The controversy about ability grouping in education boils down to a conflict between the educational goals of excellence and of equity. There is considerable evidence that ability grouping is effective in producing learning, but not for all students. This study addresses substantive issues raised in previous research, exploring whether ability…

This paper is concerned with understanding how a scaffolding process is utilized in the natural setting of a middle-school mathematics class. Wood, Bruner, & Ross (1976) characterize scaffolding as a learning process of a novice which is assisted and dominated by the adult. Rogoff and Gardner (1984) also point out that "to make messages…

Peer tutoring sessions involving two eighth-grade girls were recorded and analyzed through a Vygotskian lens. A "microgenetic analysis" of particular protocol excerpts from the tutoring sessions was conducted. When a lapse of intersubjectivity existed, participants frequently launched into narrative as a mediating device to negotiate a…

The Nested Spiral Approach (NSA) is an integrated instructional approach used to promote the motivated learning of mathematics problem solving in limited-English-proficient (LEP) students. The NSA is described and a trial use is discussed. The approach extends, elaborates, and supplements existing education and instruction theories to help LEP…

The study examined whether embedding the linear equations and ratio and proportion strategies used to solve percent problems in the higher-order structures of proportional logic and group properties would aid achievement. Thus, it examined the interaction in differences in understanding fundamental structures in mathematics, and instruction…

Research conducted during the Trends in International Mathematics and Science Study (TIMSS) and later (Stigler et al. 1999; Stigler and Hiebert 1999) undertook a thorough analysis of lessons in the United States, Japan, and Germany. This article focuses on certain aspects of mathematics lessons in Russia. Specifically, the attempt is made to…

Students in grades four and eight were given parallel forms of mathematics subtests of Iowa Tests of Basic Skills, once using calculators and once without. Performance with calculators was compared to performance on regular administration of subtests. In both grades, mean scores on problem solving and computation subtests were significantly higher…

This study's major purpose was to identify school-related variables that affect the achievement of eighth-grade pupils in mathematics. The data are based on results of a basic skills test administered statewide in Tennessee. The main problem of the first phase of the research was to identify factors that may account for relatively large…

A tutorial program which used students as tutors was conducted in the Seattle Public Schools during the 1971-72 school year as part of an ESEA Title I project. Called "Students Helping Students," the program used 40 seventh and eighth graders as tutors in reading, mathematics, and language for about 80 first through fourth graders.…

Argues that first-year algebra should be taught in eighth grade. Outlines an algebra course that could provide average students with a working kowledge of algebra. Proposes that this would require students to have experiences with variables, equations, formulas, and graphs during previous years of study. (TW)

The National Assessment of Educational Progress (NAEP) is mandated by the United States Congress to survey the educational accomplishments of U.S. students and monitor changes in those accomplishments. For more than 25 years, NAEP has assessed the educational achievement of 4th-, 8th-, and 12th-grade students in selected subject areas, making it…

This document consists of a sample curriculum model for grade 8 mathematics based on the 1998 Arkansas State Mathematics Framework. The document is divided into five sections: (1) Number Sense, Properties, and Operations; (2) Geometry and Spatial Sense; (3) Measurement; (4) Data Analysis, Statistics, and Probability; and (5) Patterns, Algebra, and…

Facets of problem solving instruction (PSI) were studied in German mathematics classrooms. Nine different facets of PSI were identified from the research literature, and a video rating form was developed to assess these facets and teacher effectiveness. Videotaped mathematics lessons (n=147) for German eighth graders from the sample for the Third…

Describes a study that investigated the differential effects of Computer Algebra Systems (CAS) and metacognitive training (META) on mathematical reasoning. Participants were 83 Israeli eighth-grade students. Results showed that CAS embedded within META significantly outperformed the META and CAS alone conditions, which in turn significantly…

Effective teaching behaviors that have cognitive and affective learning effects on students' were identified in this study. Subjects were 50 grade-8 Dutch mathematics teachers. Findings indicate more teaching behaviors have a positive effect on mathematical knowledge than have a positive effect on students' attitudes toward mathematics. (IAH)