Shows how third graders' error patterns on a reading test related to their cognitive styles. Suggests corrective teaching strategies to follow such categorization and analysis. (RL)

Argues that a major cause of the inconsistent use of the past tense even by very advanced learners of English as a second language is an inadequate understanding of its actual meaning and discourse function. Suggestions are offered for teaching and practicing this tense in context. (SED)

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)

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)

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…

Results were interpreted as supporting an inhibition deficit theory of mental retardation. (Authors)

This paper reviews research about how speaking a dialect can influence students' writing and how writing should be taught to students who speak a dialect of English. Literature on the writing errors commonly made by speakers of Black English and other American dialects is summarized. (PP)

Findings on ratio and on fractions from a research project on strategies and errors in secondary mathematics are discussed, with typical errors described. Pupils seemed to learn rules without understanding. (MNS)

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)

Discusses the use of feedback from students and the analysis of students' error patterns to understand why students develop misconceptions in mathematics. Looks at learning vis-a-vis the abstract nature of mathematics and the students' cognitive development. (MDH)

We present a methodology for designing better learning environments. In Phase 1, 6th-grade students' (n = 223) prior knowledge was assessed using a difficulty factors assessment (DFA). The assessment revealed that scaffolds designed to elicit contextual, conceptual, or procedural knowledge each improved students' ability to add and subtract…

This study examined the effectiveness of a metacourse consisting of eight lessons interspersed over a semester-long beginning course in BASIC and aimed at providing mental models, problem-solving strategies, key concepts, and other heuristic structures. The experimental group consisted of 6 teachers who taught 9 classes of a total of 132 high…

This study was designed to follow up earlier work on mapping instruction. The two main goals were to: (1) test the effectiveness of mapping instruction as a general cure for "buggy" subtraction algorithms, and (2) explore two alternative explanations of how this new form of instruction works. It was hypothesized that mapping cures bugs…

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)

One important but undervalued aspect of productive vocabulary is collocation--the ways in which words are combined with one another. To move from receptive to productive vocabulary, students need to learn a wide variety of ways that words collocate with each other. This paper describes the major types of collocations, typical collocational errors…