There are two purposes in this study. One is to compare how 7th and 8th graders reason on linear and quadratic geometric number patterns when they have not learned this kind of tasks in school. The other is to explore the hierarchical relations among the four components of reasoning on geometric number patterns: understanding, generalizing,…

Recent curricular reforms are following the lead of the Standards 2000 and, in diverse ways, integrating some algebraic work into primary school mathematics. Our research aims at producing a tool that will allow researchers to track the development of algebraic thinking in children as they progress through various primary programs. In this paper…

The purpose of this series is to provide instructional ideas and materials that support implementation of the Curriculum and Evaluation Standards in local settings. This book addresses in a very practical way the content, pedagogy, and pupil assessment dimensions of reshaping school mathematics. Chapters include discussions and activities that…

A horizontal translation of a function is the focus of this study. We examine the explanations provided by secondary school students and secondary school teachers to a translation of a function, focusing on the example of parabola y = (x - 3)[superscript 2] and its relationship with y = x[superscript 2]. The participants' explanations focused on…

According to the Third International Mathematics and Science Study (TIMSS) which compared student performance in mathematics and science in 41 countries in 1995, fourth grade students in the United States perform only slightly above the international average in mathematics. The study showed that most U.S. students are mastering basic arithmetic;…

This action research project examined the impact of organizational and motivational strategies to increase homework completion among high school students. Participating were high school algebra and biology students in a midwestern, suburban city. The problem of homework completion was evidenced by existing grade and homework reports and teacher…

Alarming questions are being asked of the teaching methods in present use. Are we maximizing the time on task in the classroom? Students (n=98) in a remedial mathematics course were studied for one semester and students (n=56) from a developmental mathematics course were studied in the second semester, at Tennessee Technological University.…

This report outlines student performance results from the Texas Assessment of Academic Skills (TAAS) for the 1997-1998 school year as well as results from the Spanish TAAS tests and the Biology I and Algebra I end-of-course examinations. Data represent test results for students not in special education. The chapters are: (1) "Executive…

The Nevada Mathematics Standards provide the framework for a comprehensive K-12 mathematics program and guide curriculum, instruction, and assessment as well as other policies and practices that affect student learning. The standards are intended to serve as a foundation for teachers and curriculum specialists as they create curriculum and adopt…

This volume presents different issues and views on research in mathematics education in Australia. Chapters include: (1) "An Introduction to This Review" (Kay Owens); (2) "Recent Research Monographs" (Kay Owens and editors of the monographs); (3) "Language Factors in Mathematics Education" (Nerida Ellerton, Ken…

This report is incorporated into "Attaining Excellence: A TIMSS Resource Kit." Released in Fall 1997, the TIMSS resource kit was developed for educators and those interested in using TIMSS data to improve teaching, curricula, and student achievement in state and local communities. This module presents information about the grade 8…

This document outlines the content standards for mathematics in the state of Colorado. The document is organized into six standards, each of which is subdivided into a series of lists defining what is expected of students at each grade level within the standard. The standards relate to number, algebra, data, geometry, measurement, and the linking…

This study examined the generalizability and dependability of a performance-based assessment in algebra. Four forms of a five-item test were constructed using different subsets of eight items based on attributes from task analysis. Subjects included 142 "algebra 2" students from 2 high schools in the Midwestern United States and 148 11th…

The aim of this study is to investigate the effectiveness of computer-based/assisted teaching method using ISETL [Interactive SET Language] programming language on students' understanding of subgroup and group concepts. The data was collected from a group of students by means of written assessments and clinical interviews. Analysis of student's…