Good early mathematics is broader and deeper than early practice on "school skills." High-quality mathematics should be a joy--not a pressure. It can emerge from children's play, their curiosity, and their natural ability to think. This article describes the areas of mathematics that young children can learn, and encourages elementary teachers to…

In his "Theory of Multiple Intelligences," Dr. Howard Gardner expands the concept of intelligence to include such areas as music, spatial relations, and interpersonal knowledge in addition to the traditional view of two intelligences--mathematical and linguistic. Using biological as well as cultural research, Gardner formulated a list of seven…

Most cross-cultural research on Chinese and American children's early mathematical competencies has focused on their understanding of number and number operations. The present study broadened the range of tasks assessed to include geometric shapes, problem solving and logical reasoning, as well as number and numerical operations, in an effort to…

This paper summarises findings and lessons from a recently conducted evaluation of an adult functional literacy program in Ghana. The study attempted to assess learners' literacy and numeracy skills, and ascertain participants' knowledge and skills in various development aspects as well as their impact. The literacy and numeracy skills assessment…

Although the phase plane can be plotted and analyzed using an appropriate software package, the author found it worthwhile to engage the students with the theorem and the two proofs. The theorem is a powerful tool that provides insight into the rotational behavior of the phase plane diagram in a simple way: just check the signs of c and [alpha].…

In this article, the author presents the results of a state project that focused on the effect of developing informal written computation processes through Years 2-4. The "developing computation" project was conducted in Tasmania over the two years 2002-2003 and involved nine schools: five government schools, two Catholic schools, and…

This article describes a statewide project in which weekly progress monitoring of mathematics was implemented with 120 special education students. Curriculum-based measurement probes for computation and concepts/applications skills were administered weekly over seven months. Students were assessed at levels identified as instructional by their…

The effects of a fluency building math program on addition and subtraction computational skills were evaluated using a multiple probe across subjects design. Two students with developmental disabilities and one student with attentional difficulties participated in a supplemental intervention using the Great Leaps Math program. Analyses indicated…

The aim of this paper is to demonstrate that in spite of some superficial similarities the current mathematics reform in the US based on constructivist principles differs substantially from mathematical education based on Vygotskian cultural-historical theory (V.V. Davydov's mathematics program), and to illustrate the manner in which Davydov's…

Using data from the Longitudinal Study of American Youth, this analysis tested whether changes during middle and high school in mathematics-related cognitive and affective factors influence participation in the most advanced mathematics course work, with control over confounding factors associated with student background. No significant…

This report investigates progress in Virginia public schools in satisfying the requirement of the No Child Left Behind Act of 2001 that every student be proficient in reading and math by 2014. It develops a variable change model that uses observed baseline proficiency and proficiency trends at individual schools to forecast gains for six subgroups…

The authors offer the image of our nation as a nautical convoy. Some boats are large, well built, and able to ride out the heaviest of turbulent seas. Others are smaller, but still quite sturdy, and able to survive. Many however, are fragile, meagerly equipped, and easily capsized in rough waters. This convoy is in the midst of a perfect storm…

This study sought to explore what sort of relationships exist between students' number sense and their problem solving ability, and the contribution of the teacher's teaching style and the students' learning style towards students' performance in these two respective areas. The problem solving ability and number sense proficiency of three classes…

This research examines the effect of increased testing time by comparing the four performance indices of randomly equivalent examinee subpopulations on sections of similar content and difficulty administered at different times on three SAT administrations. A variety of analyses were used in this study and found no evidence that the current SAT…

Mathematical literacy is more than numeracy; it is an individual's capacity to identify and understand the role that mathematics plays in the world and to make well-founded judgments that use and engage mathematics to meet his or her future needs as a constructive, concerned, and reflective citizen (Programme for International Student Assessment…