In a recent edition of "Mathematics Teaching" Midge Pasternack argued the case for the use of the 0-99 square with young children rather than the ubiquitous 1-100 square. In this article, the author would like to take the opportunity to mount a defence in favour of the much maligned 1-100 square. His main criticism of the 0-99 square (apart from…

An integral, either definite or improper, cannot always be computed by elementary methods, such as reversed usage of differentiation formulae. Graphical properties, in particular symmetries, can be useful to compute the integral, via an auxiliary computation. We present graded examples, then prove a general result. (Contains 4 figures.)

The method of least squares enables the determination of an estimate of the slope and intercept of a straight line relationship between two quantities or variables X and Y. Although a theoretical relationship may exist between X and Y of the form Y = mX + c, in practice experimental or measurement errors will occur, and the observed or measured…

One of the units of in a standard differential equations course is a discussion of the oscillatory motion of a spring and the associated material on forcing functions and resonance. During the presentation on practical resonance, the instructor may tell students that it is similar to when they take their siblings to the playground and help them on…

Magic squares have been of interest as a source of recreation for over 4,500 years. A magic square consists of a square array of n[squared] positive and distinct integers arranged so that the sum of any column, row, or main diagonal is the same. In particular, an array of consecutive integers from 1 to n[squared] forming an nxn magic square is…

Under conditions of constant temperature T and pressure P, chemical equilibrium occurs in a closed system (fixed mass) when the Gibbs free energy G of the reaction mixture is minimized. However, when chemical reactions occur under other conditions, other thermodynamic functions are minimized or maximized. For processes at constant T and volume V,…

Digital cameras are a piece of technology routinely used by students. To demonstrate the camera's use as a scientific instrument, the author developed an exercise to challenge students' scientific creativity and provide an experience in the scientific research process. Students designed and carried out experiments to determine the distance from…

In this article a new approach to calculate the return-on-investment (ROI) when introducing technology in education or training is introduced. After an identification of major aspects that are of significance when talking about traditional ROI an alternative method called Simplified ROI is introduced. The main function of Simplified ROI is less to…

Paired associates and serial list memory are typically investigated separately. An "isolation principle" (J. B. Caplan, 2005) was proposed to explain behavior in both paradigms by using a single model, in which serial list and paired associates memory differ only in how isolated pairs of items are from interference from other studied items. In…

An experiment which enables students to determine the index of refraction at various wavelengths is demonstrated by using two polymers examples, poly(dimethyl siloxane) (PDMS) and poly(methyl methacrylate) (PMMA). This experiment would be suitable for a course in organic chemistry or any course discussing the optical properties of polymeric…

Are salary and wage trends in public education keeping up or falling behind in the race with inflation? Are salary increases for central-office administrators and school building administrators keeping pace with increases received by classroom teachers and support personnel? How do overall salary and wage changes in one school system compare with…

This report summarizes a project to develop computational estimation materials for students in grades 6, 7, and 8. In chapter 1, the need for estimation skills is discussed and the goals of the project are stated: to develop a carefully sequenced set of lessons, activities, and maintenance work on estimation with whole numbers, fractions,…

Discusses various research findings aimed at helping teachers provide a classroom climate which leads students to develop better number sense. Focuses on number and symbol meaning, including number size, place value, and fractions, as well as computation and computational estimation. (MKR)

Examined the effects of intervention in the instruction of 12 male seventh-grade students for the purpose of developing number sense. Results indicate that after instruction students were more likely to use strategies to solve number magnitude, mental computation, and computational estimation problems that reflected number sense. (Contains 50…

Evaluation is an unavoidable feature in any teaching or learning scenario. The evaluation strategy of students differs widely throughout the world. Further, most of the institutes do not use any objective technique to assess the teaching performance of a teacher. The present paper defines performance metrics both for student and teacher evaluation…