The effects of a mathematics lesson's complexity were studied, using 128 female and 122 male first-year algebra students in Georgia high schools. Achievement scores were slightly, but not significantly, higher with low complexity lessons, and students preferred the low-complexity lessons. Implications for teaching secondary mathematics are…

The use of strategies is an important part of mathematical thinking. Presented are several games that help develop the reasoning strategies of hypothesis making and testing, proving and disproving, looking for patterns, and simplifying a difficult task. (MDH)

The first in a series of three articles, successful instructional materials from a 15-year software development effort are analyzed and characterized with special attention given to educational experiences intended to shape students' perceptions of the fundamental nature, interconnectedness, and usefulness of mathematics. The software programs…

Provided is a teacher's guide for a problem-solving activity that establishes a link between number patterns and geometry by focusing on the development of recurrence relations established when generating central polygonal numbers. Reproducible worksheets and a 3.0 BASIC program for the activity are given. (MDH)

Describes three activities to teach mathematical concepts involving probabilities related to outcomes using "Sicherman" and other dice; geometric representations of algebraic identities; and the volume of a cone. (MDH)

In this study we investigated above-average high school calculus students from Japan and the United States in order to determine any differences in their conceptual understanding of calculus and their ability to use algebra to solve traditional calculus problems. We examined and interviewed 18 Calculus BC students in the United States and 26…

The purpose of this study was to explore the effectiveness of using ALEKS (Assessment and Learning in Knowledge Spaces [3]), an online interactive learning system, in teaching a college algebra course at a university. This system was used to replace traditional assignments. The study was conducted in eight college algebra courses in the Fall 2003…

Lowering the dropout rate of incoming mathematics and science students, and enhancing the provision of mathematics support for freshmen are two important aims of the University of Amsterdam. The approach recently adopted to support first year students is to set up a diagnostic pretest and posttest and use these tests to identify students being at…

Recent changes in national and state mathematics standards have increased the level of algebraic thinking taught in younger grades. These changes have prompted more inclusive curriculum designs that open the opportunity to enroll in advanced mathematics courses at younger ages. Of particular interest to this study is the access to eighth-grade…

This teaching module with its 80-minute videotape of lessons from U.S., Japanese, and German classrooms is designed to help moderators facilitate discussion among educators. This guide is intended to help moderators make appropriate decisions about sessions and suggest items to consider when discussing the Third International Mathematics and…

The New Jersey Mathematics Curriculum Framework is based on the "Mathematics Standards" adopted by the New Jersey State Board of Education on May 1, 1996, and is intended to provide guidance to teachers, administrators, and districts that will help them translate a vision of exemplary mathematics education into reality. It includes…

This document presents the course content for a workshop that integrates the use of the computer algebra system Derive with topics in matrix and linear algebra. The first section is a guide to using Derive that provides information on how to write algebraic expressions, make graphs, save files, edit, define functions, differentiate expressions,…

The National Assessment of Educational Progress (NAEP) is the only nationally representative and continuing assessment of what students in the United States know and can do in various academic subjects. The 1996 NAEP in mathematics assessed the current level of mathematical achievement as a mechanism for informing education reform. In 1996, 44…

Mathematics achievement and the relationship of low socioeconomic status (SES) students with teachers have been a major concern for educators. Although there are social and economic explanations of failure of low SES students, ultimate success and failure may be significantly affected by differing personal beliefs about learning among students and…

This qualitative study is a two-part analysis of first year algebra textbooks adopted for use in South Carolina. Part 1 examines the five books selected in the 1984 adoption. This comparison of first year algebra textbooks examined: (1) whether the textbook authors had adjusted the traditional context of math texts at this level to reflect…