An ethnographic study documented and analyzed the idiosyncratic symbols kindergarten children employ to encode their experiences in the domains of mathematics, music, and visual art, in order to identify any patterns in use and meaning. In the area of mathematics, children were given common objects and asked to sort them. Four categories of…

This document consists of the first two volumes of a new annual serial devoted to surveying some of the important developments in the mathematical sciences in the previous year or so. Mathematics is constantly growing and changing, reaching out to other areas of science and helping to solve some of the major problems facing society. Volumes 1 and…

This module presents a real-world context in which mathematics skills are used as part of a daily routine. The context is the industrial and engineering technology area, and the module aims to help students see the significance of mathematics skills in performing daily tasks. Materials in the module, most of which are designed for the teacher to…

This module presents a real-world context in which mathematics skills are used as part of a daily routine. The context is the insurance field, and the module aims to help students see the significance of following through various processes in trying to obtain a solution. Materials in the module, most of which are designed for the teacher to…

This module presents a real-world context in which mathematics skills are used as part of a daily routine. The context is the medical laboratory technology field, and the module aims to help students develop the ability to use mathematics computations while performing tasks similar to those performed by a medical technologist. Materials in the…

This breakthrough series of modules is intended to cover a range of topics and illustrate key ideas in mathematics, science, and technology education by actively engaging students in their learning processes. The module presented in this package is on measurement. Activities include posing questions, setting tasks, and encouraging students to…

This paper proposes a theory that can account for differences between everyday and formal mathematics knowledge and a set of processes by which informal knowledge is transformed into formal mathematics. After an introduction, the paper is developed in five sections. The first section lays out the nature of informal, everyday mathematics knowledge.…

Since the mid-1980's, computers in elementary and middle grade schools have functioned to a large extent as a medium for student practice in the skills and concepts of basic mathematics and logic. This report presents the results of a 2-year nationwide field experiment designed to provide credible evidence about the effects of using computers in…

This curriculum guide, designed for use with secondary migrant students, presents mathematics activities in the areas of whole numbers, fractions, decimals, percent, measurement, geometry, probability and statistics, and sets. Within the categories of whole numbers, fractions, and decimals are activities using addition, subtraction,…

In order to help students learn mathematics skills and how to apply them, a staff development workshop for vocational tutors was held at Calderdale College (England). The workshop focused on three objectives: to identify and raise awareness of students' needs, to identify barriers to learning, and to identify ways of supporting students. Four key…

The importance accorded mathematical connections in the professional literature is not properly reflected in the relatively small number of empirical investigations of students' mathematical connections. The purpose of this study was to investigate the mathematical connections that students form and use in solving nonroutine problems. Two main…

This study examined the use of heuristic problem-solving strategies in math by seventh-graders under three different conditions: working individually; working in groups; and working as cooperative teams. No significant differences were found for the three conditions over a 5-week experimental period on a problem solving post-text (the Maryland…

This document contains an inservice presentation for teaching common problem solving strategies in mathematics word problems. Sections included are: (1) "Introduction"; (2) "Common Word Problem Strategies"; (3) "Break into Parts"; (4) "Guess and Check/Test"; (5) "Working Backwards"; (6) "Look For a Pattern"; (7) "Make or Construct a Table, Chart,…

This module is the first in a series of 12 learning modules designed to teach occupational mathematics. Designed for improving machine shop technology skills, this module begins with an introduction to the topic. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are…

This module is the seventh in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include fractions, fraction to decimal conversion,…