Describes an attempt to encourage fifth- and sixth-graders to invent their own ways of solving problems involving division with fractions. Emphasizes the importance of social interaction in Piaget's constructivism and explains why debate and verification are important for children's construction of logico-mathematical knowledge. (22 references)…

Explores the extent to which presentations about multiplication and division involving decimals within three series of mathematics textbooks for grades three through eight help students to counter common learner misconceptions about multiplication and division. Results indicate that theory on conceptual change with its concomitant research have…

Suggests using state and national seals as beginning points for middle school geography study. Notes that the emblems can serve as points of entry into the study of place. Highlights variation among in the amount of geographical information each emblem contains. Concludes that the use of emblems is a low-cost, high-interest teaching strategy. (SG)

The issue of division by zero is discussed. Activities that cover the topics of measurement division, partition division, relationship to fractions, confusion with dividing into zero, dividing zero by zero, and relation to more formal numbers are presented. (KR)

Investigated the use of the pronoun "it" by a nine-year-old girl as a concept variable conveying the message that she had something in mind that she believed the listener understood. (MDH)

Development of the concept of division was studied in two experiments involving a total of 124 5-, 6-, and 7-year-old students in England. Partitive tasks, more similar to sharing, were easier than quotitive tasks, suggesting that children's initial understanding of division might be based on the action schema of sharing. (SLD)

Assesses patterns of enrollment in science, science achievement, and attitudes of students in grades 3-12 representing the 4 major ethnic groups in Hawaii. Results indicate that more differences were accounted for by ethnicity and even grade than by gender and there was little interaction between ethnicity and gender. Contains 78 references.…

Describes an informal research activity in which third grade students invent their own algorithms for multidigit multiplication and division. Discusses teaching implications and action research ideas. (ASK)

In its recent report, the Governor's Committee on Education Excellence proposes a major restructuring of California's school finance system, replacing most of the separate programs through which revenue now flows from the state to local school districts with a base program and a targeted program. The base program would serve the educational needs…

This report presents data on home schooling in the state of Arkansas that covers: students withdrawn from home school; home school student count by county, district, and grade level; and home school enrollments by grade and gender. The report contains the texts of the Arkansas Code Annotated Section 6-15-501 through Section 6-15-508 Home School…

This document sets forth recommendations for the design of a new science assessment. The assessment resulting from this framework will start a new NAEP science trend (i.e., measure of student progress in science) beginning in 2009. This framework represents a unique opportunity to build on previous NAEP science work as well as key developments in…

When a student begins to appropriate an idea from classroom discourse, the idea is likely to be perceived incompletely because the speaker's understanding of the idea cannot be conveyed in its entirety through the discourse. Under the guidance of the teacher, the discourse serves to stimulate further development of the idea itself, the development…

This book is a compilation of recent research on the development of multiplicative concepts. The sections and chapters are: (1) Theoretical Approaches: "Children's Multiplying Schemes" (L. Steffe), "Multiplicative Conceptual Field: What and Why?" (G. Vergnaud), "Extending the Meaning of Multiplication and Division" (B. Greer); (2) The Role of the…

A search for patterns in grade retention rates across grades 1-12 to construct simulation research models is described in this paper. Aggregate data from Shepard and Smith (1989) on grade retention rates from 12 American states for the year 1979-80 and from 11 states for 1985-86 were examined for across-grade patterns, supplemented by Dade County…

Sixty adolescents, stratified by sex and grade level (i.e., 9th, 12th, and college sophomore) participated in an examination of Piaget's suggestion that the formal operations are prerequisite to the development of political idealism, abstract thought and future time perspective in adolescence. Analysis of the cognition data revealed that the…