstrate that one important…

As America's Great City Schools implement the Common Core State Standards (CCSS), they have a unique opportunity to integrate strategies for teaching, intervening, and supporting the nation's urban students in a way that will ensure they have the literacy, numeracy, behavioral, and engagement skills necessary to be successful in college and…

The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…

The California Department of Education is in the process of revising the Career and Technical Education (CTE) Model Curriculum Standards. The Educational Policy Improvement Center (EPIC) conducted an investigation of the draft version of the Health Sciences and Medical Technology Standards (Health Science). The purpose of the study is to…

High academic standards are an important first step in ensuring that all Alaska's students have the tools they need for success. These standards reflect the collaborative work of Alaskan educators and national experts from the nonprofit National Center for the Improvement of Educational Assessment. Further, they are informed by public comments.…

This study examined the influence of virtual manipulatives on different achievement groups during a teaching experiment in four fifth-grade classrooms. During a two-week unit focusing on two rational number concepts (fraction equivalence and fraction addition with unlike denominators) one low achieving, two average achieving, and one high…

A generalization of a well-known result for the arctangent function poses a number of interesting questions concerning the existence of integer solutions of related problems.

Many myths occur regarding the inherent abilities young Indigenous students possess when they enter a Western school environment. One such myth in early numeracy is Indigenous students' innate ability to instantly recognise the number of objects in a small group without counting them; that is, their ability to subitise. Willis (2000) reports that…

Recent research suggests that developmental dyscalculia is associated with a subitizing deficit (i.e., the inability to quickly enumerate small sets of up to 3 objects). However, the nature of this deficit has not previously been investigated. In the present study the eye-tracking methodology was employed to clarify whether (a) the subitizing…

The lack of consensus on how to characterize humans' capacity for belief reasoning has been brought into sharp focus by recent research. Children fail critical tests of belief reasoning before 3 to 4 years of age (H. Wellman, D. Cross, & J. Watson, 2001; H. Wimmer & J. Perner, 1983), yet infants apparently pass false-belief tasks at 13 or 15…