This study extends past research on students' understanding of slope by analyzing college students' mistakes on routine tasks involving slope. We conduct quantitative and qualitative analysis of students' mistakes to extract information regarding slope conceptualizations described in prior research. Results delineate procedural proficiencies and…

Use of peer instruction and facilitation has surged in undergraduate education at large colleges and universities in recent years. Studies on peer instruction have been directed primarily at student learning gains and affective outcomes among the facilitators. For peer instructors, the relationship between their teaching effectiveness and their…

Purpose: Starting from the identification of some theoretically driven instructional principles, this paper presents a set of empirical cases based on strategies to learn from errors. The purpose of this paper is to provide first evidence about the feasibility and the effectiveness for learning of video-enhanced error-based strategies in…

The aim of this study is to analyze the mistakes that have been made in the group theory underlying the algebra mathematics. The 100 students taking algebra math 1 class and studying at the 2nd grade at a state university in Istanbul participated in this study. The related findings were prepared as a classical exam of 6 questions which have been…

This current study examined the effects of the type of errors learners make (that is, phonological, lexical and grammar), proficiency level of the learners (that is, A1, A2, B1, B2 and C1) and nature of the recasts (that is, long and short) on the uptake of the learners. The data of this study came from the video-recordings of A1, A2, B1, B2 and…

The pressures inherent in trying to be perfect can undermine learning and exacerbate anxiety in certain students. In the current article, we review existing research and theory on the role of perfectionism in language learning anxiety and performance deficits. Our analysis highlights the complexities inherent in the perfectionism construct,…

Learning to ensure patient safety in complex health care environments is an internationally recognised concern. This article explores and compares Finnish (n = 22) and British (n = 32) pre-registration nursing students' important learning events about patient safety from their work placements in health care organisations. Written descriptions were…

The aim of the study is to examine prospective mathematics teachers' pedagogical content knowledge in terms of knowledge of understanding students and knowledge of instructional strategies which are the subcomponents of pedagogical content knowledge. The participants of this research consist of 98 prospective teachers who are studying in two…

To improve mathematics achievement, students' errors should be treated as a source to stimulate their understanding of the conceptual and procedural basis of their errors. The study investigated 20 Chinese and 20 U.S. high school teachers' interpretations and responses to a student's errors in solving a quadratic equation. The teachers' responses…

To learn from an error, students must correct the error by engaging in sense-making activities around the error. Past work has looked at how supporting collaboration around errors affects learning. This paper attempts to shed further light on the role that collaboration can play in the process of overcoming an error. We found that good…

The goal of this study was to determine the mathematics achievement level in basic numeracy and algebra concepts of students in a two-year program in a technical vocational school of higher education and determine the errors that they make in these topics. The researcher developed a diagnostic mathematics achievement test related to numeracy and…

The paper focuses on an unexplored area of metalinguistic awareness in the acquisition of third language (L3) phonology, hereafter referred to as metaphonological awareness. It addresses the role of attention and noticing in input processing. The contribution constitutes a part of a larger scale project on metaphonological awareness in various…

We report on an exploratory study comparing the performance as online tutors of two groups of beginner eleven-year-old students of English in Colombia and Spanish in New Zealand. The native speaker students of the foreign language the others were learning corrected paragraphs written by their peers. The feedback provided by each group of tutors…