Describes the acquisition, frequency, and function of the English articles ("a,""the," and "O"--the zero article). Explains the two types of zero article (zero and null), and shows how these occur in alternation with "a" and "the." Also provides a framework for the presentation of the articles in the classroom at the beginning, intermediate, and…

Assignment projects for high-achieving ninth graders were developed, and a comparative evaluation study indicated that they were effective. It bacame clear that teachers needed more practical support, so a diagnostic study was undertaken, leading to the establishment of a link between a categorization of student difficulties and a hierarchy of…

Why students have difficulty with a proof (such as Cantor's) is discussed, with the focus on proof by contradiction. Methods may fail due to the difficulty of the concept and lack of understanding of how students are thinking. (MNS)

An analysis of the 1990 National Assessment of Educational Progress (NAEP) found that only 46 percent of all high school seniors demonstrated success with a grasp of decimals, percentages, fractions and simple algebra. This article investigates error patterns that emerge as students attempt to answer questions involving the ability to apply…

A worldwide problem in Engineering education is the high rates of students' failure and drop out particularly at the beginning of the course. This is related to the process by which students learn Mathematics. An innovative methodology of teaching calculus was developed and it is presented in this paper. The approach, based on both course…

The possibility of approximating a function with a linear combination of exponential functions of the form e[superscript x], e[superscript 2x], ... is considered as a parallel development to the notion of Taylor polynomials which approximate a function with a linear combination of power function terms. The sinusoidal functions sin "x" and cos "x"…

Often, students repeat the mistakes they have made in answering exam questions, even after classroom discussion of their errors. They do not appear to have "learned from their mistakes". One possible solution is to guide students through a more active process of addressing their mistakes. We will describe a classroom study focused on the…

We tested the effects of writer immersion and the responses emitted by a peer reader across four male middle school participants diagnosed with behavioral disorders. The participants were chosen for this study due to their high structural errors and inability to write functionally in order to affect the behavior of a reader. Writer immersion and…

This study investigated the effects of the Direct Instruction writing program, "Expressive Writing" (Engelmann & Silbert, 1983), for high school students with learning disabilities (LD). The study used a multiple probe design across participants and results indicate the effectiveness of "Expressive Writing" in improving the writing skills of high…

This article deals mainly with the pedagogical application of error analysis and error correction, and directs itself to foreign language and second language teachers and to teachers of speakers of nonstandard dialects. (CLK)

This transcript and guide of a two-cassette course is designed to assist Hispanic immigrants erase their foreign accents. The course is appropriate for either individual or group study. The guide includes narrative and taped demonstrations of American English that pinpoint typical phonological barriers and pronunciation difficulties and provide…

The research on which this study is based found that 50% of the errors in English of French-speaking students were due to interlingual causes and 50% had their source within the target language itself. The question of a correlation between the errors and the teaching method used is explored. Five methods are discussed and evaluated:…

Outlines a methods for applying the findings of contrastive analysis to the development of pedagogical materials. (AM)

Analysis of errors children make is modeled both with and without computers. Patterns of thinking are traced for a fifth grader, with the discussion focused on getting clues for remedial instruction by analyzing the dialog. (MNS)

Examines some of the theoretical and practical objections to error analysis and proposes it would be more appropriate for teachers to lead students through the use of creative language exercises into the use of many of the possible sentences in a language. (HOD)