We examined the type of errors on multiplication and division computation problems of 326 rising fifth graders enrolled in four elementary schools in Northern Portugal. We further examined whether there was a difference in the number of errors across age and whether there was an association between students' performance on number knowledge and…

To diagnose classroom situations is crucial for teachers' everyday practice. The approach of worked examples with errors seems promising to support the diagnosis of classroom situations in student teachers (Stark et al. in "Learn Instr" 21(1):22-33, 2011). To enhance that approach, error-explanation prompts and an adaptable feedback…

The study investigated types of errors made by learning disabled children by analyzing written responses to multiplication and division problems. Error classifications are discussed, and possible causes are suggested. The importance of thorough investigation of errors by teachers is stressed. (Author/DB)

The need for developing a technology of teaching that equals current sophistication of microcomputer technology is addressed. The importance of principles of learning and behavior analysis is emphasized. Potential roles of stimulus control and precise error analysis in educational program development and in prescription of specific learning…

Describes a diagnostic and remedial spelling approach used with high school students. (HOD)

Two studies involving 242 college students are described. First, a 15-item test on means was given, identifying students' misconceptions. In the experiment that followed, most students were able to acquire the appropriate schema of statistical concepts by engaging in diagnostic activities embedded in a feedback-corrective procedure. (MNS)

Several examples of mathematical diagnosis using microcomputer software are presented, with possible future considerations suggested. Three limitations of the software are discussed. (MNS)

Types of errors made by children in addition and subtraction are presented and discussed. Suggestions are given for testing, diagnosing, and prescribing for instruction. (MNS)

The article suggests use of a miscue analysis of mathematics problems in children with learning difficulties. Analysis of errors, past learning, and monitoring of progress are illustrated with a case study of a 10-year-old British learning disabled boy. (DB)

Specific procedures for assessing a handicapped student's mastery level within a continuum of mathematics skills are described, and analysis of error patterns discussed. (CL)

A computer program is given which will generate a list of descriptions of the items to which a student has responded incorrectly on the Keymath Diagnostic Arithmetic Test. It is designed for the TRS-80, Model III, with two disk drives. The documentation lists all required materials, describes the six options and how to use them, indicates the…

Many worthwhile mathematical activities can be generated by an overgeneralization. Some conjectures and their verification are described, with some exploration of historical procedures. (MNS)

A set of brief reflections about different aspects of mathematical errors and their roles in education is given. The nature and variety of errors and their positive use in learning mathematics are highlighted. (MNS)

The article reviews the development of mathematics error analysis as a means of diagnosing students' cognitive reasoning. Errors specific to addition, subtraction, multiplication, and division are described, and suggestions for remediation are provided. (CL)

This document contains 15 research papers presented at the Fourth and Fifth Annual Conferences of the Research Council for Diagnostic and Prescriptive Mathematics. The papers are organized into four sections. In part I, four position papers by Romberg, Engelhardt, Ashlock, and Heddens reflect research ideas which underlie the Council. Part II…