A STUDY WAS CONDUCTED TO FIND OUT WHAT MENTAL PROCESSES ARE INVOLVED IN THE DEVELOPMENT OF THE CONCEPT OF CONSERVATION OF CONTINUOUS QUANTITY, AT WHAT AGES THESE PROCESSES ARE DEVELOPED IN CHILDREN, AND WHETHER THEY ARE ADEQUATELY EXPLAINED BY PIAGET'S THEORY. ONE HUNDRED 5.75 TO 7-YEAR-OLDS WITH A MEAN I.Q. OF 105 WERE PRETESTED AND CLASSIFIED AS…

A study examined the effects of manipulating the representation and organizational features of mathematical problems on students' abilities to solve them. Subjects for the study were 238 high school students who had demonstrated ability in computing percentages in a nonproblem solving format. The data analyzed in the study were student responses…

Computer Assisted Learning (CAL) is presented as a tool to assist with the teaching and learning of mathematics. Three types of learning are distinguished and the role of CAL within each of these areas is presented. The learning types described are the acquisition of concepts, the learning of relations and rules, and problem solving. Some CAL…

A discussion is presented concerning variables associated with children's representation of certain addition and subtraction problems. Problem components are classified as physical, pictorial, sensual, verbal-spoken, verbal-written, symbolic, or internal. Problems are discussed as abstract (symbolic) or nonsymbolic. Three problem components are…

This supplementary modern mathematics textbook is to help in-service teachers to broaden their background in mathematical concepts and ideas for grades 1 through 9. This in-service course was written with two basic objectives: (1) to help teachers to become familiar with some of the newer mathematical ideas and concepts for grades 1 through 9, and…

The materials in this bulletin consist of a series of daily lesson plans for use by teachers in presenting a modern program of eighth year mathematics. There is an emphasis on (1) an understanding of mathematical structure, (2) growth of a number system, (3) relations and operations in a number system, (4) a development of mathematical skills…

This curriculum bulletin is designed to help teachers meet the diverse needs in mathematics of the children in fifth grade classes. In addition to the emphasis that is placed on arithmetic computational skills, the bulletin shows how to include other areas considered important, such as concepts, skills, and ideas from algebra and geometry. The 80…

The purpose of the present study was to assess the overall effectiveness of a program of selected mathematical experiences for kindergarten children implemented through an inservice teacher education program. A total of 284 children from 10 public schools participated in the study. A booklet containing suggested teaching methods, special…

This learning module is designed to enable teachers to help children further develop their concepts of the meaning of numbers in our number system (including concepts of quanity, one-to-one correspondence, number order, before-after, greater than-equal to-less than, number patterns, and the structure of our number system). The module contains a…

As an integral step in a comprehensive, four year longitudinal analysis of concept development, a series of logical concept tasks based upon Piagetian theory, and suitable for administration to individuals five years of age or older, are described. The developmental focus was the logical groupements associated with the concrete operations period…

This report summarizes the results of a nationwide survey of the mathematical ability of young Americans at four age levels: 9-year-olds, 13-year-olds, 17-year-olds, and young adults ages 26-35. The study was conducted during the 1972-73 school year by the National Assessment of Educational Progress (NAEP). The mathematics assessment included six…

The product of a Special Studies Institute, this teacher developed resource guide for the emotionally handicapped (K-6) presents 37 activities designed to develop mathematics concepts and skills utilizing the urban out-of-doors. Focus is on experiencing math models, patterns, problems, and relationships found in an urban environment. Activities…

The present project provided for the development of a detailed quantitative curriculum appropriate for use in Head Start classes, trial of the developed materials with preschool children in Hawaii, and preliminary assessment of the curriculum in comparison with a more spontaneous, informal quantitative classroom experience. Directions for tasks…

Experiments conducted to find ways of teaching two and three year olds mathematical concepts were found to have general implications for concept learning. The failure of an initial attempt to teach the concepts "fat" and "skinny" led to a design of instructional procedures that would utilize a concept's name while trying to teach its semantic…

This review of recent Piagetian research in mathematics education is divided into three parts. In the first part the author states the assumptions upon which the remainder of the paper rests. These assumptions are based on Piaget's theory of cognitive development and he presents six relevant points. The second part is a review of recent research…