The interaction analysis presented by Kim and Roth examines nine students, their teachers, the learning task and materials in a mixed second and third grade science classroom during the school day. In the research narrative readers are introduced to two resourceful and creative groups of students as they work on a task assigned by their…

The existing literature indicates that interactive-engagement (IE) based general physics classes improve conceptual learning relative to more traditional lecture-oriented classrooms. Very little research, however, has examined quantitative problem-solving outcomes from IE based relative to traditional lecture-based physics classes. The present…

This article argues for a shift in how researchers discuss and examine students' uses and understandings of multiple representations within a calculus context. An extension of Zazkis, Dubinsky, and Dautermann's (1996) visualization/analysis framework to include contextual reasoning is proposed. Several examples that detail transitions between…

South Africa has opened up access to higher education over the past 20 years. The massive increase in enrolments (with almost 70% first-generation students) substantially affects progress and graduation rates in Science programmes in higher education. First-year students in Science realise that university mathematics requires knowledge and skills…

In this undergraduate analytical chemistry experiment, students quantitatively assess the antibacterial activity of essential oils found in thyme leaves ("Thymus vulgaris") in an authentic, research-like environment. This multi-week experiment aims to instill green chemistry principles as intrinsic to chemical problem solving. Students…

The Assessment and Teaching of 21st Century Skills (ATC21S™) project undertook a research and development plan that included conceptualization of 21st century skills and assessment task development. Conceptualization focused on the definition of 21st century skills. This article outlines the particular case of one of these skills, collaborative…

The "Wisdom of Crowds" hypothesis has been introduced into many fields, but not into education. Groups with diverse knowledge and skills make better decisions than homogenous groups or expert groups. Diversity adds different points of view, which improve the problem solving ability of the group. The increased use of social networks makes…

A problem-solving scaffold approach to synthesis was developed and implemented in two intervention sections of Chemistry 2211K (Organic Chemistry I) at Georgia Gwinnett College (GGC). A third section of Chemistry 2211K at GGC served as the control group for the experiment. Synthesis problems for chapter quizzes and the final examination were…

The article opens with a Geoboard Triangle Quest in this form: "How many noncongruent triangles can be constructed on a 4 × 4 geoboard? How do you know? Justify your answer with significant supporting work." The use of advanced digital technologies as tools for problem solving receives much attention in the methods classes if the…

The purpose of the study was to determine whether there was any significant difference in speed, accuracy, retention and transferability between the Decomposition (DEC) and the Base-Complement Additions (BCA) algorithms for performing compound subtraction in non-decimal bases. Fifty-nine students with a mean age of approximately 15 years from two…

This mixed methods study explored the pre and post use of metacognitive problem solving skills of 15 undergraduate students enrolled in a mathematics class in a Midwestern university. Participants' progress in their metacognitive self-talk and group-talk was monitored as they used Pulse® Smartpens to simultaneously capture their writing and spoken…

As our society has become increasingly data dependent, statistics education has emerged as a field of study. Research has focused on statistics course content outcomes, showing most students struggle with statistical concepts, including variation and the standard deviation. Variation is a foundational concept in statistics. Without a firm grasp of…

With online education comes large amounts of data that can reveal in ways able to be examined quantitatively only sparingly in the past, the physics problem-solving profiles of students. This project uses fundamental research to analyze physics problem-solving behavior of students enrolled in the Massive Open Online Course 8.MReVx offered on the…

This study examined how a child constructed a scheme (abbreviated QRE) for producing mathematical equivalence via operations on composite units between two multiplicative situations consisting of singletons and composite units. Within the context of a teaching experiment, the work of one child, Joe, was analyzed over the course of 14 teaching…

Based on the findings of a larger study on middle school students' problem solving behaviors, we identified three sub-components for understanding the iteration of unit area in this paper: the mechanism of iteration, an identical unit, and the specificity of the identical unit. A three-stage progression on the acquisition of these components is…