This article explains how this method is done, examines some reasons for including it as a topic in mathematics curricula, and uses modular arithmetic to explore its mathematical basis and its generalizability to computations in bases other than 10. (CW)

A 14-year-old Brazilian boy in the fourth grade was given 170 problems orally, each asking for the sum of 2 2-digit numbers. Responses indicated he had invented his own algorithm for addition, similar to the school one, based largely on his experiences with money. (Contains 13 references.) (JAF)

Argues that intuitive and computational knowledge can be combined by focusing more explicitly on referential and quantitative meanings in division of fractions problems. Recommends teaching mathematics as problem solving, communication, reasoning, and connections to help students overcome misunderstandings and connect their intuitive knowledge…

Explored differences in the social and cognitive development of 4-year-olds in junior kindergarten taught by differentially educated instructors. Found that children taught by early childhood educators with 2-year college degrees in early childhood education and those taught by teachers with a university teaching certificate did not differ in…

A study examined the effects of combining curriculum-based measurement in mathematics computation with teachers' self-monitoring of instructional changes on academic progress of 54 elementary students with learning disabilities and mild mental disabilities. The combination of curriculum-based measurement and self-monitoring resulted in…

Three studies involving 4-year olds and 5-year olds from Hong Kong (samples of 36, 10, and 12) and the United States show that Chinese children surpass their English and American counterparts in rote counting and place value numeration as well as embedded ten-cardinal understanding. Implications are discussed. (SLD)

This article talks about the approval given by the Education Department to 16 states that requested changes to accountability plans under the No Child Left Behind Act. Federal officials had sent decision letters to these states. Another 31 states are awaiting such letters, although many have received oral approvals or denials. This article…

The framework of Tharp and Gallimore (1988) was adapted to form a ZPD (Zone of Proximal Development) Model of Mathematical Proficiency that identifies two interacting kinds of learning activities: instructional conversations that assist understanding and practice that develops fluency. A Class Learning Path was conceptualized as a classroom path…

This paper examines the effect of applying symbolic computation and graphics to enhance students' ability to move from a visual interpretation of mathematical concepts to formal reasoning. The mathematics topics involved, Approximation and Interpolation, were taught according to their historical development, and the students tried to follow the…

Each year, professionals and amateurs alike make significant contributions to the field of astronomy. High school students can also conduct astronomy research. Since 1992, the Radio Astronomy Research Team from Oil City Area Senior High School (OCHS) in Oil City, Pennsylvania, has traveled each year to the National Radio Astronomy Observatory…

This study extends previous research examining the relations between Cattell-Horn-Carroll cognitive abilities and math achievement. The cognitive profiles of children with normative weaknesses in Math Calculation Skills or Math Reasoning were compared to those of their average-achieving peers. The cognitive profile of the low Math Calculation…

We investigate how the distribution of AIDS cases in the United States increased homophobia over time. Using pooled GSS surveys, 1973-1998, with state-reported AIDS cases, we estimate models for variation in homophobic attitudes as a function of the time-specific proportion of AIDS cases in a given state. AIDS incidence had a negative impact on…

The present study aims to explore the extent to which computer-assisted teaching facilitates the learning of basic mathematical concepts and skills in children with Down Syndrome (DS). Thus, the effectiveness of a multimedia teaching method is compared with a traditional one in the teaching of counting and cardinality abilities and concepts. In…

This paper puts forth a data envelopment analysis (DEA) approach to estimating higher education institutions' per-student education costs (PSCs) in an effort to redress a number of methodological problems endemic to such estimations, particularly the allocation of shared expenditures between education and other institutional activities. An example…

Computing limits of functions is a traditional part of mathematical analysis which is very difficult for students. Now an algorithm for the elimination of quantifiers in the field of real numbers is implemented in the program Mathematica. This offers a non-traditional view on this classical theme. (Contains 1 table.)