Children are born naturally mathematical, so why is it sometimes so difficult to observe children being mathematical? Why do so many of us think we are "bad" at maths and how does this subconsciously affect the provision, experiences and opportunities we provide for young children who are starting their mathematical learning journey? This easily…

Describes features and uses of the Geometry Forum, a National Science Foundation funded Internet project which includes a set of electronic newsgroups for people interested in geometry. (MKR)

Compares two groups of students in an intermediate algebra course and two groups of students in a college algebra course with regard to the use/non-use of computer algebra software in the courses. Indicates that in both courses, students using the software outperformed the students not using the software on a common final exam. (Author/ASK)

Integrates different geometries and blends several topics that have important applications in both higher mathematics and other disciplines. Aims to make these topics more attractive and understandable to high school students in a way that reinforces logical thinking with visual understanding obtained through computer usage. Contains 28…

Presents mathematics problems which use technology for exploring and verifying relationships among data sets; comparing and analyzing effects of changes in parameters of mathematical models; simulating complex, expensive, or dangerous events using probability models based on random outcomes; and graphically or numerically zooming in on apparent…

Outlines a geometry task that uses computers to transform some quadrilaterals into other quadrilaterals. (ASK)

Learners' choices of problem solving tools and techniques are influenced by the context in which the problem is encountered, and methods utilized in one context may not be recognized as natural ways to proceed in another. Explores the process of fostering learner-initiated applications of technology to address the wide range of problems outside of…

Describes research using a pedagogic strategy developed during an exploratory work called Active Graphing in which access to spreadsheets allows graphs to be used as analytic tools within practical experiments. Identifies aspects of student interaction with the experiment itself, the data collected and the graphs, and traces the emergence of…

It is not necessary for students to learn about numbers and number operations before effectively using calculators; rather that such understanding and skill follows naturally from appropriate access to technology. Students using calculators and computers demonstrate improved attitudes toward mathematics, increased confidence in their problem…

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…

Describes the use of spreadsheets to discuss mathematical concepts without using algebraic notation. Presents examples using Fibonacci numbers and factorials. (MKR)

Describes investigative choices made and strategies used by students to solve problems in classrooms that provided access to a computer algebra system (CAS). Reports that technology-neutral mathematics questions were attempted by approximately equal numbers of students using CAS and traditional paper and pencil. Reveals that students who used the…

Discusses the use of MAPLE, a computer algebra system, to find Chinese pseudoprimes. (MKR)

Considers the idea of "intentional knowledge" and the difference in nature between "knowledge" as a construct of society, and 'knowing' as construct of an individual. Discusses how the theory of didactical situations differs from other constructivist theories with regard to the notion of "intentional knowledge." Uses two cases to illustrate the…

Points out that the notion of "concrete" is relative and argues the advantages of, and recommendations for, using computer manipulatives. (MKR)