The purpose of our modeling effort is to predict future outcomes. We assume the data collected are both accurate and relatively precise. For our oscillating data, we examined several mathematical modeling forms for predictions. We also examined both ignoring the oscillations as an important feature and including the oscillations as an important…

Manipulatives have been used in many mathematics classrooms across many age groups with the aim of helping students to understand abstract concepts through concrete, kinesthetic, and visual experiences. In this paper, after we provide a background for the use of physical and virtual manipulatives in teaching and learning of mathematics, we will…

We conducted a series of summer workshops on bioinformatics to increase educators' knowledge of this new field of inquiry with the assumption that their knowledge will, in turn, impact student achievement. The workshops incorporated experiential learning and self-reflection (Loucks-Horsley et al. 1998). Educators demonstrated significant increases…

This paper explores the use of spreadsheets to develop an exploratory environment where mathematics students can develop their own understanding of the parameters of commonly encountered families of functions: linear, logarithmic, exponential and power. The key to this understanding involves opening up the definition of rate of change from the…

The projects Xmath (Bringslid and Canessa, 2002) and dMath (Bringslid, de la Villa and Rodriguez, 2007) were supported by the European Commission in the so called Minerva Action (Xmath) and The Leonardo da Vinci programme (dMath). The Xmath eBook (Bringslid, 2006) includes algorithms into a wide range of undergraduate mathematical issues embedded…

Appropriate educational technologies have the potential to make physics' concepts more accessible through visualization, modeling and multiple representations. Students are engaged in more powerful scientific activities and they are able to perform investigations that would not be possible without the use of technology. This paper presents…

This paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how two-variable inequalities can be utilized as models for the construction of geometric objects using the software Graphing Calculator 3.5 (produced by Pacific Tech) as a relation grapher. An…

An online homework system created for use by beginning calculus students is described. This system was designed with the specific goal of supporting student engagement outside of class by replicating the attempt-feedback-reattempt sequence of events which often occurs in a teacher's presence. Evidence is presented which indicates that this goal…

The culture of the young may, in fact, be a harbinger enticing us to follow a pathway from which will emerge the re-conceptualized educational practices of this new century. The culture of those older will, no doubt, strive to maintain the more golden aspects of their now historical learning experiences. One of the tasks of all educators, but…

Speech technology--especially automatic speech recognition--has now advanced to a level where it can be of great benefit both to able-bodied people and those with various disabilities. In this paper we describe an application "TalkMaths" which, using the output from a commonly-used conventional automatic speech recognition system,…

This paper was prepared in response to the Conference Board of Mathematical Sciences recommendations for the preparation of secondary teachers. It shows how using trigonometry as a conceptual tool in spreadsheet-based applications enables one to develop mathematical understanding in the context of constructing geometric representations of unit…

In this paper we report on the sustained research and development work at the AMSTEL Institute of the University of Amsterdam to improve mathematics and science education at primary and secondary school level, which has lead amongst other things to the development of the integrated computer working environment Coach 6. This environment consists of…

The purpose of this article is five-fold: (1) to elaborate on mathematical pedagogy, the application of mathematics, the misunderstanding and the myth around this powerful language; (2) to explain the differences between theoretical solutions and constructive solutions; (3) to explain the influence of technology and its pivotal--in many cases,…

Summarizes a study which focused on teaching critical thinking skills with computer assisted instruction. Also summarizes a 1980 study in which a microcomputer was used to deliver a version of the program BABELS to college students and a replication of this study with younger students (5th-, 7th-, and 12th-graders). (JN)

Outlines a problem-solving method for beginning chemistry students that utilizes specific, concrete steps as well as computer-assisted tutorials. The method involves an approach referred to as the Factor-Unit Method coupled with a graphical "road map" which allows students to trace problems from start to finish. (JN)