This paper reports changes in the extent to which a group of Year 11 students used a Computer Algebra System (CAS), pen-and-paper (P&P), or a combination of both, when solving routine problems across seven months in four different topics. Comparing the frequency of CAS use across topics shows students made greater use of CAS in the topics of…

This paper reports on a study of choices about the use of a computer algebra system (CAS) or pen-and-paper (p&p) by a class of seven Year 11 Mathematical Methods (CAS) students as they completed a calculus worksheet. Factors that influenced students' choices are highlighted by comparing and contrasting the use of CAS and p&p between…

2009 was the final year of parallel implementation for Mathematical Methods Units 3 and 4 and Mathematical Methods (CAS) Units 3 and 4. From 2006-2009 there was a common technology-free short answer examination that covered the same function, algebra, calculus and probability content for both studies with corresponding expectations for key…

The purpose of this study was to examine the effect on student understanding of Newton's Third Law in an introductory calculus-based physics class when a new graphical representational tool called a system schema was used throughout instruction to help visualize objects and interactions between them explicitly. The system schema serves as an…

Recently the Department of Mathematical Sciences at Middle Tennessee State University embarked upon the task of restructuring its undergraduate program. An important component of this restructuring was a recommendation for the use of technology to enhance the teaching and learning process. As a result, technology was rigorously used in the fall of…

In this paper are described some features of the intensive use of math software, primarily DERIVE, in the context of modeling in an introductory university course in differential equations. Different aspects are detailed: changes in the curriculum that included not only course contents, but also the sequence of introduction to various topics and…

This paper describes a model for effective incorporation of technology into the learning experience of a large and diverse group of students in first-semester first-year tertiary mathematics. It describes the introduction of elementary use of MATLAB, in a course offered both on-campus and at a distance. The diversity of the student group is…

This paper investigates the effects of a computer algebra system (DERIVE) on students' comprehension and computational skills in Brief Calculus, a first course for non-mathematics majors. Research results indicate better conceptual understanding by the group using DERIVE without the loss of pen-and-paper computational ability. (KHR)

This volume contains the proceedings of the International Conference on Technology in Mathematics Education (ICTME) held at the Lebanese American University in July, 2000. The conference included a panel discussion on technology and the new curriculum, hands-on workshops, and focus group discussion centered around the themes of the effects of…

This paper describes two uses of the software package TEMATH (Tools for Exploring Mathematics) with calculus students: (1) as a demonstration tool in the classroom to visually explore with students the many mathematical models introduced in a first year calculus course; and (2) as a part of a lab where students use a set of laboratory explorations…

The Cabri programming language is a dynamic geometry software used all around the world by many of teachers, students, and researchers in mathematics. This paper presents examples of using Cabri and graphing calculators as a tool to practice mathematics and provides ways that mathematics could be approached, taught, and received in a way…

This study explores computer-meditated tutoring and a traditional tutoring model that is carried out on a face-to-face basis and investigates whether there is a difference in high school students' mathematics achievement. In this study, there was no statistically significant difference between the face-to-face and the computer-mediated tutored…

This study investigated students' conceptual and procedural understanding of calculus within the context of an engineering mechanics course. Four traditional calculus students were compared with three students from one of the calculus reform projects, Calculus & Mathematica. Task-based interviews were conducted with each participant throughout…

This paper reviews an approach for finding optimal solutions to the traveling salesman problem, a well-known problem in combinational optimization, and describes implementing the approach using the MAPLE computer algebra system. The method employed in this approach to the problem is similar to the way ant colonies manage to establish shortest…

In this paper, we discuss the (potentially positive) pedagogical role of intrinsic limitations of computational descriptions for mathematical concepts, with special focus on the concept of derivative. Our claim is that, in a suitable approach, those limitations can act for the enrichment of learners' concept images. We report a case study with a…