Several decades ago, V. A. Krutetskii conducted a multiyear study to investigate the various types of thinking that academically advanced, or as he called them, gifted mathematicians used. Following an in-depth look at Krutetskii's nine ways of thinking, a model is proposed that will provide direction for teachers in selecting problems. The model…

This article investigates the effects of language anxiety on course achievement in three foreign language proficiency levels of Spanish, namely, beginner, intermediate, and advanced. Participants completed the Foreign Language Classroom Anxiety Scale (Horwitz, Horwitz, & Cope, 1986) and a background questionnaire. Results showed that language…

In recent years, idioms have received overwhelming attention in language pedagogy. Experts in the field have sought ways to optimize learning and teaching of these prefabricated language chunks. It is now maintained that the meaning of idioms which was once deemed as arbitrary is somehow "motivated" by their literal, original usage.…

The article discusses the results of a longitudinal study of how the use of conjunctions, as an aspect of spoken discourse competence of 13 selected advanced students of English, developed throughout their 3-year English as a foreign language (EFL) tertiary education. The analysis was carried out in relation to a number of variables, including 2…

High-stakes assessments have encouraged educators to ignore the needs of the top performers. Therefore, the Oakwood School District decided to implement a mathematics pilot enrichment program in order to meet the needs of the advanced mathematics students. As a result, this study used quantitative data to determine if there was a significant…

Purpose: This paper aims to provide a methodological road for the next generation of e-learning environments. Design/methodology/approach: This paper considers a survey of recent publications (1995-2002), which aim to provide practical and theoretical indications and advice, which are coupled with practical experimentations. Findings: The paper…

Situated within the framework of the systemic-functional linguistics (Halliday, 1994) and language-based theory of learning (Halliday, 1993), this article examines a shift toward a more objectified and "scientific" representation of reality in texts written by foreign language (FL) learners at various levels of acquisition. It argues that…

It is generally assumed that second language (L2) learners find it difficult to self-assess their pronunciation skills. In view of the benefits of self-assessment for the language learning process and the need to monitor one's pronunciation in independent learning environments, we investigated the reliability of self-assessments of pronunciation…

This article presents an investigation carried out with a group of able mathematics students who were studying at a level 1 year in advance of their peers. The purpose was to investigate the extension of usual three peg Towers of Hanoi to four pegs and attempt to find a rule that could be used to predict the minimum number of moves required to…

This article presents an empirical study that investigates the role of vocabulary knowledge in listening comprehension with 115 advanced Danish learners of English as a foreign language (EFL). The dimensions of depth and breadth of vocabulary knowledge (measured by the Vocabulary Levels Test and the Word Associates Test) were found to be…

This article reports on the implementation of diagnostic assessment in an advanced Spanish language program at the university level. Particular attention is given to the use of dynamic assessment practices as a way to assess language abilities, intervene in learning, and document learners' growth. Dynamic assessment is conceptually based on…

The paper presents preliminary findings of a project which investigated whether learner background, in terms of instruction mode (i.e., school or intensive first-year course at university) and first language (i.e., character based or non-character based), has an impact on the development of writing skills in Japanese as a second language (JSL).…

This article gives an example of how student-conducted experiments can enhance a course in the design of experiments. We focus on a project whose aim is to find a good mixture of water, soap and glycerin for making soap bubbles. This project is relatively straightforward to implement and understand. At its most basic level the project introduces…

Despite the fact that American Sign Language (ASL) courses at the college-level have been increasing in frequency, little is understood about the capabilities of hearing individuals learning a sign language as a second language. This study aims to begin assessing the language skills of advanced L2 learners of ASL by comparing L2 signer productions…

This article investigates the ways in which learners' perception of themselves as second language (L2) speakers evolved over a 12-week period. Thirty-two students of the advanced French stream in a tertiary institution participated in this semester-long study. Students self-assessed their speaking skills and their level of participation in French…