A brief overview is given of a research project funded to investigate the cause and cure of errors in ratio and proportion, algebra, and fractions. Choosing pertinent information, interviewing students, listing significant features, developing lessons, and testing the materials are considered. (MNS)

Many children with learning handicaps have difficulty learning to write numerals. The source of numeral-writing difficulties and some things which can be done to teach or remedy this skill are presented. (MNS)

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)

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)

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)

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)

A classroom exercise to help college students of economics conceptualize, create, and learn from graphs is described. The technique is illustrated with an exercise concerning the concept of supply and demand in consumer markets. Classroom time required for the activity is small, and students become adept at manipulating models without anxiety.…

Presents an activity applicable at the beginning of the year to review necessary algebra concepts that are often misunderstood by students. Presents a true/false worksheet made up of examples illustrating common algebra and trigonometry errors made by students. (MDH)

This transcript of and guide to a two-cassette course designed to assist New Yorkers in erasure of their accents can be used for either individual or group study. Narrative and taped demonstrations of Standard American English that pinpoint typical phonological barriers and pronunciation difficulties are outlined. The author's own system of…

Writing problems common among many college students are "phrasal" errors such as limited vocabulary, inability to distinguish standard usage from slang or jargon, a tendency to frame thoughts in cliches, a peppering of meaningless intensifiers, and a gift for redundancy and wordiness. To help correct these problems, a text-checking system called…

An overall schema of interpretation for programming instructors is given, so that the misconceptions students develop in programming can be determined more readily. Types of language-independent and -dependent bugs, how they can be identified, and how to help students overcome them are addressed. (MNS)

Computer software with graphic representations of functions can teach algebraic concepts, or can blur or obscure concepts of great importance. Making good use and bad use of visual imagery are each discussed. Then a general theory of interpretation of graphs is proposed, and a list of examples is presented. (MNS)

A checklist is provided for assessing common errors in speech and language arts. Columns list matched sets of target skills and possible problem behaviors for educational diagnosis and intervention. Skills are divided into sections on language, articulation, voice, fluency and nonverbal communication including prosody, kinesics, and proxemics. (PB)

A table is presented to facilitate error analysis for students experiencing spelling difficulties. Common error patterns are listed along with possible sources of errors and sample words illustrating both stimulus and response according to the erroneous pattern or habit. The three most common error patterns are identified. (PB)