Environmental identity, or how we orient ourselves to the natural world, leads us to personalise abstract global issues and take action (or not) according to our sense of who we are. For example, are we willing to give up our luxurious cars for more fuel-efficient models even though we know that the earth is warming? In an era where web-based…

The excerpts from The Periodic Table book written by Primo Levi is discussed related to chemical concepts. The use of a literary text as a starting point of discussions of chemical concepts has allowed the integration of various topics covered in separate courses of the undergraduate program in chemistry.

A survey of undergraduate students examined how students' beliefs about their problem-solving styles and abilities (including avoidant style, confidence, and personal control in problem-solving) influenced their perception and selection of sources, as reflected in (1) perceived characteristics of sources, (2) source characteristics considered…

This article describes the history, evidence warrants, and evolution of the Center for Research on Evaluation, Standards, and Student Testing's (CRESST) model-based assessments. It considers alternative interpretations of scientific or practical models and illustrates how model-based assessment addresses both definitions. The components of the…

This article describes an alternate way to utilize a circular model to represent thirds by incorporating areas of circular segments, trigonometric functions, and geometric transformations. This method is appropriate for students studying geometry and trigonometry at the high shool level. This task provides valuable learning experiences that…

Many innovative approaches to education such as problem-based learning (PBL) and inquiry learning (IL) situate learning in problem-solving or investigations of complex phenomena. Kirschner, Sweller, and Clark (2006) grouped these approaches together with unguided discovery learning. However, the problem with their line of argument is that IL and…

"Dimensions of possible variation" is a phrase that now occupies a safe place in the literature describing the application of education theory to education practice: "asking yourself what could be changed [in the task], while using the same approach or technique, opens up dimensions of possible variation. A set of exercises forming a sequence of…

In this article, the author relates some problem solving work with primary schools to Department for Children, Schools, and Families (DfES) support. In four primary schools in the West Midlands, the focus was teaching mathematics through problem solving, based on materials published on the DfES "standards" website. The author noticed…

There have been calls for at least 30 years in American education for a return to basics in mathematics instruction. The problem lies in defining what is basic. Mathematics is more than arithmetic. It is a fabric of ideas, relationships, principles and procedures. But all too often the emphasis in classroom instruction is on static facts and…

Formerly, the "prisoners" problem was used by the author in his teaching chiefly as a process activity, with the intention of promoting certain investigative techniques: the idea of starting with a smaller problem (say, 10 prisoners, guards and cells, rather 100), and the importance of finding an effective method for displaying what was going on.…

The Pythagorean Theorem, arguably one of the best-known results in mathematics, states that a triangle is a right triangle if and only if the sum of the squares of the lengths of two of its sides equals the square of the length of its third side. Closely associated with the Pythagorean Theorem is the concept of Pythagorean triples. A "Pythagorean…

The use of student assessment data is a key component of a model of instructional coaching, Student-Focused Coaching (Hasbrouck & Denton, 2005), designed to support student achievement by engaging reading teachers in a collaborative problem-solving process to modify instructional strategies with the goal of enhanced student outcomes. In this…

The current profile of action learning in the UK has recently become clearer (Pedler et al., 2005). Using the template of what have been described as "Revans's Classical Principles", fundamental divergences have begun to emerge. Pedler et al. (2005) identified a number of variances from this template--specifically the use of permanent…

This paper describes ongoing research investigating student approaches to quantitative and qualitative problem solving in physics. This empirical study was conducted using a phenomenographic approach to analyze data from individual semistructured problem solving interviews with 22 introductory college physics students. The main result of the study…

Problem: The study sought to determine the common set of conditions and processes necessary to improve the performance of problem-solving teams beyond the abilities of individuals. Research Hypotheses: (H1) Controlling for differences in ability, the team scores of heterogeneous teams are significantly lower than team scores of homogeneous teams.…