Research recurrently indicates that children who have difficulty with arithmetic often use systematic routines that yield wrong answers. Recent research has focused less on identifying the most common errors among groups of children and more on analyzing individual children's errors. This paper considers the source of systematic errors in…

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…

Reported are data from the first individual interview conducted in 1978 as part of a 3-year study on addition and subtraction using verbal problem solving. The research program is attempting to relate pupil performance on selected arithmetic skills to pupil cognitive processes, instructional materials, and teachers' classroom behaviors. From three…

Reported are data from the second individual interview conducted in 1979 as part of a 3-year study on addition and subtraction using verbal problem solving. From three schools in Wisconsin that used the Developing Mathematical Processes program, l50 first-grade children were individually administered six problem types (two solvable by addition and…

Data are reported from the third individual interview conducted in 1979 as part of a 3-year study on addition and subtraction using verbal problem solving. From three schools in Wisconsin that used the Developing Mathematical Processes program, l50 first-grade children were individually administered six problem types (two solvable by addition and…

Data are reported from the fourth individual interview conducted in 1979 as part of a 3-year study on addition and subtraction using verbal problem solving. Ninety-nine second-grade children in two schools in Wisconsin that used the Developing Mathematical Processes program were individually administered six problem types (two solvable by addition…

Data are reported from the fifth individual interview conducted in 1980 as part of a 3-year study on addition and subtraction using verbal problem solving. Ninety-six second-grade children in two schools in Wisconsin that used the Developing Mathematical Processes program were individually administerd six problem types (two solvable by addition…

Data are reported from the first and second individual interviews conducted in 1980 in the second phase of a 3-year study on addition and subtraction using verbal problem solving. The second phase is concerned with children's performance on verbal addition and subtraction problems which contain two-digit numbers, half of which require regrouping…

Data are reported from the eighth individual interview conducted in 1981 with students participating in a 3-year study on addition and subtraction using verbal problem solving. Ninety-two third-grade children in two schools in Wisconsin that used the Developing Mathematical Processes program were individually administered l8 verbal problems that…

This paper describes the various procedures associated with the individual interviews that are part of the data gathering processes of the Coordinated Study being carried out by the Mathematics Work Group of the Wisconsin Research and Development Center for Individualized Schooling. The first major section describes the six basic verbal addition…

Recent research on solving addition and subtraction word problems has resulted in the construction of theoretical models of children's problem-solving processes. Some of these models have been translated into computer programs. Characteristics and predictions of the theoretical analysis developed by Riley, Greeno, and Heller (1983) are discussed…

Most studies of children's solution processes on simple addition and subtraction word problems have used individual interviews or the analysis of error patterns on paper-and-pencil tests as the primary data-gathering techniques. The present paper reports an investigation in which the contribution of eye-movement data was explored for studying…

A theory of how people learn certain procedural skills is presented. It is based on the idea that the teaching and learning that goes on in a classroom is like an ordinary conversation. The speaker (teacher) compresses a non-linear knowledge structure (the target procedure) into a linear sequence of utterances (lessons). The listener (student)…