The rule space model permits measurement of cognitive skill acquisition and error diagnosis. Further discussion introduces Bayesian hypothesis testing and bug distribution. An illustration involves an artificial intelligence approach to testing fractions and arithmetic. (Author/GDC)

Second and third graders from six Dutch elementary schools (N = 168) solved two sets of almost identical addition and subtraction sums at a two-week interval. Inconsistency in strategies, which characterized half the subjects, was related to unfamiliar sums and resulted in misinterpreted errors. (TJH)

Focuses on the learner's problems in producing the correct grammatical gender for a given noun in German. Discusses the complexity of gender assignment and the lengthy process of acquisition of gender. Examines error patterns made by English students of German. (Author/LMO)

Results from a British study on Strategies and Errors in Secondary Mathematics are considered. Students' views of algebra and their difficulties are summarized, with some suggestions for teachers. (MNS)

Attention is called to the apparent widespread misunderstanding of algebraic notation by secondary school students, and how this may arise from some common approaches to teaching algebra to beginners is discussed. (MNS)

Numerical inaccuracies, which occur in many ordinary computations, can create serious problems and render answers meaningless. Cancellation and accumulation errors are described, and suggestions for experimentation are discussed. (MNS)

Four different conceptions of error-making from a pedagogical perspective are developed. Using errors as springboards for learning is advocated, so that better understanding of content and of the nature of mathematics results. (MNS)

This is a report of an application of the interpretation of errors and springboards in a real-life situation. If and why we need to reduce fractions is considered. (MNS)

A common mistake in adding fractions involves the confusion betwen the concepts of fraction and ratio. A coherent system to operate with ratios is developed. (MNS)

Reports on the effectiveness of a theoretically based computer spelling program designed to help learning disabled students practice lists of words. The program employs a type of computer response called Imitation-Plus-Modeling. (AEA)

Describes a microcomputer-based system for diagnosing children's multiplication errors which incorporates the knowledge base of all known systematic multiplication errors, and utilizes a modular approach to cope with the program's complexity. Each module's function, how the programs interact, and the design of pupil-machine interaction are…

Evaluated the effects of stimulus complexity and rule usage on a visual perspective-taking task administered to preschoolers, first, third, and fifth graders, and adults. Errors decreased with age, and more errors occurred with the more complex visual arrays. Very young children could not reliably match a photograph to a physical array. (Author/RH)

Two studies of children learning to read (one before the introduction of phonics instruction, the other while phonics instruction was being given) found that error-target similarity increased with reading attainment. This suggests that while reading aloud, considerable knowledge of spelling develops independently of explicit use of phonics. (CMG)

A model of subtraction development and the computing difficulties and research issues suggested by the model are outlined. Demands of simultaneous processes, difficulties with informal subtraction, and the impact on the counting-up procedure are discussed. (MNS)

Approaches proposed for educational diagnostic assessment are reviewed and identified as deficit assessment and error analysis. The development of diagnostic instruments may require a reexamination of existing psychometric models and development of alternative ones. The psychometric and content demands of diagnostic assessment all but require test…