Place value is a phenomenon that has ominous implications for developing number sense and meaning and for using alternative algorithms and alternative representations within whole number arithmetic. For the most part, school programs examine place value at a surface level, with a primary focus on having the student identify or state a number value…

Objective: To summarize existing research on individual numeracy and methods for presenting risk information to patients. Methods: We selectively retrieved articles from MEDLINE and the "Social Sciences Citation Index". Results: Many Americans have low numeracy skills, a deficit that impedes effective health care. Approaches to risk communication…

The purpose of this study was to examine the reliability, validity, and predictive utility of 3 measures for screening kindergarten students for risk for math difficulty (MD). The screening measures assessed number sense and computational fluency, constructs central to typical early mathematical development. Conceptual and operational outcomes…

This study investigated the technical features of six potential progress-monitoring measures in mathematics appropriate for use at the middle school level, including two commercially available measures for sixth-grade mathematics, two measures used in previous middle school studies, and two new measures of numeracy concepts. Five hundred…

This paper describes the process of designing and administering a sufficiently valid and reliable assessment instrument to measure the progress in attainment of adult learners studying numeracy, and discusses some of the inherent difficulties that were involved. The fieldwork took place during 2003-2005 and involved a sample of 34 teachers and 412…

Children's number sense in kindergarten was used to predict their calculation fluency in second grade (N = 198). Using block entry regression, usual predictors of age, reading, memory, and verbal and spatial cognition were entered in the first block and number sense measures were added in the second block. Number sense measures contributed a…

Family involvement in children's math education is critical to helping kids succeed. "Helping Children Be Successful in Math" explains why--and how. (Contains 5 endnotes.) [Abstract modified to meet ERIC guidelines. This document was produced by DreamBox Learning, Inc.]

Diezmann presents a series of classroom number-sense activities that encourage young students to use and refine their estimation, prediction, and observation skills. The activities explore the relationships between the number of objects in an opaque container and (1) its fullness and (2) the size of the objects in the container. Informal,…

This article uses one of the authors' classroom experiences to explore how teachers can create technology-rich learning environments that support upper elementary students' mathematical understanding of algebra and number and operations. They describe a unit that presents a common financial problem (the use of credit cards) to engage sixth graders…

Background: Children ordinarily begin their formal education at the age when the great majority of them are capable of understanding the role of addition and subtraction in changing number. In determining critical differences they can apply the oddity principle--the first "pure" abstraction that children ever develop--understanding that…

California is one of 4 states that have accelerated addition and subtraction basic-facts memorization. This article reports on teacher practices, first-grade achievement of the standard, and a broader conception of basic-facts competence. Even among students from the highest performing schools, fewer than 11% made progress toward the memorization…

The 27th Undergraduate Mathematics Teaching Conference took place in September of 2001 at the University of Birmingham. Major topics of the conference included preparing a teaching portfolio, engineering mathematics should be taught by engineers, issues in teaching discrete mathematics, action research, study skills, and issues for web-delivered…

The 26th Undergraduate Mathematics Teaching Conference took place in September of 2000 at Sheffield Hallam University. Major topics of the conference included what use might mathematics education research be to university mathematics teachers?, attracting students to mathematics, use of the internet in teaching mathematics, and supporting the…

In the past decade, many countries called for changes that result in students knowing a "different" kind of school mathematics. This is due to a changed view of learning that requires different forms of teaching which are only beginning to be understood. In this paper, findings from research in primary maths classes with "reform-oriented" culture…

This project, an example of teacher action research awarded an SCRE Practitioner Award in 2002, considers a program for nursery staff development based around the number and mathematical strands contained in the Knowledge and Understanding section of "A Curriculum Framework for Children 3 to 5". This work was part of the Nursery's Development…