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 &…

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…

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 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,…

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…

Pupils' motivation and interest are identified as important influences on learning. Motivational orientation is a construct that links motivation and epistemology. This study attempted to explore motivational orientation as it relates to science education and two different instructional approaches. A published instrument standardized with a…

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…

Mathematical problem solving is a transfer challenge requiring children to develop schemas for recognizing novel problems as belonging to familiar problem types for which they know solutions. Schema-based transfer instruction (SBTI) explicitly teaches transfer features that change problems in superficial ways to make them appear novel even though…

College students were exposed to two pairs of mathematics assignments. Assignment Pair A included a high-effort assignment containing 18 long three-digit ? two-digit (3?2) multiplication problems with all numerals in each problem being equal to or greater than four and a moderate-effort assignment that contained nine long problems and nine…

The purpose of the present article is to give an account of the emergence of knowledge pertaining to the transition from arithmetic to algebra in the course of a debate in a grade 7 classroom. This debate follows two other instances of work: (1) the adidactic interaction between each student and a given problem, (2) the adidactic interaction of…