We report on a study conceived with the idea that the use of logic in regard to mathematical reasoning as it actually occurs in practice is not limited to its prominent role in formal deductions and proofs. Interpretation of different mathematical situations elicits in fact the use of mostly unconscious forms of reasoning, close to those of…

Thinking is a tool to construct knowledge in learning mathematics. However, some college students have not been fully aware of the importance of constructing their knowledge. Therefore, this study aims to explore students' thinking processes in completing mathematical proofs through assimilation and accommodation schemes. This research was…

The purpose of this study is to examine the written response instruments used in postgraduate theses completed in the field of special education in Turkey between 2015 and 2018 and explore the psychometric profiles of these instruments. In the study, a total of 137 master's theses and 37 dissertations were reviewed using the Data Collection…

This article describes the steps we went through in designing and validating an item bank to diagnose linguistic problems in the English academic writing of university students in Hong Kong. Test items adopt traditional item formats (e.g., MCQ, grammatical judgment tasks, and error correction) but are based on authentic language materials…

We explore the transition from school to university through a commognitive (Sfard 2008) analysis of twenty-two students' examination scripts from the end of year examination of a first year, year-long module on Sets, Numbers, Proofs and Probability in a UK mathematics department. Our analysis of the scripts relies on a preliminary analysis of the…

The purpose of this article is to describe the process of a proof construction. It is more specific on the failure of the process. Piaget's frameworks, assimilation and accommodation, were used to analyze it. Method of this research was qualitative method. Data were collected by asking five students working on problems of proof using think aloud…

Amongst extensive research on thesis writing quality, few provide a detailed account of common writing challenges/errors as perceived by examiners vs. students. In this study, eight recent English theses marked-up by examiners and defended in Iranian universities were selected randomly among those thesis made available (n=45). Based on an…

The constructs of complexity, accuracy and fluency (CAF) have been used extensively to investigate learner performance on second language tasks. However, a serious concern is that the variables used to measure these constructs are sometimes used conventionally without any empirical justification. It is crucial for researchers to understand how…

The lexical mapping of abstract functional words like modal verbs is an open problem in acquisition (e.g., Gleitman et al. 2005). In diachronic linguistics it has been proposed that learner mapping errors are responsible for innovations in the historical record (see Kiparsky 1974; Roberts & Roussou 2003, among others). This suggests that child…

The study investigated teacher knowledge of error analysis in differential calculus. Two teachers were the sample of the study: one a subject specialist and the other a mathematics education specialist. Questionnaires and interviews were used for data collection. The findings of the study reflect that the teachers' knowledge of error analysis was…

This study designed and developed a Chinese character handwriting diagnosis and remedial instruction (CHDRI) system to improve Chinese as a foreign language (CFL) learners' ability to write Chinese characters. The CFL learners were given two tests based on the CHDRI system. One test focused on Chinese character handwriting to diagnose the CFL…

The purposes of this study were to (1) compare peer and self-video modeling in terms of effectiveness and efficiency in teaching first aid skills to children with intellectual disability and (2) analyze the error patterns made in probe sessions to determine whether the children who took the role of sufferers during the first aid skill sessions…