Traditionally, students learn arithmetic throughout their primary schooling, and this is seen as the ideal preparation for the learning of algebra in the junior secondary school. The four operations are taught and rehearsed in the early years and from this, it is assumed, "children will induce the fundamental structure of arithmetic" (Warren &…

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…

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 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…

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,…

Recently we were presented with an interesting twist to the sliding ladder problem viewed in the related rates section of most calculus textbooks. Our problem concerning a sliding ladder that eventually hits the ground. At first, those attempting this problem fell into the calculus trap using only related rates. Previous work for this problem…

In 1945, Bronislaw Knaster proposed a procedure to divide any number of indivisible goods between a finite number of players requiring the players to place monetary values or bids on all of the goods. Often discussed in math for liberal arts courses that concentrate on contemporary applications of mathematics for non-major students, Knaster's…

Every day nurses make practice decisions that are based on knowledge drawn from personal, cultural, and scientific sources. Nurses therefore practice from a particular perspective that involves culturally based personal, professional, and societal beliefs and values. Their practice, however, may involve clients whose beliefs and values are…

Screening and prereferral are not required by the Individuals with Disabilities Education Act; however, many educators recognize that implementation of prereferral interventions is a measure of best practices. The authors address the need to establish a family-centered approach within the prereferral process in order to promote early and…

This article describes a unique supplementary program that teaches early childhood mathematics (Pre-K to Grade 2), through a series of six problem-solving adventure stories. The mathematics concepts are taught to the children through the medium of oral storytelling sagas in an integrated approach that addresses language arts as well as early…