In seeking to understand how parent/child homework activity may provide a learning opportunity for parents as well as for children, the authors examined three bodies of literature: (1) research on parent involvement in homework; (2) research on parent reengagement with mathematics learning; and (3) research on the nature of parent/child math talk…

New research shows that adults with the lowest literacy and numeracy skills are likely to have experienced substantial disadvantage from early childhood. As the journeys of many adult learners attest, education can transform opportunity. What is more likely to motivate them to take up an educational offer is a life course transition or a new…

Students struggling with mathematics may benefit from early interventions aimed at improving their mathematics ability and ultimately preventing subsequent failure. This guide provides eight specific recommendations intended to help teachers, principals, and school administrators use Response to Intervention (RtI) to identify students who need…

Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…

Every student should understand and use all concepts and skills from the previous grade levels. The standard is designed so that new learning builds on preceding skills. Communications, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of all…

This article explores how counting collections of objects helps elementary-age children develop number sense and number relations. The authors provide evidence that counting collections offers multiple entry points for children at different places on the counting trajectory. It is suggested that the teacher's role is one of noticing, questioning,…

Beyond Crossroads recognizes that success in the modern world demands higher-level thinking across the mathematical sciences. Broad quantitative literacy skills are essential for the college graduates of today and tomorrow if they are to be informed citizens and productive workers. Such skills include the quantitative aspects of daily life and…

The No Child Left Behind Act has brought great attention to the effectiveness of math and literacy program in U.S. Schools. Literacy instruction was the hot topic of the 1990s, but numeracy has taken center stage in current education debates. Although the importance of literacy skills in other subject areas is quite obvious, the connection between…

Although many studies have examined the alignment of state standards with large-scale assessment and instruction, fewer have attended to alignment concerning alternate assessments for students with significant disabilities. This study was designed to (1) compare expectations in one state's alternate assessment (AA) with curricular priorities…

The aim of this series of four articles is to look critically, and in some detail, at the primary strategy approach to written calculation, as set out on pages 5 to 16 of the "Guidance paper" "Calculation." The underlying principle of that approach is that children should use mental methods whenever they are appropriate, whereas for calculations…

Why is it that some schools are more successful that others in improving achievement in literacy and numeracy for those pupils who have barriers to their learning? What is it that makes the difference for the lowest achieving 20% of pupils? Her Majesty's Inspectors visited a number of schools that were making a significant difference for…

To build cognitive foundation for number, twenty-six low-performing, low-SES first graders did mathematical physical-knowledge activities, such as "bowling," during the first half of the year. As their arithmetic readiness developed, they tried more word problems and games. At the end of the year, these children did better in mental arithmetic and…

This article shows that the recognition of the dualities in equality (operator-equivalent) of the minus sign (unary-binary) and the zero (nullity-totality) during the transitional process from arithmetic to algebra by 12-13 year-old students constitutes a possible way to achieve the extension of the natural number domain to the integers. (Contains…

The Eisenhower National Clearinghouse for Mathematics and Science Education (ENC) helps teachers by offering a broad assortment of services to enable them to quickly locate educational resources. This theme issue of the serial "ENC Focus" is designed to give educators information on curriculum resources available for teaching math and science in…

Presents a problem of triangular tiles that involves counting and probability. Includes instructor guiding questions. (KHR)