This study investigated whether clustering can identify different groups of students enrolled in a massive open online course (MOOC). This study applied self-organizing map and hierarchical clustering algorithms to the log files of a physics MOOC capturing how students solved weekly homework and quiz problems to identify clusters of students…

The authors of various practitioner and scholarly documents suggest markedly contrasting understandings about the nature of "policy." These divergent conceptions raise the question: What is at stake by understanding the nature of policy in one way as opposed to another? The purpose of this philosophical inquiry is to interrogate the…

This article describes a lesson rooted in "tinkering," an approach to learning that encourages the use of authentic, hands-on experience to develop an understanding of content and physical materials. There were several desired outcomes for this lesson. First, the authors felt that tinkering was an appropriate approach to investigating…

This paper dealt with the design of learning tools, that was the development of learning implementation plan or Rencana Pelaksanaan Pembelajaran (RPP) based on Fun and Easy Math (FEM) approach in the form of a number line model. FEM was an approach in order to teach mathematics effectively to students in a fun and easy way according to the…

In this study, we specify teacher's knowledge and beliefs that influence their enactment of mathematics tasks. The use of tasks in lessons requires teachers to consider students' mathematical thinking and to know how to effectively implement tasks. Among the many aspects of teachers' understanding of students and ability to implement tasks for…

Wooden planks are a tool for developing youth skills through science, technology, engineering, and math exploration. These are small planks that can be stacked to create complex structures as youths explore math and physical relationships in an applied context. Building with wooden planks also cultivates planning, reasoning, and team skills as…

Background: Students commonly struggle with mathematics and mathematical problem-solving. Therefore, it is necessary to design and implement interventions aimed at improving these essential components of learning. Furthermore, the outcomes of these interventions can vary significantly and appear to be a function of a student's initial competencies…

The purpose of this literature review is to define verbal protocols and explore how two methodological tools -- think-alouds and stimulated recall -- may apply to research in music education practices. Pinpointing the inner workings of these processes may extend the ongoing work within music education and further support how novice music teachers…

Teachers put a great deal of energy into searching for ways to engage each and every student. Some of these efforts fail. Others look promising one day, only to become less effective as the novelty wears off. Teachers want their students to feel ownership of their learning. They also believes that students engage more when learning mathematics…

The coordination of multiple external representations is important for learning, but yet a difficult task for students, requiring instructional support. The subject in this study covers a typical relation in physics between abstract mathematical equations (definitions of divergence and curl) and a visual representation (vector field plot). To…

Concerns have been expressed that although learners may solve linear equations correctly they cannot draw on mathematically valid resources to explain their solutions or use their strategies in unfamiliar situations. This article provides a detailed qualitative analysis of the thinking of 15 Grade 8 and Grade 9 learners as they talk about their…

Perhaps as a toddler, your high-potential child was constantly engaged in her surroundings, absorbing information and making unexpected and exciting connections. When she reached school age, she was likely excited to spend all day, every day learning. Then, reality hit. Teachers spent the entire day teaching other students to stand safely in line,…

Positioned within our field's work on supporting transfer of writing-related knowledge through careful course design, this article describes the development of a pedagogical intervention designed to help students identify knowledge gaps and pose questions about rhetoric and genre. Below, I tell the story of a 2012 teacher research study that…

Example-based learning (i.e., studying examples to learn a problem-solution procedure, often alternated with solving practice problems) leads to better learning outcomes than solving practice problems only, and video examples are increasingly being used in online and blended learning environments. Recent findings show that the presentation order…

Beliefs and pedagogical content knowledge (PCK) are two factors influencing teaching practice in the classroom. This research aims to describe the beliefs and PCK of the prospective mathematics teachers and the relationship between the two factors on the teaching practices in the mathematics classroom. Participant in this research includes a…