The purpose of this mixed-methods study was to investigate the relationship between teachers' conceptions of mathematics and their use of intelligent tutoring systems for mathematics instruction. Intelligent tutoring systems are adaptive computer programs which administer mathematics instruction to students based on their cognitive state. A…

Considering the range of changes in the instruction and learning of statistics, several questions emerge regarding how those changes influence students' attitudes. Equally, other questions emerge to reflect that statistics is a fundamental course in the university academic programs because of its relevance to the professional development of the…

Manipulatives have been used in many mathematics classrooms across many age groups with the aim of helping students to understand abstract concepts through concrete, kinesthetic, and visual experiences. In this paper, after we provide a background for the use of physical and virtual manipulatives in teaching and learning of mathematics, we will…

This paper reports on a project to improve Beginning Algebra students' understanding of basic algebraic concepts through fully integrated use of the TI-83 graphing calculator. The methodology incorporated an intervention case study including approximately 700 Beginning Algebra students at an open-door community college of 8,500 students in the…

Reports on how students managed some technical aspects of graphics calculators as they used them to study graphs of straight lines and parabolas. Identifies three common student difficulties: (1) tendency to be unduly influenced by the jagged appearance of graphs; (2) poor understanding of the zoom operation; and (3) limited grasp of the processes…

Discusses the problems of conceptualization of the function limit in technological environments (principally graphing calculators today and symbolic calculators tomorrow) that are gradually being adopted in precalculus teaching. Explains how the instrumentation process and the conceptualization process are dependent on each other. Sets forth a…

Presents a study using a module of work based on a graphing calculator that provided an environment where students could experience some aspects of variables and begin to build an understanding of them. Graphing calculators proved to be an instrument for achieving significant improvement in student understanding, which had often proved difficult…

Assumptions: Today, when technology has taken its place in almost all classrooms in schools and colleges across the country, there is a need to know how technology "influences the mathematics that is taught and enhances students' learning" (NCTM, 2000, p. 24). Rationale: This presentation describes qualitative study which purpose was to…

Presents an inquiry into students' conceptual development of a graphics calculator function for direction. Discusses reflective thinking and reflective enculturation, operational and structural understanding, and situated abstraction. (Contains 33 references.) (Author/ASK)

The purpose of this study was to investigate students developing understanding of concepts related to rate of change. Twenty students first participated in a rate of change curriculum unit as part of an after school math and technology program. During the unit, students used motion detectors and related graphing software to create and analyze…

A major goal of this paper is to document changes that occurred in developmental mathematics classrooms in the community college setting when the graphing calculator (GC) Texas Instruments (TI)-83 was introduced to students. The six-week intervention was conducted during the section of Intermediate Algebra in the Community College Baltimore County…

This paper presents learning tasks of a new type that are made possible by dynamic geometry software and discusses reasons why it takes time for teachers to design and use such tasks. The paper is divided into four sections: (1) The Spatial and the Theoretical; (2) Tasks in Dynamic Geometry Software Fostering the Learning of Geometry; (3) The…

The effective use of technology in the mathematics classroom depends on the interaction between students and their peers, students and teacher, and students and technology. This report describes a study of the introduction of a cognitive teaching model for using graphing calculators in a secondary mathematics classroom in Hong Kong. Episodes of…

This document features the experiences of three science teachers who video and audiotaped classroom proceedings in order to go back over what was said in classroom events, to explore the intentions and ideas that were perhaps not fully understood at the time. Mary DiSchino, who teaches 3rd and 4th graders, teaches a science curriculum which she…

The 2006 NCTM Sixty-eighth Yearbook focuses on students' and teachers' learning in statistics centered on a set of activities. Topics include the relation between mathematics and statistics, the development and enrichment of mathematical concepts through the use of statistics, and a discussion of the research related to teaching and learning…