We present a computer-based experiment that simulates the accretion process and generates fluffy aggregates with fractal nature. The Box Counting is performed without the aid of an image processing tool by using the coordinate information of the constituents of the aggregate. A simple algorithm to create aggregate and calculate box-dimension will…

Fractals are geometric objects used to describe irregular shapes that have a fractional dimension and commonly appear in nature. Although several proposals for the study of perfect fractals at the basic level are present in the literature, only few proposals for the study of real fractals exist, which does not seem reasonable considering the…

The greatest difficulty that is encountered by students in thermodynamics classes is to find relationships between variables and to solve a total differential equation that relates one thermodynamic state variable to two mutually independent state variables. Rules of differentiation, including the total differential and the cyclic rule, are…

In a first course of general relativity, it is usually quite difficult for students to grasp the concept of a geodesic. It is supposed to be straight (auto-parallel) and yet it "looks" curved. In these situations, it is very useful to have some explicit examples available which show the different behaviour of geodesics. In this paper, we present…

Phase thermodynamics is often perceived as a difficult subject with which many students never become fully comfortable. The Gibbsian geometrical framework can help students to gain a better understanding of phase equilibria. An exercise to interpret the vapor-liquid equilibrium of a binary azeotropic mixture, using the equilibrium condition based…

Powerful geometric software has been available to education for around 20 years but has not had the impact on teaching and learning of mathematics, science and technology that might have been expected. This is in contrast to the widespread adoption of software tools in the world outside education which use geometric algorithms to produce visual…

Reviews the Apple II program "Area and Volume" which investigates the areas and volumes of polygonal regions, circles, and solids for grades 6-12. Provides information updates on three programs: True BASIC 2.0, Turbo BASIC 1.0, and Microsoft QuickBASIC 3.0. (MVL)

This document contains the fifth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Sac and Zaz:…