The aim of this paper is to present and discuss some of the evidence regarding the resources that students use when they establish relationships between a contextual situation and an ordinary differential equation (ODE). We present research results obtained from work by seven students in a graduate level course in mathematics education, where they…

Teachers across all grade levels agree that problem solving and reasoning are areas of weakness in students. Assessments among U.S. students indicate that these weaknesses persist (NCTM 2014) in spite of repeated calls that date back more than thirty years for increased problem solving, reasoning, and sense making in our schools. The NCTM is…

Against the backdrop of mentor teachers' reasoning about practice, we seek to understand shifts in intern teachers' reasoning about practice during a year in which they take their final methods course in the fall and then do intern teaching in the spring. The data we analyze consist of intern and mentor teacher study group discussions of repeated…

This study explores the "language repair strategies" (aimed at repairing communication problems) of two bilingual speakers during mathematics word problem tutoring sessions. Bilingual repair was shown to gradually shift from a linguistic to an epistemic focus during problem solving (i.e., communication became more conceptually focused…

According to Swain, Kinnear, & Steinman (2011), we use a language with others as a form of shared cognition, and in the process we scaffold each other. This action research investigates how students' online written output affects each other's writing. One thousand twenty online entries written by 21 Japanese university sophomore English majors…

Nursing programs have embraced distance learning in their curricula, but discussion is ongoing about course assignments and grading criteria to increase examination scores in nursing distance learning courses. Because course examinations are a predictor of success on the postgraduate licensing examination (NCLEX-RN), the purpose of this study was…

The purpose of this study was to better understand the process of engaging in critical literacy practices with kindergarteners. The researcher spent six months in a kindergarten classroom taking extensive field notes on the ways in which the teacher and students explored issues of social justice through literacy activities. Data analysis using a…

Background: This article reports on an analysis of errors that were displayed by students who studied mathematics in Chemical Engineering in derivatives of mostly trigonometric functions. The poor performance of these students triggered this study. The researcher (lecturer) works in a mathematics support programme to enhance students'…

Collaboration is inherently part of many dance pedagogies, dance practices, and dance careers, which is why dance students are frequently required to work and learn together in the dance studio and classroom. Outside of dance, in a variety of disciplines, the ability to collaborate is prized as a highly valuable competency, and the facility to…

In this article, the authors illustrates techniques for integrating diverse learners in shared mathematical contexts while providing differentiated support or challenge, as necessary. The techniques described were developed for a curriculum project entitled Learning Mathematics through Representations (LMR). A premise of LMR is that students'…

Despite many recent developments in technology, there are still many people who are not fully utilizing advanced technologies to enhance learning. This issue has an impact on K-12 schools as well as higher education and makes a case for the development of better distance education programs, which can assist students in studying more effectively…

Problem-based learning (PBL) is regarded as an effective learning strategy to enhance cognition not only in traditional learning but also in e-learning. In e-learning settings, blogs and micro-blogs can plausibly provide a platform to conduct PBL. Recently, most studies on blogs and micro-blogs have respectively probed satisfaction and learning…

Many teachers have designed lessons for students who will be working in groups to discuss and solve a problem. After investing time in constructing an interesting problem, creating strategically designed groups, and introducing the problem carefully, teachers may be left wondering how to help students collaborate to make sense of mathematical…

Universities in Europe face a variety of reform initiatives, and university reform can be seen as a wicked problem that should be resolved through collaborative efforts. In Finland, there has been considerable resistance to proposed reforms, with university personnel complaining that they have not been heard. Students, on the other hand, seem…

This study explored what instructors can do to improve student depth of thinking in online discussion boards (DBs). Participants were graduate students enrolled in online courses within a college of education in the southwest United States. Measurement consisted of discourse analysis of posts in DBs and student self-assessment of dispositions,…