Although the use of simulation to teach the sampling distribution of the mean is meant to provide students with sound conceptual understanding, it may lead them astray. We discuss a misunderstanding that can be introduced or reinforced when students who intuitively understand that "bigger samples are better" conduct a simulation to…

Student errors are springboards for analyzing, reasoning, and justifying. The mathematics education community recognizes the value of student errors, noting that "mistakes are seen not as dead ends but rather as potential avenues for learning." To induce specific errors and help students learn, choose tasks that might produce mistakes.…

Students hold many misconceptions as they transition from arithmetic to algebraic thinking, and these misconceptions can hinder their performance and learning in the subject. To identify the errors in Algebra I which are most persistent and pernicious in terms of predicting student difficulty on standardized test items, the present study assessed…

An auditory lexical decision experiment was conducted to find out whether sound-to-spelling consistency has an impact on German spoken word processing, and whether such an impact is different at different stages of reading development. Four groups of readers (school children in the second, third and fifth grades, and university students)…

Mathematics teachers play a unique role as experts who provide opportunities for students to engage in the practices of the mathematics community. Proof is a tool essential to the practice of mathematics, and therefore, if teachers are to provide adequate opportunities for students to engage with this tool, they must be able to validate student…

Every measurement in science, every experimental decision, result and information drawn from it has to cope with something that has long been named by the term "error". In fact, errors describe our limitations when it comes to experimental science and science looks back on a long tradition to cope with them. The widely known way to cope…

This study investigated preservice teachers' perceptions of their knowledge and development resulting from analyzing student work in an undergraduate mathematics education course. Participants were given opportunities to view and analyze student work examples that portrayed errors in thinking as well as alternative solution methods. Thirty-eight…

Through analyzing response latencies, errors, and self-repairs in Mandarin, this investigation explores how monolingual, bilingual, and trilingual adults process their speech production differently using cognitive control mechanisms. In this study we conducted two experiments involving speech production in Mandarin. In the two experiments, 81…

This research examines the effects of poor working memory skills on a Grade 2 learner. Mediated learning is the theoretical framework that underpins this research project as the focus is on developing cognitive functions, particularly focusing on the working memory of a learner. An independent case study was conducted on one learner, using a…

Providing captions for videos used in online courses is an area of interest for institutions of higher education. There are legal and ethical ramifications as well as time constraints to consider. Captioning tools are available, but some universities rely on the auto-generated YouTube captions. This study looked at a particular type of video--the…

English grammar and lexis seem to be among the most problematic areas in second language (L2) acquisition. A good number of past studies have investigated English learners' different kinds of errors, using a variety of elicitation techniques, such as a translation task, a grammaticality judgment task, a role play, an essay, etc. The current study…

This paper attempts to demonstrate the differences in writing between International English Language Testing System (IELTS) bands 6.0, 6.5 and 7.0. An analysis of exemplars provided from the IELTS test makers reveals that IELTS 6.0, 6.5 and 7.0 writers can make a minimum of 206 errors, 96 errors and 35 errors per 1000 words. The following section…

In 4 word-translation experiments, we examined the different representational frameworks theory (Crutch & Warrington, 2005; 2010) that concrete words are represented primarily by category, whereas abstract words are represented by association. In our experiments, Chinese-English bilingual speakers were presented with an auditory Chinese word…

The memorial costs and benefits of trial-and-error learning have clear pedagogical implications for students, and increasing evidence shows that generating errors during episodic learning can improve memory among younger adults. Conversely, the aging literature has found that errors impair memory among healthy older adults and has advocated for…

This article explores the experiences of a lecturer and students in a class on the World Wars, where wargaming is used alongside traditional lecturing as a learning experience. It outlines the processes used and then evaluates the various kinds of learning, historical and other, that occur. Drawing on literature associated with history education…