In this paper we consider how mathematics instruction that values, attends to, and builds on students' mathematical ideas is realized through discourse. We describe interactions that build on students' thinking and in which students help to determine the direction of mathematics lessons as responsive. Using a framework we developed to characterize…

In this study, we examine explicit information and aptitude within processing instruction. Forty-six learners of German in their third semester of study were divided into two groups: those who received explicit information prior to treatment (+EI) and those who did not (-EI). Participants also took the grammatical sensitivity portion of the Modern…

University admissions tests should predict an applicant's ability to succeed in college, but how should this success be defined and measured? The status quo has been to use 1st-year grade point average (FYGPA) as the key indicator of college success, but a review of documents such as university mission statements reveals that universities expect…

This study describes the massive open online course (MOOC) experiences of three educational technology scholars assuming the roles of learners. Adapting Carroll's model of school learning as a theoretical framework, the study employed an autoethnography method to collect empirical data in three different MOOCs. Data analysis from regularly…

Students often exhibit overconfidence and self-attribution bias (SAB). The authors report the findings of a survey of management students across gender. They found why students fail to understand the fact that their performance was actually dismal while their belief about their ability to perform well was high. The results imply that all students…

This study assessed the relationships among the accuracy of grade predictions, actual grades, self-enhancement bias, and attributions about academic performance. As a group, students anticipated higher grades than were earned. Individual differences in self-enhancement bias were measured using the discrepancy between anticipated and attained…

Deliberate practice is important in many areas of learning, including that of learning to program computers. However, beliefs about the nature of personal traits, known as "mindsets," can have a profound impact on such practice. Previous research has shown that those with a "fixed mindset" believe their traits cannot change;…

Research findings have established that students often struggle with mathematical symbols including common misconceptions for literal symbolic representations of variables but provide little evidence of when or how these misconceptions arise. This article reports findings from a study of grade 4-6 students' conception(s) for various…

Mathematical disposition could influence learning and performance, they usually determine how well students motivate themselves and persevere in the face of difficulties, and they influence the choices-making about coursework, and even educational and career paths. The aim of this study is to investigate the same students' mathematical disposition…

This study examines whether scores from an interim reading assessment in grade 9, the Florida Assessments for Instruction in Reading--Florida Standards, can be used to identify students who may score below the college readiness benchmark on the Preliminary SAT/National Merit Scholarship Qualifying Test and ACT Plan in grade 10. Using scores on an…

Within the input and interaction research paradigm, how learners' individual differences play a role in using learning opportunities during interaction has become one of the main areas of investigation. Recasts have also received much attention in interaction research. This paper explores the extent to which individual differences in grammatical…

The present study investigates the interaction between two types of explicit instructional approaches, deduction and explicit-induction, and the level of foreign language aptitude in the learning of grammar rules. Results indicate that on the whole the two equally explicit instructional approaches did not differentially affect learning…

In this article, we report the results of a study on the relationship between individual differences in language learning aptitude and the structural connectivity of language pathways in the adult brain, the first of its kind. We measured four components of language aptitude ("vocabulary learning"; "sound recognition"; "sound-symbol…

The purpose of this study was to examine the story behind one young deaf child who demonstrated exceptional early mathematical competence and the individual and family characteristics that might have contributed to his success. As an outlier, this child achieved a score on a test of early mathematical ability that was two standard deviations…

The traditional transmission-based school curriculum in South Africa has been replaced by an outcomes-based school curriculum since 1998. In this article we report on a comparative study on the mathematical knowledge and skills of two cohorts of first-year students: the last cohort to be exposed to a transmission curriculum in Grades 10-12 and the…