This study investigated the effect of a direct instruction program in fractions, on achievement and self-concept. A pretest-posttest, quasi-experimental, nonequivalent control group design was used to compare the two groups of upper elementary school students (N=337). Treatment group students received instruction in fractions via a…

This workbook is designed as an easy-to-read, slower-paced mathematics text for students who have learning, reading, and language problems. Helping students fulfill mathematics requirements for graduation is a goal; the book can be used as the core or supplement to the mathematics curriculum in mainstreamed or special education classrooms, in…

This exploratory study describes fourth-grade students' opinions and knowledge about fractions. A coherent and elaborate fraction knowledge base results when students establish connections between their conceptual knowledge and procedural knowledge of fractions. One possible juncture between concepts and procedures might involve establishing…

This document is part 2 of the workbook for kindergarten pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

After an introduction including a brief history of measurement, conversion of units within the customary system, within the metric system, and from customary to metric and vice versa are discussed. A fraction/multiplication system is introduced to teach correct alignment of units of measurement and to direct proper multiplication and division of…

This is the teacher's manual to accompany part 2 of the workbook for grade 5 pupils in the Comprehensive Instructional Management System, a teacher-designed unified mathematics curriculum for kindergarten through grade 7. It is composed of a curriculum, a testing component, and a computer-managed reporting system. The curriculum is organized into…

Eight sixth-grade students received individualized instruction on the addition and subtraction of fractions in a one-to-one setting for 6 weeks. Instruction was specifically designed to build upon the student's prior knowledge of fraction ideas and to emphasize estimation. It was determined that all students possessed a rich store of prior…

Used as an integral part of the migrant student skills system operated by the Migrant Student Record Transfer System (MSRTS), the mini-math skills list contains a catalog of math skills typical of the 4-6 grade range. The document presents an explanation of terminology used for MSRTS mini-math outline: areas, topics, subtopics, and skills. It…

In one project phase, assessments of cognitive levels in grades seven and eight on fractions and ratio concepts were made and compared to the corresponding cognitive demands of curriculum guide objectives, authorized textbooks, teacher presentations, and teacher-made tests. Considerable gaps were found between student cognitive level and…

In this document, detailed objectives for each grade level are listed according to the following categories: for grades K-9, numeration, basic operations, fractions, money and time, and measurement and geometry; for grades 10-12, numeration, basic operations, fractions, and practical applications. Each objective is keyed to an expected level of…

A BOOKLET DESIGNED FOR ELEMENTARY SCHOOL STUDENTS TO BE USED INDEPENDENTLY FROM AND IN ADDITION TO THE REGULAR CLASSROOM CURRICULUM IN MATHEMATICS IS PRESENTED. THE PURPOSE IS TO TEACH THE FIFTH- OR SIXTH-GRADE STUDENT TO USE GOOD JUDGMENT AND REASONING IN LOCATING THE DECIMAL POINT. A DISCUSSION OF THE PURPOSE AND IMPORTANCE OF BEING ABLE,…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include natural numbers, positive integers, sets, well ordering, lower bound, upper bound,…

This is part one of a two-part manual for teachers using SMSG junior high school text materials. For each chapter, a brief overview is given and sample test questions are listed. Each section contains a discussion of the topic at hand and answers to all the exercises. Chapter topics include: (1) what is mathematics; (2) numeration; (3) whole…

A hierarchy for learning to solve different types of addition with fractions problems was hypothesized on the basis of both content analysis and psychological considerations. Problem types were defined according to the relationship of the two denominators to each other (e.g., equal, prime, etc.) Students in grades 4 through 8 were each given 45…

The purposes of this study were (1) to formulate specific and measurable behavioral objectives applicable to the teaching of fractions in grade five, (2) to construct a taxonomic programed text that would teach fifth grade students the addition of fractions and their application to problem solving and evaluation tasks, (3) to develop The Taxonomic…