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…

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…

The capacity of the "Geometer's Sketchpad" to trace the path of points by drawing the position of the point at different times provides a powerful tool to help see how velocities are related. Provides a snapshot of the process, along with the traces. (Author/ASK)

Describes the peer-apprenticeship learning situation between two students in distributed computer-mediated co-construction of mathematical meanings. As a result of assimilating the disposition towards playing with ideas, students were able to engage in meaningful idea-based social constructivism. Contains 60 references. (Author/ASK)

Compares the inference and backtracking approaches to solving logic puzzles in computer environments. (Author/ASK)

Examines the effect of a technology-based educational innovation in a school's mathematics program on the knowledge and beliefs of students and teachers, based on recent reform recommendations. Emphasizes unrealized potential and missed opportunities for facilitation due to divergent beliefs of the social groups. Contains 42 references.…

Describes the design and assessment of a video-intensive case-based multimedia tool called HyperMeasure for educating prospective teachers about primary children's mathematical reasoning on linear, area, and volume measure. Reports on a descriptive study of the individual learning of preservice teacher candidates (N=12) using HyperMeasure.…

While many technological capabilities are under development and may turn out to be an optimal future microworld, it is necessary to study the current widespread solution of supporting exploration and learning of school algebra with packages of mathematics software components. Describes and discusses software tools for school algebra. (Contains 45…

Reviews tasks and techniques to help students develop an appropriate instrumental genesis for algebra and functions to prepare for calculus. Focuses on the potential of the calculator to connect enactive representations and theoretical calculus. Discusses strategies to help students experiment with symbolic concepts in calculus. (Contains 32…

Proposes and analyzes game design as a learning environment for students and teachers to build upon and challenge their existing understandings of mathematics,to engage in relevant and meaningful learning contexts, and to develop connections among mathematical ideas and real-world contexts. Contains 55 references. (Author/ASK)

Discusses two approaches to solving word problems that consider the verbal text of the problem, and analyze it to obtain its mathematical expression, as well as its numerical solution. Uses two computerized programs for word problems to capture the various strategies employed by the problem solvers. Contains 21 references. (Author/ASK)