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)

Provides overview of significant facets of Error Factors (EFs)--promoters of underlying confusion in learning--discussing main types of EFs, sources of EFs in learning contexts, factors influencing frequency of EFs, use of tests and exercises, and effects of EFs and their mistreatment. Forty-seven sources are listed. (EJS)

The process of transition from a novice's state to that of an expert, in the domain of decimals, is described in terms of explicit, intermediate, and transitional rules which are consistent yet erroneous. Data from students in grades 6-9 are included. (MNS)

The Concepts in Secondary Mathematics and Science (CSMS) and Strategies and Errors in Secondary Mathematics (SESM) research projects based at Chelsa College, England, have shown the marked reluctance of secondary school students to use fractions when solving mathematical problems, even though they have been taught the topic for a number of years.…

The literature on proportional reasoning is reviewed. After methodology is discussed, strategies used to solve proportion problems, variables that influence performance, and training studies are each considered. (MNS)

This study found that teachers' ratings of their 8 severely mentally handicapped pupils' (ages 9-18) classroom behavior were correlated with children's performance on a discrimination learning task. The factors of attention/distractibility and responsivity to consequences correlated significantly with number of errors and number of trials to…

This paper analyzes "confused history" on the part of students and where that confusion might originate. The study is based on a modified form of content analysis of articles by R. Lederer. The articles offer a compilation of student errors in history and geography. Two major categories of errors are recognized: (1) Type I, represented by errors…

Research was conducted investigating properties of skill in learning, in the domain of elementary algebra. Thinking-aloud protocols indicate that early knowledge of the subjects studied was fragmentary, rather than involving systematically flawed procedures. Computational models, developed to simulate observed errors, focused on the role of…

The article explores information processing models of spelling performance and argues that an adequate theory of spelling processes must include: (1) qualitative changes in performance as a function of maturation that underlie development of automaticity; (2) transactional development of spelling-related knowledge structures and efficient…

Discusses the value of studying errors made by students in the process of learning science. Addresses 20 research questions dealing with student learning errors. Attempts to characterize errors made by students and clarify some terms used in error research. (TW)

This collection of four papers deals with problem solving and the measurement of problem solving. "Climbing Up the Competence Ladder: Some Thoughts on Meaningful Assessment of Problem-Solving Tasks in the Classroom" by K. C. Cheung uses the metaphor of a competence ladder to represent the problem-solving continuum with progressive…

The technique individuals use to narrow the possible responses in "solicits" (demands, requests, or questions requiring a response) in and outside the classroom often helps to avoid miscommunication and can be a useful tool for classroom teachers. A narrowing exercise was completed by 35 classes of native English and English as a second language…

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)…

This issue contains abstracts and critical comments on 11 articles, plus an editorial comment entitled "A Teacher Shortage?". Studies included concern solution processes on addition and subtraction examples; numerical rule induction; individual differences in performance on manipulative, pictorial, and symbolic tasks; the effect of a…

This collection of abstracts is part of a continuing series providing information on recent doctoral dissertations. The 20 titles deal with a variety of topics, including the following: use of word information cues by beginning readers; the relationship between problem solving and oral reading strategies; the ease with which children learn…