We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

Based in part on our work in adapting existing paper textbooks for secondary schools for a digital format, this paper discusses paper form and the various electronic platforms with regard to the presentation of five aspects of mathematics that have roles in mathematics learning in all the grades kindergarten-12: symbolization, deduction, modeling,…

A team of teachers from the same New York City public school met to discuss and compare the Common Core State Standards for Mathematics (CCSSM) to their current math curriculum. The group consisted of four kindergarten teachers, a representative from the first-grade teaching team, and the school's math coach. During the first meeting, the…

This article describes how in early mathematics learning, young children are often asked to recognize and describe visual patterns in their environment--perhaps on their clothing, a toy, or the carpet; around a picture frame; or in the playground equipment. Exploring patterns in the early years is seen as an important introduction to algebraic…

Rather than feeling overwhelmed at the thought of integrating the new Common Core State Standards for Mathematics (CCSSI 2010) into their teaching practice, teachers might view this as an opportunity to deeply embed mathematics into the K-grade 2 curriculum in the same way that literacy has long been rooted into early learning environments.…

This paper presents eight practical guidelines that teachers can use to make core instruction more systematic and explicit for students with or at-risk for mathematics disabilities. In the paper, we use the notion of explicit and systematic instruction as a foundation for intensifying core math instruction. Explicit and systematic core instruction…

In the 21st century, a deep understanding of mathematics, and the ability to apply that understanding, is more important than it has ever been. In Montgomery County (Maryland) Public Schools (MCPS), and across the country, mathematics instruction is changing to provide students with the skills and knowledge they need for success in college and the…

In recent years, compelling research has found that mastery of early math concepts at a preschool level is a better predictor of later academic outcomes than literacy. Partly driven by these findings, increasing attention is being focused on improving math pedagogy at the preschool level. The issue has assumed added urgency as a result of…

This article reports that two programs for teaching mathematics in the early grades--Math Expressions and Saxon Math--emerged as winners in early findings released last week from a large-scale federal experiment that pits four popular, and philosophically distinct, math curricula against one another. But the results don't promise to end the…

This article describes one student teacher's interactions with mathematics curriculum materials during her internship in a kindergarten classroom. Anne used curriculum materials from two distinct programs and taught lessons multiple times to different groups of children. Although she used each curriculum in distinct ways, her curriculum use was…

For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

This report describes one preservice teacher's development of mathematics instruction during her student-teaching internship in a kindergarten classroom at a low-performing, urban elementary school. A framework of social strategies was used to describe the student teacher's use of strategic compromise as a way to deal with competing pressures and…

This article describes Everyday Mathematics, a new math education curriculum targeted to kindergarten, first grade, and second grade students in Holland. It will be introduced to third and fourth grades in 2008. The curriculum helps prepare pupils for standardized tests; allows for students to work at their own rate; involves parents in helping…

Elementary education is that training which by common custom is deemed desirable and necessary for the duties and privileges of citizenship. It is usually made compulsory by law. Like all such definitions, the meaning of this statement becomes clear only through an examination of its interpretation as given in the curricula of the various school…