Three theorems for Pythagorean triples are presented, with discussion of how students can amend their ideas about such numbers. (MNS)

Some limitations of computing with calculators and computers are described, with particular reference to typical computations which might be performed by senior secondary school students. Types of errors, the laws of number, and intermediate round-offs are each illustrated, with conclusions and implications. (MNS)

A content-oriented analysis of written solutions to test items in Israeli high school graduation examinations in mathematics yielded six error categories: misused data; misinterpreted language; logically invalid inference; distorted theorem or definition; unverified solution; and technical error. (Authors/MNS)

The evidence suggests that students in grades 5 through 8 have difficulty relating isometric type drawings to the rectangular solids they represent. Errors made by students were analyzed and the effect of instruction in spatial visualization activities assessed. (MNS)

A theory of sentence production is presented that accounts for facts about speech errors, including (1) the kinds of errors that occur; (2) the constraints on their form; and (3) the conditions that precipitate them. Two simulation models are introduced to illustrate how the theory applies to phonological encoding processes. (Author/LMO)

Reports results obtained when 24 14-year-old students were presented with algebra tasks by a computer-based modeling system and, four months later, comparable paper and pencil tests together with detailed interviews. Comparison of the results revealed profound misunderstandings of algebraic notation and identified classes of strategies used by…

Describes two experiments in which subjects read aloud pairs of nonsense syllables rapidly presented on a display screen or repeated the same syllables presented auditorily. Results support an explanation of the speech error generation process in which a segment's strength is a function of its frequency of occurrence in English. (SED)

Notes the existence of a collection of computer-readable files containing misspellings of English words, which is now available to researchers from the Oxford Text Archive in England. Describes the content of the collection. (FL)

Recent research on native speakers' reactions to nonnative speech that views listeners, speakers, and language from a variety of perspectives using both objective and subjective research paradigms is reviewed. Studies of error gravity, relative intelligibility of language samples, the role of accent, speakers' characteristics, and context in which…

Concludes that there is no adequate support for recommending that teachers attempt to increase the incidence of a child's self-corrections when reading. (FL)

What two teachers found when they took a close look at the results of a sentence-solving test given in grades four and five is reported. Error patterns appeared less frequently after instruction but recurred on retention tests. How students can be helped is suggested. (MNS)

Errors made by the foreign language learner are classified and discussed. (RM)

A brief summary of this conference, focussing on foreign and second language testing, is given. Topics covered include: publishers' tests, semantic aspects of error analysis, factor analysis and language proficiency, learning style identification, the foreign language placement test of the U.S.A.F. Academy, assessment of language dominance, and…

In this paper, we will discuss the way various features of consciousness interact with each other and with cognition, specifically, the cognition of mathematical reasoning and problem solving. Thus we are interested in how consciousness and cognition "work," in a somewhat mechanistic way, rather than in larger philosophical questions about…

This paper reports on the first stage of a research project still in progress aiming at identifying undergraduate students' difficulties and errors in solving linear algebra problems. Some students' difficulties related to very basic notions of vector space theory are shown and discussed with respect to both Balacheff's theory of conceptions and…