Presents five activities to help students construct meaning for multiplying fractions through real-world problem contexts, physical or pictorial models, the recognition of patterns, and the use of calculators. In the context of a garden plot, worksheets examine various aspects of parts of plots, patterns in plots, and a maximization problem.…

Analyzed survey-based information on state policies and school practices together to explore the impact of content-driven state education reform on instruction in middle-grades mathematics. Found that content-driven state policies have great influence on instruction at the school level, and are associated with desired instructional practices at…

An exploratory study assessed the degree to which 13- and 14-year olds (n=100) adjusted assumptions of direct proportionality suggested by surface structure of word problems. Virtually no errors were made on "straightforward" items, but many students showed no adjustment for realistic constraints on complex items. (Contains 21…

The contents of the Individualized Education Programs (IEPs) of 76 students with mild disabilities in grades 4 and 8 were compared to nationally and locally defined standards for mathematics. The contents of the National Assessment of Educational Progress proficiency levels, local standards, and IEPs were categorized using a taxonomy with the…

"Seeing Fractions" is an instructional unit for teachers in California that was trial tested in about 30 classrooms, grades 4 through 6 with diverse student populations, and designed to help students become aware of the variety of ways in which fractions are commonly used. The Introduction includes an overview of fractions and what…

Focusing on grades 4-12, this book supplies content area teachers with the information they need to function as reading and writing teachers within their subject/academic discipline. Chapters in the book usually begin with a summary or overview, showing the major concerns and unique features of language use in that area. Some of the chapters in…

This practicum report describes the development and implementation of a middle school program in King and Queen County in Virginia's Middle Peninsula designed to improve the achievement of sixth-, seventh-, and eighth-grade students whose achievement scores were consistently lower than national and state averages. A literature review and…

This study attempted to replicate and extend previous aptitude-treatment interaction (ATI) findings for students' learning in large-group and small-group teaching approaches. Two elementary teachers each taught a two-week geometry unit to two classes of fourth- and fifth-grade students. One teacher used a small-group teaching approach and the…

Noting that enthusiasm for teaching has everything to do with attitude and a willingness to change and collaborate, this book discusses how an experienced teacher approaches teaching fourth-grade students in a school in Shaker Heights, Ohio. Topics covered include setting up the classroom, organizing for teaching, individualizing instruction,…

Presents activities to create designs with different arrangements of square tiles, which gives students an opportunity to make conjectures about perimeter and to make convincing arguments to justify those conjectures. Includes worksheets. (MKR)

Efforts to address the problems of access and achievement for minorities and women in mathematics and science have been focused primarily at the secondary level. However, it has become increasingly apparent that intervention needs to begin earlier. This directory identifies and briefly characterizes intervention programs serving young minority…

The Urban Mathematics Collaborative (UMC) project has the goal of contributing to the improvement of mathematics education in the inner-city schools by identifying models to enhance the professional lives of teachers and encouraging the entry of high school mathematics teachers into a larger mathematics community including mathematicians from…

In the spring of 1989, over 2,000 pairs of fourth- and eighth-grade students were assessed on their ability to apply mathematical and scientific concepts. The tests (administered in alternate years during the written assessments of the Massachusetts Educational Assessment Program) required students to apply what they knew about mathematics and…

This document is designed to help school personnel analyze their current curriculum for grades 6, 7, and 8 in terms of the Mathematics Common Curriculum for Oregon. The common curriculum goals are organized into nine content strands: (1) number and numeration; (2) appropriate computational skills; (3) problem solving; (4) geometry and…

The effects of varying amounts of computer assisted instruction (CAI) in mathematics, on the academic performance of 446 fifth and sixth graders scoring below norm on the California Test of Basic Skills (CTBS) were investigated. Independent variables were: (1) beginning-of-year CTBS mathematics pretest score; (2) teacher's verbal ability; (3)…