This conceptual paper proposes a model to describe the quality of student dialogue during participative collaborative problem solving. Drawing on the participation metaphor of learning, we argue that the construct of mathematical sophistication is useful to describe the quality. We then present two frameworks, mathematical competencies and…

Because financial literacy is an important skill for middle-grades students, this article suggests numerous personal financial literacy tasks for use in the mathematics classroom. Also provided are specifics for implementing one of these tasks to address mathematical content.

This research explored the stimulation of mathematics understanding and learning in an Interactive Whiteboard (IWB) environment. IWB affordances appear to be best used when mathematical tasks engage students in mathematical reasoning and when all students are involved in the discussion. The intent of this project was to design and implement,…

We argue that the literature on critical thinking in sociology has conflated two different skill sets: critical sociological thinking and higher-level thinking. To begin to examine how sociologists weigh and cultivate these skill sets, we interviewed 20 sociology instructors and conducted a content analysis of 26 assignments. We found that while…

Long before the release of the Common Core State Standards (CCSSI 2010), the Mathematical Tug-of-War was engaging students in the type of reasoning and problem solving described by the Standards for Mathematical Practice (SMP). In this updated version of a Marilyn Burns task, students use algebraic reasoning to determine the outcome of a contest…

Since task-based learning was proposed in the field of second language acquisition in the 1980s, the popularity of this teaching approach has risen due to the effectiveness in enhancing learners' communicative competence. To complete tasks, learners have opportunities to use the target language in various situations so that they can transfer what…

We investigate the challenges students face in the transition from calculus courses, focusing on methods related to the analysis of real valued functions given in closed form, to more advanced courses on analysis where focus is on theoretical structure, including proof. We do so based on task design aiming for a number of generic potentials for…

The authors who are mathematics teacher educators, have found that classifying, composing, and transforming shapes (in particular, rotations and reflections) are areas of difficulty for adults as well as for children. However, these are also some of the most important geometric ideas. They are fundamental topics in the K-8 Geometry and Measurement…

Collaborative dialogue has been seen as an important aspect of L2 learning. However, the extent to which collaborative dialogue contributes to learning depends very much on the context in which it takes place. Informed by a sociocultural perspective of learning, this study investigated the nature of the collaborative dialogue between complete…

Given that words from the academic layer of English typically carry bound roots ("min" in "diminish") rather than free-standing base words ("small" in "smaller"), there is a need to understand the factors that make bound roots more or less accessible for morphological problem-solving unfamiliar words. We…

With the increasing recognition of the importance of developing intercultural competence in foreign language education, there is now much discussion amongst scholars and teachers as to how to move beyond fact-based approaches to teaching culture by promoting more interpretive and reflective learning within a critical frame. Whilst study abroad is…

Formative assessment in science has long been reported to support students' scientific understanding. It involves teachers gathering assessment evidence, interpreting it in the light of learning goals and providing feedback to bridge the gap between students' current state of understanding and the desired educational goals. This study examines how…

The reform of National College Entrance Examination in Zhejiang Province, China has aroused widespread attention since it was released in 2014. It is notable that new English writing test types were adopted in the English subtest. The continuation task and summary writing become a challenge as well as a promoter for English writing teaching and…

This article explores the perceived disconnect between informal and formal musical knowledge, through a focused case study which aligned students' informal knowledge with aspects of the formal curriculum. The upper high school or senior secondary student participants had a background in the creation and performance of popular and contemporary…

Student-centered instruction is a shared goal in English as a second or foreign language (ESL/EFL) settings that embrace communicative language teaching (CLT) principles (East 2015). Student-centered classrooms create opportunities for learners to have consistent and meaningful interactions--two-way exchanges of ideas--using their second language…