Recently added articles from Electronic Journal of Mathematics and Technology:
Forming the concept of parameter through the work with computer algebra software.(Report)
Feb 01, 2009; ... 1. Introduction Many researchers investigated opportunities of integration technology into mathematics education. Some of them were interested in answering the question how the use of computer algebra can contribute to understanding of mathematical concepts (Drijvers, 2003, ...
Enhancing understanding and constructing knowledge in graph theory and combinatorial optimization within the 'graphs' multimedia application.(Report)
Feb 01, 2009; ... 1 Introduction Information technology has substantially influenced education. Students find modern technology very handy when looking up things of their own interest. Teachers should take advantage of this fact and try to prepare multimedia study material which optimizes ...
Two walls and two ladders--a calculus problem.(Report)
Feb 01, 2009; ... 1 Introduction This paper deals with the following problem: A moat of width W is secured by two walls of height [H.sub.1] and [H.sub.2]. Two ladders reach across the moat, one from each side, touching at the tips (see Figure 2). We seek to minimize the sum of the ...
An algorithmic approach to Chinese lattice design.(Report)
Feb 01, 2009; ... 1 Introduction The climate of South-East Asia is hot and humid. For this reason, traditional architecture in all the countries in this region is very spacious and contains a lot of openings. In order to protect the inhabitants and to stop birds and small animals entering houses, ...
MathML and JAVA Implementation in Linear Algebra.(Report)
Feb 01, 2009; ... 1 Introduction Learning environments for mathematics have been dramatically developed over the last decade [2, 3]. Throughout Calculus reform (1) and the ATLAST project (2), students have been affected by the changes, and teachers of linear algebra, in particular, are expected ...
Conditions for effective use of interactive on-line learning objects: the case of a fractions computer-based learning sequence.(Report)
Feb 01, 2009; ... 1. Introduction Teachers and researchers have typically described fractions learning as a challenging area of the mathematics curriculum (e.g., Gould, Outhred, & Mitchelmore, 2006, Hiebert 1988, NAEP, 2005). The understanding of part/whole relationships, procedural complexity, ...
Some geometric interpretations of the total distances among curves and surfaces.(Report)
Feb 01, 2009; ... 1 Introduction Throughout this paper, curves are non-intersecting in the plane [R.sup.2] and surfaces are non-intersecting in the space [R.sup.3]. In Sections 2 and 3, we give motivations and examples of finding the global squared distance between two curves or surfaces. Finding ...
An interactive presentation of maple 3D graphics in PDF documents.
Oct 01, 2008; ... Abstract The paper presents the authors' experience with including interactive 3D objects into PDF documents, starting with modifying 3D graphics in Maple, followed by its export into the VRML format, then its conversion to U3D with the use of Deep Exploration, and finishing ...
Integration on Computer Algebra Systems.
Oct 01, 2008; ... Abstract In this article, we consider ten indefinite integrals and the ability of three computer algebra systems (CAS) to evaluate them in closed-form, appealing only to the class of real, elementary functions. Although these systems have been widely available for many years and ...
Computer technologies and live lectures of Mathematics.
Oct 01, 2008; ... Abstract This paper contains an overview of personal experiences of the author in teaching mathematics with computer technology. Different aspects of teaching mathematics with computer technology are analyzed. The usability of selected computer tools for mathematics classes is ...
A mathematical modeling project using MATLAB[R].
Oct 01, 2008; ... Mathematical software has been playing an important role in teaching and learning. This paper reports the students' performance and reaction on the use of MATLAB[R] for a modeling project at the National Taiwan Normal University. It was the first time a mathematical modeling project had ...
General inverses in 2-D, 3-D, applications inspired by technology.
Oct 01, 2008; ... Abstract We first generalize the concept of inverse images with respect to the line y = x to the inverse images with respect to y = mx + b, and we extend the idea to three dimensions. Next, we find the reflection of a point on curve [C.sub.1] with respect to a moving point P on ...
Understanding and developing proofs with the aid of technology.
Oct 01, 2008; ... Abstract: This paper continues the work entitled On Proof Techniques and Technology [2], which discusses strategies on how technology may be used to explore and understand mathematical ideas, and develop different kinds of proofs. 1. Introduction Proofs play an ...
Visual angle on the unit sphere.
Oct 01, 2008; ... Abstract Let AOB be a triangle in the three dimensional Euclidean space [R.sup.3]. When we look at this triangle from various viewpoints, the angle [angle]AOB changes its appearance, and its 'visual size' is not constant. This visual angle is realized on the unit sphere ...
Effects of integrating the use of graphic calculators on mathematics performance from the cognitive load perspective.(Report)
Jun 01, 2008; ... ABSTRACT Cognitive load theory assumes that some learning environment impose greater demands than others, consequently impose a higher information processing load on limited cognitive resources in working memory. The theory holds that if an instructional strategy reduces ...
A unified approach for the order verification of numerical methods.(Report)
Jun 01, 2008; ... Abstract In this paper, we will present a unified numerical technique for the order verification of the error in numerical methods. Four examples are presented to illustrate the approach which include the order verification of the errors in Taylor polynomial approximation, the ...
Use of calculators in the mathematics classroom.(Report)
Jun 01, 2008; ... Abstract: A key variable in the use of calculators in the learning of mathematics is the teacher. In turn there are many factors that influence whether an individual teacher uses the calculator, and if they do then how they use it. This study reports on a ten-year longitudinal survey data ...
Generalizing 2D geometric properties to 3D with the aid of DGS.(Report)
Jun 01, 2008; ... Abstract In This paper we would show flow we could use computer programs in geometry researches. This paper contains the processes of generalizing the properties of 2D-geometry to that of 3D-geometry. In addition, we would show how we could generalize backward; we could ...
Interactive geometry and critical points.(Report)
Jun 01, 2008; ... Abstract Interactity geometry programs make it possible to explore critical points of functions of one and many variables, in courses at carious levels and in research projects. In this article, we show how easy-to-use Java applets illustrate critical point phenomena for ...
Finding signed areas and volumes inspired by technology.(Report)
Jun 01, 2008; ... Abstract We describe how we can find the singed area bounded by a parametric curse with respect to a slanted line, y = mx + b, in two dimensions. We extend this idea to the corresponding setting in three dimensions. These are special cases of Green's Theorem and the Divergence ...