In this article, the author describes a 200-year-old ladder problem that can carry learners to high levels of mathematical thinking and activity. This problem requires learners to go from a word problem to an equation to a graph and from there to a solution. As this problem of specifics is turned into a problem using variables, technology,…

For the last four years, Soenderholm School, near the town of Aalborg, Northjutland, Denmark, has had an optional subject in the seventh grade called First "Lego" League (FLL). FLL is an international contest which aims to advance pupils' scientific interest. The task is for participants to build and program a "Lego" robot able…

A Multi-Scaffolding Environment (MSE) is a multimedia environment reliant on authentic scaffolding. We examine the impact of the availability of multiple scaffolds on learning and cognitive load within an MSE where learners are assigned a real-world task and given access to four support tools to help them complete the task. By examining an MSE in…

A major preoccupation in assessment is connecting examinees' performance in assessment and nonassessment contexts. This preoccupation has traditionally been framed in terms of generalizability. This article reconceptualizes this problem from a qualitatively different perspective on human abilities and their development, namely, the Sociocultural…

This study is grounded in the theoretical position that solving problems in different ways creates mathematical connections when learning and teaching mathematics. It acknowledges the central role teachers play in providing students with learning opportunities, and it is based on the empirical finding that mathematics teachers are reluctant to…

An important result of physics education research is that students' learning and success in a course is correlated with their beliefs, attitudes, and expectations regarding physics. However, it is hard to assess these beliefs for individual students, and traditional survey instruments such as the Maryland Physics Expectations Survey (MPEX) are…

The concept of a function is fundamental to virtually every aspect of mathematics and every branch of quantitative science. Presently this type of thinking is carolled at the secondary level, and yet it has many benefits for deepening the understanding of early arithmetic. This is particularly so in the way that operations can be considered as…

The idea of problem posing is not new, but it has received increased attention in light of new approaches to mathematics education. Mathematical problem posing builds on young children's natural curiosity. It promotes children's "engagement in authentic mathematical activity"; enables children to "encounter many problems, methods, and solutions…

In this article, the authors discuss how Google Earth provides more than a geography lesson. For starters, Google Earth is perfect for teaching geography. Subscribe to Where in the World, for example, and have their students listen to podcast clues in a find-the-location game created by students worldwide. Clues relate to math (the population of…

Demand is placed on students in a variety of ways and, in some cases, affects whether or not a student engages in problem behavior. The authors' purpose in this study was to investigate the variables that influence demand and examine how changes in those variables affected a child's behavior. The authors used parametric design in which the…

To extend children's understandings about economic disadvantage, some early primary teachers choose a critical literacy curriculum. In such a curriculum, teachers often introduce realistic children's literature to foster sustained and meaningful conversations with children about issues affecting the society. This article looks at four first-person…

In this study we measured changes in science teachers' conceptual science understanding (content knowledge) and pedagogical content knowledge (PCK) while participating in a problem-based learning (PBL) model of professional development. Teachers participated in a two-week long workshop followed by nine monthly meetings during one academic year…

One of the primary course delivery techniques has been the See-Hear-Do model. Under this system, the professor goes through the material and prepares a lecture for the class. The material is then presented to the students, typically using PowerPoint or some other visual graphics. The students are then asked to engage in some exercises, either in…

It is a challenge for children with autism spectrum disorder (ASD) to integrate language, social understanding, and emotional intent of messages to understand their social world. They often have deficits in language and social cognition and difficulty interpreting and labeling emotions and incorporating or integrating each of these aspects of…

According to even the most conservative estimates, at least a quarter of deaf children have additional disabilities. Most teacher preparation programs do not sufficiently prepare teacher candidates for the challenges posed by these children. This article describes a professional development effort to prepare in-service educators of the deaf to…