A common activity--having students collect data to measure the radius and circumference of circular objects--can be given a new twist. These data can be viewed virtually using technology. A dynamic geometry environment coupled with the powerful capabilities of a spreadsheet can greatly enhance student learning. The activity in this article…

In this paper, we will outline some results of an NCETM (National Centre for Excellence in the Teaching of Mathematics) funded project that aimed to establish a professional development network with an open-source mathematical software--GeoGebra--in England. During the past few years a large international user and developer community has formed…

A multiple baseline design was used to evaluate the effects of a modified Detect, Practice, and Repair (DPR) procedure on multiplication-fact fluency with 10 low-achieving 5th-grade students. Experimenters modified the DPR procedure using Microsoft[C] PowerPoint[C] slide shows to conduct the assessments and allow for more rapid self-evaluation in…

A traditional abstract algebra course typically consists of the professor stating and then proving a sequence of theorems. As an alternative to this classical structure, the students could be expected to discover some of the theorems even before they are motivated by classroom examples. This can be done by using a software system to explore a…

It is a pity that for so many people not involved in Teaching, and for a surprising number who are, mathematics in schools is "chiefly" all about the ability to know a set of facts, multiplication tables and addition bonds in particular, rather than the capacity to reason and explore patterns and relationships in Number and Shape.…

The combination of "Carnegie Learning Curricula and Cognitive Tutor[R] Software" merges algebra textbooks with interactive software developed around an artificial intelligence model that identifies strengths and weaknesses in an individual student's mastery of mathematical concepts. The software customizes prompts to focus on areas in…

This dissertation was conducted in a gendered academy in a low-income community in northern Indiana. The study examined how involvement with inquiry-based mathematical tasks embedded in a curricular unit impacted the geometric reasoning of elementary aged African-American males. The curriculum included activities focused on angles, lines and…

Students of Architecture and Building Engineering Degrees work with Computer Aided Design systems daily in order to design and model architectonic constructions. Since this kind of software is based on the creation and transformation of geometrical objects, it seems to be a useful tool in Maths classes in order to capture the attention of the…

The analysis presented in this article tries to obtain a global view of the field of interactive learning environments (ILE) dedicated to arithmetic and algebra. As preliminaries, a brief overview of evaluation methods focusing on educational software is given and a short description of ten ILEs concerned by the study is provided as a kind of a…

This article presents a web-based tool designed to compute certified equations and graphs of geometric loci specified using standard Dynamic Geometry Systems (DGS). Complementing the graphing abilities of the considered DGS, the equations of the loci produced by the application are remotely computed using symbolic algebraic techniques from the…

The use of difference and differential equations in the modelling is a topic usually studied by advanced students in mathematics. However difference and differential equations appear in the school curriculum in many direct or hidden ways. Difference equations first enter in the curriculum when studying arithmetic sequences. Moreover Newtonian…

The purpose of this study was to investigate the effectiveness of "MathFacts in a Flash" software in helping students learn math standards. In each of their classes, the third-, fourth-, and fifth-grade students in a small private Roman Catholic school from the Pacific Northwest were randomly assigned either to a control group that used…

The Jacobi and Weierstrass elliptic functions used to be part of the standard mathematical arsenal of physics students. They appear as solutions of many important problems in classical mechanics: the motion of a planar pendulum (Jacobi), the motion of a force-free asymmetric top (Jacobi), the motion of a spherical pendulum (Weierstrass) and the…

Developing a software environment to enhance 3D geometric proficiency demands the consideration of theoretical views of the learning process. Simultaneously, this effort requires taking into account the range of tools that technology offers, as well as their limitations. In this paper, we report on the design of Virtual Spaces 1.0 software, a…

These proceedings contain the papers of the International Conference e-Learning 2017, which was organised by the International Association for Development of the Information Society, 20-22 July, 2017. This conference is part of the Multi Conference on Computer Science and Information Systems 2017, 20-23 July, which had a total of 652 submissions.…