The emergence of interactive mathematics software in the early 1990s has invited mathematics education researchers to consider ways that dynamic geometry environments (DGEs) might influence K-16 learners' growth of geometric understanding. This article examines the applicability of the Pirie-Kieren theory to trace this growth. Data for this…

Over the past few decades there has been a large amount of research dedicated to the teaching of statistics. The impact of this research has started to change course content and structure, in both introductory and advanced courses for statisticians and those from other disciplines. In the light of these changes future directions in the teaching…

With the world moving rapidly into digital media and information, the ways in which learning activities in mathematics can be created and delivered are changing. However, to get the best results from the integration of ICTs in education, any application's design and development needs to be based on pedagogically appropriate principles, in terms of…

Although many researchers have examined knowledge building in traditional settings and distance learning, few have examined middle school students' building of mathematical knowledge using mobile phones. The present study uses two well-known models of knowledge building to carry out the examination: the interactive analysis model of knowledge…

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…

Examines research relevant to the debate about the relative emphasis that formal proof should play in high school geometry. Discussion includes establishing truth in geometry, research in students' learning of proof, developing the notion of proof, alternatives to axiomatic approaches, computer construction programs, and classroom recommendations.…

A first grade teacher in a rural elementary school in upper East Tennessee observed that her students needed a better way to improve their computation skills than those of traditional instructional methods. The school system's new Mathematics textbook was correlated with commercial Mathematics software. The teacher wanted to find out if using this…

Summarizes 19 papers presented at the Fourth International Conference on Teaching Statistics held in Morocco, July 1994. Papers presented were in five categories: (1) empirical studies on students' conceptions; (2) theoretical papers on teaching and learning; (3) assessment; (4) using computers in teaching probability and statistics; and (5) data…

This paper suggests that knowledge of the school mathematics curriculum, as one of the key components of teachers' education, can be extended to include concepts and structures that generally belong to hidden domains of the curriculum. Motivated by work done with elementary pre-service teachers in a mathematics course employing a hidden…

Reports on a study of 12 U.S. and Russian elementary students working with a mathematics computer software program. Finds that students working together learned the program's concepts faster. Discusses implications of the findings and the significance of sociohistorical frameworks on cognitive processes. (CFR)

Learning mathematics is the central goal of mathematics education, yet it is the least frequently addressed of the National Council of Teachers of Mathematics' (NCTM's) Principles and Standards. With an increasing population of English language learners and the inclusion of students with learning disabilities into the regular mathematics…

Designed as a forum on teaching and learning in Utah's two-year institutions, this annual publication issues a yearly call to faculty, administrators, students and others for papers on any matters of interest to Utah's community colleges. This 1992 issue of "Focus" includes the following articles: (1) "Videocassette as Text and…

This book for future mathematics teachers emphasizes technology as a teaching tool; development of teachers who are self-motivated, lifelong learners; and pedagogical features that engage and motivate students. It includes examples and activities to enhance learning. Part 1, "General Fundamentals," includes (1) "Introduction"; (2) "Learning,…

The changing role of mathematics in society may require a different mathematics curriculum in the schools. Curriculum builders work constructing pieces of the new mathematics curriculum. To last, this new curriculum must be based on a foundation of experience and research. This book provides access to that foundation for secondary schools and…

Promoting community awareness and understanding of the issues encompassed within the teaching and learning of school mathematics, and involving parents in their children's mathematics education are the first steps toward the goal that every child must gain mathematical power. This document helps to answer some of the most frequent questions that…