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…

This curriculum guide for grades K-6 is the second volume of a two-part series. It is meant to provide an ordered sequence of mathematical concepts from which teachers may organize an arithmetic program allowing for individual student progress with the greatest amount of individual attention. Each topic is arranged into levels based on the topic's…

Some suggestions are given of how various decimal concepts can be introduced using Multibase Arithmetic Blocks, base ten. (MN)

Four games and some variations which can be used to practice facts and operations are described. (JT)

A brief overview is given of a research project funded to investigate the cause and cure of errors in ratio and proportion, algebra, and fractions. Choosing pertinent information, interviewing students, listing significant features, developing lessons, and testing the materials are considered. (MNS)

Reviews software packages by providing extensive descriptions and discussions of their strengths and weaknesses. Software reviewed include (1) "VISIFROG: Vertebrate Anatomy" (grade seven-adult); (2) "Fraction Bars Computer Program" (grades three to six) and (3) four telecommunications utilities. (JN)

Develops a classification scheme for mathematical problem-solving activities. Presents problems generated in solid and plane geometry and fractions. (JM)

Illustrated first is the case in which a wrong procedure (with fractions) leads to a correct result. Trying to justify why it works in this case and looking for similar patterns involved interesting algebraic considerations as well as use of computers. (MNS)

Field tests were conducted to evaluate theory-based computer-video instructional modules designed to teach or review concepts and operations for factors, prime numbers, and fractions. (MNS)

Activities are presented to give students a picture of decimal concepts of tenths and hundredths. Three models (linear, regional, and value) are described, followed by four activities. (MNS)

Fourth-grade students' understanding of the order and equivalence of rational numbers was investigated in 132 interviews during an 18-week teaching experiment. Six children were instructed individually and as a group at two sites, with instruction relying heavily on manipulative aids. Strategies used to compare fractions were identified. (MNS)

Three lessons are outlined which employ "scholar dollars," pretend bills and coins of different denominations that students can make and use to help solve subtraction, division, and decimal problems. The technique clarifies difficult mathematical concepts by making them less abstract. (PP)

This book features a comprehensive review of the Math Sense series and is designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include whole numbers;…

This paper focuses on Michael, one of four seventh grade students who participated in a study involving a constructivist teaching experiment. In the study, manipulatives within a computer microworld were used to solve fractional reasoning tasks and tasks that involved concepts of rate, ratio, and proportionality. Pretest results are presented, and…