Four students participated in a two year study (fifth- and sixth-grade) focused on the development of their understanding of multiplication of fractions. During the first year, all students received individualized instruction designed to encourage them to build on their informal knowledge of partitioning to solve problems involving multiplication…

This article describes constructivist principles of learning in geometry specific to children's imaginal anticipations in line measurement and fractions. Application with seven sixth grade students with learning disabilities found that students had difficulty coordinating and imagining second-order and higher nested relationships that could be…

This study investigated differences in performance when sixth graders were presented with fractions in three contexts (understanding the meaning of fractions, computation with fractions, and solving word problems with fractions). Student performance varied significantly in different contexts, with the lowest performance observed on the…

The SCOPE Mathematics Achievement Test booklet for grade 6 presents 12 mathematical concepts with instructions for students to take the test with little or no teacher direction. Testing items are: dividing with remainder, up to a six digit dividend by a three digit divisor; using correct order of operations in three-step problems; applying…

Considering teachers' thinking about a specific mathematical topic allows one to better understand the broader domain of teachers' mathematical thinking and its influence on teaching and learning. This paper explores the meanings and understandings communicated by one middle school mathematics teacher about mathematics and mathematics teaching in…

This study of sixth grade industrial arts students examined the relationships among declarative, conceptual, and procedural knowledge in the acquisition of ruler measurement skills. Results for 90 sixth graders indicate that the line identification method was superior overall to the fractional method, for both acquisition and retention of skills.…

Argues that intuitive and computational knowledge can be combined by focusing more explicitly on referential and quantitative meanings in division of fractions problems. Recommends teaching mathematics as problem solving, communication, reasoning, and connections to help students overcome misunderstandings and connect their intuitive knowledge…

Provides information on the number sense of Taiwanese students in grades six and eight. Indicates that student performance on questions requiring written computation was significantly better than on similar questions relying on number sense. Supports the need to look beyond correct answers when computational test results are reported. Contains 29…

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these sixth grade materials covers the following: why teach estimation; how the materials were developed; and how the lessons are organized. The 15 lessons that follow are designed to teach…

Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics curriculum. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

Analysis of student constructed questions about common and decimal fractions of (n=27) students in grades five and six revealed that students seemed to construct experience- and interest-based questions rather than textbook-type word problems which tended to be multistep problems. (12 references) (MKR)

Following the Migrant Student Record Transfer System skills list, this checklist, designed for non-English speaking students, is a system for rapidly evaluating a student's skill level and for keeping track of the student's mastery of suggested objectives at the fifth and sixth grade levels. Objectives to be mastered with 100% accuracy include:…

Describes study designed to evaluate the effectiveness of interactive videodisc program Mastering Fractions. The videodisc program is compared with traditional fractions curriculum and teaching methods in sixth grade classes; pretests, posttests, and mastery tests used are discussed; and results of the study are analyzed. (LRW)

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 manual designed for grade 6 is part of a series for a program to integrate the teaching and learning of mathematical and computer concepts and skills in the elementary school. The manual contains 34 lessons. Each lesson includes information on the topic, suggested grade level, mathematics concepts and skills, objective, prerequisite skills…