This document reports on a small-group teaching experiment whose goal was to understand how fourth- and sixth-grade children develop concepts of common and decimal fractions. Both the Grade 6 and the Grade 4/5 children were taught common and decimal fractions through discussion and by using manipulatives, beginning with basic concepts of common…

This book describes a sharing classroom community where first-grade children and teachers think and learn together. The book describes how a sense of trust was fostered; how the daily schedule, classroom space, and materials were organized; how the children participated in shared literacy; how the children practiced and shared what they learned;…

This report of the National Assessment of Educational Progress (NAEP) focuses on students' and teachers' reports about the classroom contexts for learning school mathematics in the top-performing one-third of schools compared to the bottom performing one-third. In 1990, 26,652 students from 1,237 schools participated in the study, while in 1992,…

This document contains a brief overview and introduction to the Urban District Assessment Consortium (UDAC), sample performance items with student responses, and sample open-ended items with student responses. The UDAC is a multiyear cooperative effort that is comprised of 11 major urban school districts across the United States and the Center for…

A basic algebra unit was developed at Utah Valley State College to emphasize applications of mathematical concepts in the work world, using video and computer-generated graphics to integrate textual material. The course was implemented in three introductory algebra sections involving 80 students and taught algebraic concepts using such areas as…

This document contains information on summer academic programs offered to American Indian and Alaska Native junior high and high school students. Included are mathematics and science summer programs offered to high school students by the American Indian Science and Engineering Society at universities in Oklahoma, New Mexico, Wisconsin, Iowa,…

In this unit, part of the Seeing and Thinking Mathematically in the Middle Grades series, students use mathematics to design and construct a model home from the ground up. Through the process of designing floor plans, constructing walls and roofs, and making cost estimates, students explore key concepts in geometry and measurement and engage in…

This digest discusses how well authentic mathematics assessment tests can be expected to meet the needs of mathematics instruction that focuses on conceptual insights and analytical skills. In the new mathematics curriculum, situational lessons or real-life problems attempt to include dimensions of thinking and reasoning, individual or small-group…

Designed to inspire teachers to explore trade books in new ways, this book presents chapters dealing with historical fiction, diversity education, informational books in the social studies, literature in the math class, and supplementary reading materials for the science instruction. Although each chapter in the book focuses on a specific content…

This document is the third volume of a three-volume set comprising a workshop leader's guide designed to help in-service providers conduct workshops on early childhood education for teachers, administrators, and others associated with Chapter 1 programs. The guide contains step-by-step procedures for preparing, organizing, and presenting a…

A project was conducted to integrate and enhance the applied technology components of instruction provided to students in mathematics and science throughout Texas. During the project, sets of staff development activities on 9 topics were developed and made available to pilot program sites, 96 integrated interdisciplinary instructional activities…

A 3-year Library Services and Construction Act grant project from 1989-1992 provided for adult learning centers, equipped with Apple IIGS computers and software at each location of the Hammond Public Library (Indiana). User-friendly, job-based software to strengthen reading, writing, mathematics, spelling, and grammar skills, as well as video and…

Problem solving has become a focus of mathematics programs in Australia in recent years, necessitating the assessment of students' problem-solving abilities. This manual provides a problem-solving assessment and teaching resource package containing four elements: (1) profiles assessment items; (2) profiles diagnostic forms for recording individual…

A high school teacher was studied who was known to have begun implementation of a modern paradigm of mathematics education, as described in the "Curriculum and Evaluation Standards for School Mathematics" and the "Professional Standards for Teaching Mathematics," both by the National Council of Teachers of Mathematics. His…

The Study of Academic Instruction for Disadvantaged Students explored the nature and effects of alternatives to conventional practices in mathematics, reading, and writing instruction in schools that serve high concentrations of children from low-income backgrounds. This report presents what was learned by describing and analyzing instructional…