This essay clarifies what it means to know mathematics by examining ways of knowing multiplication and explores what those ways of knowing imply for the teaching and learning of mathematics in schools. It reviews the perennial argument about whether computational skill or conceptual understanding should guide the school curriculum. A mathematical…

Several bodies of literature that shed light on some aspects of the relationship between information technology (IT) and research practice in science and engineering are reviewed. Subjects include: (1) the importance of calculation in research endeavors; (2) productivity in science and technology; (3) the philosophical differences between science…

A full-year's applied mathematics curriculum has been constructed around typical situations students may encounter. The curriculum is divided into seven units, two of which are used at various times throughout the year. The units focus on various mathematical aspects related to: (1) money management; (2) shopping; (3) furnishing a room; (4)…

Three studies were conducted in order to determine the source and frequency of children's difficulties in subtraction and to examine different approaches to remediation. In the first study, third-grade children were asked to solve subtraction problems and were observed and questioned about their solution processes. Children who had difficulty…

This document contains 14 papers selected from those presented at the Seventh Annual Conference of the Research Council for Diagnostic and Prescriptive Mathematics. Categorized as interdisciplinary studies are reports on "Mathematics as an Activity of Our Intelligence" by Skemp and a study on "The Brain Basis of Developing…

This document is part 2 of the workbook for grade 5 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…

The manual lists program objectives for the math curriculum at Kendall Demonstration Elementary School for hearing impaired students, objectives are grouped by age (preschool: grades 1, 2, 3, 4, 5, and 6). Objectives are organized into eight strands: relations (likenesses and differences among sets and numbers and on the order of sets and…

This study assessed the effectiveness of the remedial/developmental mathematics program developed at Ramapo College of New Jersey. Data was gathered from a random sample of 604 students who participated in the program for at least part of the three-year period 1981-84 and for whom both pretest and posttest scores were available in at least one…

This mathematics textbook, written in Portuguese, is designed for second graders. Developed from objectives set forth by the National Portuguese Materials Development Center, it follows closely the objectives and methodology of major curricula used in schools of the United States. The thirteen chapters deal with: numeration (0-999); addition with…

Flexible pavement materials exhibit complex mechanical behavior, in the sense, that they not only show stress and temperature dependency but also are sensitive to moisture conditions. This complex behavior presents a great challenge to the faculty in bringing across the level of complexity and providing the concepts needed to understand them. The…

Modern software practices call for the active involvement of business people in the software process. Therefore, programming has become an indispensable part of the information systems component of the core curriculum at business schools. In this paper, we present a model-based approach to teaching introduction to programming to general business…

Noting that ratios can be used to great advantage in scoring informal reading tests, such as the cloze procedure and the informal reading inventory, this paper explains the procedures for calculating cross-ratios and percentages when computing scores for informal reading assessments. Examples are provided for using ratios to determine scores for…

The differences in responses of grade 6 boys and girls to selected items on a standardized test are examined. Data are the responses of approximately 36,000 children during 1978-79 to two test forms of the California Assessment Program's Survey of Basic Skills: Grade 6 (SBS:6). Performance on specific arithmetic items is studied and involves the…

A preliminary framework for research on effects of calculators on mathematics learning is presented. A research methodology is urged that places less emphasis on tight controls, exact replicability, and numbers amenable to statistical analysis. New curriculum needs to be developed that looks at the calculator as a mechanism to be explored in its…

Three different methods of teaching fraction computation were compared using community college student scores on measures of fraction computation, fraction understanding, and attitude towards mathematics. One method used conventional algorithms; the second, a control for the effect of using a calculator, used conventional algorithms and…