Error analysis is an instructional strategy that can assist teachers to identify learners' areas of weakness in mathematics and that can point to remediation of those errors. This article explores the errors learners exhibit when solving quadratic equations by completing the square using Newman's Error Analysis Model. A research study explored the…

It is commonly agreed that learner target language output and spoken interaction are essential to communicative language learning. This video-based classroom observation study of five lower secondary schools in Norway investigated how second language (L2) English and third language (L3) French teachers responded to their students when they spoke…

Troubleshooting activities require students to diagnose teacher-crafted erroneous examples by detecting and explaining the conceptual errors driving them. In a previous study, the author tested whether diagnosing erroneous examples and then scoring them using a rubric that contained the related worked examples, a step-by-step strategy to solve a…

In the past decade (2007-2017), research on written corrective feedback (WCF) has been proliferating in English-as-a-Second-Language (ESL) and English-as-a-Foreign-Language (EFL) contexts, and new developments in this field of research are evident. To synthesize the latest advancement in WCF research, a systematic review of recent literature on…

The aim of this study is to examine the pre-service teachers' pedagogical content knowledge about the subject of circle in the context of knowing the source of students' mistakes and offering correct solutions. The participants of the study consisted of 30 pre-service teachers who were studying in the last grade of Department of Mathematics…

The present study is an action research in the field of education. The aim of the study was to see if immediate transfer of feedback and reinforcement can help to improve students' academic performance and help in the understanding and incorporation of feedback. The study was done on a sample of 15 psychology students of an international School in…

This pilot study explores the effectiveness of a strategy for overcoming post-primary students' misconceptions within the topic of algebra. Although central to the study of mathematics, algebra can be an area of difficulty for many students. A misconception is typically classified as flawed understanding of a concept causing repeated errors, and…

The authors' aim was to determine the extent to which error detection contributes to the explanation of a cognitive and motivational model of student performance in an assessment test. A total of 151 science students of secondary education participated in the investigation. Two causal models were developed using a structural equation analysis.…

From a constructivist perspective on learning, mistakes are seen as natural elements of learning processes. A supportive and constructive way of dealing with student mistakes has shown to affect students' individual motivation and learning performances in a favorable way. In classroom settings, however, making mistakes is not just a personal but…

This study examined and compared different written corrective feedback techniques used by English as a second language (ESL) teachers in three different educational contexts and levels (primary, secondary, and college) in Quebec, Canada. In particular, it examined whether there were any differences in the types of errors made, the kind and degree…

Effectively leading whole-class mathematics discussions is made more difficult when students' contributions are incomplete, imprecise, or not yet correct, and not easily correctable--what we call "errors." Through purposefully designed opportunities to investigate, enact, and reflect on teaching, teacher candidates (TCs) can develop…

This study aims to analyze the relationship between secondary school seventh grade students' perception of mathematical self-efficacy, mistake-handling learning awareness, and mathematical anxiety; and to define the power of mistake-handling learning and self-efficacy in predicting mathematical anxiety. In this study, relational model was used and…

Educational research assumes that error reflections are efficient if they include the rationale behind the own error instead of just correcting the error. However, thus far there is a lack of empirical evidence regarding this aspect. Thus, we conducted a field experiment with pre-post-follow-up design and with 7th and 8th grade students (N = 174).…

Ask any teacher what he or she needs more of, and it is a good bet that time will top the list. Anything that promises to recoup a little bit of their workday time is sure to be a best seller. One overlooked time-saver is in how they use feedback. Teachers know that feedback is important for teaching and learning. Unfortunately, most secondary…

We present a new feedback strategy implemented in a natural language generation-based e-learning system for German as a second language (L2). Although the system recognizes a large proportion of the grammar errors in learner-produced written sentences, its automatically generated feedback only addresses errors against rules that are relevant at…