This paper describes a project one teacher assigns to Calculus I students at the Department of Mathematical Sciences at Loyola College in Baltimore, Maryland. The project is introduced to the students early in the semester and requires the use of technology, team work, and the completion of an extensive writing component. The goal of the project…

The purpose of this study was to examine the effects of teacher mediation on the mathematics learning of kindergarten students in a computer-assisted learning environment. A sample of 26 students was randomly selected and assigned into experimental and control groups. The experimental group was mediated by a teacher during the computer-assisted…

The everyday mathematics processes of structural engineers were studied and analyzed in terms of abstraction. A main purpose of the study was to explore the degree to which the notion of a gap between school and everyday mathematics holds when the scope of practices considered "everyday" is extended. J. Lave (1988) promoted a methodology…

In this paper seventh-grade pupils' ways of handling aspects of probability have been investigated. The aspects in question were embedded in a dice game, based on the total of two dice. Four different set-ups of dice were included in the situation in which they were up to explore optimal strategies for winning the game. How children understand…

This paper reports on a workshop developed to give middle school teachers experience using the TI-73 calculator as a teaching tool and to serve as a model for the introduction of technology into their classrooms. A booklet prepared for the workshop gave keystrokes used for the TI-73 with an emphasis on features that are unique to this calculator.…

This paper consists of a learning unit for college algebra in which the problem presents three different payment plans for a tuition plan to pay for college expenses. The details of each payment plan are presented, each followed by several exercises so that comparisons of the results can be made across payment plans. (MM)

This collection of activities is designed to show how graphics display calculators can be used to explore pentominoes and tangrams. Activities include games and puzzles developing spatial relations. Teaching notes, solutions, and calculator instructions are included as are blackline masters. (MM)

The computer can be used as a tool to represent and communicate geometric knowledge. With the appropriate software, a geometric diagram can be manipulated through a series of animation that offers more than one particular snapshot as shown in a traditional mathematical text. Geometric constructions with the computer enable the learner to see and…

This paper is designed to show how graphics display calculators can be used to analyze data. The paper describes a classroom activity, where students calculate a linear regression on a data set and answer questions related to the regression. Teaching notes, a full solution, and calculator instructions are included as are blackline masters. (MM)

The main purpose of this paper is to provide teachers of mathematics in higher education with a guide to a selection of web-based resources which it is hoped will be useful in their teaching. Short reviews of a number of web sites are provided. It is not claimed that the collection of sites reviewed is exhaustive, or indeed that those reviewed are…

There are millions of web pages available on the World Wide Web. Using the word "math" or "maths" in one of the many search engines such as Alta Vista brings forth details of many thousands of mathematics web pages. All around the world, mathematicians are more than willing to share their knowledge with others. However, this can present more…

In extra-curriculum activities, the nature of the instructor-learner relationship differs from that in class. This constellation, if accompanied by a smaller gap between the mathematical skills of tutor and learner, has an impact on motivational aspects and on the choice of contents in these activities: The use of problem questions of competition…

Recent publications continue to show that significant numbers of students in junior grades, while competent in basic ruler skills, seem not to have acquired important concepts about how rulers work and units of length. This paper reports on the results of a set of tasks completed by students from Grades 5 and 6. The results show that many students…

Steiner's Porism states that if you can draw a connected ring of circles in the annular region between two original circles, the ring will be successfully completed no matter where you start. This paper explores how the TI-92 graphing calculator can be used to demonstrate Steiner's Porism and illustrate the main points of its proof. Inversion in…

Noting that little is known about young children's informal mathematical knowledge and that such knowledge may contribute to national differences in mathematics achievement, this study examined Taiwanese and American preschool children's informal mathematical knowledge and the type of mathematical activities they encounter in everyday life. Data…