Several ways for solving inequalities have been suggested in the literature, among them graphical, verbal and algebraic solutions. A new look at solving inequalities via use of the intermediate value theorem is presented here, and this method may prove to be straightforward for many students.

In this note, the author considers a class of infinite series and shows that these are equivalent to a number of definite integrals, some of which are improper integrals. By using Taylor's theorem in this equivalence the author establishes convergence of each series, and a means of evaluating the sum of the series and the definite integral to any…

Solving problems often means trying out ideas one knows about which might lead down blind alleys. In this article, the author provides a solution to the following simple mathematical problem: Suppose you have four points which are on the four sides of a square, how do you construct the square? He says that the obvious place to tackle it is to use…

This article describes the connection between a novel puzzle and uses of algebra to generalize the fewest moves to solve it.

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph.

An explicit formula is established for the general solution of the homogeneous non-autonomous linear difference equation. The formula developed is then used to characterize globally periodic linear difference equations with constant coefficients.

Critical approaches to HRD do not focus solely on improving organizational performance; instead, they address previously undiscussable issues such as power, politics, class, sexism, racism, and heterosexism. Since critical HRD often seeks to raise problems instead of solve them immediately, it is sometimes criticized for being elitist and detached…

In this article, the authors highlight the potential for rethinking approaches to community and social change interventions that draw on participatory action research at the organizational and community level. They distinguish problem-centric from opportunity-centric approaches to social change. Theory on social norms suggests that problem-centric…

The connection between linear and 0-1 integer linear formulations has attracted the attention of many researchers. The main reason triggering this interest has been an availability of efficient computer programs for solving pure linear problems including the transportation problem. Also the optimality of linear problems is easily verifiable…

PreCalculus students can use the Completing the Square Method to solve quadratic equations without the need to memorize the quadratic formula since this method naturally leads them to that formula. Calculus students, when studying integration, use various standard methods to compute integrals depending on the type of function to be integrated.…

The basic purpose of shaping college students' and upper-grade school students' critical thinking, as well as that of adults who do not have established skills of thinking creatively, is to expand their thinking competences in order to deal effectively with social, scientific, and practical problems. In the process of teaching uppergrade students,…

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.

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…