This study was conducted to reveal how students at university level justify their solutions to tasks with various degrees of difficulty. The study is part of a larger study of students' concept formation of limits. The mathematical area is limits of functions. The study was carried out at a Swedish university at the first level of mathematics. The…

Burleson and Goldsmith's (1998) comforting model suggests an appraisal-based mechanism through which comforting messages can bring about a positive change in emotional states. This study is a first empirical test of three causal linkages implied by the appraisal-based comforting model. Participants (N=258) talked about an upsetting event with a…

Constructivism is the philosophy that has been cited most frequently in the past 20 years in education. It has been argued that a constructivist philosophy offers a means of education that would result in knowledge generation and creation; therefore, it is superior to other views. Making the shift toward a constructivist philosophy, however,…

Babies are active participants in their learning and need to explore a variety of objects. Nurturing relationships support these explorations. Objects are more clearly remembered and understood. Thus, one activity this article suggests doing with a 12-month-old to encourage abstract thinking, is talking about how squeezing the bottle of ketchup…

What happens when children pour water through a funnel? They begin to understand science and math concepts such as flow, force, gravity, and volume. What happens when children mold sand to create a tunnel? They develop skills in areas such as problem solving and predicting. They also gain knowledge about absorption and the properties of sand and…

In traditional science teaching, teachers expect the average student to implicitly learn and apply subtle concepts and to connect seemingly disjointed information. Teachers expect them to actively assemble the building blocks of critical thinking, often without example (Meyers 1986). The critical analysis of issues and problems is second nature to…

The activity developed in an integrated high school course that was team-taught by both mathematics and science teachers examines linear equations developed from relationships in biology. These equations provide students with opportunities to see the way mathematics could be used to describe biological relationships, and then apply to solve…

Brain research opens new frontiers in working with children and youth experiencing conflict in school and community. Blending this knowledge with resilience science offers a roadmap for reclaiming those identified as "at risk." This article applies findings from resilience research and recent brain research to identify strategies for reaching…

This study describes the use of generalizability theory (GT) and many-facet Rasch measurement (MFRM) to evaluate psychometric properties of responses obtained from an assessment designed to measure complex problem-solving skills. The assessment revolved around the school activity of kickball. The task required of each student was to decide on a…

Recently, the importance of an everyday context in physics learning, teaching, and problem-solving has been emphasized. However, do students or physics educators really want to learn or teach physics problem-solving in an everyday context? Are there not any obstructive factors to be considered in solving the everyday context physics problems? To…

This study was an attempt to identify the epistemological roots of knowledge when students carry out hands-on experiments in physics. We found that, within the context of designing a solution to a stated problem, subjects constructed and ran thought experiments intertwined within the processes of conducting physical experiments. We show that the…

This article explores the moral imperative for teaching multiculturalism from a classically pragmatic point of view. Through an examination of the principles of classical pragmatism, embodied in the work of John Dewey, this analysis suggests that approaching multiculturalism from a pragmatic perspective lends a necessary moral foundation for the…

Describes an art project used with eleventh- and twelfth-grade students in which they created plaster self-portraits inspired by the work of George Segal. Includes directions for the casting and lists the art materials needed for the lesson. Explains that the project requires half a semester to complete. (CMK)

When a professional engineer solves a mathematical problem using technology, he/she generally uses a single one-step "high-level" command of a readily available computer package to obtain the solution immediately. This should not happen during his/her learning cursus. In an engineering mathematics course, the educator should decompose the solution…

The United States Military Academy (USMA) has a four course core mathematics curriculum that is studied by all students. The third course is MA205, Calculus II; a multivariate calculus course filled with practical applications. During a Problem Solving Lab (PSL), students participated in a hands-on exercise with multiple vector operations,…