The "National Standards for Physical Education" (National Association for Sport and Physical Education [NASPE], 2004) provides, at each grade level, sample performance outcomes that identify students' progress toward achieving each standard. Many of the performance outcomes indicated for standard one identify movement competency in gymnastics as a…

Given the number of factors involved in bullying, the range of explanatory theory upon which one might draw is vast. Not only might one consider factors within the family, the individual, the peer group, the school and the community, but each of these could be considered from a number of different perspectives. This paper explores the issues for…

This article presents a hands-on experiment that covers many areas of high school mathematics. Included are the notions of patterns, proof, triangular numbers and various aspects of problem solving. The problem involves the arrangements of a school of fish using split peas or buttons to represent the fish. (Contains 4 figures.)

This paper examines some of the ways gifted students are said to be different from non-gifted students by comparing the responses of 475, 9-year-old "gifted" students with those of 230 average-attaining 13-year-old students on the same mathematical problem-solving questions. The questions were specifically written for mathematically…

A complex technology-based problem in visualization and computation for students in calculus is presented. Strategies are shown for its solution and the opportunities for students to put together sequences of concepts and skills to build for success are highlighted. The problem itself involves placing an object under water in order to actually see…

This research investigated how fourth and fifth grade students spontaneously "unpacked" a word problem when generating a graphic representation to aid in problem solution. Relationships among the type of graphic representation produced, spatial visualization, drawing ability, gender, and problem solving also were examined and described.…

We solve two problems that arise when constructing picture frames using only a table saw. First, to cut a cove running the length of a board (given the width of the cove and the angle the cove makes with the face of the board) we calculate the height of the blade and the angle the board should be turned as it is passed over the blade. Second, to…

The purpose of this article is to describe a player-centered approach (PCA), highlighting its qualities, and then to provide examples of its application in coaching and teaching sport. Most of the examples relate to the game of volleyball, but many of the recommendations and examples can be applied to most team sports. The article will conclude…

The effectiveness of problem solving as a learning tool is often diminished because students typically use only an algorithmic approach to get to the answer. We discuss a way of encouraging students to reflect on the solution to their problem by requiring them--after they have arrived at their solution--to draw solution maps. A solution map…

Improving students' problem-solving skills is a major goal for most science educators. While a large body of research on problem solving exists, assessment of meaningful problem solving is very difficult, particularly for courses with large numbers of students in which one-on-one interactions are not feasible. We have used a suite of software…

In this article, we consider some generalizations of Fibonacci numbers. We consider k-Fibonacci numbers (that follow the recurrence rule F[subscript k,n + 2] = kF[subscript k,n + 1] + F[subscript k,n]), the (k, l)-Fibonacci numbers (that follow the recurrence rule F[subscript k,n + 2] = kF[subscript k,n + 1] + lF[subscript k,n]), and the Fibonacci…

Taking medication requires developing plans to accomplish the activity. This planning challenges older adults because of age-related cognitive limits and inadequate collaboration with health providers. The authors investigated whether an external aid ("medtable") supports collaborative planning in the context of a simulated patient/provider task…

Using fictional stories with adults in group and individual counseling sessions facilitates exploration of difficult topics in a safe and nonthreatening way. These stories deepen awareness and increase problem solving skills. This article describes how fictional stories can be used by counselors with adult clients. It also illustrates strategies…

Although literature is available on the theoretical models of consultation underpinning service delivery in educational psychology services, little research has been published on the application of these models to educational psychologist (EP) consultation practice with teachers in schools. This study explores the espoused theory of consultations…

A historical discussion of the theories which deal with the formation of real images in mirrors and lenses is presented in this paper. Speculations on mirrors appeared as early as Plato. Euclid's, Hero's and Ptolemy's approaches to visual rays are described. The theory on burning mirrors starts with Diocles and later was continued by the Arabs. Al…