Compares sixth-grade American students to three samples of (Chinese, Japanese, and Taiwanese) sixth-grade Asian students to determine if the well-documented mathematical achievement of students from these Asian nations might be due in part to a greater understanding of mathematical representations. Indicates that all Asian samples scored…

The goal of this study was to identify the relationships between the learning choices made by pupils and their personal characteristics, including cognitive style (field dependence--independence), a motivational variable (feeling of self-efficacy), and a cognitive variable (task representation). The participants were 64 twelve-year-old sixth…

This study was designed to determine whether children's knowledge and ability to solve problems about parenting and caregiving could be promoted by means of a school-based curriculum. The study took place over 2 years and involved 138 fifth graders the first year and 217 fifth and sixth graders the second. Subjects were divided into treatment and…

This paper documents the dynamics of the social interactions within two small groups of sixth grade students as they solved problems and attempted to understand the concepts related to the nature of matter and molecular theory. Similarities and differences of social interactions between the two groups are compared, and interpretations presented…

Many mainstreamed students with limited English proficiency continue to face the difficulty of learning English as a second language (ESL) while studying mathematics and other content areas framed in the language of native speakers. The difficulty these students often encounter in mathematics classes and their poor performance on subsequent…

This document is 7th in the Journal for Research in Mathematics Education monograph series. The mathematical performance of (n=250) U.S. 6th-grade students from both private and public schools and (n=425) Chinese 6th-graders from both key and common schools was examined on multiple-choice tasks assessing computation and simple problem solving, and…

In an effort to create a mathematics learning environment in which the social nature of the classroom facilitates conceptual conjecture and justification, a visual representation has been designed that students can manipulate to make demonstrative proofs in the domain of proportional representation. This study explores student use, incorporation,…

A reading comprehension program was developed and implemented that addressed the needs of sixth-grade students. The program focused on critical thinking skills using a teamwork approach. Each heterogeneous small group used a checklist composed of before, during, and after reading questions and activities. At the conclusion of the 12-week…

This study was designed to investigate the effectiveness of a heuristic approach to problem-solving instruction. The 330 subjects were randomly assigned to either a Problem Solving, Calculator Problem Solving, or Control group. The two experimental groups studied problem-solving heuristics applied to nonroutine problems for 18 weeks, after which…

A mathematics unit for sixth-grade classes was developed in which each of eight activities contains a challenge conveyed in the form of a story. Each activity requires students to manipulate concrete materials such as ceramic tiles, marked string, wooden cubes, and square paper. The mathematical content consists of concepts such as area,…

In a previous study, we posited a link between Chinese sixth grade students' problem solving and problem posing based on a pattern-formation strategy (Cai & Hwang, 2002). A similar parallel structure between problem solving and problem posing did not obtain for the U.S. sixth graders in the study. The present study attempts to locate this type of…

This paper explores the phenomenon of mathematical understanding, and offers a response to the question raised by Martin (2001) at PME-NA about the possibility for and nature of collective mathematical understanding. In referring to collective mathematical understanding we point to the kinds of learning and understanding we may see occurring when…

The purpose of this study was to describe the depth and accuracy of sixth grade students' content understanding as a result of engaging in information seeking activities using Web-based resources in the University of Michigan's Digital Library. Eight student pairs received scaffolded pedagogical support from classroom teachers while completing…

An investigation was conducted to identify and compare the reasoning strategies used by above-average and average readers in reading comprehension. Findings indicated that both groups used various types of reasoning strategies in comprehension, but that there were significant quantitative differences between the groups in application and success…

Evaluation of 95 students in grades 3 and 6 on measures of mathematics anxiety, test anxiety, and attitudes toward mathematics found that test and problem-solving anxiety took 2 distinct forms. Mathematics test anxiety increased with age relative to problem-solving anxiety. (SLD)