This paper presents two mathematics activities that model functions studied using the Calculator Based Ranger (CBR) software for TI-82 and TI-83 graphing calculators. The activities concern a bouncing ball experiment and modeling a decaying exponential function. (ASK)

This paper discusses uses of TI-73 graphing calculators for middle school mathematics students. It indicates that with the appropriate use of the TI-73, students can develop understanding about variables and basic concepts of algebra, and explore mathematical topics. Background on middle school students' difficulties with those subjects is…

Hand-held data collection technology allows for access to real-world data collection--at any other time and almost any place. Is the use of data and its collection desirable to the mathematical learning process? The answer is a resounding yes! Not only can significant mathematical ideas be taught in the process; colleagues are also helped in the…

This collection of activities is intended to enhance the teaching of college algebra through the use of modeling. The problems use real data and involve the representation and interpretation of the data. The concepts addressed include rates of change, linear and quadratic regression, and functions. The collection consists of eight problems, four…

This paper introduces a teaching unit on using spiral symmetry in a geometry course for secondary education majors. The TI-92 graphing calculator is used to exploit the exponential function to analyze the geometric topic of similarity and to study the derivative of spirals. The paper provides some procedures and programs to generate spirals using…

Matematica Natural (Natural Mathematics) is a mathematics curriculum for young children based on the assumption that they learn mathematics through concrete, real life, relevant experiences and that educational differences rather than cultural differences influence math achievement. The curriculum uses hands-on materials and activities to teach…

This document provides a preliminary report of the study Gateways To Advance Mathematical Thinking (GAMT) run by Educational Development Center, Inc. (EDC). The study was designed to see what types of reasoning students who have recently completed a linear algebra course apply to problems in algebraic thinking. Student interviews were used as the…

This paper presents the Bouncing Ball Experiment which models quadratic and exponential functions, and the Hot Rod Races activity that explores velocity and acceleration. Activities include directions for the use of TI-82 and TI-83 calculators. (YDS)

This collection of activities is designed to show how graphing calculators can be used to explore statistics. The activities address such topics as data representation, distributions, and statistical tests. Teaching notes and calculator instructions are included as are blackline masters. (MM)

The purpose of this paper is to investigate how collaborative problem solving affects individual mathematical problem-solving ability. Quantitative and qualitative evaluations were conducted, focusing on four students in the same fourth grade mathematics class in Taipei, Taiwan, as they participated in two steps of individual problem-solving…

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 paper is based on the on-going research work and teaching carried out in the Mathematics Foundations Course (MFC) at Goldsmiths College, University of London. It is argued that teaching adult students mathematical investigation has given insight into the way they learn mathematics better and removes the barriers of mathematics phobia. It…

As a learning theory, constructivism describes knowledge as being in flux--where an individual internally constructs knowledge through social and cultural mediation. Constructivist learning theorists contend that social activity and discourse must play important roles in order for understanding to occur. This paper describes how the social…

This paper describes a workshop that aims to change adult students' attitudes toward early number work in order to give them a different perspective and help them make mathematics their own so that they will no longer be looking for the teacher's approval to tell them whether what they have done is correct. (ASK)

This paper posits that, as educators' attention turns to elementary mathematics as preparation for algebra, it is important to begin by examining the kind of elementary mathematics content teaching that is aligned with reform. The paper calls for a close examination of students' development of operation sense. The role of children's engagement…