Ten crucial mathematical concepts with which errors are made are listed, with methods used to teach them to high school students. The concepts concern order, place values, inverse operations, multiplication and division, remainders, identity elements, fractions, conversions, decimal points, and percentages. (MNS)

A test score can be used for individual instructional diagnosis after determining whether: (1) difficulty of the test items was consistent with the complexity of the content measured; (2) items measuring the same underlying process were about equally difficult; and (3) partial credit scoring would increase the reliability of the diagnosis. (LMO)

Illustrated first is the case in which a wrong procedure (with fractions) leads to a correct result. Trying to justify why it works in this case and looking for similar patterns involved interesting algebraic considerations as well as use of computers. (MNS)

A series of common misconceptions with regard to infinite sets is considered. Several notions of infinite numbers proposed by different mathematicians are compared. It is argued that so-called errors should rather be called alternative conceptions. (MNS)

Some of the errors associated with use of data from the National Center for Education Statistics' Higher Education General Information Survey (HEGIS) are described, 1980 HEGIS and census reports of college enrollment are compared in tables of data, and a more cautious use of HEGIS data is recommended. (MSE)

Preschool, second-, and sixth-grade children performed developmentally gradated, easy and difficult visual discrimination tasks in a quiet room or with one of two levels of extraneous auditory stimulation. Subjects' errors, response latencies, and glances away from the task were recorded. (Author/RH)

Two computer-based instructional design strategies were investigated to improve the two-phase process of concept learning by being response sensitive to error patterns. The first strategy determined the format of examples by adaptive or fixed selection; the second strategy adjusted the selection according to rules of generalization and…

The need to provide understandable problems and ways to help children understand problems are explored. An interview with a sixth grader depicts his incorrect strategies and leads to suggestions for teaching problem solving using a range of mathematical models for each operation. (MNS)

An information-processing model was tested for a laboratory visualization task that represents one adaptation of a standardized spatial ability test. The pattern of results suggests that individual differences are a function of differences in the accuracy and/or quality of the mental representation, not just speed of processing. (Author/BW)

Appraises the results of an exercise in which students in a composition class attempted to write detective stories. Concludes that many of their syntactic errors result from their intentions exceeding their level of writing skill. (RBW)

Presents the results of a study of the errors made on essays by Moroccan students of English as a second language. The average number of grammatical errors was 10.62 per paper and the most frequent errors were related to tense, prepositions, articles, form, and concord. (SED)

Lists and discusses certain recurrent errors made by adult Arab students of English literature at the university level. The errors were produced spontaneously in free writing and not through mechanical drills or isolated occurrences of sentences, so they reflect the learner's competence in English. (SED)

The transformation of a solid to its net is based on something quite different from simple perceptual impression. It is a mental operation performed by manipulating mental images. The aim of this study was to observe pre-service and in-service teachers' ability to visualize the transformation of a curved solid to its net and vice versa, and to try…

We report a study of 10-14 year old children's use of additive strategies while solving ratio and proportion tasks. Rasch methodology was used to develop a diagnostic instrument that reveals children's misconceptions. Two versions of this instrument, one with "models" thought to facilitate proportional reasoning and one without were…

Instructors of Composition I at Lansing Community College (LCC) in Lansing, Michigan, are required by the Department of Communication to grade a paper in four areas: content, structure, style, and mechanics. The policy, in effect in its present form since 1982, places heavy emphasis upon the conventions or "mechanics" of writing Edited…