This paper uses data from the 1990 National Assessment of Educational Progress (NAEP) Trial State Assessment to describe educational opportunities for students in eighth-grade mathematics in 1990. The first section of the paper summarizes the methodology used here and in the 1990 NAEP Trial State Assessment. The second section summarizes findings…

This perfect bound teacher's guide presents techniques and activities to teach mathematics using origami paper folding. Part 1 includes a history of origami, mathematics and origami, and careers using mathematics. Parts 2 and 3 introduce paper-folding concepts and teaching techniques and include suggestions for low-budget paper resources. Part 4…

This book is written to answer commonly asked homework questions of fourth, fifth, and sixth graders. Included are facts, charts, definitions, explanations, examples, and illustrations. Topics include ancient number systems; decimal system; math symbols; addition; subtraction; multiplication; division; fractions; estimation; averages; properties;…

In six parts, this research panel report focuses on numerous aspects of an institutionally-supported project in Writing and Problem Solving across Disciplines conducted by four teachers at Central Oregon Community College in Bend, Oregon. The report's first section, "Introduction," is descriptive and gives some background on the research…

This book is a compilation of five papers presented at conferences between the years 1984 and 1990 on the integration of theory and practice in mathematics education. An introduction acknowledges the chasm felt between theory and practice, and gives an overview of the five papers. The first paper, "Developmental Research on Paper and in…

Grade 7 mathematics students (n=18) were audiotaped while working in cooperative learning groups on 4 occasions over a 16 week period. After the second and third recordings, students were given edited transcripts of their discussions and were trained in how to interpret them. They used an instrument to appraise their group processes 1-2 times per…

This study examined the effect of cooperative learning on two female sixth-grade students' attitudes toward mathematics. The students (one Caucasian, one African-American) were individually interviewed to obtain background information relevant to the study. An initial survey was also given to 17 sixth-graders to obtain general attitudes of…

The six articles in this issue tackle topics that relate to the role and function of numeracy in adult life. "Reading Comprehension in Written Mathematics Problems" (Sue Wareham) examines the levels of reading ability required of numeracy students and offers strategies to help students with limited reading skills. "Can Ordinary…

It is argued that analysis of variance (ANOVA) and related methods should be taught using a general linear model (GLM) approach, rather than a classical ordinary sums of squares approach. The GLM approach emphasizes the linkages among conventional parametric methods, emphasizing that all classical parametric methods are least squares procedures…

Findings from two studies of fourth grade children learning the concept of mathematical equivalence are presented. The questions studied were: (1) Can knowledge conveyed in gesture but not in speech be tapped by a recognition technique; and (2) Does having implicit knowledge that is expressed in gesture but not in speech have implications for…

The National Council of Teachers of Mathematics (NCTM) recommended the use of calculators in the classroom in 1989. While calculators are more readily available in classrooms today than they were a few years ago, the recommendation is rarely followed in elementary grades. One of the reasons for this is a lack of appropriate classroom materials.…

The data in this report were obtained from the base-year and follow-up surveys of the National Education Longitudinal Study of the Eighth Grade Class of 1988 (NELS:88). NELS:88 began with a sample of 1,052 schools and 24,599 eighth graders. The results of this report apply to students who were eighth-graders in 1988 and graduated from high school…

The first section of this paper on World Wide Web applications related to dynamic geometry addresses dynamic geometry and teaching, including the relationship between dynamic geometry and direct manipulation, key features of dynamic geometry environments, the importance of direct engagement of the learner using construction software for…

Student teachers in Australia and Singapore were asked to solve a one-step ratio problem and to complete open sentences about the nature of mathematics and mathematics pedagogy. The purpose of this paper is to investigate the similarities and differences in proportional reasoning of the student teachers in Australia and Singapore through the…

This companion document to the instructor's guide for a course designed to prepare employees for statistical process control (SPC) training given at their workplace by refreshing math skills and building the concepts and vocabulary necessary to understand SPC in manufacturing environments. SPC-Prep 1 addresses the math skills necessary to perform…