An account of peculiar light patterns produced by reflection in a pool under falling rain droplets was recently reported by Molesini and Vannoni (2008 Eur. J. Phys. 29 403-11). The mathematical approach, however, only covered the case of a symmetrical location of a light source and the observer's eyes with respect to the vertical of the falling…

This study examined friendship types in developmental trajectories of perceived closeness and balanced relatedness. In addition, differences between friendship types in the development of constructive problem solving and depression were examined. Questionnaire data of five annual waves were used from two adolescent cohorts (cohort 1: M = 12.41…

Within increasing pressure on young people to perform successfully in work, there is a growing concern regarding their levels of numeracy (and literacy). Whether such concerns are founded is the basis of this paper. This paper reports on the numeracy practices undertaken by three young boatbuilders who were nearing the completion of their 4-year…

Historically, calculus has displaced many algebraic methods for solving classical problems. This article illustrates an algebraic method for finding the zeros of polynomial functions that is closely related to Newton's method (devised in 1669, published in 1711), which is encountered in calculus. By exploring this problem, precalculus students…

How do we model and improve technical problem solving, such as network subnetting? This paper reports an experimental study that tested several hypotheses derived from Kolb's experiential learning cycle and Huber's problem solving model. As subjects solved a network subnetting problem, they mapped their mental processes according to Huber's…

Teaching children to ask and answer questions is critically important if they are to engage in reasoned argumentation, problem-solving and learning. This study describes how teachers can be taught to challenge children's cognitive and metacognitive thinking during cooperative learning and the affect this has on children's discourse and follow-up…

The teacher leaders and school administrators at Nipher Middle School in Kirkwood, Missouri, have recently embraced a new set of strategies for supporting learning for all students. During the weekly problem-solving conversations that are a part of their response-to-intervention model, it became evident that clusters of students with unique and…

This study investigates the effectiveness of computer-delivered hints in relation to problem-solving abilities in two alternative indirect instruction schemes. In one instruction scheme, hints are available to students immediately after they are given a new problem to solve as well as after they have completed the problem. In the other scheme,…

The authors examined the effectiveness of strategy instruction taught by general educators in mixed-ability classrooms. Specifically, the authors compared the mathematical word problem-solving performance and computational skills of students who received schema-based instruction (SBI) with students who received general strategy instruction (GSI).…

University of Chicago School Mathematics Project (UCSMP) Algebra is a one-year course covering three primary topics: (1) linear and quadratic expressions, sentences, and functions; (2) exponential expressions and functions; and (3) linear systems. Topics from geometry, probability, and statistics are integrated with the appropriate algebra.…

The practical work component offers unique challenges for university science courses. This is even more pertinent in an Open and Distance Learning (ODL) environment like the Bindura University of Science Education's Virtual and Open Distance Learning (VODL) programme. Effective ODL education should be flexible enough to accommodate science…

This mixed-methods study incorporated elements of survey, case study and action research approaches in investigating an at-risk child. Using an in-take interview, a diagnostic test, an error analysis, and a think-aloud clinical interview, the study identified the child's major presenting difficulties. These included: inability to use the four…

Using data for school improvement is a key goal of Race to the Top, and now is the time to make data-driven school improvement a priority. However, many educators are drowning in data. Boost your professional learning community's ability to translate data into action with this new book from Pam Robbins and Robert T. Hess. "The Data Toolkit"…

Following the completion of this century's first decade, educators, policymakers, and researchers are attempting to predict future needs. However, is it possible to know what the education and global landscape will look like at the end of this century? Certainly, in 1900 one could not have comprehended the myriad innovations that would occur by…

The purpose of this study is to examine the relationship of middle school students' perceptions of the ideal science student to their problem solving activity and conceptual understanding in the applied science area of robotics. Twenty-six 11 and 12 year-olds (22 boys) attending a summer camp for academically advanced students participated in the…